INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(252921, '86,90,219,2342', '<p>A choke coil and a resistance are connected in series in an a.c circuit. A potential difference of 130V is applied to the circuit. If the potential difference aross the resistance is 50V, what should be the potential difference across the choke coil?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-24 07:24:47', NULL),
(252922, '86,90,219,2342', '<p>An emf,&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#949;</mi></math>&nbsp;= 200 sin 377t volt is applied across an inductance L having a resistance of 1.0<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"wrs_chemistry\"><mi mathvariant=\"normal\">&#937;</mi></math>. The maximum current is found to be 10A. Find the value of L.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-24 07:25:36', NULL),
(252923, '86,90,219,2342', '<p>In the RL-circuit shown in fig. 7.23, resistance R = 30<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, resistance&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>X</mi><mi>L</mi></msub><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>40</mn><mi>&#937;</mi></math>&nbsp;and peak emf = 220V.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758698798.png\" style=\"height:120px; width:131px\" /></p>\r\n\r\n<p>Calculate the (i) impedance Z, (ii) phase difference between the emf and current and (iii) the peak current&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>I</mi><mn>0</mn></msub></math>&nbsp;in the circuit</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-24 07:27:23', NULL),
(252924, '86,90,219,2342', '<p>When a coil is connected across a 20 V d.c supply, it draws a current of 5A. When it is connected across 20V, 50 Hz a.c supply, it draws a current of 4A. The self inductance of the coil is _____mH.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-24 07:28:27', NULL),
(252925, '85,80,90,239,915,1742', '<p>80 mL of M/24 <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>K</mi><mn>2</mn></msub><msub><mrow><mi>C</mi><mi>r</mi></mrow><mn>2</mn></msub><msub><mi>O</mi><mn>7</mn></msub></math> oxidises 22.4 mL <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi mathvariant=\"normal\">H</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>2</mn></msub></math>&nbsp;solution. Find volume strength of <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi mathvariant=\"normal\">H</mi><mn>2</mn></msub><msub><mi mathvariant=\"normal\">O</mi><mn>2</mn></msub></math>xsolution.</p>', 'Medium', 'textarea', '<p>5</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-24 15:45:18', NULL),
(252926, '86,90,219,2342', '<p>What is the value of current in the a.c. circuit containing R = 10&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi><mo>,</mo><mo>&#160;</mo><mi>C</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>50</mn><mo>&#160;</mo><mi>&#956;</mi><mi>C</mi></math>&nbsp;in series across 200V, 50 Hz a.c. source?&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:11:18', NULL),
(252927, '86,90,219,2342', '<p>When an alternating voltage of 220 V is applied across a device X, a current of 0.5A flows through the circuit and is in phase with the applied voltage. When the some voltage is applied across another device Y the same current flows through the circuit but it leads the applied voltage by&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi></math>/2 radian. (i) Name the devices X and Y. (ii) Calculate the current flowing in the circuit, when same voltage is applied across the series combination of X and Y.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:14:08', NULL),
(252928, '86,90,219,2342', '<p>A series circuit contains a resistor of 20<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, a capacitor and an ammeter of negligible resistance. It is connected to a source of 220V - 50 Hz. If the reading of the ammeter is 2.5A, calculate the reactance of the capacitor</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:15:27', NULL),
(252929, '86,90,219,2342', '<p>An alternating current of 1.5 mA rms and angular frequency&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#969;</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>100</mn><mo>&#160;</mo><mi>r</mi><mi>a</mi><mi>d</mi><mo>&#160;</mo><msup><mi>s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math>&nbsp;flows through a 10 k<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;resistor and 0.50<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor in series. Calculate the value of rms voltage across the capacitor and the impedance of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:16:57', NULL),
(252930, '86,90,219,2342', '<p>A 20 V - 5 W lamp is to run on 200 V - 50 Hz a.c. mains. Find the capacitance of a capacitor required to run the lamp.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:17:44', NULL),
(252931, '86,90,219,2342', '<p>A resistor of 200&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and a capacitor of 15.0&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F are connected in series to a 220 V, 50 Hz ac source. (a) Calculate the current in the circuit (b) Calculate the voltag (rms) across the resistor and the capacitor. Is the algebraic sum of these voltage more than source voltage? If yes, resolve the paradox</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:19:38', NULL),
(252932, '86,90,219,2342', '<p>A resistor of 30<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and a capacitor of&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mn>250</mn><mi mathvariant=\"normal\">&#960;</mi></mfrac><mi>&#956;</mi><mi>F</mi></math>&nbsp;are connected in series to a 200V, 50 Hz ac source. Calculate (i) the current in the circuit, and (ii) voltage drops across the resistor and the capacitor. (iii) Is the algebric sum of these voltages more than the source voltage? If yes, resolve the paradox.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:21:22', NULL),
(252933, '86,90,219,2342', '<p>An a.c. circuit consists of a series combination of circuit elements &#39;X&#39; and &#39;Y&#39;. The current is ahead of the voltage in phase by&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi><mo>/</mo><mn>4</mn></math>. If element &#39;X&#39; is a pure resistor of 100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, (i) name the circuit element &#39;Y&#39;, and (ii) calculate the rms value of current, if rms value of voltage is 141V. (iii) What will happen if the source is replaced by a dc source?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:23:42', NULL),
(252934, '86,90,219,2342', '<p>A circuit containg a 20<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;resistor and 0.1<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor in series is connected to 230V a.c. supply of angular frequency 100 rad&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math>. What is the impedance of the circuit?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:24:42', NULL),
(252935, '86,90,219,2342', '<p>A circuit consists of a resistance of 10<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and a capacitance of 0.1&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F. If an alternating emf of 100 V, 50 Hz is applied, find the current in the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:25:42', NULL),
(252936, '86,90,219,2342', '<p>A 20 W, 50 V, filament is connected in series to an a.c. mains of 250V, 50 Hz. Calculate the value of the capacitor required to run the lamp.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:26:18', NULL),
(252937, '86,90,219,2342', '<p>Find the impedance of the circuit shown in Fig. 7.26, for (i) direct current and (ii) alternating current of frequency 10/<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi></math>&nbsp;kHz.&nbsp;</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758763698.PNG\" style=\"height:71px; width:165px\" /></p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:28:31', NULL),
(252938, '86,90,219,2342', '<p>A 1<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor is connected to a 220 V - 50 Hz a.c. source. Find the virtual value of current through circuit. What is the peak value of voltage across the capacitor?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:29:24', NULL),
(252939, '86,90,219,2342', '<p>A capacitor in series with a resistance of 30<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;is connected to a.c. mains. The reactance of the capacitor is 40<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>. Calculate the phase difference between the current and the supply voltage.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:30:30', NULL),
(252940, '86,90,219,2342', '<p>A circuit has a resistance of 10<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and its impedance is 100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msqrt><mn>2</mn></msqrt><mi>&#937;</mi></math>. Find the reactance of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:31:15', NULL),
(252941, '86,90,219,2342', '<p>Determine the impedance of a series LCR-circuit if the reactance of C and L are 250<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and 220<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;respectively and R is 40<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math></p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:32:09', NULL),
(252942, '86,90,219,2342', '<p>A resistor of 50 ohm, an inductor of (20/<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi></math>) H and a capacitor of (5/<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi></math>)&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>&nbsp;are connected in series to a voltage source 230V, 50 Hz. Find the impedance of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:41:19', NULL),
(252943, '86,90,219,2342', '<p>What will be the readings in the voltmeter and ammeter of the circuit shown in fig. 7.35?</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758765015.PNG\" style=\"height:120px; width:201px\" /></p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:50:26', NULL),
(252944, '86,90,219,2342', '<p>An inductor L = 0.4 H, a capacitor c = 10<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F and a resistor R = 400<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;are connected in series to an ac source V = 40 sin<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mo>(</mo><mn>1000</mn><mi>t</mi><mo>&#160;</mo><mo>+</mo><mo>&#160;</mo><mi>&#960;</mi><mo>/</mo><mn>3</mn><mo>)</mo></math>&nbsp;volt. Calculate the&nbsp;</p>\r\n\r\n<p>(i) impedance of the circuit, and</p>\r\n\r\n<p>(ii) peak value of current.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:52:06', NULL),
(252945, '86,90,219,2342', '<p>A resistor of 12 ohm, a capacitor of reactance 14 ohm and a pure inductor of inductance 0.1 henry are joined in series and placed across a 200 volt, 50 H a.c. supply. Calculate&nbsp;</p>\r\n\r\n<p>(i) the current in the circuit and</p>\r\n\r\n<p>(ii) the phase angle between the current and the voltage.</p>\r\n\r\n<p>Take&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi></math>&nbsp;= 3 for purpose of calculations.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:53:58', NULL),
(252946, '86,90,219,2342', '<p>Figure 7.36 shows series LC circuit with L = 5.0 H, C = 80&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F, R = 40<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;connected to a variable frequency 240V source. Calculate.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758765376.PNG\" style=\"height:113px; width:151px\" />Fig 7.36</p>\r\n\r\n<p>(i) the angular frequency of the source which derives the circuit at resonance.</p>\r\n\r\n<p>(ii) the current at the resonating frequency</p>\r\n\r\n<p>(iii) the rms potential drop across the capacitor at resonance.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 01:57:04', NULL),
(252947, '86,90,219,2342', '<p>1A resistor of resistance 400&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, and a capacitor of reactance 200&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, are connected in series to a 220V, 50 Hz, a.c source. If the current in the circuit is 0.49 ampere, find the (i) voltage across the resistor and capacitor (ii) value of inductance required so that voltage and current are in phase.</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>1</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>0</p>\r\n\r\n<p>14</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 02:07:02', NULL),
(252948, '86,90,219,2342', '<p>A resistance of 2 ohms, a coil of inductance 0.01H are connected in series with a capacitor, and put across a 200 volt, 50 Hz supply. Calculate.</p>\r\n\r\n<p>(i) the capacitance of the capacitor so that the circuit resonates.</p>\r\n\r\n<p>(ii) the current and voltage across the capacitor at resonance. (Take&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>3</mn></math>)</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 02:08:37', NULL),
(252949, '86,90,219,2342', '<p>An inductor coil joined to a 6V battery draws a steady current of 12A. This coil is connected in series to a capacitor and a.c. source of alternating emf 6V. If the current in the circuit is in phase with the emf, find the rms current.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 02:09:46', NULL),
(252950, '86,90,219,2342', '<p>A ratio of wave of wavelength 300 m can be transmitted by a transmission centre. A condenser of capacity 2.4&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F is available. Calculate the inductance of the required coil for resonance.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 02:10:56', NULL),
(252951, '86,90,219,2342', '<p>A 25.0&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor, a 0.10 henry inductor and a 25.0 ohm are connected in series with an A.C. source whose emf is given by&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#949;</mi></math>&nbsp;= 310 sin 314 t (volt).</p>\r\n\r\n<p>(i) What is the frequency of the emf?</p>\r\n\r\n<p>(ii) What is teh reactance of the circuit?</p>\r\n\r\n<p>(iii) What is the impedance of the circuit?</p>\r\n\r\n<p>(iv) What is the current of the circuit?</p>\r\n\r\n<p>(v) What is the phase angle of the current by which it leads or lags the applied emf?</p>\r\n\r\n<p>(vi) What is the expression for the instantaneous value of current of the circuit?</p>\r\n\r\n<p>(vii) What are the effective voltages across the capacitor, the inductor and the resistor?</p>\r\n\r\n<p>(viii) Construct a vector diagram for these voltages.</p>\r\n\r\n<p>(ix) What value of inductance will make the impedance of circuit minimum?</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 02:48:51', NULL),
(252952, '86,90,219,2342', '<p>The variation of inductive reactance&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfenced><msub><mi>X</mi><mi>L</mi></msub></mfenced></math>&nbsp;of an inductor with the frequency (f) of the a.c. source of 100V and varaible frequency is shown in fig. 7.38</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758768664.PNG\" style=\"height:150px; width:155px\" />Fig 7.38</p>\r\n\r\n<p>(i) Calculate the self-inductance of the inductor.</p>\r\n\r\n<p>(ii) When this inductor is used in series with a capacitor of unknown value and a resistor of 10<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;at 300<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math>&nbsp;, maximum power dissipation occurs in the circuit. Calculate the capacitance of the capacitor.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 02:53:56', NULL),
(252953, '86,90,219,2342', '<p>In a series LCR-circuit, the resonant frequency is 800 Hz. The half power points are obtained at frequencies 745 and 855 Hz. Calculate the Q-factor of the circuit. Also calculate the bandwidth.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 05:52:56', NULL),
(252954, '86,90,219,2342', '<p>A 2<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor, 100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;resistor and 8 H inductor are connected in series with an AC source.</p>\r\n\r\n<p>(i) Waht should be the frequency of the source such taht current drawn in the circuit is maximum? What is this frequency called?</p>\r\n\r\n<p>(ii) If the peak value of emf of the source is 200V, find the maximum current.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 05:54:19', NULL),
(252955, '86,90,219,2342', '<p>A 40&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;resistor, 3 mH inductor and 2&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor are connected in series to a 110V, 5000 Hz a.c. source. Calculate the value of the current in the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 05:55:16', NULL),
(252956, '86,90,219,2342', '<p>A capacitor of unknown capacitance, resistance of 100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and an inductor of self inductance L(=<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mn>4</mn><mo>/</mo><msup><mi>&#960;</mi><mn>2</mn></msup></math>) henry are connected in series across an a.c. source of 200V and 50 Hz. Calculate the value of the capacitance and the current that flows in the circuit when the current is in phase with this voltage.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 05:57:20', NULL),
(252957, '86,90,219,2342', '<p>A 50&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor, 0.05 H inductor and a 48<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;resistor are connected in series with an a.c. source of emf,&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#949;</mi></math>&nbsp;= 310 sin 314t. Calculate the reactance of the circuit and tell its nature. What is the phase angle between the current and the applied emf?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 05:58:56', NULL),
(252958, '86,90,219,2342', '<p>An LCR-series circuit with L = 100 kH, C = 100&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>, R = 120<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;is connected to an a.c. source of emf&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#949;</mi><mo>&#160;</mo></math>&nbsp;= 30 sin 100t volt. Find the impedance, peak current and resonant frequency of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:00:26', NULL),
(252959, '86,90,219,2342', '<p>A 12<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;resistance and an inductance of 0.05/<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"wrs_chemistry\"><mi mathvariant=\"normal\">&#960;</mi></math>H with negligible resistance are connected in series. Across the ends of this is connected a 130 V alternatve voltage of frequency 50 Hz. Calculate the alternating current in the circuit and the potential difference across the resistance and across the inductance.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:03:17', NULL),
(252960, '86,90,219,2342', '<p>A capacitor, resistor of 5<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and an inductor of 50 mH are in series with an a.c. source marked 100V, 50 Hz. It is found that voltage is in phase with the current. Calculate the capacitance of the capacitor and the impedance of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:05:17', NULL),
(252961, '86,90,219,2342', '<p>In the a.c. circuit shown in Fig. 7.39, the main supply has constant voltage but variable frequency. For what frequency will the voltage across the resistance R be maximum?</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758780515.png\" style=\"height:120px; width:204px\" />Fig 7.39</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:08:51', NULL),
(252962, '86,90,219,2342', '<p>An a.c. source of frequency 50 hertz is connected to a 50 mH inductor and a bulb. The bulb glows with some brightness. Calculate the capacitance of the capacitor to be connected in series with the circuit, so that the bulb gows with maximum brightness.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:10:04', NULL),
(252963, '86,90,219,2342', '<p>An a.c source is connected in given series LCR-circuit. The rms potential difference across the capactior of 20<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>&nbsp;is_______V.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758780680.png\" style=\"height:120px; width:181px\" /></p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:12:51', NULL),
(252964, '86,90,219,2342', '<p>A resistance of 20<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, a capacitance of 80<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>&nbsp;and an inductor of 50 mH are connectd in series. This combination is connected across a 220V a.c. supply of variable frequency. When the frequency of supply equals the natural frequency of the ciruit, calculate:</p>\r\n\r\n<p>(a) angular frequency of supply, and</p>\r\n\r\n<p>(b) impedance of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:20:45', NULL),
(252965, '86,90,219,2342', '<p>&nbsp;A light bulb is rated at 100W for a 220 V supply. Find (a) the resistance of the bulb; (b) the peak voltage of the source; and (c) the rms current through the bulb.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:23:11', NULL),
(252966, '86,90,219,2342', '<p>A capacitor and a resistor are connected in series with an a.c. source. If the potential differences aross C, R and 120V, 90V respectively and if the rms current of the circuit is 3A, calculate the (i) impedance, (ii) power factor of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:28:00', NULL),
(252967, '86,90,219,2342', '<p>In the following circuit, calculate (a) the capacitance of the capacitor, if the power factor of the circuit is unity. (b) the Q-factor of this circuit. (c) Given the angular frequency of the a.c. source to be 100/s.</p>\r\n\r\n<p>Calculate the average power dissipated in the circuit.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758781879.png\" style=\"height:120px; width:220px\" />Fig 7.42</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:31:46', NULL),
(252968, '86,90,219,2342', '<p>An alternating current I = 14sin(100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#960;t</mi><mo>)</mo></math>A passes through a series combination of a resistor of 30<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and an inductor of<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfenced><mfrac><mn>2</mn><mrow><mn>5</mn><mi mathvariant=\"normal\">&#960;</mi></mrow></mfrac></mfenced></math>H. Taking&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msqrt><mn>2</mn></msqrt><mo>&#160;</mo><mo>=</mo><mo>&#160;</mo><mn>1</mn><mo>.</mo><mn>4</mn></math>. Calculate the</p>\r\n\r\n<p>(i) rms value of the voltage drops across the resistor and the inductor, and</p>\r\n\r\n<p>(ii) power factor of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:36:22', NULL),
(252969, '86,90,219,2342', '<p>A 200V variable frequency a.c source is connected to a series combination of L = 5 H, C = 80&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F and R = 40<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>. Calculate (i) angular frequency of the source to get maximum current in the circuit, (ii) the current amplitude at resonace and (iii) the power dissipated in the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:38:22', NULL),
(252970, '86,90,219,2342', '<p>A sinusoidal voltage of peak value 283V and frequency 50 Hz is applied to a series LCR circuit in which R = 3<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, L = 25.48 mH, and C = 796&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>. Find (a) the impedance of the circuit, (b) the phase difference between the voltage across the source and the currents. (c) the power dissipated in the circuit, and (d) the power factor.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:40:25', NULL),
(252971, '86,90,219,2342', '<p>A series LCR-circuit with R = 20<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, L = 2 H and C = 50<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F is connected to a 200 volts ac source of variable frequency. What is (i) the amplitude of the current, and (ii) the average power transferred to the circuit in one complete cycle, at resonance? (iii) Calculate the potential drop across the capacitor.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:42:20', NULL),
(252972, '86,90,219,2342', '<p>A virtual current of 4 A flows in a coil when it is connected in a circuit having alternating current of frequency 50 Hz. Power consumed in the coil is 240W. Calculate the inductance of the coil if the virtual potential differences across it is 100V.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:44:36', NULL),
(252973, '86,90,219,2342', '<p>A circuit draws a power of 550w from a source of 220V, 50 Hz. The power factor of the circuit is 0.8. The current in the circuit lags behind the voltage. Show that a capacitor of about&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mn>1</mn><mrow><mn>42</mn><mi mathvariant=\"normal\">&#960;</mi></mrow></mfrac><mo>&#215;</mo><mo>&#160;</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>2</mn></mrow></msup><mi>F</mi></math>&nbsp;will have to be connected to bring its power factor to unity.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:47:57', NULL),
(252974, '86,90,219,2342', '<p>An AC source is connected to an inductance of 100 mH, a capacitance of 100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F and a resistance of 120<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;as shown in the figure. Find the time in which the resistance having a thermal capacity 2&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>J</mi><mo>/</mo><msup><maction actiontype=\"argument\"><mrow/></maction><mo>&#8728;</mo></msup><mi>C</mi></math>&nbsp;will get heated by&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mn>16</mn><mo>&#8728;</mo></msup><mi>C</mi></math>.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758783063.png\" style=\"height:120px; width:298px\" /></p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:51:12', NULL),
(252975, '86,90,219,2342', '<p>A series LCR circuit is made by taking R = 100&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>, L =&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mn>2</mn><mn>5</mn></mfrac><mi>H</mi></math>, C =&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mn>100</mn><mi mathvariant=\"normal\">&#960;</mi></mfrac><mi>&#956;</mi><mi>F</mi></math>. This series combination is connected across an a.c. source of 220V, 50 Hz. Calculate (i) the impedance of the circuit and (ii) the peak value of current flowing in the circuit. Calculate the power factor of this circuit and compare this value with the one at its resonant frequency.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:54:00', NULL),
(252976, '86,90,219,2342', '<p>An inductor of self inductance 100 mH, and a bulb are connected in series with an a.c. source of rms voltage 10V, 50 Hz. It is found that effective voltage of the circuit leads the current in phase by&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mi mathvariant=\"normal\">&#960;</mi><mn>4</mn></mfrac></math>. Calculate the inductance of the inductor used and average power dissipated in the circuit, if a current of 1A flows in the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 06:59:30', NULL),
(252977, '86,90,219,2342', '<p>A 100&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>&nbsp;capacitor is charged with a 50V source supply. Then source supply is removed and the capacitor is connected across an inductance, as a result of which 5A current flows through the inductance. Calculate the value of the inductance.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:01:22', NULL),
(252978, '86,90,219,2342', '<p>A coil has an inductance of 0.7 H and is joined in series with a resistance of 220<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>. Find the wattless component of the current in the circuit, when an alternating emf of 220V at a frequency of 50 Hz is supplied to it.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:03:12', NULL),
(252979, '86,90,219,2342', '<p>Calculate the wavelength of radiowaves radiated out by a circuit consisting of 0.02&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>&nbsp;capacitor and 8<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>H</mi></math>&nbsp;inductor in series.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:04:14', NULL),
(252980, '86,90,219,2342', '<p>An inductor of inductance 2.0 mH is connected across a charged capacitor of capacitance 5.0&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>&nbsp;and the resulting LC-circuit is set oscillating at its natural frequency. Let q denote the instantaneous charge on the capacitor and I the current in the circuit. It is found that maximum value of charge q is 200<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>C</mi></math></p>\r\n\r\n<p>(a) When q = 100&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>C</mi></math>, what is the value of&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfenced open=\"|\" close=\"|\"><mfrac><mrow><mi>d</mi><mi>l</mi></mrow><mrow><mi>d</mi><mi>t</mi></mrow></mfrac></mfenced></math>?</p>\r\n\r\n<p>(b) When q = 200&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>C</mi></math>, what is the value of I?</p>\r\n\r\n<p>(c) Find the maximum value of I.</p>\r\n\r\n<p>(d) When I is equal to one-half its maximum value, what is the value of&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfenced open=\"|\" close=\"|\"><mi>q</mi></mfenced></math>?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:07:47', NULL),
(252981, '86,90,219,2342', '<p>A coil of inductance 150 mH is connected in series with a variable capacitor of capacitance 20 pF to 500 pF. Calculate the frequency range over which the circuit can be turned.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:09:18', NULL),
(252982, '86,90,219,2342', '<p>Calculate the wavelength of radiowaves radiated out by a circuit consisting of 0.02&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi></math>F capacitor and 8<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>H</mi></math>&nbsp;inductor in series.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:31:21', NULL),
(252983, '86,90,219,2342', '<p>A coil of inductance 150 mH is connected in series with a variable capacitor of capacitance 20 pF to 500 pF. Calculate the frequency range over which the circuit can be tuned.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:34:04', NULL),
(252984, '86,90,219,2342', '<p>A 10&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#956;</mi><mi>F</mi></math>&nbsp;capacitor is charged to a potential of 25V. The battery is then disconnected and pure 100 mH coil is connected across the capacitor so that LC-oscillations are set up. Calculate the maximum current in the coil.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 07:35:19', NULL),
(252985, '86,90,219,2342', '<p>A coil has an inductance of 2H and resistance of 4<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>. An emf of 10V is applied across the coil. The energy stored in the magnetic field after the current has built up to its equilibrium value will be___________<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mo>&#215;</mo><msup><mn>10</mn><mrow><mo>-</mo><mn>2</mn></mrow></msup><mi>J</mi></math></p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 09:56:27', NULL),
(252986, '86,90,219,2342', '<p>In an oscillatory circuit, the self-inductance of the coil used is 10 mH. If the oscillatory frequency of the circuit is 1.0 MHz, find teh capacitance of the capacitor connected in the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 09:58:30', NULL),
(252987, '86,90,219,2342', '<p>A wave of wavelength 300m can be radiated through a transmitter. A capacitor of capacitance 2.4&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mn>2</mn><mo>.</mo><mn>4</mn><mi>&#956;</mi></math>F is available. What is the inductance of the coil required for the oscillatory circuit?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 09:59:41', NULL),
(252988, '86,90,219,2342', '<p>How much current is drawn by the primary of a transformer which steps down 220V to 22V to operate a device with an impedance of 220&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:00:48', NULL),
(252989, '86,90,219,2342', '<p>An ideal transformer having a ferromagnetic core consists of two coils having 500 turns (primary) and 50 turns (secondary) respectively.</p>\r\n\r\n<p>(i) What is the voltage across the secondary coil, if the rms voltage across the primary coil is 240V ?</p>\r\n\r\n<p>(ii) What will be the individual currents in the two coils (primary and secondary) if the secondary has a resistive load of 20 ohms?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:02:38', NULL),
(252990, '86,90,219,2342', '<p>A step up transformer has 200 and 3000 turns in its primary and secondary coils respectively. The input voltage given to the primary coil is 90V. Calculate:</p>\r\n\r\n<p>(a) The output voltage across the secondary coil</p>\r\n\r\n<p>(b) The current in the primary coil if the current in the secondary coil is 2.0A</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:04:29', NULL),
(252991, '86,90,219,2342', '<p>The output voltage of an ideal transformer, connected to a 240V a.c. mains is 24 V. When this transformer is used to light a bulb with rating 24V, 24W, calculate the current in the primary coil of the circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:05:55', NULL),
(252992, '86,90,219,2342', '<p>A transformer of 100% efficiency has 200 turns in the primary and 40,000 turns in the secondary. It is connected to a 220V a.c. mains and the secondary feeds to a 100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>k</mi><mi>&#937;</mi></math>&nbsp;resistance. Calculate the output potential difference per turn and the power delivered to the load.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:07:21', NULL),
(252993, '86,90,219,2342', '<p>Calculate the current drawn by the primary of a transformer, which steps down 200V to 20V to operate a device of resistance 20<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>. Assume the efficiency of the transformer to be 80%</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:08:40', NULL),
(252994, '86,90,219,2342', '<p>An a.c voltage&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>v</mi><mi>i</mi></msub></math>&nbsp;= 140 sin(100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#960;t</mi></math>) V is applied to the primary coil having 200 turns, of an ideal tranformer and it supplies a power of 5 kW. If the secondary coil has 1000 turns find:</p>\r\n\r\n<p>(a) the output voltage,</p>\r\n\r\n<p>(b) the instantaneous voltage across the secondary coil, and</p>\r\n\r\n<p>(c) the current in the secondary coil (Take&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msqrt><mn>2</mn></msqrt></math>&nbsp;= 1.4)</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:11:12', NULL),
(252995, '86,90,219,2342', '<p>A 10 kW transformer has 20 turns in the primary and 100 turns in the secondary circuit. An a.c. voltage&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msub><mi>&#949;</mi><mn>1</mn></msub></math>&nbsp;= 600 sin 314 t is applied to the primary. Find (i) the maximum value of flux and (ii) the maximum value of the secondary voltage.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:12:46', NULL),
(252996, '86,90,219,2342', '<p>(i) The primary of a transformer has 400 turns while the secondary has 2000 turns.If teh power output from the secondary at 1100 V is 12.1kW, calculate the primary voltage. (ii) If the resistance of the primary is 0.2<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and that of the secondary is 2.0&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and the efficiency of the transformer is 90%, calculate the heat losses in the primary and the secondary coils.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:15:04', NULL),
(252997, '86,90,219,2342', '<p>A transformer has 300 primary turns and 2400 secondary turns. If the primary supply voltage is 230V, what is the secondary voltage?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:19:42', NULL),
(252998, '86,90,219,2342', '<p>A transformer has 200 primary turns and 150 secondary turns. If the operating voltage for the load connected to the secondary is measured to be 300V, what is the voltage supplied to the primary?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:22:24', NULL),
(252999, '86,90,219,2342', '<p>The primary coil of a transfomer has 60 turns whereas its secondary coil has 3000 turns.</p>\r\n\r\n<p>(i) If a 220V ac voltage is applied to the primary coil, how much emf is induced in the secondary coil?</p>\r\n\r\n<p>(ii) If a current of 5A flows in the primary coil, how much current will flow in a load in the secondary coil? State the assumption you have made regarding the transformer, in this calculation.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:24:46', NULL),
(253000, '86,90,219,2342', '<p>How much current is drawn by the primary of a transformer connected to 220V supply when it delivers power to a 110V - 550 W refrigerator?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:25:51', NULL),
(253001, '86,90,219,2342', '<p>Given the input current 15A and the input voltage of 100V for a step-up transformer having 90% efficiency, output power and the voltage in the secondary oif the output current is 3A</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:26:59', NULL),
(253002, '86,90,219,2342', '<p>The primary of a transformer has 200 turns and the secondary has 1000 turns. If the power output from the secondary at 1000V is 9kW. Calculate (i) the primary voltage and (ii) the heat loss in the primary coil if the resistance of primary is 0.2<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;and the efficiency of the transfomer is 90%</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:35:13', NULL),
(253003, '86,90,219,2342', '<p>A town situated 20 km away from a power plant generating power at 440V, requires 600 kW of electric power at 200V. The resistance of the two wire line carrying power is 0.4&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;per km. The town gets power from the line through a 3000 - 220 V step down transformer at a substation in the town.</p>\r\n\r\n<p>(i) Find the line power losses in the form of heat.</p>\r\n\r\n<p>(ii) How much power must the plant supply, assuming there is negligible power loss due to leakage?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:37:48', NULL),
(253004, '86,90,219,2342', '<p>Kamla peddles a stationary bicycle the pedals of which are attached to a 100 turn coil of area 0.10&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>m</mi><mn>2</mn></msup></math>. The coil rotates at half a revolution per second and it is placed in a uniform magnetic field of 0.01 T perpendicular to the axid of rotation of the coil. What is the maximum voltage generated in the coil?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:39:38', NULL),
(253005, '86,90,219,2342', '<p>An a.c. generator consists of a coil of 100 turns and cross-sectional area of 3&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>m</mi><mn>2</mn></msup></math>, rotating at a constant angular speed of 60 radiations/sec in a uniform magnetic field of 0.04T. The resistance of the coil is 500 ohm. Calculate (i) maximum current drawn from the generator and (ii) maximum power dissipation in the coil.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:41:52', NULL),
(253006, '86,90,219,2342', '<p>A generator develops an emf of 120V and has a terminal potential difference of 115V, when the armature current is 25A. What is the resistance of the armature?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:43:03', NULL);
INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(253007, '86,90,219,2342', '<p>The coil of an ac generator consists of 100 turns of wire, each of area 0.5&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>m</mi><mn>2</mn></msup></math>. The resistance of the wire is 100<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>. The coil is rotating in a magnetic field of 0.8T perpendicular to its axis of rotation, at a constant angular speed of 60 radian per second. Calculate the maximum emf generated and power dissipated in the coil.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:49:40', NULL),
(253008, '86,90,219,2342', '<p>An a.c generator consists of a coil of 50 turns and area 2.5&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>m</mi><mn>2</mn></msup></math>&nbsp;rotating at an angular speed of 60 rad&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>s</mi><mrow><mo>-</mo><mn>1</mn></mrow></msup></math>&nbsp;in a uniform magnetic field of 0.30T. The resistance of the circuit including that of the coil is 500<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>&nbsp;(i) Find the peak value of current drawn from the generator. (ii) What is the flux through the coil when the current is zero?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:51:09', NULL),
(253009, '86,90,219,2342', '<p>An armature coil consists of 20 turns of wire, each of area A = 0.09&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mi>m</mi><mn>2</mn></msup></math>&nbsp;and total resistance 15.0<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>&#937;</mi></math>. It rotates in a magnetic field of 0.5T at a constant frequency of&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mfrac><mn>150</mn><mi mathvariant=\"normal\">&#960;</mi></mfrac></math>&nbsp;Hz. Calculate the value of (i) maximum (ii) average induced emf produced in the coil.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:53:19', NULL),
(253010, '86,90,219,2342', '<p>What is the average value of a.c. ovre a cycle and why?&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 10:58:20', NULL),
(253011, '86,90,219,2342', '<p>(a) When an alternating current is passed through a moving coil galvanometer, it shows no deflection. Why?&nbsp;</p>\r\n\r\n<p>(b) Why a d.c. voltmeter and d.c ammeter cannot read a.c.?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:01:31', NULL),
(253012, '86,90,219,2342', '<p>(a) On which effect of current, a.c ammeters are based? Give reason.</p>\r\n\r\n<p>(b) Can we define rms value of a.c. in terms of the chemical effect of current?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:03:10', NULL),
(253013, '86,90,219,2342', '<p>(a) Which value of current do you read with an a.c. ammeter?</p>\r\n\r\n<p>(b) Can we use a.c. of frequency 15 cps for lighting purpose?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:03:47', NULL),
(253014, '86,90,219,2342', '<p>(a) A 110 d.c heater is used on an a.c. source, such taht the heat produced is the same. What would be the rms value of the alternating voltage?</p>\r\n\r\n<p>(b) 220 V a.c. is more dangerous than 220 V d.c why?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:04:50', NULL),
(253015, '86,90,219,2342', '<p>(a) Find the time required for a 60 Hz alternating current to reach its peak value starting from zero.</p>\r\n\r\n<p>(b) What is meant by the statement that the current through an inductor lags behind the emf across it by&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi mathvariant=\"normal\">&#960;</mi><mo>/</mo><mn>2</mn></math>?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:07:38', NULL),
(253016, '86,90,219,2342', '<p>The frequency of a.c. is doubled. How do&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mi>R</mi><mo>,</mo><mo>&#160;</mo><msub><mi>X</mi><mi>L</mi></msub><mo>&#160;</mo><mi>a</mi><mi>n</mi><mi>d</mi><mo>&#160;</mo><msub><mi>X</mi><mi>C</mi></msub></math>&nbsp;get affected?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:08:11', NULL),
(253017, '86,90,219,2342', '<p>(a) When does an inductor act as a conductor in a circuit? Give reason for it.</p>\r\n\r\n<p>(b) Capacitors block d.c. Why?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:08:58', NULL),
(253018, '86,90,219,2342', '<p>(a) For very high frequency a.c. supply a capacitor behaves like&nbsp; a pure conductor. Why?</p>\r\n\r\n<p>(b) Show that an inductor offers an easy path to d.c. and a resistance path to a.c.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:15:17', NULL),
(253019, '86,80,90,216,239,1742', '<p>A 4.0 cm long straight wire carrying a current of 8 A is placed perpendicular to a uniform magnetic field of strength 0.15 T . The magnetic force on the wire is ________mN .</p>', 'Medium', 'textarea', '<p>48</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-25 11:16:47', NULL),
(253020, '86,80,90,216,239,1742', '<p>An object is placed in front of a concave mirror such that the magnification produced is <math xmlns=\"http://www.w3.org/1998/Math/MathML\"><mo>-</mo><mn>1</mn><mo>/</mo><mn>3</mn></math>. The distance between the object and its image is found to be 30 cm. If the focal length of the mirror is given by x/4 cm, then find the magnitude of the value of x.</p>', 'Medium', 'textarea', '<p>45</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-25 11:25:19', NULL),
(253021, '86,90,219,2342', '<p>An ideal inductor is in turn put across 220V, 50 Hz and 220 V, 100 Hz supplies, Will the current flowing through it in the two cases be the same or different?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:26:46', NULL),
(253022, '86,90,219,2342', '<p>A light bulb and a solenoid are connected in series across an ac source of voltage. Explain, how the glow of the light bulb will be affected when an iron rod is inserted in the solenoid.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:28:33', NULL),
(253023, '86,90,219,2342', '<p>(a) Voltages across L and C in series are&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mn>180</mn><mo>&#8728;</mo></msup><mo>&#160;</mo></math>&nbsp;out of phase. Comment.</p>\r\n\r\n<p>(b) When L and C are connected in parallel, currents in L and C are&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mn>180</mn><mo>&#8728;</mo></msup></math>&nbsp;out of phase. Comment</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 11:29:37', NULL),
(253024, '86,80,90,221,239,1742', '<p>A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60&ordm;. The refractive index of the prism material is&nbsp;<math xmlns=\"http://www.w3.org/1998/Math/MathML\" class=\"wrs_chemistry\"><msqrt><mn>2</mn></msqrt></math>. The angle of incidence (in degrees) is__________</p>', 'Medium', 'textarea', '<p>45</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-25 11:31:25', NULL),
(253025, '86,80,90,195,239,1742', '<p>A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F =<math xmlns=\"http://www.w3.org/1998/Math/MathML\"><msqrt><mi>X</mi></msqrt></math>&nbsp;N as shown in figure. The value of X is_______.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758800901.jpg\" style=\"height:100px; width:120px\" /></p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-25 11:48:49', NULL),
(253026, '86,80,90,203,239', '<p>Least count of a vernier caliper is 1/20N cm. The value of one division on the main scale is 1mm. Then the number of divisions of main scale that coincide with N divisions of vernier scale is :</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-09-25 12:37:57', NULL),
(253027, '85,80,90,239,1069,1742', '<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758810936.jpg\" style=\"height:120px\" /></p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-25 14:37:41', NULL),
(253028, '85,80,90,239,1069,1742', '<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758811132.jpg\" style=\"height:130px; width:244px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>8</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-25 14:40:21', NULL),
(253029, '85,80,90,239,256,1742', '<p>Among the Triatomic molecules/ions&nbsp;<span class=\"equation\">\\(BeCl_{2}, {N_{3}^{-}}, N_{2}O, NO_{2}^{+}, O_{3},SCl_{2}, ICl_{2}^{-}, I_{3}^-, XeF_2\\)</span>&nbsp;the total number of molecules(s)/ions(s)&nbsp;where the hybridization of the central atom does not have contribution from the d-orbital (s) is</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-25 15:05:58', '2025-09-25 21:03:00'),
(253030, '85,80,90,239,246,1742', '<p>A transition for H-atom from II to I orbit has same wavelength as from&nbsp;nth&nbsp;orbit to&nbsp;2nd&nbsp;orbit for&nbsp;He+&nbsp;ion. The value of &lsquo;n&rsquo; is _____</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-09-25 15:18:16', NULL),
(253031, '86,90,219,2342', '<p>(a) When are the voltage and current in LCR-series a.c. circuit in phase?</p>\r\n\r\n<p>(b) If the frequency of the a.c. source in a series LCR-circuit is increased, how does the current in the circuit change?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 16:02:54', NULL),
(253032, '86,90,219,2342', '<p>The hot wire ammeter in Fig. 7.54(a) shows some deflection but not in Fig. 7.54(b). Why ?</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758816326.PNG\" style=\"height:207px; width:431px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 16:05:34', NULL),
(253033, '86,90,219,2342', '<p>(a) When a series LCR-circuit is brought into resonance, the current in the circuit increases to a large value. Why ?</p>\r\n\r\n<p>(b)&nbsp;An air core coil and an electric bulb are connected in series across a 220 V, 50 Hz a.c. source. The bulb glows with some brightness. How will the glow of the bulb be affected on introducing a capacitor in series in circuit ? Justify your answer.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 16:06:51', NULL),
(253034, '86,90,219,2342', '<p>(a)&nbsp;What is the maximum value of power factor ? When does it occur ?</p>\r\n\r\n<p>(b)&nbsp;What is the minimum value of power factor ? When does it occur ?&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 16:07:24', NULL),
(253035, '86,90,219,2342', '<p>(a)&nbsp;Why power correction is must in heavy machinery ?</p>\r\n\r\n<p>(b)&nbsp;In an a.c. circuit, there is no power consumption in an ideal inductor. Why ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-25 16:08:19', NULL),
(253036, '86,90,219,2342', '<p>&nbsp;A capacitor of capacitance C is connected across an a.c. source of maximum emf <span class=\"equation\">\\(V_0{}\\)</span>. What is the average power dissipated in the circuit ? [</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:54:36', NULL),
(253037, '86,90,219,2342', '<p>A perfect self-inductance when con nected to an a.c. source does not produce any heating effect, yet reduces current in the circuit. Why ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:54:48', NULL),
(253038, '86,90,219,2342', '<p>(a) When is the current in a.c. circuit wattless ?</p>\r\n\r\n<p>(b)&nbsp;Which is the best method of reducing current in an a.c. circuit and why ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:55:42', NULL),
(253039, '86,90,219,2342', '<p>(a)&nbsp;Which is the best method of reducing current in an a.c. circuit and why ?</p>\r\n\r\n<p>(b)&nbsp;Can we use a capacitor instead of a choke coil for reducing current in an a.c. circuit ? Give reason.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:56:22', NULL),
(253040, '86,90,219,2342', '<p>(a)&nbsp;With reference to alternating currents and voltages, state any one fundamental difference between resistance and reactance.</p>\r\n\r\n<p>(b)&nbsp;What do you mean by charging and discharging of a capacitor ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:56:41', NULL),
(253041, '86,90,219,2342', '<p>(a)&nbsp;On what factors does the rate of charging and discharging of a capacitor depend ?</p>\r\n\r\n<p>(b)&nbsp;. Show graphically the variation of charge Q with time, when a condenser is charged.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:57:47', NULL),
(253042, '86,90,219,2342', '<p>(a)&nbsp;A capacitor is connected in series to an ammeter across a d.c. Source. Why does the arnmeter&nbsp;show a momentary deflection during the charging of he&nbsp;capacitor ? What would be the deflection when it is fully charged ?</p>\r\n\r\n<p>(b)&nbsp;Define time constant of RC-circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:59:03', NULL),
(253043, '86,90,219,2342', '<p>(a)&nbsp;Why can&#39;t transformer be used to step up d.c. voltage ?</p>\r\n\r\n<p>(b)&nbsp;Does a step up transformer contradict&nbsp;the principle of conservation of energy ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 06:59:34', NULL),
(253044, '86,90,219,2342', '<p>(a)&nbsp;Does a transformer change the frequency of a.c. ?</p>\r\n\r\n<p>(b)&nbsp;What causes the core of a transformer to&nbsp; get heated up under operation ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:00:21', NULL),
(253045, '86,90,219,2342', '<p>(a)&nbsp;Why is the core of a transformer made of soft iron and not of steel ?</p>\r\n\r\n<p>(b)&nbsp;Why is the core of a transformer made of a magnetic material of high permeability ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:00:47', NULL),
(253046, '86,90,219,2342', '<p>(a)&nbsp;A transformer is used to step down a.c. voltage. Which appliance will you use to step down d.c. voltage ?</p>\r\n\r\n<p>(b)&nbsp;The core of transformer is made of a material having narrow hysteresis loop. Why ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:13:55', NULL),
(253047, '86,90,219,2342', '<p>(a)&nbsp;Why is choke preferred to rheostat in controlling a.c. supply ?</p>\r\n\r\n<p>(b)&nbsp;Is there any device by which direct current can be controlled without any loss of energy ? Can a choke coil be used?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:14:22', NULL),
(253048, '86,90,219,2342', '<p>(a)&nbsp;Why a choke coil cannot be used in d.c. ?</p>\r\n\r\n<p>(b)&nbsp;. In India, domestic power supply is at 220 V, 50 Hz, while in USA it is 110 V, 50 Hz. Gve one&nbsp; advantage and one disadvantage of 220 V supply over 110 V supply.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:15:42', NULL),
(253049, '86,90,219,2342', '<p>(a)&nbsp;Figure 7.56 shows the variation of an alternating emf with time. What is the average value of the emf for the shaded part of the graph ?</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758957441.PNG\" style=\"height:260px; width:325px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:17:29', NULL),
(253050, '86,90,219,2342', '<p>(a) For circuits used for transporting electric power, a low power factor implies large power loss in&nbsp; transmission. Explain.</p>\r\n\r\n<p>(b) Power factor can often be improved by the use of a capacitor of appropriate capacitance in the circuit. Explain.</p>\r\n\r\n<p>(c) A lamp is connected in series with a capacitor. Predict your observations for d.c. and a.c. connections. What happens in each case&nbsp;if the capacitance of the capacitor is reduced ?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:22:10', NULL),
(253051, '86,90,219,2342', '<p>Distinguish between resistance, reactance and impedance of an a.c. circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:23:00', NULL),
(253052, '86,90,219,2342', '<p>The graphs shown in Figs. 7.57 (a) &amp; (b) represent the variation of opposition offered by the circuit element to the flow of alternating current with the frequency of the applied emf. Identify the circuit element corresponding to each graph.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758957859.PNG\" style=\"height:394px; width:230px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:24:33', NULL),
(253053, '86,90,219,2342', '<p>Compare the important features of resistance, reactance and impedance for an a.c. circuit.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:25:04', NULL),
(253054, '86,90,219,2342', '<p>Prove that high frequency a.c. can pass through a pure capacitor easily but not through ha pure&nbsp; inductor.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:25:46', NULL),
(253055, '86,90,219,2342', '<p>(a) Draw the graphs showing the variation of the following with the frequency of a.c. source in a circuit : (i) Resistance, (ii) Inductive reactance, (iii) Capacitive reactance</p>\r\n\r\n<p>(b) Can the voltage drop across the inductor or the capacitor in a series LCR-circuit be greater than the applied voltage of the a.c. source? Justify your answer.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:26:28', NULL),
(253056, '86,90,219,2342', '<p>. A capacitor blocks d.c. and allows a.c. to flow through it. Explain.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:26:51', NULL),
(253057, '86,90,219,2342', '<p>You are given an air coil, a bulb, an iron rod and a source of electricity. Suggest a method to find whether the given source is d.c. or a.c. Explain your answer.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:27:44', NULL),
(253058, '86,90,219,2342', '<p>. Figures 7.59(a), (b) and (c) show three a.c. circuits in which equal currents are flowing, If the frequency of emf be increased, how will the current be affected in these circuits ? Give reason for your answer.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758958113.PNG\" style=\"height:189px; width:419px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:28:41', NULL),
(253059, '86,90,219,2342', '<p>Does the current in an a.c. circuit lag, lead or remain in phase with the voltage of frequency applied to the circuit, when (i) f =&nbsp;<span class=\"equation\">\\(f_{r}\\)</span>&nbsp;(ii) f &lt;&nbsp;<span class=\"equation\">\\(f_{r}\\)</span>&nbsp; and (iii) f &gt; <span class=\"equation\">\\(f_{r}\\)</span>,&nbsp;where&nbsp;<span class=\"equation\">\\(f_{r}\\)</span>​​​​​​​ is the resonant frequency ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:31:28', NULL),
(253060, '86,90,219,2342', '<p>When a.c. circuit with L,C and R in series is brought into resonance, the current has large value. Why ? If the capacitance C is increased, will current increase or decrease ? Explain with suitable relation.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:32:04', NULL),
(253061, '86,90,219,2342', '<p>In the circuit shown in Fig. 7.60, R represents an electric bulb. If the frequency of the supply is doubled, how should the values of C and L be changed so that the glow in the bulb remains unchanged ?</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758958397.PNG\" style=\"height:157px; width:247px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:33:23', NULL),
(253062, '86,90,219,2342', '<p>An electric heater is connected, turn by turn, to a d.c. and a.c. sources of equal voltages. Will the rate of heat production be same in the two cases ? Explain.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:33:48', NULL),
(253063, '86,90,219,2342', '<p>A light bulb and an open coil inductor are connected to an a.c. source through a key as shown in Fig. 7.62.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1758958622.PNG\" style=\"height:178px; width:228px\" />​​​​​​​</p>\r\n\r\n<p>The switch is closed and after some time, an iron rod is inserted into the interior of the inductor. The glow of the light bulb : (a) increases; (b) decreases; (c) is unchanged, as the iron rod is inserted. Give your answer with reasons. What will be your answer it ac source is replaced by d.c. ?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:37:18', NULL),
(253064, '86,90,219,2342', '<p>A light lamp is connected across a series (&agrave;) LR-circuit, (Gi) RC circuit, with an ac source. Explain, giving necessary mathematical formula, the effect on he bightness of the bulb in cases (i) and (i) when the frequency of the ac source is increased.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-27 07:38:20', NULL),
(253065, '86,90,219,2342', '<p>Figure 7.63&nbsp;shows a capacitor C, a&nbsp;variable resistor R and a bulb connected in series to the ac source of frequency (v). The bulb glows with some brightness. How will the glow of the bulb be affected, if</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759025346.PNG\" style=\"height:185px; width:204px\" /></p>\r\n\r\n<p>(a) the separation between the plates of the capacitor is doubled, keeping resistance R and frequency (v) the same ?</p>\r\n\r\n<p>(b) the resistance R is decreased keeping the value of capacitance C and frequency (v) name ?</p>\r\n\r\n<p>(c) the frequency of ac source is decreased for the&nbsp;same value of C and R ?</p>\r\n\r\n<p>(d) a dielectric slab is introduced between the plates of the capacitor, keeping resistance R&nbsp;to be the same ? Justify your answer in each Case.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:10:29', NULL),
(253066, '86,90,219,2342', '<p>The current flowing through an inductor of self inductance L&nbsp;is continuously increasing. Plot a&nbsp;graph showing the variation of : (i) Magnetic flux versus the current (ii) Induced emf versus dI /dt (iii) Magnetic voltagepotential energy stored versus the current.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:12:10', NULL),
(253067, '86,90,219,2342', '<p>Show graphically the variation of instantaneous power P with angle <span class=\"equation\">\\(\\omega\\)</span>t when alternating voltage V =&nbsp;<span class=\"equation\">\\(V_{0} sin\\omega\\)</span>&nbsp;​​​​​​​is applied across (i) a pure resistor (ii) a pure inductor and (iii) a pure capacitor.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:14:27', NULL),
(253068, '86,90,219,2342', '<p>On the basis of power dissipation in ac. circuit, distinguish between resistance, reactance and impedance</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:15:08', NULL),
(253069, '86,90,219,2342', '<p>At an airport, a person is made to walk&nbsp;through the doorway of a metal detector, for security&nbsp;reasons. If she/he is carrying anything made of metal,&nbsp;the metal detector emits a sound. On what principle&nbsp;does this detector work ?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:16:06', NULL),
(253070, '86,90,219,2342', '<p>A radio frequency choke is air-cored whereas an audio frequency choke is iron-cored. Give reason for this difference.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:16:24', NULL),
(253071, '86,90,219,2342', '<p>(a) Obtain the expression for the magnetic energy stored in a solenoid in terms of magnetic field B, area A and length l of the solenoid. (b) How does this magnetic energy compare with the electrostatic energy stored in a capacitor ?</p>\r\n\r\n<p>&nbsp;(b)&nbsp;Starting from the&nbsp;expression for the energy W =&nbsp;<span class=\"equation\">\\(\\frac{1 }{2}LI^{2}\\)</span>, stored in a solenoid of self-inductance L to build up the current I, obtain the expression for the magnetic energy in terms of the magnetic field B, area A and length l of the solenoid having n number of turms per unit length. Hence show that the energy density is given by&nbsp;<span class=\"equation\">\\(B^2l2\\mu_{0}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:22:45', NULL),
(253072, '86,90,219,2342', '<p>In a series LR circuit&nbsp;<span class=\"equation\">\\(X_{L}\\)</span>&nbsp;= R and power actor of the circuit is&nbsp;<span class=\"equation\">\\(P_{1}\\)</span>. When capacitor with capacitance C such that&nbsp;<span class=\"equation\">\\(X_{L} = X_{C}\\)</span>&nbsp;is put in series, the pOwer factor becomes <span class=\"equation\">\\(P_{2}\\)</span>&nbsp;Calculate <span class=\"equation\">\\(P_{1} /P_{2}\\)</span>​​​​​​​​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:26:17', NULL),
(253073, '86,90,219,2342', '<p>The current, in the LCR circuit shown in the figure is observed to lead the voltage in phase. Without making any other change in the circuit, a capacitor, of capacitance <span class=\"equation\">\\(C_{0}\\)</span>, is (appropriately) joined to the capacitorC. This results in making the current, in the &#39;modified&#39; circuit, flow in phase with the applied voltage.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759026421.PNG\" style=\"height:140px; width:213px\" /></p>\r\n\r\n<p>Draw a diagram of the modified&#39; circuit and obtain an expression for <span class=\"equation\">\\(C_{0}\\)</span>, in terms of <span class=\"equation\">\\(\\omega\\)</span>​​​​​​​, L and C</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:29:18', NULL),
(253074, '86,90,219,2342', '<p>Explain how the phenomenon of&nbsp;resonance in the circuit can be used&nbsp;in tuning&nbsp;mechanism of a radio or a TV set.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:30:51', NULL),
(253075, '86,90,219,2342', '<p>11 kilowatts of power can be transmitted in two ways :</p>\r\n\r\n<p>(i) 220 volts at 50 amperes and</p>\r\n\r\n<p>(ii) 22,000 volts at 0.5 ampere.</p>\r\n\r\n<p>Which is economical ? Give reasons for your choice.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:31:31', NULL),
(253076, '86,90,219,2342', '<p>(a) Out of the arangements, given below for winding of primary and secondary coils in a transformer, which arrangement do you think will have higher efficiency and why ?</p>\r\n\r\n<p>(b) Show that in an ideal transformer, when the voltage is stepped up by a certain factor, the current gets stepped down by the same factor.</p>\r\n\r\n<p>(c) State any two causes of energy loss in a transformer.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759026744.PNG\" style=\"height:150px; width:294px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:32:47', NULL),
(253077, '86,90,219,2342', '<p>Box A, in the set up shown in Fig. 7.69, represents an electric device often used/needed to supply, electricity power from the (ac) mains, to a load. It is known that&nbsp;<span class=\"equation\">\\(V_{o} &lt; V_{i}\\)</span></p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759026852.PNG\" style=\"height:120px; width:320px\" /></p>\r\n\r\n<p>(a) Identify the device A and draw its symbol.</p>\r\n\r\n<p>(b) Draw a schematic diagram of this electric device. Explain its principle and working. Obtain an expression for the ratio between its output and input voltages.</p>\r\n\r\n<p>(c) Find the relation between the input and output currents of this device assuming it to be ideal.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 02:34:42', NULL),
(253078, '86,90,219,2342', '<p>In a step-up voltage transformer, explain giving reasons, the following facts :</p>\r\n\r\n<p>(a) The output current is less than the input current.</p>\r\n\r\n<p>(b) The iron core is laminated.</p>\r\n\r\n<p>(c) The input power is more than the output Power.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:35:32', NULL),
(253079, '86,90,219,2342', '<p>A simple a.c. generator havinga constant magnetic field is connected to a resistive load. Explain with reasons what will be the effects of doubling its speed of rotation on the following : (a) the frequency of rotation,</p>\r\n\r\n<p>(b) the generated emf, and</p>\r\n\r\n<p>(c) the mechanical power required to rotate the generator ?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 02:35:57', NULL),
(253080, '85,90,746,2342,3535,3539', '<p>Observe the given below Chemical Reaction.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759047036.jpg\" style=\"height:120px; width:431px\" /></p>\r\n\r\n<p>(a) Explain what a rate law expression represents in terms of concentration dependence.</p>\r\n\r\n<p>(b)&nbsp;What is the order of reaction?</p>\r\n\r\n<p>(c) Calculate the value of rate constant, when concentration of HI is 0.1 mol/ litre.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 08:19:38', NULL),
(253081, '85,90,746,2342,3535,3539', '<p>The initial rates of reaction&nbsp; 3A + 2B + C &rarr; products at different initial concentrations are given below.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759047916.jpg\" style=\"height:120px; width:287px\" /></p>\r\n\r\n<p>&nbsp;\r\n<p>(a) Explain what a rate law expression represents in terms of concentration dependence.</p>\r\n</p>\r\n\r\n<p>(b)&nbsp;The order of reaction with respect to the reacts A, B and C are respectively.</p>\r\n\r\n<p>(c) Calculate the value of rate constant, when concentration of each reactants are unity.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 08:28:07', NULL),
(253082, '85,90,746,2342,3535,3539', '<p>For a reaction A + B&rarr;&nbsp;C + 2D, experimental results were collected for three trials and the data obtained are given below:</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759048205.jpg\" style=\"height:120px; width:516px\" /></p>\r\n\r\n<p>(a) Explain what a rate law expression represents in terms of concentration dependence.</p>\r\n\r\n<p>(b)&nbsp;What is the order of reaction?</p>\r\n\r\n<p>(c) Calculate the value of rate constant?</p>\r\n\r\n<p>(d) What will be rate of reaction when concentration of A is 0.5 molar and B is 0.2 molar.</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 08:32:12', NULL),
(253083, '85,90,746,2342,3535,3539', '<p>The rate law that corresponds to data shown for the following reaction. A + B&nbsp;&rarr; products. [Given Concentration reactant A and B are in Mole/litre and rate of reaction is in <span class=\"equation\">\\(mol \\times L^{-1} \\times s^{-1}\\)</span>.}</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759049782.jpg\" style=\"height:140px; width:291px\" /></p>\r\n\r\n<p>(a) Explain what a rate law expression represents in terms of concentration dependence.</p>\r\n\r\n<p>(b)&nbsp;The order of reaction with respect to the reactant A only.</p>\r\n\r\n<p>(c) Calculate the value of rate of reaction, when concentration of each reactants are 0.5 molar.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:02:36', NULL),
(253084, '85,90,746,2342,3535,3539', '<p>Inspect the following experimenatl data of the given reaction. 3A + 2B + C &rarr; Product.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759050363.jpg\" style=\"height:150px; width:309px\" /></p>\r\n\r\n<p>(a) Explain what a rate law expression represents in terms of concentration dependence.</p>\r\n\r\n<p>(b)&nbsp;The order of reaction with respect to the reacts A, B and C are respectively.</p>\r\n\r\n<p>(c) Calculate the rate of reaction, when concentration of each reactants are 0.05 M.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:10:47', NULL),
(253085, '85,90,746,2342,3535,3539', '<p>Select the law that corresponds to data shown for the following reaction&nbsp;A+B&rarr;&nbsp;Products.&nbsp;[Given Concentration reactant A and B are in Mole/litre and rate of reaction is in <span class=\"equation\">\\(mol \\times L^{-1} \\times S^{-1}\\)</span>]</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759050992.jpg\" style=\"height:130px; width:285px\" /></p>\r\n\r\n<p>(a) Explain what a rate law expression represents in terms of concentration dependence.</p>\r\n\r\n<p>(b)&nbsp;The order of reaction with respect to the reactant B only.</p>\r\n\r\n<p>(c) Calculate the value of Rate Constant of the reaction.&nbsp;</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:19:34', NULL),
(253086, '85,90,746,2342,3535,3539', '<p>&nbsp;The following initial rate data were obtained for the reaction :</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759051299.jpg\" style=\"height:160px; width:506px\" /></p>\r\n\r\n<p>(a) What is the order with respect to NO and Br: in the reaction ?&nbsp;<br />\r\n(b) Calculate the rate constant (k).&nbsp;<br />\r\n(c) Determine the rate of reaction when concentration of NO and Brominne are 0.4 M&nbsp;and 0.2 M, respectively.&nbsp;</p>', 'Medium', 'radio', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:22:28', NULL),
(253087, '85,90,746,2342,3535,3539', '<p>Calculate the order of the reaction in A and B :-</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759051709.jpg\" style=\"height:160px; width:388px\" /></p>\r\n\r\n<p>a) Find the order of reaction with respect to A and B.<br />\r\nb) Write the rate law and overall order of reaction.&nbsp;<br />\r\nc) Calculate the rate constant (k).&nbsp;</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:29:37', NULL),
(253088, '86,90,220,2342', '<p>Analyze and categorize the following uses of electromagnetic radiation, identifying the specific region of the electromagnetic spectrum associated with each application:</p>\r\n\r\n<ol>\r\n	<li>\r\n	<p>Aircraft navigation and speed detection.</p>\r\n	</li>\r\n	<li>\r\n	<p>Therapeutic heating for deep muscular strain.</p>\r\n	</li>\r\n	<li>\r\n	<p>Medical diagnostic imaging for bone fractures and internal structures.</p>\r\n	</li>\r\n</ol>\r\n\r\n<p>Furthermore, briefly explain the general physical mechanism responsible for the production of these three distinct types of electromagnetic waves.</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:37:56', NULL),
(253089, '86,90,220,2342', '<p>(a) How do electromagnetic waves get their energy from a charge q oscillating at a given frequency?</p>\r\n\r\n<p>(b)&nbsp;What kind of electromagnetic waves has wavelengths between <span class=\"equation\">\\(10^{-7}\\)</span>&nbsp;and <span class=\"equation\">\\(10^{-9}\\)</span>&nbsp;metres? What causes these waves to occur? Note the two purposes. (2+3 marks)</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:41:30', NULL),
(253090, '86,90,220,2342', '<p><strong>(a) Illustrate</strong> how EM waves transfer both <strong>energy and momentum</strong> using a straightforward, real-world example.</p>\r\n\r\n<p>(b)&nbsp;<strong>List and justify</strong> two significant applications of <strong>infrared (IR) wavelengths</strong> beyond simple heating (e.g., heat lamps).</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:48:33', NULL),
(253091, '86,90,220,2342', '<p>Design and justify a hypothetical, next-generation remote diagnostic system that intentionally integrates and utilizes the unique properties of three distinct regions of the electromagnetic spectrum: Microwaves, Visible Light, and X-rays.</p>\r\n\r\n<p>For each EM region, clearly describe the specific function it would perform within the overall system, focusing on its particular interaction with matter (e.g., penetration, absorption, or reflection) that makes it necessary for the system&#39;s success.</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:48:46', NULL),
(253092, '86,90,220,2342', '<p>(a) Identify the em waves that are created when a nucleus decays radioactively. Also identify their frequency range.</p>\r\n\r\n<p>(b) While working, welders don specialised glass goggles. Why? Explain.</p>\r\n\r\n<p>(c) Why are heat waves frequently used to describe infrared waves? Submit just one application.</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:49:43', NULL),
(253093, '86,90,220,2342', '<p>Electromagnetic waves with wavelengths A, B, C, and D are used for different purposes:</p>\r\n\r\n<p>(a) A is used to treat muscular strain.<br />\r\n(b) B is used by an FM radio station for broadcasting.<br />\r\n(c) C is used to detect fractures in bones.<br />\r\n(d) D is absorbed by the ozone layer of the atmosphere.</p>\r\n\r\n<p>(I) dentify the region of the electromagnetic spectrum to which each wavelength belongs. (2 Marks)</p>\r\n\r\n<p>(II) Arrange the wavelengths in decreasing order of magnitude. (1 Mark)</p>\r\n\r\n<p>(III) Explain why wavelength D is absorbed by the ozone layer. (2 Marks)</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:55:02', NULL),
(253094, '86,90,220,2342', '<p>(a) Short-wave bands are used for long-distance radio broadcasts. Why?</p>\r\n\r\n<p>(b) To transmit TV over great distances, satellites are required. Why?</p>\r\n\r\n<p>(c) While optical and radio telescopes are constructed on the ground, X-ray astronomy can only be carried out from satellites orbiting the earth. Why?</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 09:58:16', NULL),
(253095, '86,90,220,2342', '<p>(a) The stratospheric ozone layer is a thin layer of ozone that surrounds the Earth. Explain why it is essential for human survival.</p>\r\n\r\n<p>(b) If the Earth did not have an atmosphere, would its average surface temperature be higher or lower? Justify your answer.</p>\r\n\r\n<p>(c) Electromagnetic waves of different wavelengths have different uses. Give two practical applications of ultraviolet (UV) waves and microwaves.</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:00:31', NULL),
(253096, '86,90,220,2342', '<p>A capacitor is connected in series with an ammeter across a DC source.</p>\r\n\r\n<p>(a) Explain why the ammeter shows a momentary deflection during the charging of the capacitor. What would be the deflection when the capacitor is fully charged? (2 Marks)</p>\r\n\r\n<p>(b) Define displacement current and conduction current. How is the generalized form of Amp&egrave;re&rsquo;s circuital law obtained to include the displacement current? (2 Marks)</p>\r\n\r\n<p>(c) A parallel-plate capacitor has a changing electric field between its plates. Explain how this change in electric field affects the displacement current. (1 Mark)</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:03:41', NULL),
(253097, '86,90,220,2342', '<p>An electromagnetic wave has a magnetic field amplitude of&nbsp;<span class=\"equation\">\\(B_0= 2 \\times 10^{-6} m/s\\)</span>. Calculate the amplitude of the electric field in the wave.</p>', 'Medium', 'textarea', NULL, 2, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:06:11', NULL),
(253098, '86,90,220,2342', '<p>&nbsp;About 5% of the power of a 100W light bulb is converted to visible radiation. What is the average intensity of visible radiation?</p>\r\n\r\n<p>(a) at a distance of 1m from the bulb?</p>\r\n\r\n<p>(b) at a distance of 10m ?</p>\r\n\r\n<p>Assume that the radiation is emitted isotropic ally and neglect reflection.&nbsp;</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:07:06', NULL),
(253099, '86,90,220,2342', '<p>A plane electromagnetic wave travels in vacuum along the Z-direction.</p>\r\n\r\n<p>(a) In which directions are the electric field and magnetic field vectors oriented?<br />\r\n(b) How are the directions of the electric field, magnetic field, and wave propagation related to each other?</p>', 'Medium', 'textarea', NULL, 2, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:08:32', NULL),
(253100, '86,90,220,2342', '<p>(a) How are infrared (IR) waves produced?<br />\r\n(b) State the range of their wavelengths in the electromagnetic spectrum.</p>', 'Medium', 'textarea', NULL, 2, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:09:19', NULL),
(253101, '86,90,220,2342', '<p>(a) Arrange the following electromagnetic radiations in descending order of wavelength:​​​​​​​&nbsp;X-rays, radiowaves, blue light, infrared light. (2 Marks)</p>\r\n\r\n<p>(b) Which part of the electromagnetic spectrum has the largest penetrating power? Give a reason. (1 Mark)</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:10:40', NULL),
(253102, '86,90,220,2342', '<p>(a) Name the electromagnetic radiation that can be produced by a klystron or a magnetron valve. (1 Mark)</p>\r\n\r\n<p>(b) Explain why the ozone layer, located at the top of the stratosphere, is crucial for human survival. (2 Marks)</p>\r\n\r\n<p>(c) Arrange the following electromagnetic waves in descending order of wavelength:</p>\r\n\r\n<p>Microwaves, Infrared rays, Ultraviolet radiation, &gamma;-rays. (2 Marks)</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:13:16', NULL),
(253103, '86,90,220,2342', '<p>Calculate the electric and magnetic fields produced by the radiation coming from a 100 W bulb at a distance of 3 m. Assume that the efficiency of the bulb is 2.5% and it is a point source.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:19:32', NULL),
(253104, '86,90,220,2342', '<p>A beam of light with an energy flux of 18 W/cm&sup2; strikes a non-reflecting flat surface perpendicularly. The surface has an area of 20 cm&sup2;. Calculate the average radiation force exerted on the surface if the light shines for 30 minutes.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:21:05', NULL),
(253105, '86,90,220,2342', '<p>(a) Describe briefly how electromagnetic waves are produced by oscillating charges.<br />\r\n(b) Give one use of each of the following :&nbsp;(i) infrared rays. (ii) gamma rays.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 10:56:30', NULL),
(253106, '86,90,220,2342', '<p>(a) Identify the part of the electromagnetic spectrum corresponding to each of the following wavelengths:<br />\r\n&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(i) <span class=\"equation\">\\(10^{-3}\\)</span>nm&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(ii) &thinsp;<span class=\"equation\">\\(10^{-3}\\)</span>m&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(iii) 1&thinsp;nm</p>\r\n\r\n<p>(b) For each radiation identified above, state one practical application.</p>', 'Medium', 'textarea', NULL, 5, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-28 11:04:06', NULL),
(253107, '90,113,126,2342', '<p>Give an example of&nbsp;</p>\r\n\r\n<p>(i) a diagonal matrix</p>\r\n\r\n<p>(ii) a scalar matrix</p>\r\n\r\n<p>(iii) a matrix which is diagonal but not scalar</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 16:56:21', NULL),
(253108, '90,113,126,2342', '<p>If a matrix has 18 elements, what are the possible orders it can have? What if it has 5 elements.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 16:56:49', NULL),
(253109, '90,113,126,2342', '<p>(i) Construct a 2 x 2 matrix A =&nbsp;<span class=\"equation\">\\([a_{ij}]\\)</span>&nbsp;whose elements are given by ​​​​​​​<span class=\"equation\">\\(a_{ij} = \\frac{(i+2j)^{2}}{2}\\)</span>&nbsp;​​​​​​​</p>\r\n\r\n<p>(ii) Construct a 2 x 2 matrix A =&nbsp;<span class=\"equation\">\\([a_{ij}]\\)</span>&nbsp;whose elements are given by&nbsp;<span class=\"equation\">\\(a_{ij}\\)</span>&nbsp;= <span class=\"equation\">\\(\\begin{vmatrix}\r\n\r\n(i)^{2}-j\\end{vmatrix}\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 17:07:11', NULL);
INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(253110, '90,113,126,2342', '<p>Construct a 3 x 2 matrix whose elements are given by&nbsp;<span class=\"equation\">\\(a_{ij} = \\frac{1}{2}\\begin{vmatrix}\r\n\r\n(i)-j\\end{vmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-28 17:10:52', NULL),
(253111, '90,113,126,2342', '<p>If&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2x&amp; 1 \\\\\r\n 5&amp;x+2y \r\n\\end{bmatrix} = \\begin{bmatrix}\r\n4 &amp; 1 \\\\\r\n 5&amp;0 \r\n\\end{bmatrix}\\)</span>, find the value of x and y​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:13:17', NULL),
(253112, '90,113,126,2342', '<p>If&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\nx&amp; 3x-y \\\\\r\n 2x+z&amp;3y-w \r\n\\end{bmatrix} = \\begin{bmatrix}\r\n3 &amp; 2 \\\\\r\n 4&amp;7 \r\n\\end{bmatrix}\\)</span>​​​​​​​​​​​​​​, find x, y, z, w</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:14:50', NULL),
(253113, '90,113,126,2342', '<p>Find the&nbsp;value of a, b, c and d from the equation&nbsp;<span class=\"equation\">\\(\\begin{bmatrix} a-b&amp; 2a+c \\\\ 2a-b&amp;3c+d \\end{bmatrix} = \\begin{bmatrix} -1 &amp; 5 \\\\ 0&amp;13 \\end{bmatrix}\\)</span>​​​​​​​.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:16:44', NULL),
(253114, '90,113,126,2342', '<p>Find the value of x, y, z and u which satisfy the matrix equation&nbsp;<span class=\"equation\">\\(\\begin{bmatrix} x+3&amp; x+2y\\\\ z-1&amp;4u-6 \\end{bmatrix} = \\begin{bmatrix} 0 &amp; -7 \\\\ 3&amp;2u \\end{bmatrix}\r\n\r\n\r\n\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:20:31', NULL),
(253115, '90,113,126,2342', '<p>If&nbsp;<span class=\"equation\">\\(\\begin{bmatrix} xy &amp; 4 \\\\ z+6&amp;x+y \\end{bmatrix} = \\begin{bmatrix} 8 &amp; w \\\\ 0&amp;6 \\end{bmatrix}\\)</span>, Find the values of x, y, z and w</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:22:44', NULL),
(253116, '90,113,126,2342', '<p>Find x, y, z and w such that&nbsp;<span class=\"equation\">\\(\\begin{bmatrix} x-y &amp; 2z+w \\\\ 2x-y&amp;2x+w \\end{bmatrix} = \\begin{bmatrix} 5 &amp; 3 \\\\ 12&amp;15 \\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:24:11', NULL),
(253117, '90,113,126,2342', '<p>If&nbsp;<span class=\"equation\">\\(\\begin{bmatrix} x+y &amp; x+2 \\\\ 2x-y&amp;16 \\end{bmatrix} = \\begin{bmatrix} 8 &amp; 5 \\\\ 1&amp;3y+1 \\end{bmatrix}\\)</span>&nbsp;, then write the value of(y - x)</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:26:06', NULL),
(253118, '90,113,126,2342', '<p>Write the value of x - y + z from the following equaiton:</p>\r\n\r\n<p><span class=\"equation\">\\(\\begin{bmatrix} x+y+x \\\\ x+z\\\\ y+z \\end{bmatrix} = \\begin{bmatrix} 9 \\\\ 5\\\\7 \\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:28:48', NULL),
(253119, '90,113,126,2342', '<p>Compare the following sums:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix} 0 &amp; 1 &amp; 5 \\\\ -3 &amp; 2 &amp; 1 \\end{bmatrix} + \\begin{bmatrix} 6 &amp; 2 &amp; -3 \\\\ -1 &amp; 4 &amp; 2 \\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix} \\sqrt{3} &amp; 1 &amp; -1 \\\\ 2 &amp; 3 &amp; 0 \\end{bmatrix} + \\begin{bmatrix} 2 &amp; \\sqrt{5} &amp; 1 \\\\ -2 &amp; 3 &amp; 1/2 \\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-09-28 17:34:48', NULL),
(253120, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2 &amp; -1 \\\\\r\n 4&amp; 2\r\n\\end{bmatrix}\\)</span>, B =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n4 &amp; 3 \\\\\r\n -2&amp; 1\r\n\\end{bmatrix}\\)</span>&nbsp;and C = <span class=\"equation\">\\(\\begin{bmatrix}\r\n-2 &amp; -3 \\\\\r\n -1&amp; 2\r\n\\end{bmatrix}\\)</span>, find each of the folowing:</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>(i) 2B + C&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;(ii) -2A + (B + C)&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (iii) (2A - 3B) - C</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:14:48', NULL),
(253121, '90,113,126,2342', '<p>Compute 3A + 4B if A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2 &amp; 3 &amp; 0 \\\\\r\n-1 &amp;  -1 &amp; 5 \r\n\\end{bmatrix}\\)</span>&nbsp;and B =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1 &amp; -2 &amp; 3\\\\\r\n-1 &amp;  0 &amp; 2 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:17:07', NULL),
(253122, '90,113,126,2342', '<p>If A = diag. [2,&nbsp; -5,&nbsp; 9], B = diag. [-3, 7, 14] and&nbsp; C = diag. [4, -6, 3]; find</p>\r\n\r\n<p>(i) A + 2B</p>\r\n\r\n<p>(ii) 2A+B -5C</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:19:09', NULL),
(253123, '90,113,126,2342', '<p>Verify that (A + B) + C = A + (B + C) i.e, matrix addition is associate, if&nbsp;</p>\r\n\r\n<p><span class=\"equation\">\\(A=\\begin{bmatrix}\r\n2 &amp; 1 &amp; 1 \\\\\r\n3 &amp;  -1 &amp; 0 \\\\\r\n0 &amp;2&amp;4\\end{bmatrix}\\)</span>,&nbsp;<span class=\"equation\">\\(B =\\begin{bmatrix}\r\n9 &amp; 7 &amp; -1 \\\\\r\n3 &amp;  5 &amp; 4 \\\\ 2 &amp; 1 &amp; 6 \r\n\\end{bmatrix}\\)</span>&nbsp;and C = <span class=\"equation\">\\(C = \\begin{bmatrix}\r\n2 &amp; -4 &amp; 3 \\\\\r\n1 &amp;  -1 &amp; 0 \\\\ 9&amp; 4&amp; 5\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:26:42', NULL),
(253124, '90,113,126,2342', '<p>Solve the following matrix equations:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(2\\begin{bmatrix}\r\nx &amp; y \\\\\r\nz &amp; t\r\n\\end{bmatrix} +3\\begin{bmatrix}\r\n1 &amp; -1 \\\\\r\n0 &amp; 2\r\n\\end{bmatrix}=3\\begin{bmatrix}\r\n3 &amp; 5 \\\\\r\n4 &amp; 6\r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\nx^{2} \\\\\r\ny^{2}\r\n\\end{bmatrix}-3 \\begin{bmatrix}\r\nx \\\\\r\n2y\r\n\\end{bmatrix} = \\begin{bmatrix}\r\n-2 \\\\\r\n9\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:31:28', NULL),
(253125, '90,113,126,2342', '<p>(i) If&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\nx-y &amp; 2 &amp; -2 \\\\\r\n 4&amp; x &amp;6\r\n\\end{bmatrix} + \\begin{bmatrix}\r\n3 &amp; -2 &amp; 2 \\\\\r\n 1&amp; 0 &amp;-1\r\n\\end{bmatrix} =\\begin{bmatrix} \r\n6 &amp; 0 &amp; 0 \\\\\r\n 5&amp; 2x + y &amp;5\r\n\\end{bmatrix}\\)</span>, then find the value of x and y</p>\r\n\r\n<p>(ii) If&nbsp;&nbsp;<span class=\"equation\">\\(2\\begin{bmatrix}\r\n x&amp; 5 \\\\\r\n7 &amp; y -3\r\n\\end{bmatrix} + \\begin{bmatrix}\r\n 3&amp; 4 \\\\\r\n1 &amp; 2\r\n\\end{bmatrix} = \\begin{bmatrix}\r\n 7&amp; 14 \\\\\r\n15 &amp; 14\r\n\\end{bmatrix}\\)</span>, then find the values of x + y</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:49:34', NULL),
(253126, '90,113,126,2342', '<p>Find the values of&nbsp;<span class=\"equation\">\\(\\lambda\\)</span>, a non-zero scalar, if&nbsp;<span class=\"equation\">\\(\\lambda\\begin{bmatrix}\r\n1 &amp; 0 &amp; 2 \\\\\r\n 3&amp; 4 &amp;5 \r\n\\end{bmatrix} + 2 \\begin{bmatrix}\r\n1 &amp; 2 &amp; 3 \\\\\r\n -1&amp; -3 &amp;2 \r\n\\end{bmatrix} = \\begin{bmatrix}\r\n4 &amp; 4 &amp; 10 \\\\\r\n 4&amp; 2 &amp;14 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:52:38', NULL),
(253127, '90,113,126,2342', '<p>Sove for matrix X the equation :&nbsp;<span class=\"equation\">\\(X + \\begin{bmatrix}\r\n0 &amp; 1 &amp; 5 \\\\\r\n 1&amp; 0 &amp; 4 \\\\\r\n2 &amp; -6 &amp; 8\r\n\\end{bmatrix} = \\begin{bmatrix}\r\n1 &amp; 2 &amp; 3 \\\\\r\n 2&amp; 3 &amp; 1 \\\\\r\n3 &amp; 2 &amp; 1\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:54:14', NULL),
(253128, '90,113,126,2342', '<p>In a society there are 30 departments. Each department has 10 office beareres, 5 clerks and 3 peions. Express the given information as a column matrix. Using scalar multiplication, find the total numebr of posts of each kind in all the departments.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:56:11', NULL),
(253129, '90,113,126,2342', '<p>If&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n5 &amp; -1 \\\\\r\n 3&amp; 2\r\n\\end{bmatrix}\\)</span>&nbsp;and B =&nbsp;<span class=\"equation\">\\( \\begin{bmatrix}\r\n-4 &amp; 3 \\\\\r\n 1&amp; -2\r\n\\end{bmatrix} \\)</span>, then find the matrix X such that 3A - 2B + 3X = 0</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 02:58:50', NULL),
(253130, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n2 &amp; -2 \\\\\r\n 4&amp; 2 \\\\\r\n-5 &amp; 1\r\n\\end{bmatrix}, B =\\begin{bmatrix}\r\n8 &amp; 0 \\\\\r\n 4&amp; -2 \\\\\r\n3 &amp; 6\r\n\\end{bmatrix}\\)</span>; find the matrix X such taht 2A + 3X = 5B​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:00:39', NULL),
(253131, '90,113,126,2342', '<p>Find a matrix A such that 2A - 3B + 5C = 0, where&nbsp;&nbsp;<span class=\"equation\">\\(B = \r\n\\begin{bmatrix}\r\n -2&amp; 2 &amp; 0 \\\\\r\n3 &amp; 1 &amp; 4\r\n\\end{bmatrix}\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(C = \r\n\\begin{bmatrix}\r\n 2&amp; 0 &amp; -2 \\\\\r\n7 &amp; 1 &amp; 6\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:03:23', NULL),
(253132, '90,113,126,2342', '<p>Find X if Y =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3 &amp; 2 \\\\\r\n 1&amp; 4\r\n\\end{bmatrix}\\)</span>&nbsp;and 2X + Y = <span class=\"equation\">\\(\\begin{bmatrix}\r\n1 &amp; 0 \\\\\r\n -3&amp; 2\r\n\\end{bmatrix}\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:04:43', NULL),
(253133, '90,113,126,2342', '<p>Find X and Y if X + Y =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n7 &amp; 0 \\\\\r\n 2&amp; 5\r\n\\end{bmatrix}\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(X - Y = \\begin{bmatrix}\r\n3 &amp; 0 \\\\\r\n 0&amp; 3\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:05:47', NULL),
(253134, '90,113,126,2342', '<p>Find X and Y if 2X + Y =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n4 &amp; 4 &amp; 7 \\\\\r\n 7&amp; 3 &amp;4 \r\n\\end{bmatrix}\\)</span>&nbsp;and X - 2Y = <span class=\"equation\">\\(\\begin{bmatrix}\r\n-3 &amp; 2 &amp; 1\\\\\r\n 1&amp; -1 &amp;2\r\n\\end{bmatrix}\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:07:18', NULL),
(253135, '90,113,126,2342', '<p>Find the product AB for the following:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n2 &amp; 3 &amp; 4 \\\\\r\n -1&amp; 2 &amp;-5 \r\n\\end{bmatrix}\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(B = \\begin{bmatrix}\r\n1 &amp; 2 \\\\\r\n 3&amp; -4 \\\\\r\n -5&amp;6 \r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n1 &amp;2  &amp;-3  \\\\\r\n -2&amp;1  &amp; 7\r\n\\end{bmatrix}\\)</span>&nbsp;and B = <span class=\"equation\">\\(\\begin{bmatrix}\r\n2 &amp; 3 &amp; 1 \\\\\r\n 5&amp; 4 &amp; 2 \\\\\r\n 1&amp; 6 &amp;3 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n1 &amp; 2 &amp; 3 \\\\\r\n 4&amp; 5 &amp; 6 \\\\\r\n 7&amp; 8 &amp;9 \r\n\\end{bmatrix}\\)</span>and&nbsp;<span class=\"equation\">\\(B = \\begin{bmatrix}\r\n1 &amp; 0 &amp; 1 \\\\\r\n 2&amp; 1 &amp; 2 \\\\\r\n 4&amp; 1 &amp;3 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:13:19', NULL),
(253136, '90,113,126,2342', '<p>Evaluate the following :&nbsp;</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\([1 2 3] \\begin{bmatrix}\r\n1 &amp; 0 &amp; 2 \\\\\r\n2 &amp; 0 &amp; 1 \\\\\r\n 0&amp; 1 &amp; 2\r\n\\end{bmatrix} \\begin{bmatrix}\r\n2 \\\\4\r\n \\\\6\r\n\r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\([a b] \\begin{bmatrix}\r\nc \\\\d\r\n\r\n\\end{bmatrix}+ [a b c d] \\begin{bmatrix}\r\na \\\\b\r\n \\\\c\r\n \\\\d\r\n\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:18:14', NULL),
(253137, '90,113,126,2342', '<p>Evaluate the following :&nbsp;</p>\r\n\r\n<p>&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2 &amp; -3 &amp; 4 \r\n\\end{bmatrix} \\begin{bmatrix}\r\n3 \\\\2\r\n \\\\2\r\n\r\n\\end{bmatrix} + \\begin{bmatrix}\r\n1 &amp; 2 &amp; 3 \r\n\\end{bmatrix}\\begin{bmatrix}\r\n2 \\\\3\r\n \\\\4\r\n\r\n\\end{bmatrix} \\)</span></p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:23:27', NULL),
(253138, '90,113,126,2342', '<p>If&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n-2 &amp; 3 &amp; -1 \\\\\r\n -1&amp; 2 &amp; -1 \\\\\r\n -6&amp; 9 &amp; -4 \r\n\\end{bmatrix}, B = \\begin{bmatrix}\r\n1 &amp; 3 &amp; -1 \\\\\r\n 2&amp; 2 &amp; -1 \\\\\r\n 3&amp; 0 &amp; -1 \r\n\\end{bmatrix}\\)</span>; prove that AB = BA</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:25:49', NULL),
(253139, '90,113,126,2342', '<p>Verify that (AB)C = A(BC) if</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n1 &amp; 2 \\\\\r\n3 &amp; 1\r\n\\end{bmatrix}, B = \\begin{bmatrix}\r\n2 &amp; 1 \\\\\r\n3 &amp; 2\r\n\\end{bmatrix} \\)</span>&nbsp;and C = <span class=\"equation\">\\(C = \\begin{bmatrix}\r\n1 &amp; 2 &amp; 3 \\\\\r\n3 &amp; 1 &amp; 0\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n 1&amp; 1 &amp; -1 \\\\\r\n 2&amp; 0 &amp; 3 \\\\\r\n3 &amp; -1 &amp; 2\r\n\\end{bmatrix}, B = \\begin{bmatrix}\r\n1 &amp; 3 \\\\\r\n 0&amp;  2\\\\\r\n-1 &amp;4 \r\n\\end{bmatrix}\\)</span>&nbsp;and C =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1 &amp; 2 &amp; 3 &amp; -4 \\\\\r\n 2&amp; 0 &amp;-2  &amp;1 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:30:33', NULL),
(253140, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n 0&amp; 6 &amp; 7 \\\\\r\n -6&amp; 0 &amp; 8 \\\\\r\n 7&amp; -8 &amp;0 \r\n\\end{bmatrix}, B = \\begin{bmatrix}\r\n 0&amp; 1 &amp; 1 \\\\\r\n 1&amp; 0 &amp; 2 \\\\\r\n 1&amp; 2 &amp;0 \r\n\\end{bmatrix}\\)</span>&nbsp;and C = <span class=\"equation\">\\(\\begin{bmatrix}\r\n2 \\\\-2\r\n \\\\3\r\n\r\n\\end{bmatrix}\\)</span>, then verify that (A + B)C = AC + BC ​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:33:20', NULL),
(253141, '90,113,126,2342', '<p>Solve for x and y, given that&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3 &amp; -4 \\\\\r\n1 &amp;2 \r\n\\end{bmatrix}\\begin{bmatrix}\r\nx \\\\y\r\n\r\n\\end{bmatrix} = \\begin{bmatrix}\r\n3 \\\\11\r\n\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 03:35:34', NULL),
(253142, '90,113,126,2342', '<p>(i) Solve the matrix equation&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n5 &amp; 4 \\\\\r\n 1&amp; 1\r\n\\end{bmatrix} X = \\begin{bmatrix}\r\n1 &amp; -2 \\\\\r\n 1&amp; 3\r\n\\end{bmatrix}\\)</span>, where X is a 2 x 2 matrix.</p>\r\n\r\n<p>(ii) Find a 2 x 2 matrix A such that A&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1 &amp; -2 \\\\\r\n 1&amp; 4\r\n\\end{bmatrix} = 6I_{2}\\)</span></p>\r\n\r\n<p>(iii) Find a matrix X so that X&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1 &amp; 2 &amp; 3 \\\\\r\n 4&amp; 5 &amp;6 \r\n\\end{bmatrix}\r\n= \\begin{bmatrix}\r\n-7 &amp; -8 &amp; -9 \\\\\r\n 2&amp; 4 &amp;6 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:08:50', NULL),
(253143, '90,113,126,2342', '<p>Find the value of x such that&nbsp;</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2x &amp;3 \r\n\\end{bmatrix}\\begin{bmatrix}\r\n1 &amp; 2 \\\\\r\n-3 &amp;0 \r\n\\end{bmatrix} \\begin{bmatrix}\r\nx \\\\3 \r\n\r\n\\end{bmatrix} = O\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1 &amp;x &amp; 1 \r\n\\end{bmatrix}\\begin{bmatrix}\r\n1 &amp; 2 &amp; 3\\\\\r\n4 &amp;5 &amp; 6\\\\3&amp;2&amp;5 \r\n\\end{bmatrix} \\begin{bmatrix}\r\n1 \\\\-2\\\\3 \r\n\r\n\\end{bmatrix} = O\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:12:26', NULL),
(253144, '90,113,126,2342', '<p>If (A-2)(A-3I) = O, where A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n4 &amp;2\\\\-1&amp;x \r\n\\end{bmatrix} \\)</span>&nbsp;and <span class=\"equation\">\\(I = \\begin{bmatrix}\r\n1 &amp;0\\\\0&amp;1\r\n\\end{bmatrix}\\)</span>, then find the value of x.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:14:50', NULL),
(253145, '90,113,126,2342', '<p>If the matrix A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\ncos2\\theta &amp; sin 2\\theta\\\\-2sin\\theta&amp;cos2\\theta\r\n\\end{bmatrix}\\)</span>; find <span class=\"equation\">\\(A^2\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:17:22', NULL),
(253146, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n\\alpha &amp; 0\\\\1&amp;1\r\n\\end{bmatrix}\\)</span>&nbsp;and B =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;0\\\\5&amp; 1\r\n\\end{bmatrix}\\)</span>, find the values of <span class=\"equation\">\\(\\alpha\\)</span>&nbsp;for which&nbsp;<span class=\"equation\">\\(A^2 = B\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:20:42', NULL),
(253147, '90,113,126,2342', '<p>If matrix A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n\\alpha&amp;\\beta\\\\\\gamma&amp;-\\alpha \r\n\\end{bmatrix}\\)</span>is such that&nbsp;<span class=\"equation\">\\(A^2 = I\\)</span>, then prove that&nbsp;<span class=\"equation\">\\(\\alpha^2+\\beta\\gamma=1\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:23:27', NULL),
(253148, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;-5\\\\-4&amp;2 \r\n\\end{bmatrix}\\)</span>, then find <span class=\"equation\">\\(A^2-5A-14I\\)</span>​​​​​​​, where I is a unit matrix.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:24:45', NULL),
(253149, '90,113,126,2342', '<p>(i) A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;0\\\\-1&amp;7\r\n\\end{bmatrix}\\)</span>, then find k so that <span class=\"equation\">\\(A^2 = 8A+kI\\)</span>.​​​​​​​​​​​​​​</p>\r\n\r\n<p>(ii) If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n-3&amp;2\\\\1&amp;-1\r\n\\end{bmatrix} \\)</span>&nbsp;and <span class=\"equation\">\\(I = \\begin{bmatrix}\r\n1&amp;0\\\\0&amp;1\r\n\\end{bmatrix} \\)</span>, then find scalar k so that <span class=\"equation\">\\(A^2+I = kA\\)</span>​​​​​​​​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:27:53', NULL),
(253150, '90,113,126,2342', '<p>(i) Verifty that A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2&amp;3\\\\1&amp;2\r\n\\end{bmatrix} \\)</span>&nbsp;satisfies the equation <span class=\"equation\">\\(A^3-4A^2+A=O\\)</span>.​​​​​​​​​​​​​​</p>\r\n\r\n<p>(ii) If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;2&amp;2\\\\2&amp;1&amp;2\\\\2&amp;2&amp;1\r\n\\end{bmatrix} \\)</span>, show that&nbsp;<span class=\"equation\">\\(A^2-4A-5I=O\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:30:42', NULL),
(253151, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;0&amp;2\\\\0&amp;2&amp;1\\\\2&amp;0&amp;3\r\n\\end{bmatrix} \\)</span>and <span class=\"equation\">\\(A^3-6A^2+7A+KI=O\\)</span>, then find the value of k​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:32:12', NULL),
(253152, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;2\\\\2&amp;1\r\n\\end{bmatrix} \\)</span>, f(x) = <span class=\"equation\">\\(x^2-2x-3\\)</span>, show that f(A) =O​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:33:12', NULL),
(253153, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;-5\\\\-4&amp;2\r\n\\end{bmatrix} \\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(f(x) = x^2-5x-14\\)</span>, then find f(A), Hence, obtain <span class=\"equation\">\\(A^3\\)</span>.​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:34:29', NULL),
(253154, '90,113,126,2342', '<p>If&nbsp;<span class=\"equation\">\\(A = \\begin{bmatrix}\r\n2&amp;3\\\\1&amp;2\r\n\\end{bmatrix} \\)</span>&nbsp;and I =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;0\\\\0&amp;1\r\n\\end{bmatrix} \\)</span>; find x and y such that&nbsp;<span class=\"equation\">\\(A^2 = xA+yI\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>\r\n\r\n<p>&nbsp;</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:35:51', NULL),
(253155, '90,113,126,2342', '<p>Show that A + A&#39; is symmetric when</p>\r\n\r\n<p>(i) A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2&amp;4\\\\5&amp;6\r\n\\end{bmatrix} \\)</span></p>\r\n\r\n<p>(ii) A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;-1&amp;2\\\\4&amp;5&amp;1\\\\6&amp;0&amp;3\r\n\\end{bmatrix} \\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:37:33', NULL),
(253156, '90,113,126,2342', '<p>Show that A-A&#39; is skew-symmetric when</p>\r\n\r\n<p>(i) A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;4\\\\3&amp;7\r\n\\end{bmatrix} \\)</span></p>\r\n\r\n<p>(ii) A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n4&amp;-1&amp;2\\\\3&amp;0&amp;5\\\\6&amp;1&amp;3\r\n\\end{bmatrix} \\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:38:45', NULL),
(253157, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;1&amp;-1\\\\0&amp;1&amp;2\r\n\\end{bmatrix} \\)</span>, then show that AA&#39; and A&#39;A are both symmetric matrices.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:39:49', NULL),
(253158, '90,113,126,2342', '<p>For what value of x, is the matrix A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n0&amp;1&amp;-2\\\\-1&amp;0&amp;3\\\\x&amp;-3&amp;0\r\n\\end{bmatrix} \\)</span>a skew-symmetric matrix?​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 05:40:55', NULL),
(253159, '90,113,126,2342', '<p>If the matrix&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n-2&amp;x-y&amp;5\\\\1&amp;0&amp;4\\\\x+y&amp;z&amp;7\r\n\\end{bmatrix} \\)</span>&nbsp;is symmetric, find the values of x, y and z</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:08:46', NULL),
(253160, '90,113,126,2342', '<p>If the matrix&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n0&amp;a&amp;3\\\\2&amp;b&amp;-1\\\\c&amp;1&amp;0\r\n\\end{bmatrix} \\)</span>&nbsp;is skew-symmetric, find the values of a, b and c</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:09:47', NULL),
(253161, '90,113,126,2342', '<p>Express the following matrices as sum of a symmetric and skew-symmetric matrix:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;-4\\\\1&amp;-1\r\n\\end{bmatrix} \\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n4&amp;2\\\\3&amp;5\r\n\\end{bmatrix} \\)</span></p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:11:21', NULL),
(253162, '90,113,126,2342', '<p>Express the following matrices as sum of a symmetric and skew-symmetric matrix:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 2&amp; 4 &amp; -6 \\\\\r\n 7&amp; 3 &amp;5  \\\\\r\n 1&amp;-2  &amp;4 \r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 6&amp;1&amp;-5\\\\-2&amp;-5&amp;4\\\\-3&amp;3&amp;-1\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:15:22', NULL),
(253163, '90,113,126,2342', '<p>If A and B are symmetric matrices such taht AB and BA are both defined, then show that AB - BA is a skew-symmetric matrix.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:15:58', NULL),
(253164, '90,113,126,2342', '<p>Find the adjoint of the following matrices:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 1&amp;2\\\\3&amp;-5\r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n x+1&amp;x-1\\\\x^2&amp;1-x\r\n \r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 2i&amp;-1+i\\\\-i&amp;3+i\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:18:39', NULL),
(253165, '90,113,126,2342', '<p>Find the adjoint of following matrices:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 1&amp;-1&amp;0\\\\2&amp;3&amp;-2\\\\2&amp;0&amp;1\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;2&amp;3\\\\2&amp;3&amp;2\\\\3&amp;3&amp;4\r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;-1&amp;2\\\\2&amp;3&amp;5\\\\-2&amp;0&amp;1\r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:20:58', NULL),
(253166, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 5&amp;-2\\\\3&amp;-2 \r\n\\end{bmatrix}\\)</span>, verify that A . (adj A) = (adj A). A =&nbsp;<span class=\"equation\">\\(\\begin{vmatrix}\r\nA\r\n\\end{vmatrix}\\)</span>. <span class=\"equation\">\\(I_2\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:23:38', NULL),
(253167, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1 &amp;2 \\\\\r\n3 &amp; 5\r\n\\end{bmatrix}\\)</span>&nbsp;and B = <span class=\"equation\">\\(\\begin{bmatrix}\r\n2&amp;0\\\\1&amp;5\r\n\\end{bmatrix}\\)</span>, verify that adj(AB) = (adj B) (adj A).​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:25:41', NULL),
(253168, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;-1&amp;1\\\\2&amp;3&amp;0\\\\18&amp;2&amp;10\r\n\\end{bmatrix}\\)</span>, prove that A(adj A) = 0</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:26:38', NULL),
(253169, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n-1 &amp;-2 &amp; -2\\\\\r\n2&amp; 1&amp; -2\\\\2&amp; -2&amp;1\r\n\\end{bmatrix}\\)</span>, show that:​​​​​​​</p>\r\n\r\n<p>(i) A.(adjA) =&nbsp;<span class=\"equation\">\\(\\begin{vmatrix}\r\nA\r\n\\end{vmatrix}I_3\\)</span>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; (ii) adj A = 3A&#39;</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:29:00', NULL),
(253170, '90,113,126,2342', '<p>Verify that A.(adj A) = (adj A) . A =&nbsp;<span class=\"equation\">\\(\\begin{vmatrix}\r\nA\r\n\\end{vmatrix}.I_3\\)</span>&nbsp;if​​​​​​​</p>\r\n\r\n<p>(i) A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 2&amp;1&amp;5\\\\3&amp;-2&amp;-4\\\\-3&amp;1&amp;-2\r\n\\end{bmatrix}\\)</span>&nbsp; (ii) A = <span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;-1&amp;2\\\\3&amp;0&amp;-2\\\\1&amp;0&amp;3\r\n\\end{bmatrix}\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:31:46', NULL),
(253171, '90,113,126,2342', '<p>(i) If A is a square matrix of order 3 and&nbsp;<span class=\"equation\">\\(\\begin{vmatrix}\r\nA\r\n\\end{vmatrix}\\)</span>&nbsp;= -5, find&nbsp;<span class=\"equation\">\\(\\begin{vmatrix}\r\nadj A\r\n\\end{vmatrix}\\)</span>.​​​​​​​</p>\r\n\r\n<p>(ii) If A is a square matrix of order 3 and&nbsp;<span class=\"equation\">\\(\\begin{vmatrix}\r\nA\r\n\\end{vmatrix}\\)</span>&nbsp;= -2, find <span class=\"equation\">\\(\\begin{vmatrix}\r\nadj(2A)\r\n\\end{vmatrix}\\)</span>.​​​​​​​​​​​​​​</p>\r\n\r\n<p>(iii) If A is a square matrix of order 3 and<span class=\"equation\">\\(\\begin{vmatrix}\r\nA\r\n\\end{vmatrix}\\)</span>​​​​​​​ = 5, find&nbsp;<span class=\"equation\">\\(\\begin{vmatrix}\r\nA.adjA\r\n\\end{vmatrix}\\)</span></p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:34:46', NULL),
(253172, '90,113,126,2342', '<p>If the adjoint of a matrix A is&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n 1&amp;4&amp;4\\\\2&amp;1&amp;7\\\\1&amp;1&amp;3\r\n\\end{bmatrix}\\)</span>, then find the value(s) of the determinant of A</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:36:02', NULL),
(253173, '90,113,126,2342', '<p>Find the inverse of the following matrices:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n a&amp;b\\\\c&amp;d\r\n\\end{bmatrix};ad\\neq bc  \\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2 &amp; 3 \\\\\r\n3 &amp;5 \r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;0\\\\0&amp;1 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:40:24', NULL),
(253174, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2 &amp; 3 \\\\\r\n5&amp;-2 \r\n\\end{bmatrix}\\)</span>, show that&nbsp;<span class=\"equation\">\\(A^{-1} = \\frac{1}{19}A\\)</span>.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:43:05', NULL),
(253175, '90,113,126,2342', '<p>Find the inverse of the following matrix.</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;-2&amp;3\\\\2&amp;1&amp;-1\\\\4&amp;-3&amp;2\r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;2&amp;3\\\\-3&amp;5&amp;0\\\\0&amp;1&amp;1 \r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;0&amp;0\\\\0&amp;cos\\alpha&amp;sin\\alpha&amp;\\\\0&amp;sin\\alpha&amp;-cos\\alpha \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:45:46', NULL),
(253176, '90,113,126,2342', '<p>Find the inverse of the following matrices and verify that&nbsp;<span class=\"equation\">\\(AA^{-1}=A^{-1}A = I_n\\)</span></p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;5\\\\7&amp;-11 \r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;-1&amp;1\\\\4&amp;1&amp;0\\\\8&amp;1&amp;1\r\n\\end{bmatrix}\\)</span></p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n1&amp;2&amp;5\\\\2&amp;3&amp;1\\\\-1&amp;1&amp;1 \r\n\\end{bmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:47:57', NULL),
(253177, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n3&amp;0&amp;2\\\\1&amp;5&amp;9\\\\6&amp;4&amp;7\r\n\\end{bmatrix}\\)</span>and AB = BA = I; find B.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:48:59', NULL),
(253178, '90,113,126,2342', '<p>If A =&nbsp;<span class=\"equation\">\\(\\begin{bmatrix}\r\n2&amp;0&amp;-1\\\\5&amp;1&amp;0\\\\0&amp;1&amp;3\r\n\\end{bmatrix}\\)</span>, show that <span class=\"equation\">\\(A^{-1} = A^2-6A+11I\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-09-29 06:49:55', NULL),
(253179, '86,90,224,2342', '<p>(a) All the photo electrons do not eject with the same kinetic energy when monochromatic light is incident on a metal surface.</p>\r\n\r\n<p>(b) The saturation current in case (a) is different for different intensity.</p>\r\n\r\n<p>(c) If one goes on increasing the wavelength of light incident on a metal surface, keeping its intensity constant, emission of photo electrons stops at a certain wavelength for this metal.&nbsp;</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-29 16:00:37', NULL),
(253180, '86,90,224,2342', '<p>&nbsp;Consider a neutron (mass m) of kinetic energy E and a photon of the same energy. Let &lambda;n and &lambda;p be the de Broglie wavelength of neutron and the wavelength of photon respectively. Obtain an expression for &lambda;n/&lambda;p.&nbsp;</p>', 'Medium', 'textarea', NULL, 2, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-29 16:01:21', NULL),
(253181, '86,90,224,2342', '<p>(a) The graph shows the variation of stopping potential with frequency of incident radiation for two photosensitive metals A and B. Which one of the two has higher value of work function? Justify your answer.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759162117.jpg\" style=\"height:130px; width:164px\" />​​​​​​​</p>\r\n\r\n<p>(b)&nbsp;For the same graph of stopping potential vs frequency for metals A and B, which metal will emit photoelectrons when exposed to a light source of frequency &nu;\\nu&nu;, lying between the threshold frequencies of A and B? Explain your reasoning.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-09-29 16:07:21', NULL),
(253182, '86,90,224,2342', '<p>The graph provided shows the variation of photoelectric current (I) with applied potential difference (V) for two photosensitive materials under illumination with radiations of the same frequency but different intensities.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759162415.jpg\" style=\"height:120px; width:128px\" />​​​​​​​</p>\r\n\r\n<p>(a) From the graph, identify which pair of curves represents <em>different materials exposed to the same radiation</em>.</p>\r\n\r\n<p>(b) From the same graph, determine which pair corresponds to <em>different materials but illuminated with the same intensity of incident light</em>.<br />\r\nJustify your answers based on the characteristics of the graph.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-29 16:13:48', NULL),
(253183, '86,90,224,2342', '<p>If the frequency of the incident radiation is gradually increased while keeping the intensity constant, predict and explain how the stopping potential and saturation current would change for the same materials.</p>', 'Medium', 'textarea', NULL, 2, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-29 16:14:36', NULL),
(253184, '86,90,224,2342', '<p>If the incident light intensity is doubled while keeping the frequency constant, sketch/describe how the Photo electric current vs Anode potential graph will change for the same material.</p>', 'Medium', 'textarea', NULL, 2, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-29 16:22:40', NULL),
(253185, '86,90,224,2342', '<p>In a photoelectric experiment, photons of energy 5 eV strike a cathode C&prime; and cause emission of photoelectrons. The maximum kinetic energy of these photoelectrons is 2 eV. Now, photons of energy 6 eV are incident on the same cathode C&prime;. Determine the stopping potential Vs that must be applied to the anode A relative to C&prime; so that no photoelectron reaches the anode.</p>', 'Medium', 'textarea', '<p>-3 V</p>', 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-29 16:27:20', NULL),
(253186, '86,90,224,2342', '<p>In a photoelectric experiment, photons of energy 5 eV strike a cathode C&prime; and cause emission of photoelectrons. The maximum kinetic energy of these photoelectrons is 2 eV. Now, photons of energy 6 eV are incident on the same cathode C&prime;. Determine the stopping potential Vs that must be applied to the anode A relative to C&prime; so that no photoelectron reaches the anode.</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-29 16:28:46', NULL),
(253187, '86,78,112,189', '<p>Which of the following is true about G?</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 03:42:40', NULL),
(253188, '86,78,112,189', '<p>Gravitational force between two bodies becomes four times if:</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-09-30 03:43:35', NULL),
(253189, '86,78,112,189', '<p>Two masses 100 Kg and 100 Kg are kept at a distance 10 m. The gravitational force between them is:</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 03:46:12', NULL),
(253190, '86,78,112,189', '<p><strong>Assertion (A):</strong> Gravitational force is always attractive.<br />\r\n<strong>Reason (R):</strong> It depends on the product of masses and inverse square of distance.</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 03:48:32', NULL),
(253191, '86,78,112,189', '<p>At a height h&nbsp;above the Earth&rsquo;s surface (where h≪R), the value of g is approximately:</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-09-30 03:53:20', NULL),
(253192, '86,78,112,189', '<p><strong>Assertion (A):</strong> At the center of Earth, g=0.<br />\r\n<strong>Reason (R):</strong> At the center, the mass of Earth attracting the body is zero.</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 03:56:06', NULL),
(253193, '86,78,112,189', '<p>If the value of ggg decreases by 0.5% at a height hhh above Earth&rsquo;s surface, then hhh is approximately:</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 03:58:03', NULL),
(253194, '86,78,112,189', '<p>The value of acceleration due to gravity is maximum at the poles and minimum at the equator. Which of the following reasons correctly explains this variation?</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 04:00:24', NULL),
(253195, '86,185,239', '<p>A particle describes a horizontal circle on the smooth inner surface of a conical funnel as shown in figure. If the height of the plane of the circle above the vertex is 9.8&nbsp;cm. then speed of the particle is given as Z/100. The value of Z is_____.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759245353.jpg\" style=\"height:150px; width:165px\" /></p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:20:20', NULL),
(253196, '86,80,147,239,299', '<p>An object of mass &#39; m &#39; moving with velocity &#39; V &#39; collides with another stationary object of mass &#39; M &#39; and stops just after the collision. The coefficient of restitution is</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:37:11', NULL),
(253197, '86,80,147,239,299', '<p>There is head-on elastic collision between the two particles moving in the same direction with speeds&nbsp; 5 m/s and 3 m/s respectively. After collision, the velocity of the first particle becomes 4 m/s&nbsp; in the same direction. The velocity of the second particle should be</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:40:40', NULL),
(253198, '86,80,147,239,299', '<p>A moving body with mass &#39; X &#39; strikes a stationary mass &#39; Y &#39;. What should be the ratio X/Y so as to decrease the velocity of first by (1.5) times the velocity after the collision?</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:42:53', NULL),
(253199, '86,80,147,239,299', '<p>A particle of mass &#39;m&#39; moving east ward with a speed &#39;v&#39; collides with another particle of same mass moving north-ward with same speed &#39;v&#39;. The two particles coalesce after collision. The new particle of mass &#39; 2m&#39; will move in north east direction with a speed (in&nbsp;&nbsp;)</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:46:33', NULL),
(253200, '86,80,147,239,299', '<p>Consider the following statements&nbsp;&nbsp;and&nbsp;. Identify the correct choice in the given answers.</p>\r\n\r\n<p>A. In an inelastic collision, there is no loss in kinetic energy during collision.</p>\r\n\r\n<p>B. During a collision, the linear momentum of the entire system of particles is conserved if there is no external force acting on the system.</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:48:27', NULL),
(253201, '86,80,147,239,299', '<p>A body falls on a surface of coefficient of restitution 0.6 from a height of one metre. Then the body rebounds to a height of</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:50:09', NULL),
(253202, '86,80,147,239,299', '<p>A wooden black of mass &#39;m&#39; moves with velocity &#39;v&#39; and collides with another block of mass &#39; 4m&#39;, which is at rest. After collision the block of mass &#39;m&#39; comes to rest. The coefficient of restitution will be</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:51:46', NULL),
(253203, '86,80,147,239,299', '<p>Force is applied to a body of mass 2 Kg&nbsp; at rest on a frictionless horizontal surface as shown in the force against time (F-t) graph. The speed of the body after 1 second is</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759247726.jpg\" style=\"height:130px; width:186px\" />​​​​​​​</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:57:04', NULL),
(253204, '86,80,147,187,239,299', '<p>A molecule of mass &#39;m&#39; moving with velocity &#39;v&#39; makes 5 elastic collisions with a wall of container per second. The change in momentum of the wall per second in 5 collisions will be</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-09-30 15:58:20', NULL),
(253207, '86,205,239', '<p>A particle of mass m, moving along a straight line, experiences a force F which varies with the distance travelled as shown in the figure. If the velocity of the particle at&nbsp;<span class=\"equation\">\\(x_0\\)</span>&nbsp;is&nbsp;<span class=\"equation\">\\(\\sqrt{{2F_0}x_0 \\over m}\\)</span>,&nbsp;then, velocity at&nbsp;<span class=\"equation\">\\(4x_0\\)</span>&nbsp;is,</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759277157.jpg\" style=\"height:100px; width:103px\" />​​​​​​​</p>', 'Medium', 'radio', NULL, 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-10-01 00:06:11', '2025-10-01 05:43:58'),
(253209, '85,80,201,239,1742', '<p>&nbsp;A gas absorbs 500 J of heat and does 200 J of work. Change in internal energy of the system = _ J.</p>', 'Medium', 'textarea', '<p>300 kj</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 06:17:34', NULL),
(253210, '85,80,201,239,1742', '<p>At 300 K, 1 mol of an ideal gas expands reversibly and isothermally from volume 10 L to 20 L. Calculate the change in entropy (in J mol⁻&sup1; K⁻&sup1;).</p>', 'Medium', 'textarea', '<p>6 joule per mole per kelvin</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 06:18:08', NULL),
(253211, '85,80,201,239,1742', '<p>Calculate entropy change (in J mol⁻&sup1; K⁻&sup1;) when 1 mol of ice melts reversibly at 0&deg;C. (Latent heat of fusion = 6000 J mol⁻&sup1;).</p>', 'Medium', 'textarea', '<p>22 joule per mole per kelvin</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 06:21:41', NULL),
(253212, '85,80,201,239,1742', '<p>1 mole of ideal gas at 400 K is allowed to expand reversibly and isothermally to twice its volume. Find &Delta;S (in J mol⁻&sup1; K⁻&sup1;). (R = 8.314 J mol⁻&sup1; K⁻&sup1;).</p>', 'Medium', 'textarea', '<p>6 joule per mole per kelvin</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 06:22:02', NULL),
(253213, '85,80,201,239,1742', '<p>The entropy change of 1 mole of an ideal gas when it is heated reversibly from 400 K to 800 K at constant volume. (Cv = 20 J mol⁻&sup1; K⁻&sup1;)</p>', 'Medium', 'textarea', '<p>&nbsp;14 joule per mole per kelvin</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 06:22:34', NULL),
(253214, '86,80,90,239,240,1742', '<p>&nbsp;</p>\r\n\r\n<p>A physical quantity C is related to four other quantities&nbsp; p, q, r and s as follows C =&nbsp;<span class=\"equation\">\\(\\frac{pq^2}{r^3\\sqrt{s}}\\)</span>&nbsp;</p>\r\n\r\n<p>The percentage errors in the measurement of p, q, r and s are 1%, 2%, 3% and 2% respectively.&nbsp;The percentage error in the measurement of C will be_______%</p>', 'Medium', 'textarea', '<p>15</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 07:52:24', NULL);
INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(253215, '86,80,90,239,240,1742', '<p>A physical quantity Q is related to four observables a, b, c, d as follows:</p>\r\n\r\n<p>&nbsp;<span class=\"equation\">\\(Q = \\frac{ab^4}{cd}\\)</span></p>\r\n\r\n<p>where, a = (60&nbsp;<span class=\"equation\">\\(\\pm \\)</span>&nbsp;3) Pa; b = (20&nbsp;<span class=\"equation\">\\(\\pm \\)</span>&nbsp;0.1) m;c = (40&nbsp;<span class=\"equation\">\\(\\pm \\)</span>0.2)&nbsp;<span class=\"equation\">\\(Nsm^{-2}\\)</span>&nbsp;and d = (50<span class=\"equation\">\\(\\pm \\)</span>0.1)m, then the percentage error in Q is&nbsp;<span class=\"equation\">\\(\\frac{x}{1000}\\)</span>​​​​​​​, where x = ________​​​​​​​</p>', 'Medium', 'textarea', '<p>7700</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doupdate', '2025-10-01 07:57:42', NULL),
(253216, '86,80,90,239,240,1742', '<p>A tiny metallic rectangular sheet has length and breadth of 5 mm and 2.5 mm , respectively. Using a specially designed screw gauge which has pitch of 0.75 mm and 15 divisions in the circular scale, you are asked to find the area of the sheet. In this measurement, the maximum fractional error will be&nbsp;<span class=\"equation\">\\(\\frac{x} {100}\\)</span>&nbsp;where x is ______​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 07:59:27', NULL),
(253217, '86,80,90,239,240,1742', '<p>The least count of a screw guage is 0.01 mm . If the pitch is increased by 75% and number of divisions on the circular scale is reduced by 50%, the new least count will be______x&nbsp;<span class=\"equation\">\\(10^{-3} mm\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:00:38', NULL),
(253218, '86,80,90,239,240,1742', '<p>In a screw gauge, there are 100 divisions on the circular scale and the main scale moves by 0.5mm&nbsp; on a complete rotation of the circular scale. The zero of circular scale lies 6 divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, 4 linear scale divisions are clearly visible while 46th&nbsp;&nbsp;division the circular scale coincide with the reference line. The diameter of the wire is_______x&nbsp;<span class=\"equation\">\\(10^{-2}\\)</span>​​​​​​​mm.</p>', 'Medium', 'textarea', '<p>220</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:03:23', NULL),
(253219, '86,80,90,239,240,1742', '<p>In an experiment to find acceleration due to gravity (g) using simple pendulum, time period of 0.5s&nbsp; is measured from time of 100 oscillation with a watch of 1s&nbsp; &nbsp;resolution. If measured value of length is 10cn&nbsp; known to&nbsp; 1mm accuracy, The accuracy in the determination of g is found to be x%. The value of x is_____</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:04:45', NULL),
(253220, '86,80,90,239,240,1742', '<p>The one division of main scale of Vernier callipers reads&nbsp; 1mm and 10 divisions of Vernier scale is equal to the 9 divisions on main scale. When the two jaws of the instrument touch each other, the zero of the Vernier lies to the right of zero of the main scale and its fourth division coincides with a main scale division. When a spherical bob is tightly placed between the two jaws, the zero of the Vernier scale lies in between&nbsp; 4.1cm and 4.2cm&nbsp; and 6th&nbsp;&nbsp;Vernier division coincides scale division. The diameter of the bob will be__________x&nbsp;<span class=\"equation\">\\(10^{-2}\\)</span>&nbsp;cm.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:06:06', NULL),
(253221, '86,80,90,239,240,1742', '<p>The Vernier constant of Vernier callipers is 0.1 mm and it has zero error of (0.05) cm. While measuring diameter of a sphere, the main scale reading is 1.7 cm and coinciding vernier division is 5. The corrected diameter will be_________x&nbsp;<span class=\"equation\">\\(10^{-2} cm\\)</span>.​​​​​​​</p>', 'Medium', 'textarea', '<p>180</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:07:49', NULL),
(253222, '86,80,90,239,240,1742', '<p>A student in the laboratory measures thickness of a wire using screw gauge. The readings are 1.22 mm, 1.23 mm, 1.19 mm and 1.20 mm. The percentage error is&nbsp;<span class=\"equation\">\\(\\frac{x}{121}\\)</span>%. The value of x is________</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:09:51', NULL),
(253223, '86,80,90,239,240,1742', '<p>A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is________x&nbsp;<span class=\"equation\">\\(10^{-6}\\)</span>​​​​​​​m.</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:10:50', NULL),
(253224, '86,80,90,239,240,1742', '<p>In a vernier callipers, each cm on the main scale is divided into 20 equal parts. If tenth vernier scale division coincides with nineth main scale division. Then the value of vernier constant will be _________&nbsp; x&nbsp;<span class=\"equation\">\\(10^{-2}\\)</span>​​​​​​​mm.</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:11:41', NULL),
(253225, '86,80,90,239,240,1742', '<p>For z =&nbsp;<span class=\"equation\">\\(a^2x^3y^\\frac{1}{2}\\)</span>, where &#39;a&#39; is a constant. If&nbsp;percentage error in measurement of &#39;x&#39; and &#39;y&#39; are 4% and 12% respectively, then the percentage error for &#39;z&#39; will be_____%</p>', 'Medium', 'textarea', '<p>18%</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:14:46', NULL),
(253226, '86,80,90,185,239,1742', '<p>A particle of charge 1.6 <span class=\"equation\">\\(\\mu\\)</span>C&nbsp;and mass 16<span class=\"equation\">\\(\\mu\\)</span>g&nbsp; &nbsp;is present in a strong magnetic field of 6.28 T . The particle is then fired perpendicular to magnetic field. The time required for the particle to return to original location for the first time is _________ s. (<span class=\"equation\">\\(\\pi\\)</span>&nbsp;= 3.14)</p>', 'Medium', 'textarea', '<p>0</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:22:39', NULL),
(253227, '86,80,90,185,239,1742', '<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759307033.png\" style=\"height:120px; width:93px\" /></p>\r\n\r\n<p>A string of length L is fixed at one end and carries a mass of M at the other end. The mass makes<span class=\"equation\">\\(\\begin{pmatrix}\r\n\\frac{3}{\\pi}\r\n\\end{pmatrix}\\)</span>&nbsp;​​​​​​​rotations per second about the vertical axis passing through end of the string as shown. The tension in the string is __________ ML.</p>', 'Medium', 'textarea', '<p>36</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:26:14', NULL),
(253228, '86,80,90,185,239,1742', '<p>A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then angular velocity of the tube is&nbsp;<span class=\"equation\">\\(\\sqrt{\\frac{F}{\\alpha{M}}}\\)</span>&nbsp;in SI unit. The value of&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>​​​​​​​ is_____</p>', 'Medium', 'textarea', '<p>1</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:30:33', NULL),
(253229, '86,80,90,185,239,1742', '<p>A particle is moving in a circle of radius 50cm&nbsp; in such a way that at any instant the normal and tangential components of it&#39;s acceleration are equal. If its speed at t = 0 is 4 m/s, the time taken to complete the first revolution will be&nbsp;<span class=\"equation\">\\(\\frac{1}{\\alpha}\\)</span><span class=\"equation\">\\(\\begin{bmatrix}\r\n1-e^{-2\\pi}\r\n\\end{bmatrix}\\)</span>s, where <span class=\"equation\">\\(\\alpha\\)</span>​​​​​​​ = _____​​​​​​​</p>', 'Medium', 'textarea', '<p>8</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:34:06', NULL),
(253230, '86,80,90,185,239,1742', '<p>A stone tied to&nbsp; 180cm long string at its end is making 28 revolutions in&nbsp;horizontal circle in every minute. The magnitude of acceleration of stone is&nbsp;<span class=\"equation\">\\(\\frac{1936}{x} ms^{-2}\\)</span>&nbsp;. The value of x _________.<span class=\"equation\">\\(\\begin{pmatrix}\r\n\\pi = \\frac{22}{7}\r\n\\end{pmatrix}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>125</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:37:07', NULL),
(253231, '86,80,90,185,239,1742', '<p>A car is moving on a circular path of radius 600 m such that the magnitudes of the tangential acceleration and centripetal acceleration are equal. The time taken by the car to complete first quarter of revolution, if it is moving with an&nbsp;initial speed of 54 km/hr is (1 -&nbsp;<span class=\"equation\">\\(e^{-pi/2}\\)</span>s. The value of t is______​​​​​​​</p>', 'Medium', 'textarea', '<p>40</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:39:34', NULL),
(253232, '86,80,90,185,239,1742', '<p>A person starts his journey from centre &#39;O&#39; of the park and comes back to the same position following path OPQO as shown in the figure. The radius of path taken by the person is 200 m and he takes 3 min 58 sec to complete his journey. The average speed of the person is_____<span class=\"equation\">\\(ms^{-2}. (take \\pi = 3.14)\\)</span></p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759308075.png\" style=\"height:120px; width:115px\" />​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>3</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:41:29', NULL),
(253233, '86,80,90,185,239,1742', '<p>A pendulum of length 2 m consists of a wooden bob of mass 50 g. A bullet of mass 75 g is fired towards the stationary bob with a speed v. The bullet emerges out of the bob with a speed&nbsp;<span class=\"equation\">\\(\\frac{\\upsilon}{3}\\)</span>&nbsp;and the bob just completes the vertical circle. The value of v is ___________&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>. (if g = 10<span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>10</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:43:10', NULL),
(253234, '86,80,90,185,239,1742', '<p>A curved in a level road has a radius 75 m. The maximum speed of a car turning this curved road can be 30 m/s without skidding. If radius of curved road is changed to 48 m and the coefficient of friction between the tyres and the road remains same, then maximum allowed speed would be ___________ m/s.</p>', 'Medium', 'textarea', '<p>24</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:47:09', NULL),
(253235, '86,80,90,185,239,1742', '<p>A small bob tied at one end of a thin string of length 1 m is describing a vertical circle so that the maximum and minimum tension in the string are in the ratio 5 : 1. The velocity of the bob at the highest position is ________ m/s. (Take g = 10 <span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​)</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:48:10', NULL),
(253236, '86,80,90,91,239,1742', '<p>A person travelling on a straight line moves with a uniform velocity&nbsp;<span class=\"equation\">\\(v _1\\)</span>&nbsp;for a distance x and with a uniform velocity&nbsp;<span class=\"equation\">\\(v_2\\)</span>&nbsp;for the next&nbsp;<span class=\"equation\">\\(\\frac{3}{2}\\)</span>x distance. The average velocity in this motion is&nbsp;<span class=\"equation\">\\(\\frac{50}{7}\\)</span>m/s. If&nbsp;<span class=\"equation\">\\(v^1\\)</span>&nbsp;is 5 m/s then&nbsp;<span class=\"equation\">\\(v_2\\)</span>&nbsp;= ________m/s​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:51:56', NULL),
(253237, '86,80,90,91,239,1742', '<p>Two cars P and Q are moving on a road in the same direction. Acceleration of car P increases linearly with time whereas car Q moves with a constant acceleration. Both cars cross each other at time t = 0, for the first time. The maximum possible number of crossing(s) (including the crossing at t = 0) is ________.</p>', 'Medium', 'textarea', '<p>3</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:52:15', NULL),
(253238, '86,80,90,91,239,1742', '<p>A particle moves in a straight line so that its displacement&nbsp; x at any time&nbsp; t is given by&nbsp;&nbsp;<span class=\"equation\">\\(x^2 = 1 + t^2\\)</span>. Its acceleration at any time t is&nbsp;<span class=\"equation\">\\(x^{-n}\\)</span>​​​​​​​ where n = _____</p>', 'Medium', 'textarea', '<p>3</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:53:16', NULL),
(253239, '86,80,90,91,239,1742', '<p>A body moves on a frictionless plane starting from rest. If&nbsp;<span class=\"equation\">\\(S_n\\)</span>&nbsp;is distance moved between t = n - 1 and t = n and&nbsp;<span class=\"equation\">\\(S_{n-1}\\)</span>&nbsp;is distance moved between t = n - 2 and t = n - 1, then the ratio&nbsp;<span class=\"equation\">\\(\\frac{S_{n-1}}{S_{n}}\\)</span>&nbsp;is (1 -&nbsp;<span class=\"equation\">\\(\\frac{2}{x}\\)</span>​​​​​​​) for n = 10. The value of x is_____</p>', 'Medium', 'textarea', '<p>19</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:56:28', NULL),
(253240, '86,80,90,91,239,1742', '<p>A bus moving along a straight highway with speed of 72 km/h&nbsp; is brought to halt within 4s after applying the brakes. The distance travelled by the bus during this time (Assume the retardation is uniform) is ________ m.</p>', 'Medium', 'textarea', '<p>40</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:57:02', NULL),
(253241, '86,80,90,91,239,1742', '<p>A particle initially at rest starts moving from reference point x = 0 along x-axis, with velocity v that varies as v = 4<span class=\"equation\">\\(\\sqrt{x}\\)</span>&nbsp;m/s. The acceleration of the particle is __________&nbsp;&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>8</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 08:58:55', NULL),
(253242, '86,80,90,91,239,1742', '<p>A particle is moving in one dimension (along x axis) under the action of a variable force. It&#39;s initial position was 16m&nbsp; right of origin. The variation of its position (x) with time (t)&nbsp; is given as x =&nbsp;<span class=\"equation\">\\(-3t^3+18t^2+16t\\)</span>, where x is in m and t is in s.</p>\r\n\r\n<p>The velocity of the particle when its acceleration becomes zero is _________m/s</p>', 'Medium', 'textarea', '<p>52</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 09:00:32', NULL),
(253243, '86,80,90,91,239,1742', '<p>The displacement and the increase in the velocity of a moving particle in the time interval of t to (t + 1)s are 125m and 50 m/s respectively. The distance travelled by the particle in&nbsp;<span class=\"equation\">\\((t+2)^{th}\\)</span>​​​​​​​S is _________m.</p>', 'Medium', 'textarea', '<p>175</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 09:01:58', NULL),
(253244, '86,80,90,91,239,1742', '<p>A body falling under gravity covers two points A and B separated by 80m in 2s. The distance of upper point A from the starting point is_____m (use g = 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>45</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 09:03:04', NULL),
(253245, '86,80,90,91,239,1742', '<p>For a train engine moving with speed of 20&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>, the driver must apply brakes&nbsp;at a distance of 500 m before the station for the train to come to rest at the station. If the brakes were applied at half of this distance, the train engine would cross the station with speed&nbsp;<span class=\"equation\">\\(\\sqrt{x} \\)</span>&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>​. The value of x is____.</p>\r\n\r\n<p>​​​​​​(Assuming same retardation is produced by brakes)</p>', 'Medium', 'textarea', '<p>200</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 09:05:51', NULL),
(253246, '86,80,90,91,239,1742', '<p>A horse rider covers half the distance with&nbsp; 5m/s speed. The remaining part of the distance was travelled with speed 10 m/s&nbsp; &nbsp;for half the time and with speed 15 m/s&nbsp; for other half of the time. The mean speed of the rider averaged over the whole time of motion is&nbsp;<span class=\"equation\">\\(\\frac{x}{7}\\)</span>&nbsp;m/s. The value of x is __</p>', 'Medium', 'textarea', '<p>50</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 09:07:21', NULL),
(253247, '86,80,90,91,239,1742', '<p>A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height 5.0 m. Ball comes in contact with the floor for 0.2s. The average acceleration during contact is __________&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>.&nbsp;</p>\r\n\r\n<p>(Given g = 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>120</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-01 09:08:24', NULL),
(253248, '86,80,90,192,239,1742', '<p>The maximum speed of a boat in still water is 27 km/h. Now this boat is moving downstream in a river flowing at 9 km/h. A man in the boat throws a ball vertically upwards with speed of 10 m/s. Range of the ball as observed by an observer at rest on the bank is_________cm. (Take g = 10&nbsp;<span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>2000</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:39:46', NULL),
(253249, '86,80,90,192,239,1742', '<p>A particle is projected at an angle of&nbsp;&nbsp;<span class=\"equation\">\\(30^0\\)</span>from horizontal at a speed of 60 m/s . The height traversed by the particle in the first second is&nbsp;<span class=\"equation\">\\(h_0\\)</span>&nbsp;and heignttraveresed in the last second, before it reaches the maximum height, is&nbsp;<span class=\"equation\">\\(h_1\\)</span>. The ratio&nbsp;<span class=\"equation\">\\(h_0:h_1\\)</span>&nbsp;is_____​​​​​​​</p>\r\n\r\n<p>[Take, g = 10&nbsp;<span class=\"equation\">\\(m/s^2\\)</span>]​​​​​​​</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:42:10', NULL),
(253250, '86,80,90,192,239,1742', '<p>A body of mass M thrown horizontally with velocity v from the top of the tower of height H touches the ground at a distance of 100m&nbsp; from the foot of the tower. A body of mass 2M&nbsp; thrown at a velocity&nbsp;<span class=\"equation\">\\(\\frac{v}{2}\\)</span>​​​​​​​&nbsp;from the top of the tower of height 4H will touch the ground at a distance of______m</p>', 'Medium', 'textarea', '<p>100</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:43:23', NULL),
(253251, '86,80,90,192,239,1742', '<p>The maximum height reached by a projectile is 64m. If the initial velocity is halved, the new maximum height of the projectile is ______ m</p>', 'Medium', 'textarea', '<p>16</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:43:49', NULL),
(253252, '86,80,90,192,239,1742', '<p>A ball rolls off the top of a stairway with horizontal velocity u. The steps are 0.1m high and 0.1m wide. The minimum velocity u with which that ball just hits the step 5 of the stairway will be<span class=\"equation\">\\(\\sqrt{x}ms^{-1}\\)</span>&nbsp;where x = ________[use g = 10 <span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​]​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:45:47', NULL),
(253253, '86,80,90,192,239,1742', '<p>A projectile fired at&nbsp;<span class=\"equation\">\\(30^0\\)</span>&nbsp;to the ground is observed to be at same height at time 3s&nbsp; and 5s&nbsp; after projection, during its flight. The speed of&nbsp;projection of the projectile is_____<span class=\"equation\">\\(ms^{-1}\\)</span></p>\r\n\r\n<p>(Given g = 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>80</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:48:21', NULL),
(253254, '86,80,90,192,239,1742', '<p>Two bodies are projected from ground with same speeds&nbsp; 40&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of <span class=\"equation\">\\(60^0\\)</span>, with horizontal then sum of the maximum heights, attained by the two&nbsp;projectiles, is m. (Given g = 10<span class=\"equation\">\\(ms^{-2}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>80</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:49:31', NULL),
(253255, '86,80,90,192,239,1742', '<p>The speed of a swimmer is 4 km&nbsp;<span class=\"equation\">\\(h^{-2}\\)</span>&nbsp;in still water. If the swimmer makes his strokes normal to the flow of river of width 1 km , he reaches a point 750m&nbsp; &nbsp;down the stream on the opposite bank.​​​​​​​ The speed of the river water is ___________ km&nbsp;<span class=\"equation\">\\(h^{-1}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:51:19', NULL),
(253256, '86,80,90,192,239,1742', '<p>An object is projected in the air with initial velocity u at an angle&nbsp;<span class=\"equation\">\\(\\theta\\)</span>​​​​​​​. The projectile motion is such that the horizontal range R, is maximum. Another object is projected in the air with a horizontal range half of the range of first object. The initial velocity remains same in both the case. The value of the angle of projection, at which the second object is projected, will be _________ degree.</p>', 'Medium', 'textarea', '<p>15 or 75</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:52:00', NULL),
(253257, '86,80,90,192,239,1742', '<p>A ball of mass m is thrown vertically upward. Another ball of mass 2m&nbsp; is thrown at an angle&nbsp;<span class=\"equation\">\\(\\theta\\)</span>&nbsp;with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is&nbsp;<span class=\"equation\">\\(\\frac{1}{x}\\)</span>. The value of x is____​​​​​​​</p>', 'Medium', 'textarea', '<p>1</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:52:57', NULL),
(253258, '86,80,90,192,239,1742', '<p>A fighter jet is flying horizontally at a certain altitude with a speed of 200&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>.&nbsp;When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle&nbsp;<span class=\"equation\">\\(\\theta\\)</span>&nbsp;with the horizontal, to hit the jet. If the bullet speed is 400 m/s, the value of&nbsp;<span class=\"equation\">\\(\\theta\\)</span>&nbsp;will be ___________<span class=\"equation\">\\(^0\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>60</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:54:17', NULL),
(253259, '86,80,90,192,239,1742', '<p>A body is projected from the ground at an angle of <span class=\"equation\">\\(45^0\\)</span>with the horizontal. Its velocity after 2s is 20 <span class=\"equation\">\\(ms^1\\)</span>. The maximum height reached by the body during its motion is __________ m. (use g = 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>20</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:55:15', NULL),
(253260, '86,80,90,192,239,1742', '<p>A swimmer wants to cross a river from point A to point B. Line AB makes an angle of&nbsp;<span class=\"equation\">\\(30^0\\)</span> with the flow of river. Magnitude of velocity of the swimmer is same as that of the river. The angle&nbsp;<span class=\"equation\">\\(\\theta\\)</span>&nbsp;with the line AB should be _________<span class=\"equation\">\\(^0\\)</span>, so that the swimmer reaches point B.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759470981.png\" style=\"height:120px; width:174px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>30</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:56:38', NULL),
(253261, '86,80,90,192,239,1742', '<p>A person is swimming with a speed of 10 m/s at an angle of&nbsp;<span class=\"equation\">\\(120^0\\)</span>&nbsp;with the flow and reaches to a point directly opposite on the other side of the river. The speed of the flow is &#39;x&#39; m/s. The value of &#39;x&#39; to the nearest integer is __________.​​​​​​​</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:57:09', NULL),
(253262, '86,80,90,192,239,1742', '<p>A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a river has velocity 6 km/h. The direction with respect to the direction of flow of river water he should swim in order to reach the point on the other bank just opposite to his starting point is ____________<span class=\"equation\">\\(^0\\)</span>​​​​​​​. (Round off to the Nearest Integer) (Find the angle in&nbsp;degrees)</p>', 'Medium', 'textarea', '<p>120</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:57:59', NULL),
(253263, '86,80,90,192,239,1742', '<p>A particle is moving along the x-axis with its coordinate with the time &#39;t&#39; given be&nbsp;<span class=\"equation\">\\(x(t) = 10 + 8t – 3t^2.\\)</span>&nbsp;Another particle is moving the y-axis with its coordinate as a function of time given by y(t) = 5 &ndash; 8<span class=\"equation\">\\(t^3\\)</span>. At t = 1s, the speed of the second particle as measured in the frame of the first particle is given as&nbsp;<span class=\"equation\">\\(\\sqrt{v}\\)</span>​​​​​​​. Then v (in m/s) is_____</p>', 'Medium', 'textarea', '<p>580</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 05:59:26', NULL),
(253264, '86,80,90,195,239,1742', '<p>Three blocks&nbsp;<span class=\"equation\">\\(M_1, M_2, M_3\\)</span>&nbsp;having masses 4 kg, 6 kg and 10 kg&nbsp;respectively are hanging from a smooth pully using rope 1, 2 and 3 as shown in figure. The tension in the rope 1,&nbsp;<span class=\"equation\">\\(T_1\\)</span>&nbsp;when they are moving upward with acceleration of 2&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>&nbsp;is_____N (if g = 10<span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​).</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759471388.png\" style=\"height:340px; width:204px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>240</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:03:28', NULL),
(253265, '86,80,90,195,239,1742', '<p>Two inclined planes are placed as shown in figure. A block is projected from the Point A of inclined plane AB along its surface with a velocity just sufficient to carry it to the top Point B at a height 10 m. After reaching the Point B the block slides down on inclined plane BC. Time it takes to reach to the point C from point A is t&nbsp;<span class=\"equation\">\\((\\sqrt{2}+1)\\)</span>s. The value of t is____.&nbsp; &nbsp;(use g = 10&nbsp;<span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​</p>\r\n\r\n<p>&nbsp;<img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759497824.jpg\" style=\"height:120px; width:298px\" />​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-10-03 06:28:06', NULL),
(253266, '86,80,90,195,239,1742', '<p>Four forces are acting at a point P in equilibrium as shown in figure. The ratio of force&nbsp;<span class=\"equation\">\\(F_1 to F_2\\)</span>&nbsp;is 1 : x where x = _______</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759497201.jpg\" style=\"height:140px; width:143px\" />​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-10-03 06:29:27', NULL),
(253267, '86,80,90,195,239,1742', '<p>A hanging mass M is connected to a four times bigger mass by using a string-pulley arrangement, as shown in the figure. The bigger mass is placed on a horizontal ice-slab and being pulled by 2 Mg force. In this situation, tension in the string is&nbsp;<span class=\"equation\">\\(\\frac{x}{5}\\)</span>Mg for x = ________. Neglect mass of the string and friction of the block (bigger mass) with ice slab. (Given g =&nbsp;acceleration due to gravity)</p>\r\n\r\n<p>​​​​​​​<img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759497058.jpg\" style=\"height:120px; width:259px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>6</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-10-03 06:31:42', NULL),
(253268, '86,80,90,195,239,1742', '<p>A mass of 10 kg is suspended vertically by a rope of length 5 m from the roof. A force of 30 N is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is&nbsp;<span class=\"equation\">\\(\\theta = tan^{-1}\\)</span>&nbsp;(x X&nbsp;<span class=\"equation\">\\(10^{-1}\\)</span>. The value of x is_____</p>\r\n\r\n<p>(Given g = 10<span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:35:04', NULL),
(253269, '86,80,90,195,239,1742', '<p>A system to 10 balls each of mass 2 kg are connected via massless and unstretchable string. The system is allowed to slip over the edge of a smooth table as shown in figure. Tension on the string between the 7th&nbsp;and 8th&nbsp;ball is __________ N when 6th&nbsp;ball just leaves the table.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759496672.jpg\" style=\"height:100px; width:152px\" />​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>36</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-10-03 06:36:02', NULL),
(253270, '86,80,90,195,239,1742', '<p>A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F =&nbsp;<span class=\"equation\">\\(\\sqrt{x}N\\)</span>&nbsp;as shown in figure.&nbsp;The value of x =_______</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759495941.jpg\" style=\"height:130px; width:144px\" />​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 1, 1, 'https://school.achievam.com/panel/question/doupdate', '2025-10-03 06:37:16', NULL),
(253271, '86,80,90,195,239,1742', '<p>When a body slides down from rest along a smooth inclined plane making an angle of <span class=\"equation\">\\(30^0\\)</span>&nbsp;with the horizontal, it takes time T. When the same body slides down from the rest along a rough inclined plane making the same angle and through the same distance, it takes time&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>T, where&nbsp;&nbsp;is a constant greater than 1. The co-efficient of friction between the body and the rough plane is&nbsp;<span class=\"equation\">\\(\\frac{1}{\\sqrt{x}}\\)</span>&nbsp;<span class=\"equation\">\\(\\begin{pmatrix}\r\n\\frac{\\alpha^2-1}{\\alpha}\r\n\\end{pmatrix}\\)</span>&nbsp;where x = ______​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:42:21', NULL),
(253272, '86,80,90,195,239,1742', '<p>A car is moving on a plane inclined at&nbsp;<span class=\"equation\">\\(30^0\\)</span> to the horizontal with an acceleration of 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>&nbsp;&nbsp;parallel to the plane upward. A bob is suspended by a string from the roof of the car. The angle in degrees which the string makes&nbsp;with the vertical is_______(Take g = 10<span class=\"equation\">\\(ms^{-2}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>30</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:43:49', NULL),
(253273, '86,80,90,195,239,1742', '<p>The coefficient of static friction between two blocks is 0.5 and the table is smooth. The maximum horizontal force that can be applied to move the blocks together is.........N. (take g = 10<span class=\"equation\">\\(ms^{-2}\\)</span>)​​​​​​​</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759473899.png\" style=\"height:91px; width:318px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>15</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:45:11', NULL),
(253274, '86,80,90,195,239,1742', '<p>A body of mass &#39;m&#39; is launched up on a rough inclined plane making an angle of&nbsp;<span class=\"equation\">\\(30^0\\)</span>&nbsp;with the horizontal. The coefficient of friction between the body and plane is&nbsp;&nbsp;<span class=\"equation\">\\(\\frac{\\sqrt{x}}{5}\\)</span>&nbsp;​​​​​​​if the time of ascent is half of the time of descent. The value of x is __________.</p>', 'Medium', 'textarea', '<p>3</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:46:50', NULL),
(253275, '86,80,90,195,239,1742', '<p>A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it stops after moving a distance of 50 cm into it. If the velocity of bullet before hitting the wood is 10 m/s and it slows down with uniform deceleration, then the magnitude of effective retarding force on the bullet is &#39;x&#39; N. The value of &#39;x&#39; to the nearest integer is __________.</p>', 'Medium', 'textarea', '<p>10</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:47:20', NULL),
(253276, '86,80,90,195,239,1742', '<p>A boy of mass 4 kg is standing on a piece of wood having mass 5 kg. If the coefficient of friction between the wood and the floor is 0.5, the maximum force that the boy can exert on the rope so that the piece of wood does not move from its place is __________ N. (Round off to the Nearest Integer) [Take g = 10<span class=\"equation\">\\(ms^{-2}\\)</span>]​​​​​​​</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759474089.png\" style=\"height:120px; width:186px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>30</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:48:26', NULL),
(253277, '86,80,90,195,239,1742', '<p>A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction&nbsp;<span class=\"equation\">\\(\\frac{1}{\\sqrt{3}}\\)</span>&nbsp;.&nbsp;It is desired to make the body move by applying the minimum possible force F N. The value of F will be ____________. (Round off to the Nearest Integer) [Take g = 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>]​​​​​​​</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:50:20', NULL),
(253278, '86,80,90,195,239,1742', '<p>Two blocks (m = 0.5 kg and M = 4.5 kg) are arranged on a horizontal frictionless table as shown in figure. The coefficient of static friction between the two blocks is&nbsp;<span class=\"equation\">\\(\\frac{3}{7}\\)</span> . Then the maximum horizontal force that can be applied on the larger block so that the blocks move together is ___________ N. (Round off to the Nearest Integer) [Take g as 9.8 <span class=\"equation\">\\(ms^{-2}\\)</span>]</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759474307.png\" style=\"height:91px; width:223px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>21</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:51:59', NULL),
(253279, '86,80,90,195,239,1742', '<p>A person standing on a spring balance inside a stationary lift measures 60 kg. The weight of that person if the lift descends with uniform downward acceleration of 1.8 <span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​&nbsp;will be ______________ N. [g = 10 <span class=\"equation\">\\(m/s^2\\)</span>]</p>', 'Medium', 'textarea', '<p>492</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:52:43', NULL),
(253280, '86,80,90,195,239,1742', '<p>The coefficient of static friction between a wooden block of mass 0.5 kg and a vertical rough wall is 0.2. The magnitude of horizontal force that should be applied on the block to keep it adhere to the wall will be ________ N. [g =&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>]​​​​​​​</p>', 'Medium', 'textarea', '<p>25</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:53:34', NULL),
(253281, '86,80,90,195,239,1742', '<p>An inclined plane is bent in such a way that the vertical cross-section is given by&nbsp;<span class=\"equation\">\\(y = \\frac{x^2}{2}\\)</span> &nbsp;where y is in vertical and x in horizontal direction. If the upper surface of this curved plane is rough with coefficient of friction&nbsp;&nbsp;<span class=\"equation\">\\(\\mu\\)</span>​​​​​​​= 0.5, the maximum height in cm at which a stationary block will not slip downward is _________ cm.</p>', 'Medium', 'textarea', '<p>25</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 06:54:47', NULL),
(253282, '86,80,90,205,239,1742', '<p>In a hydraulic lift, the surface area of the input piston is 6&nbsp;<span class=\"equation\">\\(cm^2\\)</span>&nbsp;and that of the output piston is 1500&nbsp;<span class=\"equation\">\\(cm^2\\)</span>. If 100 N ​​​​​​​force is applied to the input piston to raise the output piston by 20 cm, then the work done is _______ kJ.</p>', 'Medium', 'textarea', '<p>5</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:30:05', NULL),
(253283, '86,80,90,205,239,1742', '<p>A force (<span class=\"equation\">\\(3x^2 + 2x - 5\\)</span>)N&nbsp;displaces a body from x = 2m to x = 4m. Work done by this force is____J.</p>', 'Medium', 'textarea', '<p>58</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:46:31', NULL),
(253284, '86,80,90,205,239,1742', '<p>A block of mass&nbsp; 10 kg is moving along x-axis under the action of force F = 5x N . The work done by the force in moving the block from x = 2m to 4m&nbsp; will be __________ J.</p>', 'Medium', 'textarea', '<p>30</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:48:10', NULL),
(253285, '86,80,90,205,239,1742', '<p>A car accelerates from rest to&nbsp;<span class=\"equation\">\\(\\mu\\)</span> m/s. The energy spent in this process is E J. The energy required to accelerate the car from&nbsp;&nbsp;<span class=\"equation\">\\(\\mu\\)</span>&nbsp;m/s&nbsp;to 2um is&nbsp;&nbsp;. The value of n is ____________.</p>', 'Medium', 'textarea', '<p>3</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:49:53', NULL),
(253286, '86,80,90,205,239,1742', '<p>To maintain a speed of 80 km/h by a bus of mass 500 kg on a plane rough road for 4 km distance, the work done by the engine of the bus will be ____________ KJ. [The coefficient of friction between tyre of bus and road is 0.04.]</p>', 'Medium', 'textarea', '<p>784</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:50:19', NULL),
(253287, '86,80,90,205,239,1742', '<p>A block of mass 5 kg&nbsp; starting from rest pulled up on a smooth incline plane making an angle of&nbsp;<span class=\"equation\">\\(30^0\\)</span>&nbsp;with horizontal with an affective acceleration of 1&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span> &nbsp;. The power delivered by the pulling force at t=10s&nbsp; from the start is_______W. [use g = 10<span class=\"equation\">\\(ms^{-2}\\)</span>]​​​​​​​</p>\r\n\r\n<p>(calculate the nearest integer value)</p>', 'Medium', 'textarea', '<p>300</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:53:10', NULL),
(253288, '86,80,90,205,239,1742', '<p>If the maximum load carried by an elevator is 1400 kg (600 kg-passengers + 800 kg - elevator), which&nbsp;is moving up with a uniform speed of 3&nbsp;<span class=\"equation\">\\(m s^{-1}\\)</span>&nbsp;and the frictional force acting on it is 2000 N , then the maximum power used by the motor is________kW (g = 10 <span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>48</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:55:06', NULL),
(253289, '86,80,90,205,239,1742', '<p>A closed circular tube of average radius 15 cm, whose inner walls are rough, is kept in vertical plane. A block of mass 1 kg just fit inside the tube. The speed of block is 22 m/s, when it is introduced at the top of tube. After completing five oscillations, the block stops at the bottom region of tube. The work done by the tube on the block is __________ J. (Given g = 10&nbsp;<span class=\"equation\">\\(m/s^2\\)</span>).</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759478181.png\" style=\"height:120px; width:134px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>245</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:56:37', NULL),
(253290, '86,80,90,205,239,1742', '<p>A body of mass 5 kg&nbsp; is moving with a momentum of 10 kg&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span> &nbsp;. Now a force of&nbsp; 2N acts on the body in the direction of its motion for&nbsp; 5s. The increase in the Kinetic energy of the body is ___________ J.</p>', 'Medium', 'textarea', '<p>30</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:57:32', NULL),
(253291, '86,80,90,205,239,1742', '<p>A body is dropped on ground from a height &#39;<span class=\"equation\">\\(h_1\\)</span>&#39; and after hitting the ground, it rebounds to a height &#39;<span class=\"equation\">\\(h_2\\)</span>&#39;. If the ratio of velocities of the body just before and after hitting ground is 4 , then percentage loss in kinetic energy of the body is&nbsp;<span class=\"equation\">\\(\\frac{x}{4}\\)</span>​​​​​​​. The value of x is ____________</p>', 'Medium', 'textarea', '<p>375</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 07:58:30', NULL),
(253292, '86,80,90,205,239,1742', '<p>A particle of mass 10g&nbsp; moves in a straight line with retardation 2x, where x is the displacement in SI units. Its loss of kinetic energy for above displacement is&nbsp;<span class=\"equation\">\\(\\begin{pmatrix}\r\n\\frac{10} {x}\r\n\\end{pmatrix}^{-n}\\)</span>J. The value of n will be______​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 08:02:00', NULL),
(253293, '86,80,90,205,239,1742', '<p>A block is fastened to a horizontal spring. The block is pulled to a distance x = 10cm&nbsp; from its equilibrium position (at x = 0) on a frictionless surface from rest. The energy of the block at x = 5 cm&nbsp; is 0.25 J&nbsp; . The spring constant of the spring is_________<span class=\"equation\">\\(Nm^{-1}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>67</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 08:03:12', NULL),
(253294, '86,80,90,205,239,1742', '<p>A force F = (5 + 3<span class=\"equation\">\\(^2\\)</span>) ​​​​​​​acts on a particle in the y-direction, where F is in newton and y is in meter. The work&nbsp;done by the force during a displacement from y = 2m to y = 5m is________J.</p>', 'Medium', 'textarea', '<p>132</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 08:06:18', NULL),
(253295, '86,80,90,205,239,1742', '<p>A small particle moves to position&nbsp;<span class=\"equation\">\\(5\\hat{i}-2\\hat{j}+\\hat{k}\\)</span>&nbsp;from its initial position <span class=\"equation\">\\(2\\hat{i}+3\\hat{j}-4\\hat{k}\\)</span>&nbsp;&nbsp;under the action of force <span class=\"equation\">\\(5\\hat{i}+2\\hat{j}+7\\hat{k}\\)</span>&nbsp;N. ​​​​​​​The value of work done will be __________ J.​​​​​​​</p>', 'Medium', 'textarea', '<p>40</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 08:09:46', NULL),
(253296, '86,80,90,205,239,1742', '<p>A lift of mass M = 500 kg is descending with speed of 2&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>&nbsp;. Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of 2&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>&nbsp;The kinetic energy of the lift at the end of fall through to a distance of 6m will be____kJ​​​​​​​</p>', 'Medium', 'textarea', '<p>7</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 08:58:15', NULL),
(253297, '86,80,90,205,239,1742', '<p>A body of mass 2 kg&nbsp;is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4 s is&nbsp;<span class=\"equation\">\\(\\frac{1}{3}\\alpha^2\\)</span><span class=\"equation\">\\(\\sqrt{P}\\)</span>m.</p>\r\n\r\n<p>The value of&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>​​​​​​​ will be________.</p>', 'Medium', 'textarea', '<p>4</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:03:59', NULL),
(253298, '86,80,90,205,239,1742', '<p>A 0.4 kg mass takes 8s to reach ground when dropped from a certain height &#39;P&#39; above surface of earth. The loss of potential energy in the last second of fall is __________ J. (Take g = 10&nbsp;<span class=\"equation\">\\(m/s^2)\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>300</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:06:33', NULL),
(253299, '86,80,90,205,239,1742', '<p>An object of mass &#39;m&#39; initially at rest on a smooth horizontal plane starts moving under the action of force F = 2N. In the process of its linear motion, the angle&nbsp;<span class=\"equation\">\\(\\theta\\)</span> &nbsp;(as shown in figure) between the direction of force and horizontal varies as&nbsp;<span class=\"equation\">\\(\\theta\\)</span>&nbsp;= kx, where k is a constant and x is the distance covered by the object from its initial position. The expression of kinetic energy of the object will be E =&nbsp;<span class=\"equation\">\\(\\frac{n}{k}sin\\theta\\)</span>. The value of&nbsp; n is_______</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759482633.png\" style=\"height:120px; width:253px\" />​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>2</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:10:52', NULL),
(253300, '86,80,90,205,239,1742', '<p>A spherical body of mass 2 kg starting from rest acquires a kinetic energy of 10000 J at the end of 5th second. The force acted on the body is ________ N.</p>', 'Medium', 'textarea', '<p>40</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:15:29', NULL),
(253301, '86,80,90,205,239,1742', '<p>A block of mass &#39;m&#39; (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25 cm&nbsp; when, its speed is halved. The value of spring constant of used spring will be nE&nbsp;<span class=\"equation\">\\(Nm^{-1}\\)</span>&nbsp;for n =_______</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759483013.png\" style=\"height:120px; width:194px\" />​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>24</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:17:07', NULL);
INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(253302, '86,80,90,205,239,1742', '<p>A uniform chain of 6 m length is placed on a table such that a part of its length is hanging over the edge of the table. The system is at rest. The co-efficient of static friction between the chain and the surface of the table is 0.5, the maximum length of the chain hanging from the table is ___________ m.</p>', 'Medium', 'textarea', '<p>2</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:17:20', NULL),
(253303, '86,80,90,205,239,1742', '<p>A 0.5 kg block moving at a speed of 12&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>&nbsp;compresses a spring through a distance 30 cm when its speed is halved. The spring constant of the spring will be _______________<span class=\"equation\">\\(Nm^{-1}\\)</span>.​​​​​​​</p>', 'Medium', 'textarea', '<p>600</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:18:24', NULL),
(253304, '86,80,90,205,239,1742', '<p>A ball of mass 100 g is dropped from a height h = 10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance&nbsp;<span class=\"equation\">\\(\\frac{h}{2}\\)</span>. The spring constant is ___________<span class=\"equation\">\\(Nm^{-1}\\)</span>.​​​​​​​​​​​​​​</p>\r\n\r\n<p>(use g = 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>)</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759483204.png\" style=\"height:120px; width:119px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>120</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:20:19', NULL),
(253305, '86,80,90,205,239,1742', '<p>An engine is attached to a wagon through a shock absorber of length 1.5 m. The system with a total mass of 40,000 kg is moving with a speed of 72 km<span class=\"equation\">\\(h^{-1}\\)</span>&nbsp;when the brakes are applied to bring it to rest. In the process of the system being brought to rest, the spring of the shock absorber gets compressed by 1.0 m. If 90% of energy of the wagon is lost due to friction, the spring constant is ____________&nbsp; X <span class=\"equation\">\\(10^5 \\)</span>​​​​​​​N/m.</p>', 'Medium', 'textarea', '<p>16</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:21:16', NULL),
(253306, '86,80,90,205,239,1742', '<p>A block moving horizontally on a smooth surface with a speed of 40 <span class=\"equation\">\\(ms^{-1}\\)</span>&nbsp;splits into two equal parts. If one of the parts moves at 60 <span class=\"equation\">\\(ms^{-1} \\)</span>​​​​​​​in the same direction, then the fractional change in the kinetic energy will be x : 4 where x = ___________.</p>', 'Medium', 'textarea', '<p>1</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:22:04', NULL),
(253307, '86,80,90,205,239,1742', '<p>Two persons A and B perform same amount of work in moving a body through a certain distance d with application of forces acting at angle <span class=\"equation\">\\(45^0\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\( 60^0\\)</span>&nbsp;with the direction of displacement respectively. The ratio of force applied by person A to the force applied by person B is&nbsp;<span class=\"equation\">\\(\\frac{1}{\\sqrt{x}}\\)</span>. The value of x is.....​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:23:40', NULL),
(253308, '86,80,90,205,239,1742', '<p>A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 meter lying on the table. If k is the kinetic energy of the chain in joule as it completely slips off the table, then the value of k is ................. . (Take g = 10 <span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​)</p>', 'Medium', 'textarea', '<p>40</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:24:10', NULL),
(253309, '86,80,90,205,239,1742', '<p>A small block slides down from the top of hemisphere of radius R = 3 m as shown in the figure. The height &#39;h&#39; at which the block will lose contact with the surface of the sphere is __________ m.<br />\r\n<br />\r\n(Assume there is no friction between the block and the hemisphere)</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759483500.png\" style=\"height:120px; width:258px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-03 09:25:12', NULL),
(253310, '86,80,90,184,239,299,1742', '<p>A uniform thin metal plate of mass 10 kg&nbsp; with dimensions is shown. The ratio of x and y coordinates of center of mass of plate in&nbsp;<span class=\"equation\">\\(\\frac{n}{9}\\)</span>. The value of n is_______​​​​​​​</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759546529.PNG\" style=\"height:150px; width:202px\" />​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>15</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 02:57:00', NULL),
(253311, '86,80,90,184,239,299,1742', '<p>In a system two particles of masses&nbsp;<span class=\"equation\">\\(m_1\\)</span>&nbsp;= 3 kg and&nbsp;<span class=\"equation\">\\(m_2\\)</span>&nbsp;= 2 kg are placed at certain distance from each other. The particle of mass&nbsp;<span class=\"equation\">\\(m_1\\)</span> &nbsp;is moved towards the center of mass of the system through a distance 2cm . In order to keep the center of mass of the system at the original position, the particle of mass&nbsp;<span class=\"equation\">\\(m_2\\)</span>​​​​​​​&nbsp;should move towards the center of mass by the distance__________cm.</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 02:58:58', NULL),
(253312, '86,80,90,184,239,299,1742', '<p>Three identical spheres each of mass 2M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 4m&nbsp; each. Taking point of intersection of these two sides as origin, the magnitude of position vector of the centre of mass of the system is&nbsp;<span class=\"equation\">\\(\\frac{4\\sqrt{2}}{x}\\)</span>, where the value of x is_____​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:01:40', NULL),
(253313, '86,80,90,184,239,299,1742', '<p>A solid circular disc of mass&nbsp; 50 kg rolls along a horizontal floor so that its center of mass has a speed of 0.4 m/s . The absolute value of work done on the disc to stop it is ________ J.</p>', 'Medium', 'textarea', '<p>6</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:02:44', NULL),
(253314, '86,80,90,184,239,299,1742', '<p>A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic impact, the direction of the velocity of the body becomes horizontal. The value of&nbsp;<span class=\"equation\">\\(\\frac{H}{h}\\)</span>​​​​​​​&nbsp;for which the body will take the maximum time to reach the ground is_____</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:04:35', NULL),
(253315, '86,80,90,184,239,299,1742', '<p>&nbsp;</p>\r\n\r\n<p>The momentum of a body is increased by 50%. The percentage increase in the kinetic energy of the body is ___________%&nbsp;</p>', 'Medium', 'textarea', '<p>125</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:05:31', NULL),
(253316, '86,80,90,184,239,299,1742', '<p>A ball is dropped from a height of&nbsp; 20m. If the coefficient of restitution for the collision between ball and floor is 0.5m, after hitting the floor, the ball rebounds to a height of ________m .</p>', 'Medium', 'textarea', '<p>5</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:06:14', NULL),
(253317, '86,80,90,184,239,299,1742', '<p>A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision, the smaller body reverses its direction of motion and moves with a speed of 2 m/s. The initial speed of the smaller body before collision is __________<span class=\"equation\">\\(ms^{-1}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:07:56', NULL),
(253318, '86,80,90,184,239,299,1742', '<p>A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its initial speed of 15 <span class=\"equation\">\\(ms^{-1}\\)</span>​​​​​​​. The impulse imparted to the ball is ___________ Ns.</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:10:36', NULL),
(253319, '86,80,90,184,239,299,1742', '<p>A man of 60 kg is running on the road and suddenly jumps into a stationary trolly car of mass 120 kg. Then, the trolly car starts moving with velocity 2 <span class=\"equation\">\\(ms^{-1}\\)</span>. The velocity of the running man was ___________ <span class=\"equation\">\\(ms^{-1}\\)</span>​​​​​​​, when he jumps into the car.</p>', 'Medium', 'textarea', '<p>6</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:12:00', NULL),
(253320, '86,80,90,184,239,299,1742', '<p>Three identical spheres each of mass M are placed at the corners of a right angled triangle with mutually perpendicular sides equal to 3 m each. Taking point of intersection of mutually perpendicular sides as origin, the magnitude of position vector of centre of mass of the system will be&nbsp;&nbsp;<span class=\"equation\">\\(\\sqrt{x}\\)</span>​​​​​​​m. The value of x is ____________.</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:12:41', NULL),
(253321, '86,80,90,184,239,299,1742', '<p>A bullet of 10 g, moving with velocity v, collides head-on with the stationary bob of a pendulum and recoils with velocity 100 m/s. The length of the pendulum is 0.5 m and mass of the bob is 1 kg. The minimum value of v = ____________ m/s so that the pendulum describes a circle. (Assume the string to be inextensible and g =<span class=\"equation\">\\(10 m/s^2\\)</span>)</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759547722.PNG\" style=\"height:120px; width:134px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>400</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:15:43', NULL),
(253322, '86,80,90,184,239,299,1742', '<p>A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to move in the original direction but with one fourth of its initial peed. The speed of the two body centre of mass is&nbsp;<span class=\"equation\">\\(\\frac{x}{10}\\)</span>​​​​​​​&nbsp;m/s. Then the value of x is_________</p>', 'Medium', 'textarea', '<p>25</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:16:41', NULL),
(253323, '86,80,90,184,239,299,1742', '<p>The position of the centre of mass of a uniform semi-circular wire of radius &#39;R&#39; placed in x-y plane with its centre at the origin and the line joining its ends as x-axis is given by&nbsp;<span class=\"equation\">\\(\\begin{pmatrix}\r\n0, \\frac{xR}{\\pi}\r\n\\end{pmatrix}\\)</span>. Then, the value of <span class=\"equation\">\\(\\begin{vmatrix}\r\nx\r\n\\end{vmatrix}\\)</span>&nbsp;is_______​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:19:24', NULL),
(253324, '86,80,90,184,239,299,1742', '<p>A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass &#39;m&#39; travelling along the surface hits at one end of the rod with a velocity &#39;u&#39; in a direction perpendicular to the rod. The collision is completely elastic. After collision, particle comes to rest. The ratio of masses&nbsp;<span class=\"equation\">\\(\\begin{pmatrix}\r\n\\frac{m}{M}\r\n\\end{pmatrix} is \\frac{1}{x}\\)</span>. The value of &#39;x&#39; will be____​​​​​​​</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:47:43', NULL),
(253325, '86,80,90,184,239,299,1742', '<p>The projectile motion of a particle of mass 5 g is shown in the figure.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759549757.PNG\" style=\"height:81px; width:213px\" /></p>\r\n\r\n<p>The initial velocity of the particle is 5<span class=\"equation\">\\(\\sqrt{2} ms^{-1}\\)</span>&nbsp;&nbsp;and the air resistance is assumed to be negligible. The magnitude of the change in momentum between the points A and B is x X&nbsp;<span class=\"equation\">\\(10^{-2} kgms^{-1}\\)</span>​​​​​​​.&nbsp;The value of x, to the nearest integer, is_______</p>', 'Medium', 'textarea', '<p>5</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:50:59', NULL),
(253326, '86,80,90,184,239,299,1742', '<p>A ball of mass 10 kg moving with a velocity 10&nbsp;m/s<span class=\"equation\">\\(\\sqrt{3}\\)</span> along the x-axis, hits another ball of mass 20 kg which is at rest. After the collision, first ball comes to rest while the second ball disintegrates into two equal pieces. One piece starts moving along y-axis with a speed of 10 m/s. The second piece starts moving at an angle of <span class=\"equation\">\\(30^0\\)</span>&nbsp;with respect to the x-axis. The velocity of the ball moving at&nbsp;<span class=\"equation\">\\(30^0\\)</span> with x-axis is x m/s. The configuration of pieces after collision is shown in the figure below. The value of x to the nearest integer is ____________.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759549989.PNG\" style=\"height:120px; width:208px\" />​​​​​​​<br />\r\n&nbsp;</p>', 'Medium', 'textarea', '<p>20</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:53:24', NULL),
(253327, '86,80,90,184,239,299,1742', '<p>The disc of mass M with uniform surface mass density&nbsp;<span class=\"equation\">\\(\\sigma\\)</span>&nbsp;is shown in the figure. The centre of mass of the quarter disc (the shaded area) is at the position&nbsp;<span class=\"equation\">\\(\\frac{\\pi}{3}\\frac{\\alpha}{\\pi},\\frac{x}{3} \\frac{\\alpha}{\\pi} \\)</span>&nbsp;where x is ________(Round off to the Nearest Integer).</p>\r\n\r\n<p>[a is an area as shown in the figure]</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759550225.PNG\" style=\"height:120px; width:130px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 03:57:22', NULL),
(253328, '86,80,90,184,239,299,1742', '<p>A ball of mass 10 kg moving with a velocity&nbsp;<span class=\"equation\">\\( 10\\sqrt{3}ms^{-1}\\)</span>&nbsp;along X-axis, hits another ball of mass 20 kg which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along Y-axis at a speed of 10 m/s. The second piece starts moving at a speed of 20 m/s at an angle&nbsp;<span class=\"equation\">\\(\\theta\\)</span>&nbsp;(degree) with respect to the X-axis.</p>\r\n\r\n<p>The configuration of pieces after collision is shown in the figure.</p>\r\n\r\n<p>The value of&nbsp;<span class=\"equation\">\\(\\theta\\)</span>​​​​​​​&nbsp;to the nearest integer is ____________.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759550384.PNG\" style=\"height:140px; width:164px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>30</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:00:06', NULL),
(253329, '86,80,90,184,239,299,1742', '<p>Two particles having masses 4 g and 16 g respectively are moving with equal kinetic energies. The ratio of the magnitudes of their linear momentum is n : 2. The value of n will be ___________.</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:00:34', NULL),
(253330, '86,80,90,184,239,299,1742', '<p>Two solids A and B of mass 1 kg and 2 kg respectively are moving with equal linear momentum. The ratio of their kinetic energies&nbsp;<span class=\"equation\">\\((K.E.)_A:(K.E.)_B\\)</span>&nbsp;will be<span class=\"equation\">\\(\\frac{A}{1}\\)</span>, so the value of A will be________​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:01:46', NULL),
(253331, '86,80,90,184,239,299,1742', '<p>A ball with a speed of 9 m/s collides with another identical ball at rest. After the collision, the direction of each ball makes an angle of&nbsp;<span class=\"equation\">\\( 30^0 \\)</span>with the original direction. The ratio of velocities of the balls after collision is x : y, where x is __________.</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:02:19', NULL),
(253332, '86,80,90,184,239,299,1742', '<p>The centre of mass of solid hemisphere of radius 8 cm is x from the centre of the flat surface. Then value of x is __________.</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:02:36', NULL),
(253333, '86,80,90,184,239,299,1742', '<p>Two bodies of the same mass are moving with the same speed, but in different directions in a plane. They have a completely inelastic collision and move together thereafter with a final speed which is half of their initial speed. The angle between the initial velocities of the two bodies (in degree) is ________.</p>', 'Medium', 'textarea', '<p>120</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:02:59', NULL),
(253334, '86,80,90,184,239,299,1742', '<p>A square shaped hole of side I =&nbsp;<span class=\"equation\">\\(\\frac{a}{2}\\)</span>&nbsp;&nbsp;is carved out at a distance d =&nbsp;<span class=\"equation\">\\(\\frac{a}{2}\\)</span>&nbsp;from the centre &lsquo;O&rsquo; of a uniform circular disk of radius a. If the distance of the centre of mass of the remaining portion form O is&nbsp;<span class=\"equation\">\\(-\\frac{a}{X}\\)</span>, value of X (to the nearest integer) is :</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759550731.PNG\" style=\"height:150px; width:165px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>23</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:05:50', NULL),
(253335, '86,80,90,200,239,1742', '<p>A sample of a liquid is kept at 1 atm. It is compressed to 5 atm which leads to a change of volume of 0.8 <span class=\"equation\">\\(cm^3\\)</span>. If the bulk modulus of the liquid is 2 GPa, the initial volume of the liquid was _______ litre.</p>\r\n\r\n<p>(Take 1 atm =&nbsp;<span class=\"equation\">\\(10^5\\)</span>​​​​​​​ Pa)</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:09:32', NULL),
(253336, '86,80,90,200,239,1742', '<p>A cube having a side of 10 cm with unknown mass and 200 gm mass were hung at two ends of a uniform rigid rod of 27 cm long. The rod along with masses was placed on a wedge keeping the distance between wedge point and 200 gm weight as 25 cm. Initially the masses were not at balance. A beaker is placed beneath the unknown mass and water is added slowly to it. At given point the masses were in balance and half volume of the unknown mass was inside the water.<br />\r\n<br />\r\n(Take the density of unknown mass is more than that of the water, the mass did not absorb water and water density is 1 gm/<span class=\"equation\">\\(cm^3\\)</span>​​​​​​​.)<br />\r\n<br />\r\nThe unknown mass is _____ kg.</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:10:17', NULL),
(253337, '86,80,90,200,239,1742', '<p>The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is n times the volume of the bubble B, then, the value of n is__________.</p>', 'Medium', 'textarea', '<p>8</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:10:59', NULL),
(253338, '86,80,90,200,239,1742', '<p>Two slabs with square cross section of different materials (1, 2) with equal sides (l) and thickness&nbsp;<span class=\"equation\">\\(d_1\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(d_2\\)</span>&nbsp;such that&nbsp;<span class=\"equation\">\\(d_2=2d_1\\)</span>&nbsp;and l &gt; <span class=\"equation\">\\(d_2\\)</span>. Considering lower edges of these slabs are fixed to the floor, we apply equal shearing force on the narrow faces. The angle of deformation is <span class=\"equation\">\\(\\theta_2=2\\theta_1\\)</span>. &nbsp;If the shear moduli of material 1 is 4 X <span class=\"equation\">\\(10^9N/m^2\\)</span>, then shear moduli of material 2 is x X <span class=\"equation\">\\(10^9N/m^2\\)</span>, where value of​ x is_______​​​​​​</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:15:10', NULL),
(253339, '86,80,90,200,239,1742', '<p>The length of a light string is 1.4 m when the tension on it is 5 N . If the tension increases to 7 N , the length of the string is 1.56 m . The original length of the string is__________m.</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:15:49', NULL),
(253340, '86,80,90,200,239,1742', '<p>A steel wire of length 2 m and Young&#39;s modulus 2.0 X&nbsp;<span class=\"equation\">\\(10^{11}Nm^{-2}\\)</span>&nbsp;is stretched by a force. If Poisson ratio and transverse strain for the wire are 0.2 and&nbsp;<span class=\"equation\">\\(10^{-3}\\)</span>&nbsp;respectively, then the elastic potential energy density of the wire is __________X&nbsp;<span class=\"equation\">\\(10^5\\)</span>​​​​​​​ (in SI units)</p>', 'Medium', 'textarea', '<p>25</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:17:41', NULL),
(253341, '86,80,90,200,239,1742', '<p>A vessel with square cross-section and height of 6 m is vertically partitioned. A small window of&nbsp; 100<span class=\"equation\">\\(cm^2\\)</span> with hinged door is fitted at a depth of 3 m in the partition wall. One part of the vessel is filled completely with water and the other side is filled with the liquid having density&nbsp;<span class=\"equation\">\\(1.5 X 10^3kg/m^3\\)</span>&nbsp;. What force one needs to apply on the hinged door so that it does not get opened ?</p>\r\n\r\n<p>(Acceleration due to gravity = 10&nbsp;<span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>150</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:20:03', NULL),
(253342, '86,80,90,200,239,1742', '<p>The volume contraction of a solid copper cube of edge length 10 cm , when subjected to a hydraulic pressure of 7&nbsp;<span class=\"equation\">\\(\\times10^6\\)</span>&nbsp;Pa, would be_____<span class=\"equation\">\\(mm^3\\)</span>.​​​​​​​</p>\r\n\r\n<p>(Given&nbsp;bulk modulus of copper = 1.4&nbsp;<span class=\"equation\">\\(\\times^11Nm^{-2}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>50</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:25:58', NULL),
(253343, '86,80,90,200,239,1742', '<p>In a measurement, it is asked to find modulus of elasticity per unit torque applied on the system. The measured quantity has dimension of&nbsp;<span class=\"equation\">\\([M^aL^bT^c]\\)</span>​​​​​​​. If b = 3, the value of c is_______</p>', 'Medium', 'textarea', '<p>0</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 04:26:54', NULL),
(253344, '86,80,90,200,239,1742', '<p>The increase in pressure required to decrease the volume of a water sample by 0.2% is&nbsp;<span class=\"equation\">\\(P\\times10^5Nm^{-2}\\)</span>. Bulk modules of water is <span class=\"equation\">\\(2.15\\times10^9N^{-2}\\)</span>. The value of P is____​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>43</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:32:48', NULL),
(253345, '86,80,90,200,239,1742', '<p>An air bubble of radius 1.0 mm is observed at a depth 20 cm below the free surface of a liquid having surface tension&nbsp;<span class=\"equation\">\\(0.095 J/m^2\\)</span> &nbsp; and density&nbsp;<span class=\"equation\">\\(10^3kg/m^3\\)</span>&nbsp;. The difference between pressure inside the bubble and atmospheric pressure is __________<span class=\"equation\">\\(N/m^2\\)</span>&nbsp;. (Take&nbsp; &nbsp;g = 10<span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​)</p>', 'Medium', 'textarea', '<p>2190</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:34:58', NULL),
(253346, '86,80,90,200,239,1742', '<p>Two soap bubbles of radius 2 cm and 4 cm , respectively, are in contact with each other. The radius of curvature of the common surface, in cm , is _________.</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:35:16', NULL),
(253347, '86,80,90,200,239,1742', '<p>Two persons pull a wire towards themselves. Each person exerts a force of 200N&nbsp; on the wire. Young&#39;s modulus of the material of wire is&nbsp;<span class=\"equation\">\\(1\\times10^{11}Nm^{-2}\\)</span>&nbsp;&nbsp;. Original length of the wire is 2m&nbsp; and the area of cross section is 2 <span class=\"equation\">\\(cm^2\\)</span>. The wire will extend in length by _________&nbsp;<span class=\"equation\">\\(\\mu\\)</span>​​​​​​​m.</p>', 'Medium', 'textarea', '<p>20</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:39:31', NULL),
(253348, '86,80,90,200,239,1742', '<p>Small water droplets of radius 0.01 mm&nbsp; are formed in the upper atmosphere and falling with a terminal velocity of 10 cm/s . Due to condensation, if 8 such droplets are coalesced and formed a larger drop, the new terminal velocity will be ________cm/s .</p>', 'Medium', 'textarea', '<p>40</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:40:27', NULL),
(253349, '86,80,90,200,239,1742', '<p>A liquid column of height 0.04cm&nbsp; balances excess pressure of a soap bubble of certain radius. If density of liquid is&nbsp;&nbsp;<span class=\"equation\">\\(8\\times10^3kgm^{-3}\\)</span>&nbsp;&nbsp;and surface tension of soap solution is&nbsp;<span class=\"equation\">\\(0.28Nm^{-1}\\)</span>, then diameter of the soap bubble is __________cm . (if g = 10&nbsp;<span class=\"equation\">\\(10ms^{-2}\\)</span>)&nbsp; &nbsp;&nbsp;</p>', 'Medium', 'textarea', '<p>7</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:42:27', NULL),
(253350, '86,80,90,200,239,1742', '<p>A wire of cross sectional area A, modulus of elasticity&nbsp;<span class=\"equation\">\\(2\\times10^{11}Nm^{-2}\\)</span>&nbsp;and length 2m&nbsp; is stretched between two vertical rigid supports. When a mass of 2 kg&nbsp; is suspended at the middle it sags lower from its original position making angle&nbsp;<span class=\"equation\">\\(\\theta = \\frac{1}{100}\\)</span>&nbsp;radian on the points of support. The value of&nbsp; A is_______<span class=\"equation\">\\(\\times 10^{-4}m^2\\)</span>&nbsp;(consider x &lt; &lt; L).</p>\r\n\r\n<p>(given : g = 10&nbsp;<span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759560386.PNG\" style=\"height:120px; width:212px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:46:46', NULL),
(253351, '86,80,90,200,239,1742', '<p>A big drop is formed by coalescing 1000 small droplets of water. The ratio of surface energy of 1000 droplets to that of energy of big drop is&nbsp;<span class=\"equation\">\\(\\frac{10}{x}\\)</span>​​​​​​​. The value of x is____</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:47:39', NULL),
(253352, '86,80,90,200,239,1742', '<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759560512.PNG\" style=\"height:150px; width:223px\" /></p>\r\n\r\n<p>A hydraulic press containing water has two arms with diameters as mentioned in the figure. A force of&nbsp; 10N&nbsp; is applied on the surface of water in the thinner arm. The force required to be applied on the surface of water in the thicker arm to maintain equilibrium of water is _________ N.</p>', 'Medium', 'textarea', '<p>1000</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:48:59', NULL),
(253353, '86,80,90,200,239,1742', '<p>The density and breaking stress of a wire are&nbsp;<span class=\"equation\">\\(6\\times10^4kg/m^3\\)</span>&nbsp;and <span class=\"equation\">\\(1.2\\times10^8N/m^2\\)</span>&nbsp;&nbsp;respectively. The wire is suspended from a rigid support on a planet where acceleration due to gravity is <span class=\"equation\">\\(\\frac{1}{3}^{rd}\\)</span>&nbsp;of the value on the surface of earth. The maximum length of the wire with breaking is _______&nbsp; m (take g = 10 <span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>600</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:51:05', NULL),
(253354, '86,80,90,200,239,1742', '<p>Mercury is filled in a tube of radius&nbsp; 2cm up to a height of 30cm . The force exerted by mercury on the bottom of the tube is _________ N.</p>\r\n\r\n<p>(Given, atmospheric pressure =&nbsp;<span class=\"equation\">\\(10^5Nm^{-2}\\)</span>, density of mercury =&nbsp;<span class=\"equation\">\\(1.36\\times 10^4kg m^{-3}, g = 10 ms^{-2}, \\pi = \\frac{22}{7}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>177</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:53:45', NULL),
(253355, '86,80,90,200,239,1742', '<p>A soap bubble is blown to a diameter of&nbsp; 7cm. 36960 erg&nbsp; of work is done in blowing it further. If surface tension of soap solution is 40 dyne/&nbsp;then the new radius is_____cm. Take&nbsp;<span class=\"equation\">\\((\\pi = \\frac{22}{7})\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>7</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:54:58', NULL),
(253356, '86,80,90,200,239,1742', '<p>An elastic spring under tension of 3N&nbsp; has a length a. Its length is b&nbsp; under tension&nbsp; 2N. For its length (3a - 2b), the value of tension will be _______ N</p>', 'Medium', 'textarea', '<p>5</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:56:13', NULL),
(253357, '86,80,90,200,239,1742', '<p>One end of a metal wire is fixed to a ceiling and a load of&nbsp; 2 kg hangs from the other end. A similar wire is attached to the bottom of the load and another load of&nbsp; 1 kghangs from this lower wire. Then the ratio of longitudinal strain of upper wire to that of the lower wire will be ________.</p>\r\n\r\n<p>[Area of cross section of wire =&nbsp;<span class=\"equation\">\\(=0.005cm^2, Y = 2\\times10^{11}Nm^{-2}and g = 10ms^{-2}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 06:58:05', NULL),
(253358, '86,80,90,200,239,1742', '<p>A plane is in level flight at constant speed and each of its two wings has an area of 40&nbsp;<span class=\"equation\">\\(m^2\\)</span>.&nbsp;If the speed of the air is&nbsp; 180 km/h over the lower wing surface and&nbsp; 252 km/h over the upper wing surface, the mass of the plane is ___________ kg.</p>\r\n\r\n<p>(Take air density to be 1 kg&nbsp;<span class=\"equation\">\\(m^{-3}\\)</span>&nbsp;and g = 10&nbsp;<span class=\"equation\">\\(ms^{-2}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>9600</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:22:11', NULL),
(253359, '86,80,90,200,239,1742', '<p>Two blocks of mass 2 kg&nbsp; and&nbsp; 4 kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is&nbsp;<span class=\"equation\">\\(4.2\\times10^{-5}\\)</span>m and Young&#39;s modulus of the metal is&nbsp;<span class=\"equation\">\\(2.0\\times 10^{11}N/m^2\\)</span>. The longitudinal strain developed in the wire is <span class=\"equation\">\\(\\frac{1}{\\alpha\\pi}\\)</span>. The value of <span class=\"equation\">\\(\\alpha\\)</span>&nbsp;is___​​​​​​​​​​​​​​</p>\r\n\r\n<p>[Use g = 10&nbsp;<span class=\"equation\">\\(m/s^2\\)</span>]</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759566406.PNG\" style=\"height:132px; width:128px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:26:57', NULL),
(253360, '86,80,90,200,239,1742', '<p>The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by 0.02%&nbsp; is _______ m.</p>\r\n\r\n<p>(Take density of sea water =&nbsp;<span class=\"equation\">\\(10^3kgm^{-3}\\)</span>, Bulk modulus of rubber =&nbsp;<span class=\"equation\">\\(9\\times 10^8Nm^{-2}, \\)</span>&nbsp;and g = 10 <span class=\"equation\">\\(ms^{-2}\\)</span>)​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>18</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:28:39', NULL),
(253361, '86,80,90,200,239,1742', '<p>A big drop is formed by coalescing 1000 small identical drops of water. If&nbsp;<span class=\"equation\">\\(E_1\\)</span>&nbsp;&nbsp;be the total surface energy of 1000 small drops of water and&nbsp;<span class=\"equation\">\\(E_2\\)</span>&nbsp;be the surface energy of single big drop of water, then <span class=\"equation\">\\(E_1:E_2\\)</span>&nbsp;is x : 1 where x = ____​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>10</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:29:43', NULL),
(253362, '86,80,90,200,239,1742', '<p>&nbsp;</p>\r\n\r\n<p>Two metallic wires P and Q have same volume and are&nbsp;made up of same material. If their area of cross sections are in the ratio 4 : 1 and force&nbsp;<span class=\"equation\">\\(F_1\\)</span>&nbsp;is applied to P, and extension of ​​​​​​​<span class=\"equation\">\\(\\triangle\\)</span>l is produce. The force which is required to produce same extension in Q is <span class=\"equation\">\\(F_2\\)</span>​​​​​​​</p>\r\n\r\n<p>The value of&nbsp;<span class=\"equation\">\\(\\frac{F_1}{F_2}\\)</span>&nbsp;is_____​​​​​​​</p>', 'Medium', 'textarea', '<p>16</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:32:02', NULL),
(253363, '86,80,90,200,239,1742', '<p>In a test experiment on a model aeroplane in wind tunnel, the flow speeds on the upper and lower surfaces of the wings are 70&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>&nbsp;and 65 <span class=\"equation\">\\(ms^{-1}\\)</span>&nbsp;respectively. If the wing area is&nbsp; 2<span class=\"equation\">\\(m^2\\)</span>, the lift of the wing is _________ N.</p>\r\n\r\n<p>(Given density of air = 1.2 kg <span class=\"equation\">\\(m^{-3}\\)</span>​​​​​​​)​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>810</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:33:59', NULL),
(253364, '86,80,90,200,239,1742', '<p>The reading of pressure metre attached with a closed pipe is&nbsp;<span class=\"equation\">\\(4.5 \\times 10^4N/m^2\\)</span>. On opening the valve, water starts flowing and the reading of pressure metre falls to&nbsp;<span class=\"equation\">\\(2.0\\times10^4N/m^2\\)</span>.&nbsp;The velocity of water is found to be&nbsp;<span class=\"equation\">\\(\\sqrt{V}\\)</span>m/s. The value of V is____</p>', 'Medium', 'textarea', '<p>50</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:35:24', NULL),
(253365, '86,80,90,239,300,1742', '<p>A thin solid disk of 1 kg is rotating along its diameter axis at the speed of 1800 rpm . By applying an external torque of&nbsp; 25 <span class=\"equation\">\\(\\pi\\)</span>​​​​​​​Nm&nbsp;for 40 s , the speed increases to 2100 rpm . The diameter of the disk is ___________ m.</p>', 'Medium', 'textarea', '<p>40</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:37:41', NULL),
(253366, '86,80,90,239,300,1742', '<p>M and R be the mass and radius of a disc. A small disc of radius R/3&nbsp; is removed from the bigger disc as shown in figure. The moment of inertia of remaining part of bigger disc about an axis AB&nbsp; passing through the centre O and perpendicular to the plane of disc is&nbsp;<span class=\"equation\">\\(\\frac{4}{x}MR^2\\)</span>. The value of x is ____________.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759567174.PNG\" style=\"height:150px; width:156px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>9</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:39:48', NULL),
(253367, '86,80,90,239,300,1742', '<p>&nbsp;</p>\r\n\r\n<p>A, B and C are disc, solid sphere and spherical shell respectively with same radii and masses. These masses are placed as shown in figure.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759567243.PNG\" style=\"height:138px; width:144px\" /></p>\r\n\r\n<p>The moment of inertia of the given system about PQ axis is&nbsp;<span class=\"equation\">\\(\\frac{x}{15}\\)</span>​​​​​​​I , where I is the moment of inertia of the disc about its diameter. The value of x&nbsp; is ____________.</p>', 'Medium', 'textarea', '<p>199</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:41:40', NULL),
(253368, '86,80,90,239,300,1742', '<p>A solid sphere with uniform density and radius R&nbsp; is rotating initially with constant angular velocity&nbsp;<span class=\"equation\">\\((\\omega_1)\\)</span>&nbsp;about its diameter. After some time during the rotation its starts loosing mass at a uniform rate, with no change in its shape. The angular velocity of the sphere when its radius become R/2 is&nbsp;<span class=\"equation\">\\(x\\omega_1\\)</span>​​​​​​​. The value of x&nbsp; is____ _________.</p>', 'Medium', 'textarea', '<p>32</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:43:24', NULL),
(253369, '86,80,90,239,300,1742', '<p>A circular ring and a solid sphere having same radius roll down on an inclined plane from rest without slipping. The ratio of their velocities when reached at the bottom of the plane is&nbsp;<span class=\"equation\">\\(\\sqrt\\frac{x}{5}\\)</span>&nbsp;where x =___________​​​​​​​</p>', 'Medium', 'textarea', '<p>4 or 3.5</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:44:59', NULL),
(253370, '86,80,90,239,300,1742', '<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759567959.PNG\" style=\"height:132px; width:112px\" /></p>\r\n\r\n<p>A wheel of radius 0.2 m rotates freely about its center when a string that is wrapped over its rim is pulled by force of 10 N as shown in figure. The established torque produces an angular acceleration of 2rad/<span class=\"equation\">\\(s^2\\)</span>. Moment of intertia of the wheel is___________ kg&nbsp;<span class=\"equation\">\\(m^2\\)</span>. (Acceleration due to gravity = 10 <span class=\"equation\">\\(m/s^2\\)</span>)​​​​​​​​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:54:29', NULL),
(253371, '86,80,90,239,300,1742', '<p>Two iron solid discs of negligible thickness have radii&nbsp;<span class=\"equation\">\\(R_1\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(R_2\\)</span>&nbsp;and moment of intertia <span class=\"equation\">\\(I_1\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(I_2\\)</span>&nbsp;respectively. For <span class=\"equation\">\\(R_2=2R_1\\)</span>, the ratio of <span class=\"equation\">\\(I_1\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(I_2\\)</span>​​​​​​​ would be 1/x, where x = ____​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>16</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:57:52', NULL),
(253372, '86,80,90,239,300,1742', '<p>The moment of inertia of a solid disc rotating along its diameter is 2.5 times higher than the moment of inertia of a ring rotating in similar way. The moment of inertia of a solid sphere which has same radius as the disc and rotating in similar way, is n times higher than the moment of inertia of the given ring. Here, n =&nbsp; ________ Consider all the bodies have equal masses.</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:58:22', NULL),
(253373, '86,80,90,239,300,1742', '<p>A circular disc reaches from top to bottom of an inclined plane of length l. When it slips down the plane, if takes&nbsp;&nbsp;. When it rolls down the plane then it takes t s. When it rolls down the plane then it takes&nbsp;<span class=\"equation\">\\((\\frac{\\alpha}{2})^{1/2}\\)</span>t s, where <span class=\"equation\">\\(\\alpha\\)</span>&nbsp;is_____​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 08:59:57', NULL),
(253374, '86,80,90,239,300,1742', '<p>A string is wrapped around the rim of a wheel of moment of inertia&nbsp;<span class=\"equation\">\\(0.40 kgm^2\\)</span>&nbsp;&nbsp;and radius&nbsp; 10cm. The wheel is free to rotate about its axis. Initially the wheel is at rest. The string is now pulled by a force of 40N . The angular velocity of the wheel after 10s&nbsp; is x-rad/s , where x&nbsp; is __________.</p>', 'Medium', 'textarea', '<p>100</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:00:56', NULL),
(253375, '86,80,90,239,300,1742', '<p>A circular table is rotating with an angular velocity of&nbsp;<span class=\"equation\">\\(\\omega\\)</span>&nbsp;rad/s&nbsp;&nbsp;about its axis (see figure). There is a smooth groove along a radial direction on the table. A steel ball is gently placed at a distance of 1m&nbsp; on the groove. All the surfaces are smooth. If the radius of the table is 3m , the radial velocity of the ball w.r.t. the table at the time ball leaves the table is&nbsp;<span class=\"equation\">\\(x\\sqrt{\\omega},\\)</span>&nbsp;m/s where the value of x is _________.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759568578.PNG\" style=\"height:137px; width:181px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:03:08', NULL),
(253376, '86,80,90,239,300,1742', '<p>Three balls of masses&nbsp; 1 kg, 4 kg&nbsp; and&nbsp; 6 kg respectively are arranged at centre of the edges of an equilateral triangle of side 2m . The moment of inertia of the system about an axis through the centroid and perpendicular to the plane of triangle, will be ________ kg&nbsp;<span class=\"equation\">\\(m^2\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:03:43', NULL),
(253377, '86,80,90,239,300,1742', '<p>A hollow sphere is rolling on a plane surface about its axis of symmetry. The ratio of rotational kinetic energy to its total kinetic energy is&nbsp;<span class=\"equation\">\\(\\frac{x}{5}\\)</span>​​​​​​​ . The value of x is _________.</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:04:47', NULL),
(253378, '86,80,90,239,300,1742', '<p>A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed v . The sphere and the cylinder reaches upto maximum heights&nbsp;<span class=\"equation\">\\(h_1 and h_2\\)</span>&nbsp;respectively, above the initial level. The ratio <span class=\"equation\">\\(h_1:h_2\\)</span>&nbsp;is&nbsp;<span class=\"equation\">\\(\\frac{n}{10}\\)</span>. The value of n is______​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>7</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:07:24', NULL),
(253379, '86,80,90,239,300,1742', '<p>A uniform rod AB of mass&nbsp; 2 kg and length 30cm&nbsp; at rest on a smooth horizontal surface. An impulse of force&nbsp; 0.2Ns is applied to end B. The time taken by the rod to turn through at right angles will be&nbsp;<span class=\"equation\">\\(\\frac{\\pi}{x}\\)</span>&nbsp;S, where x =&nbsp; _______ .</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:08:53', NULL),
(253380, '86,80,90,239,300,1742', '<p>A body of mass &#39;m&#39; is projected with a speed &#39;u&#39; making an angle of&nbsp;<span class=\"equation\">\\(45^0\\)</span>&nbsp;with the ground. The angular momentum of the body about the point of projection, at the highest point is expressed as&nbsp;<span class=\"equation\">\\(\\frac{\\sqrt{2}mu^3}{Xg}\\)</span>​​​​​​​. The value of &#39;X&#39; is______</p>', 'Medium', 'textarea', '<p>8</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:11:21', NULL),
(253381, '86,80,90,239,300,1742', '<p>Two identical spheres each of mass 2kg&nbsp; &nbsp;and radius&nbsp; 50cm are fixed at the ends of a light rod so that the separation between the centers is 150cm . Then, moment of inertia of the system about an axis perpendicular to the rod and passing through its middle point is&nbsp;<span class=\"equation\">\\(\\frac{x}{20}kgm^2\\)</span>&nbsp;, where the value of x is ___________.</p>', 'Medium', 'textarea', '<p>53</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:12:29', NULL),
(253382, '86,80,90,239,300,1742', '<p>Two discs of moment of inertia&nbsp;<span class=\"equation\">\\(I_1 = 4kgm^2\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(I_2=2kgm^2\\)</span>&nbsp;, about their central axes &amp; normal to their planes, rotating with angular speeds 10 rad/s&nbsp; &amp; 4 rad/s&nbsp; respectively are brought into contact face to face with their axes of rotation coincident. The loss in kinetic energy of the system in the process is _________ J</p>', 'Medium', 'textarea', '<p>24</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:13:43', NULL),
(253383, '86,80,90,239,300,1742', '<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759569264.PNG\" style=\"height:145px; width:215px\" /></p>\r\n\r\n<p>Consider a Disc of mass&nbsp; 5 kg, radius&nbsp; 2m, rotating with angular velocity of&nbsp; 10 rad/s about an axis perpendicular to the plane of rotation. An identical disc is kept gently over the rotating disc along the same axis. The energy dissipated so that both the discs continue to rotate together without slipping is ________ J.</p>', 'Medium', 'textarea', '<p>250</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:15:08', NULL),
(253384, '86,80,90,239,300,1742', '<p>A body of mass 5kg&nbsp; &nbsp;moving with a uniform speed&nbsp;<span class=\"equation\">\\(3\\sqrt{2}ms^{-1}\\)</span>&nbsp;in X - Y plane along the line y = x + 4.&nbsp;The angular momentum of the particle about the origin will be _____kg&nbsp;<span class=\"equation\">\\(m^2s^{-1}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>60</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:16:36', NULL),
(253385, '86,80,90,239,300,1742', '<p>A cylinder is rolling down on an inclined plane of inclination&nbsp;<span class=\"equation\">\\(60^0\\)</span>. It&#39;s acceleration during rolling down will be&nbsp;<span class=\"equation\">\\(\\frac{x}{\\sqrt3} m/s^2\\)</span>, where x = _______(use g = 10<span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​)</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>10</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:18:48', NULL),
(253386, '86,80,90,239,300,1742', '<p>A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bodies are identical and the ratio of their kinetic energies is&nbsp;,&nbsp;<span class=\"equation\">\\(\\frac{7}{x}\\)</span>​​​​​​​ where x is _________.</p>', 'Medium', 'textarea', '<p>7</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:19:33', NULL);
INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(253387, '86,80,90,239,300,1742', '<p>Four particles each of mass 1 kg&nbsp; are placed at four corners of a square of side 2m&nbsp; . Moment of inertia of system about an axis perpendicular to its plane and passing through one of its vertex is _____&nbsp;<span class=\"equation\">\\(kgm^2\\)</span></p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759569643.PNG\" style=\"height:119px; width:140px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>16</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:22:46', NULL),
(253388, '85,90,158,2342', '<p>Which of the following statements is not true about glucose?</p>', 'Medium', 'radio', NULL, 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:25:43', NULL),
(253389, '85,90,158,2342', '<p>Two statements are given &ndash; one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) as given below :</p>\r\n\r\n<p>Assertion (A): All naturally occurring &alpha;-amino acids except glycine are optically active.</p>\r\n\r\n<p>Reason (R): Most naturally occurring amino acids have L-configuration.</p>', 'Medium', 'radio', NULL, 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:26:35', NULL),
(253390, '85,90,158,2342', '<p>Write the reactions involved when D-glucose is treated with the following reagents:</p>\r\n\r\n<p>(a) HCN</p>\r\n\r\n<p>(b)&nbsp;<span class=\"equation\">\\(Br_2\\)</span>​​​​​​​ water</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:27:26', NULL),
(253391, '85,90,158,2342', '<p>(a) What is the difference between native protein and denatured protein?</p>\r\n\r\n<p>(b) Which one of the following is a disaccharide?</p>\r\n\r\n<p>(c) Which vitamin is responsible for the coagulation of blood?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:28:48', NULL),
(253392, '85,90,158,2342', '<p>Two among the three components of DNA are &beta;-D-2-deoxyribose and a heterocyclic base. The third component is</p>', 'Medium', 'radio', NULL, 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:30:03', NULL),
(253393, '85,90,158,2342', '<p>Which functional groups of glucose interact to form cyclic hemiacetal leading to pyranose structure ?</p>', 'Medium', 'radio', NULL, 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:30:38', NULL),
(253394, '85,90,158,2342', '<p>What is peptide linkage ? (</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:31:15', NULL),
(253395, '85,90,158,2342', '<p>What type of bonds hold a DNA double helix together ?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:31:27', NULL),
(253396, '85,90,158,2342', '<p>Which one of the following is a polysaccharide ?</p>\r\n\r\n<p>Sucrose, Glucose, Starch, Fructose</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:31:44', NULL),
(253397, '85,90,158,2342', '<p>Give one example each for water-soluble vitamins and fat-soluble vitamins.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:31:52', NULL),
(253398, '85,90,158,2342', '<p>Name the disaccharide which on hydrolysis gives two molecules of glucose</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:32:32', NULL),
(253399, '85,90,158,2342', '<p>Write the name of linkage joining two monosaccharides.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:32:51', NULL),
(253400, '85,90,158,2342', '<p>What is the basic structural difference between glucose and fructose?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:33:12', NULL),
(253401, '85,90,158,2342', '<p>Write the structural difference between starch and cellulose.</p>\r\n\r\n<p>&nbsp; &nbsp;&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:33:43', NULL),
(253402, '85,90,158,2342', '<p>Write the products obtained after hydrolysis of lactose.</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Or</p>\r\n\r\n<p>Write the name of two monosaccharides obtained on hydrolysis of lactose sugar.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:34:21', NULL),
(253403, '85,90,158,2342', '<p>Write the products obtained after hydrolysis of lactose.</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:34:29', NULL),
(253404, '85,90,158,2342', '<p>Write the name of two monosaccharides obtained on hydrolysis of lactose sugar.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:34:44', NULL),
(253405, '85,90,158,2342', '<p>Name a carbohydrate present in liver, muscles and brain.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:35:07', NULL),
(253406, '85,90,158,2342', '<p>What are the hydrolysis products of sucrose?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:35:26', NULL),
(253407, '85,90,158,2342', '<p>Define the following with an example.</p>\r\n\r\n<p>Polysaccharides</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:35:58', NULL),
(253408, '85,90,158,2342', '<p>Define the following with an example:</p>\r\n\r\n<p>Polysaccharides.</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;OR</p>\r\n\r\n<p>Define the following term : Polysaccharides.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:36:52', NULL),
(253409, '85,90,158,2342', '<p>Define the following term : Polysaccharides.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:37:06', NULL),
(253410, '85,90,158,2342', '<p>Write the product when D-glucose reacts with conc.<span class=\"equation\">\\(HNO_3\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:37:40', NULL),
(253411, '85,90,158,2342', '<p>Which one of the following is a disaccharide: Starch, Maltose, Fructose, Glucose?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:38:06', NULL),
(253412, '85,90,158,2342', '<p>Write the product obtained when D-glucose reacts with&nbsp;<span class=\"equation\">\\(H_2N-OH\\)</span>​​​​​​​.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:38:43', NULL),
(253413, '85,90,158,2342', '<p>Which one of the following is monosaccharide:</p>\r\n\r\n<p>Starch, maltose, fructose, cellulose,&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:39:11', NULL),
(253414, '85,90,158,2342', '<p>Which of the two components of starch is water soluble?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:39:29', NULL),
(253415, '85,90,158,2342', '<p>Write the product formed on reaction of D-glucose with&nbsp;<span class=\"equation\">\\(Br_2\\)</span>​​​​​​​ water</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:40:02', NULL),
(253416, '85,90,158,2342', '<p>Write the product formed when glucose is treated with HI</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:40:47', NULL),
(253417, '85,90,158,2342', '<p>Define the following term: Anomers</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:41:01', NULL),
(253418, '85,90,158,2342', '<p>Define the following term : Invert sugar</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:41:14', NULL),
(253419, '85,90,158,2342', '<p>Give the reaction of heating glucose with hydroxylamine. Presence of which group is confirmed by this reaction?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:41:51', NULL),
(253420, '85,90,158,2342', '<p>Define the following terms:</p>\r\n\r\n<p>(i) Oligosaccharides</p>\r\n\r\n<p>(ii) Invert Sugar</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:42:22', NULL),
(253421, '85,90,158,2342', '<p>Write the reactions showing the presence of following in the open structure of glucose:</p>\r\n\r\n<p>(i) an aldehyde group</p>\r\n\r\n<p>(ii) a primary alcohol</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:43:01', NULL),
(253422, '85,90,158,2342', '<p>Enumerate the reactions of glucose which cannot be explained by its open chain structures.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:43:26', NULL),
(253423, '85,90,158,2342', '<p>(a) What are the hydrolysis products of (i) Lactose, (ii) Maltose?</p>\r\n\r\n<p>(b) Give the basic structural difference between starch and cellulose.</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:44:26', NULL),
(253424, '85,90,158,2342', '<p>Write the reacction of glucose with</p>\r\n\r\n<p>(i) HCB</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(Br_2\r\n\\)</span>​​​​​​​</p>\r\n\r\n<p>(iii) HI</p>', 'Medium', 'checkbox', NULL, 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:45:11', NULL),
(253425, '85,90,158,2342', '<p>Write the chemical reactions to show that open structure of D-glucose contains the following:&#39;</p>\r\n\r\n<p>(i) Straight chain</p>\r\n\r\n<p>(ii) Five alcohol groups</p>\r\n\r\n<p>(iii) Aldehyde as carbonyl group</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:45:56', NULL),
(253426, '85,90,158,2342', '<p>What happens when D-glucose is treated with the following reagents?</p>\r\n\r\n<p><span class=\"equation\">\\((a) Br_2 \\)</span></p>\r\n\r\n<p>(b) HCN</p>\r\n\r\n<p><span class=\"equation\">\\(\r\n(c) (CH_3CO)_2O\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:48:11', NULL),
(253427, '85,90,158,2342', '<p>What is the difference between a glycosidic linkage and a peptide linkage?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:48:43', NULL),
(253428, '85,90,158,2342', '<p>Define the following terms with a suitable example of each:</p>\r\n\r\n<p>(a) Anomers</p>\r\n\r\n<p>(b) Essential amino acids</p>\r\n\r\n<p>(c) Denaturation of protein</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:49:19', NULL),
(253429, '85,90,158,2342', '<p>What is the difference between fibrous protein and globular protein?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:49:47', NULL),
(253430, '85,90,158,2342', '<p>Give one example of each for fibrous protein and globular protein</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:50:23', NULL),
(253431, '85,90,158,2342', '<p>Amino acids show amphoteric behaviour. Why?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:50:44', NULL),
(253432, '85,90,158,2342', '<p>What is the difference between acidic and amino acids and basic amino acids?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:51:04', NULL),
(253433, '85,90,158,2342', '<p>What is the difference between acidic amino acids and basic amino acids?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 0, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:51:33', NULL),
(253434, '85,90,158,2342', '<p>What type of linkage is responsible for the formation of proteins?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:51:53', NULL),
(253435, '85,90,158,2342', '<p>Define the following term:</p>\r\n\r\n<p>Essential amino acids</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:52:12', NULL),
(253436, '85,90,158,2342', '<p>Define the following term:</p>\r\n\r\n<p>Denaturation of proteins</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:52:40', NULL),
(253437, '85,90,158,2342', '<p>Define the following term:</p>\r\n\r\n<p>Amino acids</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 09:52:49', NULL),
(253438, '85,90,158,2342', '<p>Define denautration of protein. What is the effect of denaturation on the structure of protein?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:09:55', NULL),
(253439, '85,90,158,2342', '<p>(a) Write chemical reaction to show that open structure of D-glucose contains the straight chain.</p>\r\n\r\n<p>(b) What type of linkage is responsible for the formation of protein?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:10:43', NULL),
(253440, '85,90,158,2342', '<p>Define the following with an example of each:</p>\r\n\r\n<p>(i) Denatured protein</p>\r\n\r\n<p>(ii) Essential amino acids</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:11:17', NULL),
(253441, '85,90,158,2342', '<p>(a) Amino acids show amphoteric behaviour. Why?</p>\r\n\r\n<p>(b) Write one difference between&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>-helix and <span class=\"equation\">\\(\\beta\\)</span>​-pleated structures of proteins​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:12:44', NULL),
(253442, '85,90,158,2342', '<p>(a) Write the product when D-glucose reacts with conc.&nbsp;<span class=\"equation\">\\(HNO_3\\)</span></p>\r\n\r\n<p>(b) Amino acids show amphoteric behaviour. Why?</p>\r\n\r\n<p>(c) Write one difference between&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>-helix and&nbsp;<span class=\"equation\">\\(\\beta\\)</span>-pleated structure of protein.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:14:24', NULL),
(253443, '85,90,158,2342', '<p>Define proteins and classify them on the basis of their molecular shape</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:14:49', NULL),
(253444, '85,90,158,2342', '<p>Differentiate between the following:</p>\r\n\r\n<p>(i) Amylose and Amylopectin</p>\r\n\r\n<p>(ii) Peptide linkage and Glycosidic linkage</p>\r\n\r\n<p>(iii) Fibrous proteins and Globular proteins</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:15:38', NULL),
(253445, '85,90,158,2342', '<p>Define the following terms as related to proteins:</p>\r\n\r\n<p>(i) Peptide linkage</p>\r\n\r\n<p>(ii) Primary structure</p>\r\n\r\n<p>(iii) Denaturation</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:16:12', NULL),
(253446, '85,90,158,2342', '<p>What are essential and non-essential amino acids? Give two examples of each.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:16:32', NULL),
(253447, '85,90,158,2342', '<p>Define the following term:</p>\r\n\r\n<p>Enzymes</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:16:59', NULL),
(253448, '85,90,158,2342', '<p>Why vitamin C cannot be stored in our body?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:17:14', NULL),
(253449, '85,90,158,2342', '<p>Write the name of vitamin whose deficiency causes bone deformities in children.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:17:40', NULL),
(253450, '85,90,158,2342', '<p>Write the name of the vitamin whose deficiency causes bleeding of gums.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:18:05', NULL),
(253451, '85,90,158,2342', '<p>Deficiency of which vitamin causes night-blindness?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:18:22', NULL),
(253452, '85,90,158,2342', '<p>Deficiency of which vitamin causes rickets?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:18:37', NULL),
(253453, '85,90,158,2342', '<p>Deficiency of which vitamin causes scurvy?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:18:52', NULL),
(253454, '85,90,158,2342', '<p>Define the following term : Vitamins.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:19:10', NULL),
(253455, '85,90,158,2342', '<p>Why are vitamin A and vitamin C essential for us?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:19:30', NULL),
(253456, '85,90,158,2342', '<p>Define vitamins and classify them on the basis of their solubility.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:19:50', NULL),
(253457, '85,90,158,2342', '<p>(a) What are the products of hydrolysis of maltose?</p>\r\n\r\n<p>(b) What type of bonding provides stability to&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>-helix structure of protein?​​​​​​​</p>\r\n\r\n<p>(c) Name the vitamin whose deficiency causes pernicious anaemia</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:21:10', NULL),
(253458, '85,90,158,2342', '<p>How are vitamins classified? Name the vitamin responsible for the coagulation of blood.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:21:46', NULL),
(253459, '85,90,158,2342', '<p>Name the unit formed by the attachment of a base to 1&#39; position of sugar.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:22:12', NULL),
(253460, '85,90,158,2342', '<p>Write the products obtained after hydrolysis of DNA.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:22:29', NULL),
(253461, '85,90,158,2342', '<p>What is difference between a nucleoside and nucleotide?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:22:48', NULL),
(253462, '85,90,158,2342', '<p>What type of linkage is present in nucleic acids?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:23:03', NULL),
(253463, '85,90,158,2342', '<p>Name of the base that is found in nucleotide of RNA only.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:23:20', NULL),
(253464, '85,90,158,2342', '<p>Define the following term:</p>\r\n\r\n<p>Nucleoside</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:23:38', NULL),
(253465, '85,90,158,2342', '<p>Write the two differences between DNA and RNA</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:23:53', NULL),
(253466, '85,90,158,2342', '<p>Give reasons for any 3 of the following observations:</p>\r\n\r\n<p>(a) Penta-acetate of glucose does not react with hydroxylamine.</p>\r\n\r\n<p>(b) Amino acids behave like salts</p>\r\n\r\n<p>(c) Water soluble vitamins must be taken regularly in died.</p>\r\n\r\n<p>(d) The two strands in DNA are complimentary to each other.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:25:25', NULL),
(253467, '85,90,158,2342', '<p>Differentiate the following</p>\r\n\r\n<p>(a) Fibrous protein and Globular protein</p>\r\n\r\n<p>(b) Essential amino acids and Non-essential amino acids.</p>\r\n\r\n<p>(c) DNA and RNA</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:26:14', NULL),
(253468, '85,90,158,2342', '<p>Define the following terms:</p>\r\n\r\n<p>(a) Invert sugar</p>\r\n\r\n<p>(b) Native protein</p>\r\n\r\n<p>(c) Nucleotide</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:26:43', NULL),
(253469, '85,90,158,2342', '<p>Give the plausible explanation for the following:</p>\r\n\r\n<p>(a) Glucose doesn&#39;t give 2,4-DNP test</p>\r\n\r\n<p>(b) The two strands in DNA are not identical but are complementary.</p>\r\n\r\n<p>(c) Starch and cellulose both contain glucose unit as monomers yet they are structurally different.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:28:06', NULL),
(253470, '85,90,158,2342', '<p>Differentiate between following:</p>\r\n\r\n<p>(i) Amylose and Amylopectin</p>\r\n\r\n<p>(ii) Globular protein and fibrous protein</p>\r\n\r\n<p>(iii) Nucleotide and Nucleoside</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:28:49', NULL),
(253471, '85,90,158,2342', '<p>Account for the following</p>\r\n\r\n<p>(a) There are 5-OH groups in glucose.</p>\r\n\r\n<p>(b) Glucose is a reducing sugar.</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;OR</p>\r\n\r\n<p>What happens when D-glucose is treated with the following reagents?</p>\r\n\r\n<p>(a) bromine water</p>\r\n\r\n<p>(b)&nbsp;<span class=\"equation\">\\(HNO_3\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:30:36', NULL),
(253472, '85,90,158,2342', '<p>Account for the following</p>\r\n\r\n<p>(a) There are 5-OH groups in glucose.</p>\r\n\r\n<p>(b) Glucose is a reducing sugar.</p>\r\n\r\n<p>&nbsp; &nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:30:49', NULL),
(253473, '85,90,158,2342', '<p>What happens when D-glucose is treated with the following reagents?</p>\r\n\r\n<p>(a) bromine water</p>\r\n\r\n<p>(b)&nbsp;<span class=\"equation\">\\(HNO_3\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:31:14', NULL),
(253474, '85,90,158,2342', '<p>Three amino acids are given below:</p>\r\n\r\n<p>Alanine :&nbsp;<span class=\"equation\">\\(CH_3CH(COOH)(NH_2)\\)</span>.</p>\r\n\r\n<p>Aspartic acid : HOOC -&nbsp;<span class=\"equation\">\\(CH_2CH(COOH)(NH_2)\\)</span>&nbsp;and</p>\r\n\r\n<p>Lysine :&nbsp;<span class=\"equation\">\\(H_2N-(CH_2)_4-CH(COOH)(NH_2)\\)</span></p>\r\n\r\n<p>(i) Make two tripeptides using these amino acids and mark the peptide linkage in both cases.</p>\r\n\r\n<p>(ii) Represent alanine in the zwitter ionic form</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:34:04', NULL),
(253475, '86,80,90,201,239,537,1742', '<p>Two cylindrical rods A and B made of different materials, are joined in a straight line. The ratios of lengths, radii and thermal conductivites of these rods are:&nbsp;<span class=\"equation\">\\(\\frac{L_A}{L_B}=\\frac{1}{2}, \\frac{r_A}{r_B} = 2\\)</span>&nbsp;and <span class=\"equation\">\\(\\frac{K_A}{K_B} = \\frac{1}{2}\\)</span>​​​​​​​.&nbsp;The free ends of rods A and B are maintained at 400 K , 200 K , respectively. The temperature of rods interface is ______________ K, when equilibrium is established.​​​​​​​</p>', 'Medium', 'textarea', '<p>360</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:40:22', NULL),
(253476, '86,80,90,201,239,537,1742', '<p>A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the wire is&nbsp;<span class=\"equation\">\\(1727^0C\\)</span>&nbsp;and power radiated by the wire is 94.2 W . Its emissivity is&nbsp;<span class=\"equation\">\\(\\frac{x}{8}\\)</span>&nbsp;where x = _____</p>\r\n\r\n<p>(Given&nbsp;<span class=\"equation\">\\(\\sigma=6.0\\times10^{-8}Wm^{-2}K^{-4}, \\pi=3.14\\)</span>&nbsp;and assume that the emissivity of wire material is same at all wavelength.)​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>5</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:43:34', NULL),
(253477, '86,80,90,201,239,537,1742', '<p>An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is _______&nbsp;<span class=\"equation\">\\(\\times10^{-1}J.\\)</span>&nbsp;(Take <span class=\"equation\">\\(\\pi = 3.14\\)</span>)​​​​​​​</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759581913.PNG\" style=\"height:120px; width:200px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>314</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:45:28', NULL),
(253478, '86,80,90,201,239,537,1742', '<p>The internal energy of air in 4m&nbsp;<span class=\"equation\">\\(\\times\\)</span>&nbsp;4m <span class=\"equation\">\\(\\times\\)</span>&nbsp;3m sized&nbsp;room at 1 atmospheric pressure will be___________________ <span class=\"equation\">\\(\\times10^6J\\)</span>​​​​​​​​​​​​​​</p>\r\n\r\n<p>(Consider air as diatomic molecule)</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:46:37', NULL),
(253479, '86,80,90,201,239,537,1742', '<p><span class=\"equation\">\\(\\gamma\\)</span>A&nbsp;is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom.&nbsp;<span class=\"equation\">\\(\\gamma\\)</span>B is the&nbsp;specific heat ratio of polyatomic gas B&nbsp; having 3 translational, 3 rotational degrees of freedom and 1 vibrational mode. If&nbsp;<span class=\"equation\">\\(\\frac{\\gamma{}A}{\\gamma{b}} = (1+\\frac{1}{n})\\)</span>, then the value of n is_____​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:49:22', NULL),
(253480, '86,80,90,201,239,537,1742', '<p>A container of fixed volume contains a gas at 27&deg;C. To double the pressure of the gas, the temperature of gas should be raised to _____ &deg;C</p>', 'Medium', 'textarea', '<p>327</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:49:40', NULL),
(253481, '86,80,90,201,239,537,1742', '<p>The temperature of 1 mole of an ideal monoatomic gas is increased by&nbsp;&nbsp;<span class=\"equation\">\\(50^0\\)</span>C &nbsp;at constant pressure. The total heat added and change in internal energy are&nbsp;<span class=\"equation\">\\(E_1\\)</span>and&nbsp;<span class=\"equation\">\\(E_2\\)</span>, respectively.&nbsp; If&nbsp;<span class=\"equation\">\\(\\frac{E_1}{E_2} = \\frac{x}{9} \\)</span>. then the value of x is_____</p>', 'Medium', 'textarea', '<p>15</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:52:19', NULL),
(253482, '86,80,90,201,239,537,1742', '<p>An ideal gas initially at&nbsp;<span class=\"equation\">\\(0^0C\\)</span>​​​​​​​&nbsp;temperature, is compressed suddenly to one fourth of its volume. If the ratio of specific heat at constant pressure to that at constant volume is 3/2, the change in temperature due to the thermodynamic process is _________ K.</p>', 'Medium', 'textarea', '<p>273</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:52:58', NULL),
(253483, '86,80,90,201,239,537,1742', '<p>Two plates A and B have thermal conductivities&nbsp;<span class=\"equation\">\\(84 Wm^{-1}K^{-1}\\)</span>&nbsp;and 126 <span class=\"equation\">\\(Wm^{-1}K^{-1}\\)</span>respectively. They have same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfaces of A and B are kept at&nbsp;<span class=\"equation\">\\(100^0C\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(0^0\\)</span>C-*+- &nbsp;respectively, then the temperature of the surface of contact in steady state is _____________<span class=\"equation\">\\(^0C\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>40</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 12:56:06', NULL),
(253484, '86,80,90,201,239,537,1742', '<p>A steel rod of length 1m&nbsp; and cross sectional area&nbsp;<span class=\"equation\">\\(10^{-4}m^2\\)</span>&nbsp;is heated from <span class=\"equation\">\\(0^0C \\)</span>&nbsp;to <span class=\"equation\">\\( 200^0C \\)</span>&nbsp;without being allowed to extend or bend. The compressive tension produced in the rod is ___________&nbsp;<span class=\"equation\">\\(\\times10^4\\)</span>N. &nbsp;(Given Young&#39;s modulus of steel = <span class=\"equation\">\\(2\\times 10^{11}Nm^{-2}\\)</span>, coefficient of linear expansion = <span class=\"equation\">\\(10^{-5}K^{-1}\\)</span>)​​​​​​​​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 13:00:44', NULL),
(253485, '86,80,90,201,239,537,1742', '<p>A water heater of power 2000W&nbsp; &nbsp;is used to heat water. The specific heat capacity of water is 4200 J&nbsp;<span class=\"equation\">\\(kg^{-1}K{-1}\\)</span> &nbsp; . The efficiency of heater is 70%. Time required to heat&nbsp; 2 kg of water from&nbsp;<span class=\"equation\">\\(10^0C\\)</span>&nbsp;to&nbsp;<span class=\"equation\">\\(60^0\\)</span>​​​​​​​C &nbsp;is _________ s</p>\r\n\r\n<p>(Assume that the specific heat capacity of water remains constant over the temperature range of the water).</p>', 'Medium', 'textarea', '<p>300</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 13:02:36', NULL),
(253486, '86,80,90,201,239,537,1742', '<p>A faulty thermometer reads&nbsp;<span class=\"equation\">\\(5^0C\\)</span>&nbsp;in melting ice and&nbsp;<span class=\"equation\">\\(95^0C\\)</span>&nbsp;in stream. The correct temperature on absolute scale will be __________ K when the faulty thermometer reads&nbsp;<span class=\"equation\">\\(41^0C\\)</span>​​​​​​​ .</p>', 'Medium', 'textarea', '<p>313</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 13:05:00', NULL),
(253487, '86,80,90,201,239,537,1742', '<p>A hole is drilled in a metal sheet. At&nbsp;<span class=\"equation\">\\(27^0C\\)</span>, the diameter of hole is 5 cm. When the sheet is heated to&nbsp;<span class=\"equation\">\\(177^0C\\)</span> , the change in the diameter of hole is&nbsp;<span class=\"equation\">\\(d\\times10^{-3}\\)</span>&nbsp;cm. The value of d will be __________ if coefficient of linear expansion of the metal is 1.6&nbsp;<span class=\"equation\">\\(\\times10^{-5}/^0C\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 13:11:03', NULL),
(253488, '86,80,90,201,239,537,1742', '<p>The pressure&nbsp;<span class=\"equation\">\\(P_1\\)</span>and density <span class=\"equation\">\\(d_1\\)</span>&nbsp;of diatomic gas&nbsp;<span class=\"equation\">\\((\\gamma = \\frac{7}{5})\\)</span>&nbsp;chages sudeenly to&nbsp;<span class=\"equation\">\\(P_2(&gt;P_1)\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(d_2\\)</span>&nbsp;respectively during an adiabatic process. The temperature of the gas increases and becomes ________ times of its initial temperature. (given&nbsp;<span class=\"equation\">\\(\\frac{d_2}{d_1} = 32\\)</span>​​​​​​​)</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:21:24', NULL),
(253489, '86,80,90,201,239,537,1742', '<p>One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is&nbsp;<span class=\"equation\">\\(\\frac{\\alpha}{4}\\)</span>&nbsp;RJ/mol K; then the value of&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>​​​​​​​ &nbsp;will be _________. (Assume that the given diatomic gas has no vibrational mode).</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:24:42', NULL),
(253490, '86,80,90,201,239,537,1742', '<p>At a certain temperature, the degrees of freedom per molecule for gas is 8. The gas performs 150 J of work when it expands under constant pressure. The amount of heat absorbed by the gas will be _________ J.</p>', 'Medium', 'textarea', '<p>750</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:25:42', NULL),
(253491, '86,80,90,201,239,537,1742', '<p>A block of ice of mass 120 g at temperature <span class=\"equation\">\\(0^0C \\)</span>is put in 300 g of water at <span class=\"equation\">\\(25^0C\\)</span>. The x g of ice melts as the temperature of the water reaches <span class=\"equation\">\\(0^0C\\)</span>. The value of x is _____________.</p>\r\n\r\n<p>[Use specific heat capacity of water = 4200&nbsp;<span class=\"equation\">\\(Jkg^{-1}K^{-1}\\)</span>, Latent heat of ice = 3.5&nbsp;<span class=\"equation\">\\(\\ 3.5\\times10^5Jkg^{-1}\\)</span>]​​​​​​​</p>', 'Medium', 'textarea', '<p>90</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:28:20', NULL),
(253492, '86,80,90,201,239,537,1742', '<p>A unit scale is to be prepared whose length does not change with temperature and remains&nbsp; 20cm, using a bimetallic strip made of brass and iron each of different length. The length of both components would change in such a way that difference between their lengths remains constant. If length of brass is 40cm&nbsp; and length of iron will be __________ cm.&nbsp;<span class=\"equation\">\\((\\alpha_{iron} = 1.2\\times10^{-5}K^{-1}\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(\\alpha_{brass} = 1.8\\times10^{-5}K^{-1}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>60</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:30:47', NULL),
(253493, '86,80,90,201,239,537,1742', '<p>Two coils require 20 minutes and 60 minutes respectively to produce same amount of heat energy when connected separately to the same source. If they are connected in parallel arrangement to the same source; the time required to produce same amount of heat by the combination of coils, will be ___________ min.</p>', 'Medium', 'textarea', '<p>15</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:31:01', NULL),
(253494, '86,80,90,201,239,537,1742', '<p>As per the given figure, two plates A and B of thermal conductivity K and 2 K are joined together to form a compound plate. The thickness of plates are 4.0 cm and 2.5 cm respectively and the area of cross-section is 120 <span class=\"equation\">\\(cm^2 \\)</span>for each plate. The equivalent thermal conductivity of the compound plate is&nbsp;<span class=\"equation\">\\((1+\\frac{5}{\\alpha})K\\)</span>, then the value of&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>&nbsp;will be_____</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759592008.PNG\" style=\"height:77px; width:253px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>21</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:33:44', NULL),
(253495, '86,80,90,201,239,537,1742', '<p>300 cal. of heat is given to a heat engine and it rejects 225 cal. If source temperature is <span class=\"equation\">\\(227^0C\\)</span>, then the temperature of sink will be ______________ <span class=\"equation\">\\(^0C\\)</span>​​​​​​​.</p>', 'Medium', 'textarea', '<p>102</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:34:20', NULL),
(253496, '86,80,90,201,239,537,1742', '<p>The total internal energy of two mole monoatomic ideal gas at temperature T = 300 K will be _____________ J. (Given R = 8.31 J/mol.K)</p>', 'Medium', 'textarea', '<p>7479</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:34:58', NULL),
(253497, '86,80,90,201,239,537,1742', '<p>A diatomic gas (<span class=\"equation\">\\(\\gamma\\)</span>​​​​​​​&nbsp;= 1.4) does 400J of work when it is expanded isobarically. The heat given to the gas in the process is __________ J.</p>', 'Medium', 'textarea', '<p>1400</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:35:31', NULL),
(253498, '86,80,90,201,239,537,1742', '<p>In a carnot engine, the temperature of reservoir is 527<span class=\"equation\">\\(^0C \\)</span>and that of sink is 200 K. If the work done by the engine when it transfers heat from reservoir to sink is 12000 kJ, the quantity of heat absorbed by the engine from reservoir is ______________<span class=\"equation\">\\(\\times10^6\\)</span>J​​​​​​​</p>', 'Medium', 'textarea', '<p>16</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:36:38', NULL),
(253499, '86,80,90,201,239,537,1742', '<p>A geyser heats water flowing at a rate of 2.0 kg per minute from<span class=\"equation\">\\( 30^0C to 70^0C\\)</span>. If geyser operates on a gas burner, the rate of combustion of fuel will be ___________ g <span class=\"equation\">\\(min^{-1}\\)</span>.</p>\r\n\r\n<p>[Heat of combustion = 8&nbsp;<span class=\"equation\">\\(\\times10^3Jg^{-1}\\)</span>, Specific heat of water = 4.2&nbsp;<span class=\"equation\">\\(Jg^{-1}\\)</span>&nbsp;<span class=\"equation\">\\(^0C^{-1}\\)</span>]​​​​​​​</p>', 'Medium', 'textarea', '<p>42</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:39:23', NULL),
(253500, '86,80,90,201,239,537,1742', '<p>A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the hot reservoir, if the heat engine takes 300 J heat from the hot reservoir and delivers 180 J heat to the cold reservoir per cycle, is ____________ K</p>', 'Medium', 'textarea', '<p>540</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:39:36', NULL),
(253501, '86,80,90,201,239,537,1742', '<p>When a gas filled in a closed vessel is heated by raising the temperature by <span class=\"equation\">\\(1^0C\\)</span>​​​​​​​, its pressure increases by 0.4%. The initial temperature of the gas is ___________ K</p>', 'Medium', 'textarea', '<p>250</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:40:08', NULL),
(253502, '86,80,90,201,239,537,1742', '<p>A steam engine intakes 50 g of steam at <span class=\"equation\">\\(100^0C\\)</span> per minute and cools it down to <span class=\"equation\">\\(20^C\\)</span>. If latent heat of vaporization of steam is 540 cal <span class=\"equation\">\\(g^{-1}\\)</span>, then the heat rejected by the steam engine per minute is __________&nbsp;&nbsp;<span class=\"equation\">\\(\\times10^3 \\)</span>​​​​​​​cal.</p>\r\n\r\n<p>(Given : specific heat capacity of water : 1 cal&nbsp;<span class=\"equation\">\\(g^{-1}\\)</span>&nbsp;<span class=\"equation\">\\(^0C^{-1}\\)</span>)​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>31</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:43:12', NULL),
(253503, '86,80,90,201,239,537,1742', '<p>A monoatomic gas performs a work of&nbsp;&nbsp;<span class=\"equation\">\\(\\frac{Q}{4}\\)</span>​​​​​​​where Q is the heat supplied to it. The molar heat capacity of the gas will be ______________ R during this transformation. Where R is the gas constant.</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:43:56', NULL),
(253504, '86,80,90,201,239,537,1742', '<p>0.056 kg of Nitrogen is enclosed in a vessel at a temperature of <span class=\"equation\">\\(127^0C\\)</span>. Th amount of heat required to double the speed of its molecules is ____________ k cal.</p>\r\n\r\n<p>Take R = 2 cal&nbsp;<span class=\"equation\">\\(mole^{-1}K^{-1}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:47:03', NULL),
(253505, '86,80,90,201,239,537,1742', '<p>The temperature of 3.00 mol of an ideal diatomic gas is increased by <span class=\"equation\">\\(40.0^0C\\)</span> without changing the pressure of the gas. The molecules in the gas rotate but do not oscillate. If the ratio of change in internal energy of the gas to the amount of workdone by the gas is&nbsp;<span class=\"equation\">\\(\\frac{x}{10}\\)</span>. Then the value of x (round off to the nearest integer) is ___________. (Given R = 8.31 J&nbsp;<span class=\"equation\">\\(mol ^{-1}K^{-1}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>25</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:48:42', NULL),
(253506, '86,80,90,201,239,537,1742', '<p>The average translational kinetic energy of <span class=\"equation\">\\(N_2 \\)</span>gas molecules at .............<span class=\"equation\">\\(^0C\\)</span> becomes equal to the K.E. of an electron accelerated from rest through a potential difference of 0.1 volt. (Given <span class=\"equation\">\\(k_B = 1.38\\times  10^{-23}\\)</span>​​​​​​​&nbsp;J/K) (Fill the nearest integer).</p>', 'Medium', 'textarea', '<p>500</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:50:07', NULL),
(253507, '86,80,90,201,239,537,1742', '<p>A sample of gas with&nbsp;&nbsp;<span class=\"equation\">\\(\\gamma\\)</span>&nbsp;= 1.5 is taken through an adiabatic process in which the volume is compressed from 1200 <span class=\"equation\">\\(cm^3 \\)</span>to 300 <span class=\"equation\">\\(cm^3\\)</span>​​​​​​​. If the initial pressure is 200 kPa. The absolute value of the workdone by the gas in the process = _____________ J</p>', 'Medium', 'textarea', '<p>480</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:50:57', NULL),
(253508, '86,80,90,201,239,537,1742', '<p>A heat engine operates between a cold reservoir at temperature <span class=\"equation\">\\(T_2 \\)</span>= 400 K and a hot reservoir at temperature <span class=\"equation\">\\(T_1\\)</span>​​​​​​​. It takes 300 J of heat from the hot reservoir and delivers 240 J of heat to the cold reservoir in a cycle. The minimum temperature of the hot reservoir has to be ______________ K.</p>', 'Medium', 'textarea', '<p>500</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:51:32', NULL),
(253509, '86,80,90,201,239,537,1742', '<p>A rod CD of thermal resistance 10.0 <span class=\"equation\">\\(KW^{-1} \\)</span>is joined at the middle of an identical rod AB as shown in figure. The end A, B and D are maintained at <span class=\"equation\">\\(200^0C, 100^0C\\)</span> and <span class=\"equation\">\\(125^0C \\)</span>respectively. The heat current in CD is P watt. The value of P is ................. .</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759593190.PNG\" style=\"height:99px; width:159px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:53:20', NULL),
(253510, '86,80,90,201,239,537,1742', '<p>The area of cross-section of a railway track is 0.01 <span class=\"equation\">\\(m^2\\)</span>. The temperature variation is <span class=\"equation\">\\(10^0C\\)</span>. Coefficient of liner expansion of material of track is <span class=\"equation\">\\(105^{-5}/^0C\\)</span>. The energy stored per meter in the track is ____________ J/m.<br />\r\n<br />\r\n(Young&#39;s modulus of material of track is<span class=\"equation\">\\( 10^{11} Nm^{-2}\\)</span>​​​​​​​)</p>', 'Medium', 'textarea', '<p>05</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:55:22', NULL),
(253511, '86,80,90,201,239,537,1742', '<p>One mole of an ideal gas at <span class=\"equation\">\\(27^0 \\)</span>is taken from A to B as shown in the given PV indicator diagram. The work done by the system will be _________&nbsp;&nbsp;<span class=\"equation\">\\(\\times10^{-1} \\)</span>J. [Given : R = 8.3 J/mole K, ln2 = 0.6931] (Round off to the nearest integer)</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759593436.PNG\" style=\"height:174px; width:219px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>17258</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:57:28', NULL),
(253512, '86,80,90,201,239,537,1742', '<p>In the reported figure, heat energy absorbed by a system in going through a cyclic process is ___________<span class=\"equation\">\\(\\pi\\)</span>&nbsp;J</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759593505.PNG\" style=\"height:120px; width:143px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>100</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:58:41', NULL),
(253513, '86,80,90,201,239,537,1742', '<p>For an ideal heat engine, the temperature of the source is <span class=\"equation\">\\(127^0C\\)</span>. In order to have 60% efficiency the temperature of the sink should be ___________<span class=\"equation\">\\(^0C\\)</span>​​​​​​​(Round off to the Nearest Integer).</p>', 'Medium', 'textarea', '<p>-113</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 15:59:30', NULL),
(253514, '86,80,90,201,239,537,1742', '<p>1 mole of rigid diatomic gas performs a work of&nbsp;<span class=\"equation\">\\(\\frac{Q}{5}\\)</span>&nbsp;when heat Q is supplied to it. The molar heat capacity of the gas during this transformation is&nbsp;<span class=\"equation\">\\(\\frac{xR}{8}\\)</span>​​​​​​​. The value of x is _________. [R = universal gas constant]</p>', 'Medium', 'textarea', '<p>25</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:00:25', NULL),
(253515, '86,80,90,201,239,537,1742', '<p>The volume V of a given mass of monoatomic gas changes with temperature T according to the relation&nbsp;<span class=\"equation\">\\(V = KT^\\frac{2}{3}\\)</span>​​​​​​​. The workdone when temperature changes by 90K will be xR. The value of x is _________. [R = universal gas constant]</p>', 'Medium', 'textarea', '<p>60</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:01:15', NULL),
(253516, '86,80,90,201,239,537,1742', '<p>A container is divided into two chambers by a partition. The volume of first chamber is 4.5 litre and second chamber is 5.5 litre. The first chamber contain 3.0 moles of gas at pressure 2.0 atm and second chamber contain 4.0 moles of gas at pressure 3.0 atm. After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is <span class=\"equation\">\\(x \\times  10^{-1}\\)</span>​​​​​​​&nbsp;atm. Value of x is ________.</p>', 'Medium', 'textarea', '<p>25</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:01:55', NULL);
INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(253517, '86,80,90,201,239,537,1742', '<p>A reversible heat engine converts one-fourth of the heat input into work. When the temperature of the sink is reduced by 52K, its efficiency is doubled. The temperature in Kelvin of the source will be __________.</p>', 'Medium', 'textarea', '<p>208</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:02:16', NULL),
(253518, '86,80,90,201,239,537,1742', '<p>A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is moving with velocity 30 m/s. If container is suddenly stopped then change in temperature of the gas (R = gas constant) is&nbsp;<span class=\"equation\">\\(\\frac{x}{3R}\\)</span>. Value of x is____​​​​​​​</p>', 'Medium', 'textarea', '<p>3600</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:02:52', NULL),
(253519, '86,80,90,201,239,537,1742', '<p>In a certain thermodynamical process, the pressure of a gas depends on its volume as <span class=\"equation\">\\(kV^3\\)</span>. The work done when the temperature changes from <span class=\"equation\">\\(100^0C to 300^0C \\)</span>​​​​​​​will be ___________ nR, where n denotes number of moles of a gas.</p>', 'Medium', 'textarea', '<p>50</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:03:34', NULL),
(253520, '86,80,90,201,239,537,1742', '<p>M grams of steam at <span class=\"equation\">\\(100^oC \\)</span>is mixed with 200 g of ice at its melting point in a thermally insulated container. If it produced liquid water at <span class=\"equation\">\\(40^oC \\)</span>​​​​​​​[heat of vaporization of water is 540 cal/g and heat of fusion of ice is 80 cal/g] the value of M is ____</p>', 'Medium', 'textarea', '<p>40</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:04:39', NULL),
(253521, '86,80,90,201,239,537,1742', '<p>A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine performs 1200 J of work per cycle. The heat energy (in J) delivered by the engine to the low temperature reservoir, in a cycle, is _______.</p>', 'Medium', 'textarea', '<p>600</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:04:51', NULL),
(253522, '86,80,90,201,239,537,1742', '<p>A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas at 400 K is added to it, the final equilibrium temperature (in K) of the gas in the vessel will be close to _______.</p>', 'Medium', 'textarea', '<p>266</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:05:06', NULL),
(253523, '86,80,90,201,239,537,1742', '<p>If minimum possible work is done by a refrigerator in converting 100 grams of water at <span class=\"equation\">\\(0^oC \\)</span>to ice, how much heat (in calories) is released to the surroundings at temperature <span class=\"equation\">\\(27^oC \\)</span>​​​​​​​(Latent heat of ice = 80 Cal/gram) to the nearest integer ?</p>', 'Medium', 'textarea', '<p>8791</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:05:44', NULL),
(253524, '86,80,90,201,239,537,1742', '<p>An engine takes in 5 moles of air at <span class=\"equation\">\\(20^oC \\)</span>​​​​​​​and 1 atm, and compresses it adiabatically to 1/10th&nbsp;of the original volume. Assuming air to be a diatomic ideal gas made up of rigid molecules, the change in its internal energy during this process comes out to be X kJ. The value of X to the nearest integer is________.</p>', 'Medium', 'textarea', '<p>46</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:06:21', NULL),
(253525, '86,80,90,239,333,1742', '<p>A particle of mass 0.50 kg&nbsp;executes simple harmonic motion under force F = -50&nbsp;<span class=\"equation\">\\((Nm^{-1})\\)</span>x. The time period of oscillation is&nbsp;<span class=\"equation\">\\(\\frac{x}{35}\\)</span>S.&nbsp;The value of x&nbsp; is _________.</p>\r\n\r\n<p>(Given&nbsp;<span class=\"equation\">\\(\\pi = \\frac{22}{7}\\)</span>)​​​​​​​</p>', 'Medium', 'textarea', '<p>22</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:10:33', NULL),
(253526, '86,80,90,239,333,1742', '<p>The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of 4m, 2&nbsp;<span class=\"equation\">\\(ms^{-1}\\)</span>&nbsp;and 16 <span class=\"equation\">\\(ms^{-2}\\)</span>&nbsp;at a certain instant. The amplitude of the motion is <span class=\"equation\">\\(\\sqrt{x}\\)</span>​​​​​​​ m where x is_____​​​​​​​</p>', 'Medium', 'textarea', '<p>17</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:11:43', NULL),
(253527, '86,80,90,239,333,1742', '<p>An object of mass 0.2 kg&nbsp; executes simple harmonic motion along&nbsp;&nbsp;axis with frequency of&nbsp;<span class=\"equation\">\\((\\frac{25}{\\pi})\\)</span>Hz . At the position x = 0.04m&nbsp; &nbsp;the object has kinetic energy 0.5 J&nbsp; &nbsp;and potential energy 0.4J . The amplitude of oscillation is ________ cm.</p>', 'Medium', 'textarea', '<p>6</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:12:56', NULL),
(253528, '86,80,90,239,333,1742', '<p>A particle is doing simple harmonic motion of amplitude 0.06m and time period 3.14s&nbsp; . The maximum velocity of the particle is _________ cm/s.</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:13:27', NULL),
(253529, '86,80,90,239,333,1742', '<p>The displacement of a particle executing SHM is given by x = 10 sin&nbsp;<span class=\"equation\">\\((wt + \\frac{\\pi}{3})m\\)</span>. ​​​​​​​The time period of motion is 3.14s. The velocity of the partice at t = 0 is____m/s</p>', 'Medium', 'textarea', '<p>10</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:14:35', NULL),
(253530, '86,80,90,239,333,1742', '<p>A mass m&nbsp; is suspended from a spring of negligible mass and the system oscillates with a frequency&nbsp;<span class=\"equation\">\\(f_1\\)</span> . The frequency of oscillations if a mass 9m&nbsp; is suspended from the same spring is&nbsp;<span class=\"equation\">\\(f_2\\)</span> . The value of&nbsp;<span class=\"equation\">\\(\\frac{f_1}{f_2}\\)</span>&nbsp;i_____​​​​​​​</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:16:02', NULL),
(253531, '86,80,90,239,333,1742', '<p>The time period of simple harmonic motion of mass&nbsp;&nbsp;in the given figure is&nbsp;<span class=\"equation\">\\(\\pi\\sqrt{\\frac{\\alpha}{5k}}\\)</span>, where teh value of <span class=\"equation\">\\(\\alpha\\)</span>&nbsp;is _______​​​​​​​</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759594763.PNG\" style=\"height:120px; width:153px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:19:38', NULL),
(253532, '86,80,90,239,333,1742', '<p>A particle performs simple harmonic motion with amplitude A . Its speed is increased to three times at an instant when its displacement is&nbsp;<span class=\"equation\">\\(\\frac{2A}{3}\\)</span>.&nbsp;The new amplitude of motion is&nbsp;<span class=\"equation\">\\(\\frac{nA}{3}\\)</span>​​​​​​​. The value of n is______</p>', 'Medium', 'textarea', '<p>7</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:20:57', NULL),
(253533, '86,80,90,239,333,1742', '<p>A simple harmonic oscillator has an amplitude A and time period&nbsp;<span class=\"equation\">\\(6\\pi\\)</span>&nbsp;second. Assuming the oscillation starts from its mean position, the time required by it to travel from&nbsp; x = A to&nbsp; x =&nbsp;<span class=\"equation\">\\(\\frac{\\sqrt{3}}{2}\\)</span>&nbsp;A will be&nbsp;<span class=\"equation\">\\(\\frac{\\pi}{x}\\)</span>S, where x = _____​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:23:56', NULL),
(253534, '86,80,90,239,333,1742', '<p>When the displacement of a simple harmonic oscillator is one third of its amplitude, the ratio of total energy to the kinetic energy is&nbsp;<span class=\"equation\">\\(\\frac{x}{8}\\)</span>​​​​​​​, where x = ______</p>', 'Medium', 'textarea', '<p>9</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:24:24', NULL),
(253535, '86,80,90,239,333,1742', '<p>A particle executes simple harmonic motion with an amplitude of 4cm . At the mean position, velocity of the particle is&nbsp; 10cm/s. The distance of the particle from the mean position when its speed becomes 5cm/s&nbsp; is&nbsp;<span class=\"equation\">\\(\\sqrt{\\alpha}\\)</span>cm&nbsp;, where&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>​​​​​​​= &nbsp;________.</p>', 'Medium', 'textarea', '<p>12</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:25:46', NULL),
(253536, '86,80,90,239,333,1742', '<p>At a given point of time the value of displacement of a simple harmonic oscillator is given as y = A cos<span class=\"equation\">\\((30^0)\\)</span> . If amplitude is&nbsp; 40 cm and kinetic energy at that time is 200 J&nbsp; , the value of force constant is 1.0&nbsp;<span class=\"equation\">\\(\\times 10^xNm^{-1}\\)</span>​​​​​​​ . The value of&nbsp; x is ____________.</p>', 'Medium', 'textarea', '<p>4</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:27:10', NULL),
(253537, '86,80,90,239,333,1742', '<p>A rectangular block of mass&nbsp; 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1m&nbsp; and time period 3.14s . The maximum force exerted by spring on block is _________ N</p>', 'Medium', 'textarea', '<p>20</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:27:48', NULL),
(253538, '86,80,90,239,333,1742', '<p>A simple pendulum with length&nbsp; 100 cm and bob of mass&nbsp; 250g is executing S.H.M. of amplitude 10cm . The maximum tension in the string is found to be&nbsp;<span class=\"equation\">\\(\\frac{x}{40}\\)</span>​​​​​​​N&nbsp;. The value of x&nbsp; is ___________</p>', 'Medium', 'textarea', '<p>101</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:28:42', NULL),
(253539, '86,80,90,239,333,1742', '<p>The amplitude of a particle executing SHM is 3cm . The displacement at which its kinetic energy will be 25% more than the potential energy is: __________&nbsp;</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:29:01', NULL),
(253540, '86,80,90,239,333,1742', '<p>In the figure given below, a block of mass M = 490g&nbsp; placed on a frictionless table is connected with two springs having same spring constant&nbsp;<span class=\"equation\">\\((K = 2 Nm^{-1})\\)</span>&nbsp;. If the block is horizontally displaced through &#39;X&#39; m then the number of complete oscillations it will make in 14<span class=\"equation\">\\(\\pi\\)</span> seconds will be _____________.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759595453.PNG\" style=\"height:157px; width:258px\" />​​​​​​​</p>\r\n\r\n<p>&nbsp;</p>', 'Medium', 'textarea', '<p>20</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:31:05', NULL),
(253541, '86,80,90,239,333,1742', '<p>The velocity of a particle executing SHM varies with displacement (x) as&nbsp;<span class=\"equation\">\\(4v^2 = 50-x^2\\)</span>&nbsp;. The time period of oscillations is&nbsp;<span class=\"equation\">\\(\\frac{\\pi}{7}\\)</span>s. The value of x is ______(Take&nbsp;<span class=\"equation\">\\(\\pi=\\frac{22}{7}\\)</span>​​​​​​​)</p>', 'Medium', 'textarea', '<p>88</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:32:54', NULL),
(253542, '86,80,90,239,333,1742', '<p>The general displacement of a simple harmonic oscillator is x = A sin&nbsp;<span class=\"equation\">\\(\\omega t\\)</span>. Let T be its time period. The slope of its potential energy (U) - time (t) curve will be maximum when t =&nbsp;<span class=\"equation\">\\(\\frac{T}{\\beta}\\)</span>. The value of&nbsp;<span class=\"equation\">\\(\\beta\\)</span>​​​​​​​ is___</p>', 'Medium', 'textarea', '<p>8</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:34:23', NULL),
(253543, '86,80,90,239,333,1742', '<p>A particle of mass 250 g executes a simple harmonic motion under a periodic force F = (-25x)N . The particle attains a maximum speed of 4 m/s during its oscillation. The amplitude of the motion is ___________ cm.</p>', 'Medium', 'textarea', '<p>40</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:34:53', NULL),
(253544, '86,80,90,239,333,1742', '<p>A mass m attached to free end of a spring executes SHM with a period of 1s. If the mass is increased by 3 kg the period of the oscillation increases by one second, the value of mass m is ___________ kg.</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:35:06', NULL),
(253545, '86,80,90,239,333,1742', '<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759595768.PNG\" style=\"height:93px; width:404px\" /></p>\r\n\r\n<p>A block of a mass 2 kg is attached with two identical springs of spring constant 20 N/m each. The block is placed on a frictionless surface and the ends of the springs are attached to rigid supports (see figure). When the mass is displaced from its equilibrium position, it executes a simple harmonic motion. The time period of oscillation is&nbsp;<span class=\"equation\">\\(\\frac{\\pi}{\\sqrt{x}}\\)</span>​​​​​​​ &nbsp;in SI unit. The value of&nbsp; x is ____________.</p>', 'Medium', 'textarea', '<p>5</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:38:04', NULL),
(253546, '86,80,90,239,333,1742', '<p>The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is 10s. If the metallic bob is immersed in water, then the new time period becomes&nbsp; 5<span class=\"equation\">\\(\\sqrt{x}\\)</span>s. The value of x will be ________.</p>', 'Medium', 'textarea', '<p>5</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:38:53', NULL),
(253547, '86,80,90,239,333,1742', '<p>The potential energy of a particle of mass 4kg&nbsp; in motion along the x-axis is given by U = 4(1-cos 4x)J. The&nbsp;time period of the particle for small oscillation (sin<span class=\"equation\">\\(\\theta\\simeq \\theta\\)</span>) is&nbsp;<span class=\"equation\">\\((\\frac{\\pi}{K})\\)</span>​​​​​​​s. The value of K is_______</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:40:58', NULL),
(253548, '86,80,90,239,333,1742', '<p>A body is performing simple harmonic with an amplitude of 10 cm. The velocity of the body was tripled by air jet when it is at 5 cm from its mean position. The new amplitude of vibration is&nbsp;<span class=\"equation\">\\(\\sqrt{x}\\)</span>cm. The value of x is_______​​​​​​​</p>', 'Medium', 'textarea', '<p>700</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:42:25', NULL),
(253549, '86,80,90,239,333,1742', '<p>A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6 s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ___________ s</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:42:41', NULL),
(253550, '86,80,90,239,333,1742', '<p>A particle of mass 1 kg is hanging from a spring of force constant 100 <span class=\"equation\">\\(Nm^{-1}\\)</span>. The mass is pulled slightly downward and released so that it executes free simple harmonic motion with time period T. The time when the kinetic energy and potential energy of the system will become equal, is&nbsp;<span class=\"equation\">\\(\\frac{T}{x}\\)</span>​​​​​​​. The value of x is _____________.</p>', 'Medium', 'textarea', '<p>8</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:43:33', NULL),
(253551, '86,80,90,239,333,1742', '<p>In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be ____________ rad/s when k = 20 N/m.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759596275.PNG\" style=\"height:69px; width:274px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>10</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:44:47', NULL),
(253552, '86,80,90,239,333,1742', '<p>A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The speed of bob, when the length makes an angle of <span class=\"equation\">\\(60^0 \\)</span>to the vertical will be (g = 10 <span class=\"equation\">\\(m/s^2\\)</span>​​​​​​​) ____________ m/s.</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:45:36', NULL),
(253553, '86,80,90,239,333,1742', '<p>A particle performs simple harmonic motion with a period of 2 second. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is&nbsp;<span class=\"equation\">\\(\\frac{1}{\\alpha}\\)</span>​​​​​​​s. The value of &#39;a&#39; to the nearest integer is _________.</p>', 'Medium', 'textarea', '<p>6</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:46:16', NULL),
(253554, '86,80,90,239,333,1742', '<p>Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 shows one of them and Fig. 2 shows their series combination. The ratios of time period of oscillation of the two SHM is&nbsp;<span class=\"equation\">\\(T_b/T_a=\\sqrt{x}\\)</span>, where value of x is_______. &nbsp;(Round off to the Nearest Integer)</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759596475.PNG\" style=\"height:201px; width:194px\" />​​​​​​​</p>', 'Medium', 'textarea', '<p>2</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:48:07', NULL),
(253555, '86,80,90,239,333,1742', '<p>A particle executes S.H.M. with amplitude &#39;a&#39;, and time period &#39;T&#39;. The displacement of the particle when its speed is half of maximum speed is&nbsp;<span class=\"equation\">\\(\\frac{\\sqrt{x\\alpha}}{2}\\)</span>​​​​​​​. The value of x is_____</p>', 'Medium', 'textarea', '<p>3</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:49:15', NULL),
(253556, '86,80,90,239,333,1742', '<p>Time period of a simple pendulum is T. The time taken to complete&nbsp;<span class=\"equation\">\\(\\frac{5}{8}\\)</span>&nbsp;oscillations starting from mean position is&nbsp;<span class=\"equation\">\\(\\frac{\\alpha}{\\beta}\\)</span>T. The value of&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>&nbsp;is______​​​​​​​</p>', 'Medium', 'textarea', '<p>7</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:50:57', NULL),
(253557, '86,80,90,197,239,1742', '<p>A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is&nbsp;<span class=\"equation\">\\(\\frac{\\alpha-1}{\\alpha}\\)</span> then the value of&nbsp;<span class=\"equation\">\\(\\alpha\\)</span>​​​​​​​&nbsp;is _________.</p>', 'Medium', 'textarea', '<p>16</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:53:24', NULL),
(253558, '86,80,90,197,239,1742', '<p>&nbsp;</p>\r\n\r\n<p>Two open organ pipes of lengths 60 cm and 90 cm&nbsp; resonate at 6th&nbsp;&nbsp;and 5th&nbsp;&nbsp;harmonics respectively. The difference of frequencies for the given modes is _________ Hz. (Velocity of sound in air = 333 m/s )</p>', 'Medium', 'textarea', '<p>740</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:54:27', NULL),
(253559, '86,80,90,197,239,1742', '<p>A sonometer wire of resonating length 90 cm&nbsp; has a fundamental frequency of 400 Hz&nbsp; when kept under some tension. The resonating length of the wire with fundamental frequency of 6000 Hz&nbsp; &nbsp;under same tension _______ cm.</p>', 'Medium', 'textarea', '<p>60</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:55:12', NULL),
(253560, '86,80,90,197,239,1742', '<p>A tuning fork resonates with a sonometer wire of length 1m stretched with a tension of 6N&nbsp; . When the tension in the wire is changed to 54N&nbsp; , the same tuning fork produces 12 beats per second with it. The frequency of the tuning fork is ________________ Hz.</p>', 'Medium', 'textarea', '<p>6</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-04 16:55:59', NULL),
(253561, '86,90,224,2342', '<p>A student performs a photoelectric experiment using a clean metal surface and notices the following observations:</p>\r\n\r\n<p>1. Even when the intensity of light is increased, the emitted electrons do not gain any extra energy.</p>\r\n\r\n<p>2. For a certain light frequency, the photoelectric current stops completely at a particular negative potential.</p>\r\n\r\n<p>3. When the frequency of incident light is reduced below a certain limit, no electrons are emitted regardless of intensity.</p>\r\n\r\n<p><strong>Based on these clues:</strong><br />\r\n(a) Identify and define the physical quantities related to each of the above observations.<br />\r\n(b) Write the relevant relation connecting these quantities with energy or voltage.<br />\r\n(c) Mention their SI units.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-10-05 04:59:38', NULL),
(253562, '86,90,224,2342', '<p>The graph below shows the variation of stopping potential (<span class=\"equation\">\\(V_0\\)</span>​) with frequency (&nu;) of incident light for two photo-sensitive metals A and B. Both metals are exposed to monochromatic light under identical conditions. Using the information from the graph, answer the following:</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759641219.jpg\" style=\"height:100px; width:134px\" />​​​​​​​</p>\r\n\r\n<p>(i) Which metal possesses a smaller threshold wavelength? Justify your answer in terms of the intercept of the&nbsp;<span class=\"equation\">\\(V_0 -v\\)</span>&nbsp;graph.</p>\r\n\r\n<p>(ii) For a given wavelength of incident light, which metal will emit photoelectrons having lower maximum kinetic energy? Support your answer with reasoning.</p>\r\n\r\n<p>(iii) If the intensity of incident light on metal A is reduced by increasing the distance of the light source to double its original value, what change, if any, will occur in the stopping potential? Explain your answer.</p>', 'Medium', 'radio', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-10-05 05:13:56', NULL),
(253563, '86,90,224,2342', '<p>When a photosensitive metal surface is exposed to monochromatic light of frequency f, the emitted photoelectrons possess a maximum speed <span class=\"equation\">\\(v_{max}\\)</span>​. A straight-line graph is obtained between <span class=\"equation\">\\(v^2_{max}\\)</span>​​​​​​​(on the y-axis) and frequency f(on the x-axis), as shown in the figure.</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759642420.jpg\" style=\"height:120px; width:157px\" />​​​​​​​</p>\r\n\r\n<p>Using the graph, derive expressions for:<br />\r\n<strong>(i)</strong> Planck&rsquo;s constant h, and<br />\r\n<strong>(ii)</strong> The work function <span class=\"equation\">\\(\\phi\\)</span>&nbsp;of the metal, in terms of the slope &alpha;, intercept &beta;, and mass m of the electron.</p>', 'Medium', 'textarea', NULL, 3, 1, 1, 1, 'https://school.achievam.com/panel/question/doadd', '2025-10-05 06:13:56', NULL),
(253564, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>Zn, Cd, Hg are considered as d-block elements but not as transition elements.</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;Or</p>\r\n\r\n<p>Account for the following:</p>\r\n\r\n<p>Zn is not considered as a transition element.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:22:57', NULL),
(253565, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>Zn, Cd, Hg are considered as d-block elements but not as transition elements.</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:23:07', NULL),
(253566, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>Zn is not considered as a transition element.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:23:15', NULL),
(253567, '85,90,1065,2342', '<p>What are the transition elements? Write two characteristics of the transition elements.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:23:46', NULL),
(253568, '85,90,1065,2342', '<p>Out of zinc and tin, whose coating is better to protect iron objects?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:26:09', NULL),
(253569, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>Copper (I) compounds are white whereas copper(II) compounds are coloured.</p>', 'Medium', 'textarea', '<p>1</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:26:57', NULL),
(253570, '85,90,1065,2342', '<p>Write the formula of an oxoanion of chromium (Cr) in which it shows the oxidation state equal to its group number.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:27:23', NULL),
(253571, '85,90,1065,2342', '<p>Write the formula of an oxoaniion of maganese (Mn) in which it shows the oxidation state equal to its group number.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:28:04', NULL),
(253572, '85,90,1065,2342', '<p>How would you acount for the following:</p>\r\n\r\n<p>Tranisition metals form coloured compounds?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:28:26', NULL),
(253573, '85,90,1065,2342', '<p><span class=\"equation\">\\(Zn^{2+}\\)</span>&nbsp;salts are white while <span class=\"equation\">\\(Cu^{2+}\\)</span>&nbsp;salts are coloured. why?​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:29:43', NULL),
(253574, '85,90,1065,2342', '<p>Why do transition elements show variable oxidation states?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:30:02', NULL),
(253575, '85,90,1065,2342', '<p>Calculate the spin-only moment of&nbsp;<span class=\"equation\">\\(Co^{2+}\\)</span>(Z = 27) by writing the electronic configuration of Co and&nbsp;<span class=\"equation\">\\(Co^{2+}\\)</span>.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:31:11', NULL),
(253576, '85,90,1065,2342', '<p>Give reason and select one atom/ion which will exhibit asked property:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Sc^3+\\)</span>&nbsp;<span class=\"equation\">\\(Cr^{3+}\\)</span>(exhibit diamagnetic behaviour)</p>\r\n\r\n<p>(ii) Cr or Cu (high melting and boiling point)</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:32:53', NULL),
(253577, '85,90,1065,2342', '<p>Calculate the number of unpaired electrons in the following gaseous ions:</p>\r\n\r\n<p><span class=\"equation\">\\(Mn^{3+}\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(Cr^{3+}\\)</span>&nbsp;(atomic number of Cr = 24, Mn = 25)​​​​​​​</p>\r\n\r\n<p>Which one of them is most stable in aqueous solution and why?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:35:39', NULL),
(253578, '85,90,1065,2342', '<p>Calculate the number of unpaired electrons in the following gaseous ions:</p>\r\n\r\n<p><span class=\"equation\">\\(Ti^{3+}\\)</span>&nbsp;and <span class=\"equation\">\\(Cr^{3+}\\)</span>&nbsp;(Atomic number of Ti = 22, Cr = 24)​​​​​​​​​​​​​​</p>\r\n\r\n<p>Which one of them is most stable in aqueous solution and why?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:37:33', NULL),
(253579, '85,90,1065,2342', '<p>Give reasons for the following:</p>\r\n\r\n<p>(i) Transition metals form alloys.</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(Mn_2O_3\\)</span>&nbsp;is basic whereas <span class=\"equation\">\\(Mn_2O_7\\)</span>&nbsp;is acidic.​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:38:32', NULL),
(253580, '85,90,1065,2342', '<p>Use the data to answer the following and also justify giving reasons:</p>\r\n\r\n<table border=\"1\" cellpadding=\"1\" cellspacing=\"1\" style=\"width:500px\">\r\n	<tbody>\r\n		<tr>\r\n			<td>&nbsp;</td>\r\n			<td>Cr</td>\r\n			<td>Mn</td>\r\n			<td>Fe</td>\r\n			<td>Co</td>\r\n		</tr>\r\n		<tr>\r\n			<td><span class=\"equation\">\\(E^0M^{2+}/M\\)</span></td>\r\n			<td>-0.91</td>\r\n			<td>-1.18</td>\r\n			<td>-0.44</td>\r\n			<td>-0.28</td>\r\n		</tr>\r\n		<tr>\r\n			<td><span class=\"equation\">\\(E^0M^{3+}/M^{2+}\\)</span></td>\r\n			<td>-0.41</td>\r\n			<td>+1.57</td>\r\n			<td>+0.77</td>\r\n			<td>+1.97</td>\r\n		</tr>\r\n	</tbody>\r\n</table>\r\n\r\n<p>(i) Which is a stronger reducing agent in aqueous medium,&nbsp;<span class=\"equation\">\\(Cr^{2+}\\)</span>&nbsp;or&nbsp;<span class=\"equation\">\\(Fe^{2+}\\)</span>&nbsp;and why?​​​​​​​</p>\r\n\r\n<p>(ii) What is the most stable ion in +2 oxidation state and why?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:42:12', NULL),
(253581, '85,90,1065,2342', '<p>Give reasons:</p>\r\n\r\n<p>(a) Of the&nbsp;<span class=\"equation\">\\(d^4\\)</span>&nbsp;species, <span class=\"equation\">\\(Cr^{2+}\\)</span>is strongly reducing while <span class=\"equation\">\\(Mn^{3+}\\)</span>is strongly oxidising.​​​​​​​​​​​​​​​​​​​​​</p>\r\n\r\n<p>(b) The&nbsp;<span class=\"equation\">\\(d^1\\)</span>&nbsp;configuration is very unstable in ions.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:43:42', NULL),
(253582, '85,90,1065,2342', '<p>(i) How is the variability in oxidation states of transition metals different from that of the p-block elements?</p>\r\n\r\n<p>(ii) Out of&nbsp;<span class=\"equation\">\\(Cu^{+}\\)</span>&nbsp;and <span class=\"equation\">\\(Cu^{2+}\\)</span>, Which ion is unstable in aqueous solution and why? ​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:45:13', NULL),
(253583, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>(i) Transition metals show variable oxidation states.&nbsp;</p>\r\n\r\n<p>(ii) Zn, Cd and Hg are soft metals.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:45:56', NULL),
(253584, '85,90,1065,2342', '<p>Give reasons:</p>\r\n\r\n<p>(i) Mn shows the highest oxidation state of +7 with oxygen but with fluorine it shows the highest oxidation state of +4.</p>\r\n\r\n<p>(ii) Transition metals show variable oxidation states.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:46:47', NULL),
(253585, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>(i) Transition metals show variable oxidation states.</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(Cu^{+}\\)</span>&nbsp;ion is unstable in aqueous solution.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:47:37', NULL),
(253586, '85,90,1065,2342', '<p>Why do transition elements show variable oxidation states? In 3d series (Sc to Zn), which element shows the maximum number of oxidation states and why?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:48:41', NULL),
(253587, '85,90,1065,2342', '<p>How would you account for the following:</p>\r\n\r\n<p>(i) Highest fluoride of Mn is&nbsp;<span class=\"equation\">\\(MnF_4\\)</span>&nbsp;whereas the highest oxide is <span class=\"equation\">\\(Mn_2O_7\\)</span>.​​​​​​​​​​​​​​</p>\r\n\r\n<p>(ii) Transition metals and their compounds show catalytic properties.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:49:54', NULL),
(253588, '85,90,1065,2342', '<p>What is meant by disproportionation? Give an example of a disproportionation reaction in aqueous solution.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:50:30', NULL),
(253589, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Mn^{2+}\\)</span>&nbsp;is more stable than&nbsp;<span class=\"equation\">\\(Fe^{2+}\\)</span>&nbsp;towards oxidation to +3 state.​​​​​​​</p>\r\n\r\n<p>(ii) The enthalpy of atomization is lowest for Zn in 3d series of the transition elements.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:51:50', NULL),
(253590, '85,90,1065,2342', '<p>(i) Write two characteristic of the transition elements.</p>\r\n\r\n<p>(ii) Which of the 3d-block elements may not be regarded as the transition elements and why?</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:52:44', NULL),
(253591, '85,90,1065,2342', '<p>Assign a reason for each of the following observations:</p>\r\n\r\n<p>(i) The transition metals (with the exception of Zn, Cd and Hg) are hard and have high melting and boiling points.</p>\r\n\r\n<p>(ii) The ionisation enthalpies (first and second) in the first series of the transition elements are found to vary irregularly.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:54:13', NULL),
(253592, '85,90,1065,2342', '<p>Assign reasons for the following:</p>\r\n\r\n<p>(i) Copper (I) ion is not known to exist in aqueous solutions.</p>\r\n\r\n<p>(ii) Both&nbsp;<span class=\"equation\">\\(O_2\\)</span>&nbsp;and&nbsp;<span class=\"equation\">\\(F_2\\)</span>&nbsp;stabilize high oxidation states of transition metals but the ability of oxygen to do so exceeds that of fluorine.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:56:17', NULL),
(253593, '85,90,1065,2342', '<p>Give reasons for the following:</p>\r\n\r\n<p>(i) Transition metals exhibit a wide range oxidation states.</p>\r\n\r\n<p>(ii) Cobalt (II) is very stable in aqueous solutions but gets easily oxidised in the presence of strong ligands.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:57:19', NULL),
(253594, '85,90,1065,2342', '<p>Assign reasons for the following:</p>\r\n\r\n<p>(i) Cu(I) ion is not known to exist in aqueous solutions.</p>\r\n\r\n<p>(ii) Transition metals are much harder than the alkali metals.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:58:26', NULL),
(253595, '85,90,1065,2342', '<p>Assign reasons for the following:</p>\r\n\r\n<p>(i) Transition metals and many of their compounds act as good catalysts.</p>\r\n\r\n<p>(ii) Transition metals generally form coloured compounds.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 05:59:16', NULL),
(253596, '85,90,1065,2342', '<p>Following are the transition ion of 3d series.</p>\r\n\r\n<p><span class=\"equation\">\\(Ti^{4+}, V^{2+}, Mn^{3+}, Cr^{3+} \\)</span></p>\r\n\r\n<p>(Atomic numbers : Ti = 22, V = 23, Mn = 25, Cr = 24)</p>\r\n\r\n<p>Answer the following:</p>\r\n\r\n<p>(i) Which ion is most stable in aqueous solution and why?</p>\r\n\r\n<p>(ii) Which ion is strong oxidising agent and why?</p>\r\n\r\n<p>(iii) Which ion is colourless and why?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:01:40', NULL),
(253597, '85,90,1065,2342', '<p>Account for the following&nbsp;</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Cu^{2+}\\)</span>&nbsp;salts are coloured while&nbsp;<span class=\"equation\">\\(Zn^{2+}\\)</span>&nbsp;salts are white.​​​​​​​</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(E^0\\)</span>&nbsp;value for the <span class=\"equation\">\\(Mn^{3+}/Mn^{2+}\\)</span>&nbsp;couple is much more positive than that for <span class=\"equation\">\\(Cr^{3+}/Cr^{2+}\\)</span>​​​​​​​​​​​​​​</p>\r\n\r\n<p>(iii) Transition metals form alloys.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:11:33', NULL),
(253598, '85,90,1065,2342', '<p>(i) Which ion amongst the following is colourless and why?</p>\r\n\r\n<p><span class=\"equation\">\\(Ti^{4+}, Cr^{3+}, V^{3+}\\)</span></p>\r\n\r\n<p>(Atomic number of Ti= 22, Cr = 24, V = 23)</p>\r\n\r\n<p>(ii) Why is&nbsp;<span class=\"equation\">\\(Mn^{2+}\\)</span>much more resistant than <span class=\"equation\">\\(Fe^{2+}\\)</span>towards oxidation?​​​​​​​​​​​​​​</p>\r\n\r\n<p>(iii) Highest oxidation state of a metal is shown in its oxide or fluoride only. Justify the statement.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:15:29', NULL),
(253599, '85,90,1065,2342', '<p>(i) Silver atom has completely filled d-orbitals in its ground state, it is still considered to be a transition element. Justify the statement.</p>\r\n\r\n<p>(ii) Why are&nbsp;<span class=\"equation\">\\(E_{M^{2+}/M}^0\\)</span>&nbsp;values of Mn and Zn more negative than expected?</p>\r\n\r\n<p>(iii) Why do transition metals form alloys?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:19:07', NULL),
(253600, '85,90,1065,2342', '<p>Give reasons for the following statements:</p>\r\n\r\n<p>(a) Copper does not displace hydrogen from acids.</p>\r\n\r\n<p>(b) Transition metals and most of their compounds show paramagnetic behaviour.</p>\r\n\r\n<p>(c) Zn, Cd and Hg are soft metals.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:20:07', NULL),
(253601, '85,90,1065,2342', '<p>(i) Why are melting points of transition metals high?</p>\r\n\r\n<p>(ii) Why the transition metals generally form coloured compounds?</p>\r\n\r\n<p>(iii) Why&nbsp;<span class=\"equation\">\\(E^0\\)</span>&nbsp;value for <span class=\"equation\">\\(Mn^{3+}/Mn^{2+}\\)</span>&nbsp;couple is highly positive?​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:22:10', NULL),
(253602, '85,90,1065,2342', '<p>Answer the following questions on the basis of the figure given below:</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759731842.png\" style=\"height:120px; width:206px\" /></p>\r\n\r\n<p>(i) Which element in 3d series has lowest enthalpy of atomisation?</p>\r\n\r\n<p>(ii) Why do metals of the second and third series have greater enthalpies of atomisation?</p>\r\n\r\n<p>(iii) Why are enthalpies of atomisation of transition metals quite high?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:25:20', NULL),
(253603, '85,90,1065,2342', '<p>Define transition metals. Why Zn, Cd and Hg are not called transition metals? How is the variability in oxidation states of transition metals different from that of p-block elements?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:26:16', NULL),
(253604, '85,90,1065,2342', '<p>Give reasons for the following statements:</p>\r\n\r\n<p>(a) Transition elements and their compounds act as good catalysts.</p>\r\n\r\n<p>(b)&nbsp;<span class=\"equation\">\\(E^{0}_{(Mn^{2+}/Mn)}\\)</span>value is highly negative as compared to other elements.</p>\r\n\r\n<p>(c)&nbsp;<span class=\"equation\">\\(Cr^{2+}\\)</span>&nbsp;is a srong reducing agent.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:43:16', NULL),
(253605, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>(a) Transition elements show variable oxidation states.</p>\r\n\r\n<p>(b)&nbsp;<span class=\"equation\">\\(E^{0}_{Cu^{2+}/Cu)}\\)</span>&nbsp;value for copper is highly positive​​​​​​​</p>\r\n\r\n<p>(c)&nbsp;<span class=\"equation\">\\(Cr^{2}\\)</span>&nbsp;is a strong reducing agent.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:45:32', NULL),
(253606, '85,90,1065,2342', '<p>Define transition elements. Write two characteristics of transition elements.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:45:55', NULL),
(253607, '85,90,1065,2342', '<p>Why is&nbsp;<span class=\"equation\">\\(E^0(Cu^{2+}|Cu)\\)</span>&nbsp;exceptionally positive? Although&nbsp;<span class=\"equation\">\\(Cu^{+}\\)</span>&nbsp;ion has <span class=\"equation\">\\(3d^{10}\\)</span>&nbsp;configuration, yet it is unstable in an aqueous solution. Why? What is the reason for the stability of&nbsp; <span class=\"equation\">\\(Cu^{2+}\\)</span>&nbsp;over&nbsp;<span class=\"equation\">\\(Cu^{+}\\)</span>&nbsp;ion?​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:48:57', NULL),
(253608, '85,90,1065,2342', '<p>Give reasons for the following:</p>\r\n\r\n<p>(i) Transition metals form alloys.</p>\r\n\r\n<p>(ii) Zinc has lowest enthalpy of atomization.</p>\r\n\r\n<p>(iii) Managanese shows higher oxidation state of +4 with fluorine but shows +7 with oxygen.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:49:57', NULL),
(253609, '85,90,1065,2342', '<p>Following ions are given:</p>\r\n\r\n<p><span class=\"equation\">\\(Cr^{2+}, Cu^{2+}, Cu^{+}, Fe^{2+}, Fe^{3+}, Mn^{3+}\\)</span></p>\r\n\r\n<p>Identify the ion which is</p>\r\n\r\n<p>(i) a strong reducing agent.</p>\r\n\r\n<p>(ii) unstable in aqueous solution.</p>\r\n\r\n<p>(iii) a strong oxidising agent.</p>\r\n\r\n<p>Give suitable reason in each.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:52:11', NULL),
(253610, '85,90,1065,2342', '<p>Give reasons:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(E^{0}\\)</span>&nbsp;value for <span class=\"equation\">\\(Mn^{3+}/Mn^{2+}\\)</span>&nbsp;couple is much more positive than that for <span class=\"equation\">\\(Fe^{2+}/Fe^{2+}\\)</span>​​​​​​​</p>\r\n\r\n<p>(ii) Iron has higher enthalpy of atomization than that of copper.</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Sc^{3+}\\)</span>&nbsp;is colourless in aqueous solution whereas&nbsp;<span class=\"equation\">\\(Ti^{3+}\\)</span>&nbsp;is coloured.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:54:38', NULL),
(253611, '85,90,1065,2342', '<p>Account the following:</p>\r\n\r\n<p>(i) Transition metals form large number of complex compounds.</p>\r\n\r\n<p>(ii) The lowest oxide of transition metal is basic whereas the highest oxide is amphoteric or acidic.</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(E^0\\)</span>&nbsp;value for the <span class=\"equation\">\\(Mn^{3+}/Mn^{2+}\\)</span>&nbsp;couple is highly positive (+1.57V) as compared to <span class=\"equation\">\\(Cr^{3+}/Cr^{2+}\\)</span>​​​​​​​​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 06:58:24', NULL),
(253612, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>(i) Mn shows the highest oxidation state of +7 with oxygen but with fluorine, it shows the highest oxidation state of +4.</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(Cr^{2+}\\)</span>&nbsp;is a strong reducing agent.</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Cu^{2+}\\)</span>&nbsp;salts are coloured, while <span class=\"equation\">\\(Zn^{2+}\\)</span>​​​​​​​ salts are white.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:00:04', NULL),
(253613, '85,90,1065,2342', '<p>Assign suitable reasons for the following:</p>\r\n\r\n<p>(i) The&nbsp;<span class=\"equation\">\\(Mn^{2+}\\)</span>compounds are more stable than <span class=\"equation\">\\(Fe^{2+}\\)</span>&nbsp;towards oxidation to their +3 state.​​​​​​​​​​​​​​</p>\r\n\r\n<p>(ii) In the 3d series from Sc(Z = 21) to Zn(Z = 30), the enthalpy of atomization of Zn is the lowest.</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Sc^{3+}\\)</span>is colourless in aqueous solution whereas <span class=\"equation\">\\(Ti^{3+}\\)</span>&nbsp;is coloured.​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:02:55', NULL),
(253614, '85,90,1065,2342', '<p>Assign reason for each of the following:</p>\r\n\r\n<p>(i) Manganese exhibits the highest oxidation state of +7 among the 3d series of transition elements.</p>\r\n\r\n<p>(ii) Transition metals and their compounds are generally found to be good catalysts in chemical reactions.</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Cr^{2+}\\)</span>&nbsp;is reducing in nature while with the same d-orbital configuration&nbsp;<span class=\"equation\">\\({(d^4)}\\)</span><span class=\"equation\">\\(Mn^{3+}\\)</span>&nbsp;is an oxidising agent.</p>\r\n\r\n<p>(iv) Zn has lowest enthalpy of atomization.</p>\r\n\r\n<p>(v)&nbsp;<span class=\"equation\">\\(Cu^{+}\\)</span>&nbsp;is unstable in an aqueous solution.</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:07:41', NULL),
(253615, '85,90,1065,2342', '<p>The elements of 3d transition series are given as</p>\r\n\r\n<p>SC&nbsp; &nbsp; Ti&nbsp; &nbsp;V&nbsp; &nbsp;Cr&nbsp; &nbsp;Mn&nbsp; &nbsp;Fe&nbsp; &nbsp;Co&nbsp; &nbsp; Ni&nbsp; &nbsp; &nbsp;Cu&nbsp; &nbsp; Zn</p>\r\n\r\n<p>Answer the following:</p>\r\n\r\n<p>(i) Write the element which shows maximum number of oxidation states, Give reason.</p>\r\n\r\n<p>(ii) Which element has the highest melting point?</p>\r\n\r\n<p>(iii) Which element shows only +3 oxidation state?</p>\r\n\r\n<p>(iv) Which element is a strong oxidising agent in +3 oxidation state and why?</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:09:35', NULL),
(253616, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>Chromates change their colour when kept in an acidic solution.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:10:03', NULL),
(253617, '85,90,1065,2342', '<p>Complete the following equation:</p>\r\n\r\n<p><span class=\"equation\">\\(3MnO^{2-}_{4} + 4H^{+}\\to \\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:12:20', NULL),
(253618, '85,90,1065,2342', '<p>Complete the following equation:</p>\r\n\r\n<p><span class=\"equation\">\\(2MnO^{-}_{4} + 6H^{+} + 5NO^{-}_{2} \\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:14:20', NULL);
INSERT INTO `questions` (`id`, `category_id`, `question`, `question_type`, `answer_type`, `subjective_ans`, `marks`, `time`, `added_by`, `status`, `current_url`, `created_at`, `updated_at`) VALUES
(253619, '85,90,1065,2342', '<p>Orange colour of&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_{7}\\)</span>&nbsp;ion changes to yellow when treated with an alkali. Why?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:15:12', NULL),
(253620, '85,90,1065,2342', '<p>Complete the following equation:</p>\r\n\r\n<p><span class=\"equation\">\\(MnO^{-}_{4} + 8H^{+} + 5e^{-}\\)</span><span class=\"equation\">\\(\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:16:16', NULL),
(253621, '85,90,1065,2342', '<p>Complete the followiing chemical equation:</p>\r\n\r\n<p><span class=\"equation\">\\(SO_2+MnO^{-}_{2} + H_2O\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:17:16', NULL),
(253622, '85,90,1065,2342', '<p>How would you acount for</p>\r\n\r\n<p>(a) The&nbsp;<span class=\"equation\">\\(E^{0}\\)</span>&nbsp;value for the&nbsp;<span class=\"equation\">\\(Mn^{3+}\\)</span>/<span class=\"equation\">\\(Mn^{2+}\\)</span>&nbsp;couple is much more positive than that for <span class=\"equation\">\\(Cr^{3}/Cr^{2+}\\)</span>&nbsp;couple or <span class=\"equation\">\\(Fe^{3+}/Fe^{2+}\\)</span>&nbsp;couple.​​​​​​​</p>\r\n\r\n<p>(b) Complete the following equation:</p>\r\n\r\n<p><span class=\"equation\">\\(2MnO^{-}_{4} + 16H^+ + 5C_2O^{2-}_4 \\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:22:36', NULL),
(253623, '85,90,1065,2342', '<p>Complete the following&nbsp;</p>\r\n\r\n<p>(a)&nbsp;<span class=\"equation\">\\(2MnO^{-}_{4} + 5NO^{-}_{2} + 6H^+\\to\\)</span></p>\r\n\r\n<p>(b)&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_7 + 14H^+6e^{-}\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:26:32', NULL),
(253624, '85,90,1065,2342', '<p>Write the balanced chemical equations involved in the preparation of&nbsp;<span class=\"equation\">\\(KMnO_{4}\\)</span>&nbsp;from pyrolusite ore (<span class=\"equation\">\\(MnO_2\\)</span>​​​)​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:28:47', NULL),
(253625, '85,90,1065,2342', '<p>Write the balanced ionic equations showing the oxidising action of acidified dichromate&nbsp;<span class=\"equation\">\\((Cr_2O^{2-}_7\\)</span>) solutions with (i) iron (II) and (ii) tin (II) ion.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:30:54', NULL),
(253626, '85,90,1065,2342', '<p>How do you prepare:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(K_2MnO_4\\)</span>&nbsp;from&nbsp;<span class=\"equation\">\\(MnO_2\\)</span>&nbsp;?​​​​​​​</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(Na_2Cr_2O_7\\)</span>&nbsp;from <span class=\"equation\">\\(Na_2CrO_4\\)</span>&nbsp;?​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:58:36', NULL),
(253627, '85,90,1065,2342', '<p>Explain all the steps along with the chemical equation which are used in the preparation of&nbsp;<span class=\"equation\">\\(K_2Cr_2O_7\\)</span>&nbsp;from chromite ore.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 07:59:28', NULL),
(253628, '85,90,1065,2342', '<p>When&nbsp;<span class=\"equation\">\\(MnO_2\\)</span>&nbsp;is fused with KOH in the presence of&nbsp;<span class=\"equation\">\\(KNO_3\\)</span>&nbsp;as an oxidising agent, it gives a dark green compound (A). Compound (A) disproportionates in acidic solution to give purple compound (B). An alkaline solution of compound (B) oxidises KI to compound (C) whereas an acidified solution of compound (B) oxidises KI to (D). Identify (A), (B), (C) and (D)</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:02:15', NULL),
(253629, '85,90,1065,2342', '<p>Complete and balance the following chemical equations:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Fe^{2+} + MnO^{-}_{4} + H^+\\to\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(MnO^{-}_{4} + H_2O+I^-\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:04:10', NULL),
(253630, '85,90,1065,2342', '<p>Complete the following equations:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(2MnO^-_4+16H^++5S^{2-}\\to\\)</span></p>\r\n\r\n<p>(ii)&nbsp; <span class=\"equation\">\\(KMnO_4\\)</span>​​​​​​​&nbsp; &nbsp;<span class=\"equation\">\\(\\underrightarrow{Heat}\\)</span></p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:08:14', NULL),
(253631, '85,90,1065,2342', '<p>When chromite ore&nbsp;<span class=\"equation\">\\(FeCr_2O_4\\)</span>&nbsp;is fused with NaOH in presence of air, a yellow coloured compound (A) is obtained which on acidification with dilute sulphuric acid gives a compound (B). Compound (B) on reaction with KCI forms an orange coloured crystalline compound (C).</p>\r\n\r\n<p>(i) Write the formulae of the compounds (A), (B) and (C)</p>\r\n\r\n<p>(ii) Write one use of compound (C)</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:10:11', NULL),
(253632, '85,90,1065,2342', '<p>Complete the following chemical equations:-</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(8MnO_{4}^{-} + 3S_2O^{2-}_3 + H_2O\\to\\)</span></p>\r\n\r\n<p>(ii)&nbsp;&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_7 + 3Sn^{2+} + 14H^+\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:17:12', NULL),
(253633, '85,90,1065,2342', '<p>Complete the following equations</p>\r\n\r\n<p><span class=\"equation\">\\(Cr_2O^{2-}_{7}\\)</span>&nbsp;+&nbsp;<span class=\"equation\">\\(14H^++6^-\\to\\)</span>&nbsp; ​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:19:27', NULL),
(253634, '85,90,1065,2342', '<p>Describe the oxidising action of potassium dichromate and write the ionic equations for its reaction with (i) an iodide (ii)&nbsp;<span class=\"equation\">\\(H_2S\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:20:07', NULL),
(253635, '85,90,1065,2342', '<p>Complete teh following equations:-</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_7 + 2OH^-\\to\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(MnO^{-}_4+4H^4+3e^-\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:21:39', NULL),
(253636, '85,90,1065,2342', '<p>Complete the following equations:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(2MnO^{-}_{4}+5S^{2-}+16H^+\\to\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_{7} + 2OH^-\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:23:09', NULL),
(253637, '85,90,1065,2342', '<p>What is the effect of pH on the solution of&nbsp;<span class=\"equation\">\\(K_2Cr_2O_7\\)</span>? Also give the structure of chromate and dichromate ion along with the colour of species.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:24:02', NULL),
(253638, '85,90,1065,2342', '<p>Explain the method of preparatino of sodium dichromate from chromite ore. Give the equation representing oxidation of ferrous salts by dichromate ion.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:24:51', NULL),
(253639, '85,90,1065,2342', '<p>When&nbsp;<span class=\"equation\">\\(FeCr_2O_4\\)</span>&nbsp;is fused with <span class=\"equation\">\\(Na_2CO_3\\)</span>&nbsp;in the presence of air it gives a yellow solution of compound (A). Compound (A) on acidification gives compound (B). Compound (B) on reaction with KCI forms an orange coloured compound (C). An acidified solution of compound (C) oxidises&nbsp;<span class=\"equation\">\\(Na_2SO_3\\)</span>&nbsp; to (D). Identify (A), (B), (C) and (D).​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:28:50', NULL),
(253640, '85,90,1065,2342', '<p>Complete the following reactions:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(MnO_2+KOH+O_2\\to\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(I^-+MnO^-_{4}+H^+\\to\\)</span></p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_7+Sn^{2+}+H^+\\to\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:30:52', NULL),
(253641, '85,90,1065,2342', '<p>(a) Account for the following:</p>\r\n\r\n<p>(i) Manganese shows maximum nuber of oxidation states in 3d series.</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(E^0\\)</span>&nbsp;value for&nbsp;<span class=\"equation\">\\(Mn^{3+}/Mn^{2+}\\)</span>couple is much more positive than that for <span class=\"equation\">\\(Cr^{3+}/Cr^{2+}\\)</span>​​​​​​​</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Ti^{4+}\\)</span>&nbsp;is colourless whereas <span class=\"equation\">\\(V^{4+}\\)</span>&nbsp;is coloured in an aqueous solution.​​​​​​​​​​​​​​</p>\r\n\r\n<p>(b) Write the chemical equations for the preparation of&nbsp;<span class=\"equation\">\\(KMnO_4\\)</span>&nbsp;from <span class=\"equation\">\\(MnO_2\\)</span>. Why does purple colour of acidified permanganate solution decolourise when it oxidises&nbsp;<span class=\"equation\">\\(Fe^{2+}\\)</span>&nbsp;to&nbsp;<span class=\"equation\">\\(Fe^{3+}\\)</span>​​​​​​​?&nbsp;​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:35:20', NULL),
(253642, '85,90,1065,2342', '<p>(a) Complete the following chemical reactions:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Na_2Cr_2O_7+KCI\\to\\)</span></p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(2MnO^-_{4} + 5SO^{2-}_3+6H^+\\to\\)</span>&nbsp;</p>\r\n\r\n<p>(b) How does the colour of&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_7\\)</span>&nbsp;change when treated with an alkali?</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:37:38', NULL),
(253643, '85,90,1065,2342', '<p>Give reason for the following</p>\r\n\r\n<p><span class=\"equation\">\\(Eu^{2+}\\)</span>&nbsp;is​​​​​​​ a stronger reducing agent.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:38:17', NULL),
(253644, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>Zr and Hf have almost similar atomic radii.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:38:33', NULL),
(253645, '85,90,1065,2342', '<p>Name a member of the lanthanoid series which is well known to exhibit +2 oxidation state</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:38:56', NULL),
(253646, '85,90,1065,2342', '<p>Name a member of the lanthanoid series which is well known to exhibit +4 oxidation state.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:39:21', NULL),
(253647, '85,90,1065,2342', '<p>What are the different oxidation states exhibited by the lanthanoids?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:39:43', NULL),
(253648, '85,90,1065,2342', '<p>(a) Write any two consequences of lanthanoid contraction.</p>\r\n\r\n<p>(b) Name the element of 3d series which exhibits the largest number of oxidation states. Give reason.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:40:48', NULL),
(253649, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>(i) Transition elements have higher enthalpies of atomisation.</p>\r\n\r\n<p>(ii) Separation of a mixture of Lanthanoid elements is difficult</p>\r\n\r\n<p>(iii) The&nbsp;<span class=\"equation\">\\(E^0_{M^{2+}/M}\\)</span>value for copper is positive</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:47:52', NULL),
(253650, '85,90,1065,2342', '<p>(i) Which is the most common oxidation state in Lanthanoids?</p>\r\n\r\n<p>(ii) Why is there a gradual decrease in the atomic sizes of transition metals in a series with increasing atomic numbers?</p>\r\n\r\n<p>(iii) Calculate the number of unpaired electrons in the following gaseous ions:</p>\r\n\r\n<p><span class=\"equation\">\\(V^{3+}, Ti^{3+}\\)</span>​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:49:45', NULL),
(253651, '85,90,1065,2342', '<p>(i) The electronic configuration of Ce is:</p>\r\n\r\n<p><span class=\"equation\">\\(_{58}Ce = [Xe]^{54}4f^15d^16s^2\\)</span></p>\r\n\r\n<p>Calculate the spin only magnetic moment of&nbsp;<span class=\"equation\">\\(Ce^{3+}\\)</span>ion.</p>\r\n\r\n<p>(ii) Why is copper regarded as a transition element although copper atom has completely filled d-orbitals its ground state?</p>\r\n\r\n<p>(iii) Why is&nbsp;<span class=\"equation\">\\(Sc^{3+}\\)</span>&nbsp;colourless in aqueous solution whereas <span class=\"equation\">\\(Ti^{3+}\\)</span>&nbsp;is coloured?​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:52:48', NULL),
(253652, '85,90,1065,2342', '<p>What is lanthanoid contraction? What are the consequences of lanthanoid contraction?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 08:56:51', NULL),
(253653, '85,90,1065,2342', '<p>(a) (i) Write the number of unpaired electrons in&nbsp;<span class=\"equation\">\\(Cr^{3+}. \\)</span>&nbsp;(Atomic number of Cr = 24)​​​​​​​</p>\r\n\r\n<p>(ii) Complete the reaction mentioning all the products formed:</p>\r\n\r\n<p><span class=\"equation\">\\(Cr_2O^{2-}_7+3H_2S+8H^+\\to\\)</span></p>\r\n\r\n<p>(b) Account for the following</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Mn^{2+}\\)</span>&nbsp;is more stable than&nbsp;<span class=\"equation\">\\(Fe^{2+}\\)</span>&nbsp;towards oxidation to +3 state.</p>\r\n\r\n<p>(ii) Copper has exceptionally positive&nbsp;<span class=\"equation\">\\(E^0_{M^{2+}/M}\\)</span></p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Eu^{2+}\\)</span>&nbsp;with electronic configuration [Xe} 4<span class=\"equation\">\\(f^76s^2\\)</span>&nbsp;is a strong reducing agent.​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:02:29', NULL),
(253654, '85,90,1065,2342', '<p>(a) Give reasons:</p>\r\n\r\n<p>(i) Transition metals and their compounds show catalytic acitivities.</p>\r\n\r\n<p>(ii) Separation of a mixture of Lanthanoid elements is difficult.</p>\r\n\r\n<p>(iii) Zn, Cd and Hg are soft and have low melting points.</p>\r\n\r\n<p>(b) Write the preparation of the following:</p>\r\n\r\n<p>(i)&nbsp;<span class=\"equation\">\\(Na_2Cr_2O_7\\)</span>&nbsp;from <span class=\"equation\">\\(Na_2CrO_4\\)</span>​​​​​​​</p>\r\n\r\n<p>(ii)&nbsp;<span class=\"equation\">\\(K_2MnO_4\\)</span>&nbsp;from <span class=\"equation\">\\(MnO_2\\)</span>​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:04:40', NULL),
(253655, '85,90,1065,2342', '<p>Give reasons:</p>\r\n\r\n<p>Actinoids show irregularities in their electronic configurations.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:05:00', NULL),
(253656, '85,90,1065,2342', '<p>How would you account for the following:</p>\r\n\r\n<p>Actinoid contraction is greater than lanthanoid contraction?</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:05:33', NULL),
(253657, '85,90,1065,2342', '<p>How would you account for the following:</p>\r\n\r\n<p>Actinoid contraction is greater than lanthanoid contraction?</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;OR</p>\r\n\r\n<p>Assign reasons for the following:</p>\r\n\r\n<p>From element to element actinoid contraction is greater than the lanthanoid contraction.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:06:07', NULL),
(253658, '85,90,1065,2342', '<p>Assign reasons for the following:</p>\r\n\r\n<p>From element to element actinoid contraction is greater than the lanthanoid contraction.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:06:12', NULL),
(253659, '85,90,1065,2342', '<p>Write one similarity and one difference between the chemistry of lanthanoid and actinoid elements.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:06:42', NULL),
(253660, '85,90,1065,2342', '<p>Chemistry of actinoids is complicated as compared to lanthanoids. Give two reasons</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:07:19', NULL),
(253661, '85,90,1065,2342', '<p>Give reasons for the following:</p>\r\n\r\n<p>Actinoids exhibit a greater range of oxidation states than lanthanoids.</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:07:47', NULL),
(253662, '85,90,1065,2342', '<p>Why do actinoids show a wide range of oxidation states? Write one similarity between the chemistry of lanthanoids and actinoids.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:08:33', NULL),
(253663, '85,90,1065,2342', '<p>With reference to structural variability and chemical reactivity, write the differences between lanthanoids and actinoids.</p>', 'Medium', 'textarea', '<p>na</p>', 2, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:09:15', NULL),
(253664, '85,90,1065,2342', '<p>Give three points of difference between lanthanoids and actinoids.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:09:34', NULL),
(253665, '85,90,1065,2342', '<p>Answer the following:</p>\r\n\r\n<p>(a) What is the general electronic configuration of lanthanoids?</p>\r\n\r\n<p>(b) What are the common oxidation states of Cerium (At. no. 58)?</p>\r\n\r\n<p>(c) Why do actinoids show a wide range of oxidation states?</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:10:45', NULL),
(253666, '85,90,1065,2342', '<p>(a) Why are fluorides of transition metals more stable in their higher oxidation state as compared to the lower oxidation state?</p>\r\n\r\n<p>(b) Which one of the following would feel attraction when placed in magnetic field:&nbsp;<span class=\"equation\">\\(Co^{2+}, Ag^+, Ti^{4+}, Zn^{2+}\\)</span></p>\r\n\r\n<p>(c) It has been observed that first ionisation energy of 5d series of transition elements are higher than that of 3d and 4d series, explain why?</p>\r\n\r\n<p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;OR</p>\r\n\r\n<p>On the basis of the figure given below, answer the following questions:</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759742183.png\" style=\"height:120px; width:137px\" /></p>\r\n\r\n<p>(a) Why manganese has lower melting point than chromium?</p>\r\n\r\n<p>(b) Why do transition metals of 3d series have lower melting points as compared to 4d series?</p>\r\n\r\n<p>(c) In the third transition series, identify and name the metal with the highest melting point.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:18:17', NULL),
(253667, '85,90,1065,2342', '<p>Account for the following:</p>\r\n\r\n<p>(a) Ti(IV) is more stable than the Ti(II) or Ti(III)</p>\r\n\r\n<p>(b) In case of transition elements, ions of the same charge in a given series show progressive decrease in radius with increasing atomic number.</p>\r\n\r\n<p>(c) Zinc is comparatively a soft metal, iron and chromium are typically hard.&nbsp;</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:20:37', NULL),
(253668, '85,90,1065,2342', '<p>Give reasons for the following:</p>\r\n\r\n<p>(i) Transition elements act as catalysts.</p>\r\n\r\n<p>(ii) It is difficult to obtain oxidation state greater than two for copper.</p>\r\n\r\n<p>(iii)&nbsp;<span class=\"equation\">\\(Cr_2O^{2-}_7\\)</span>&nbsp;is a strong oxidising agent in acidic medium whereas&nbsp;<span class=\"equation\">\\(WO_3\\)</span>&nbsp;and <span class=\"equation\">\\(MoO_3\\)</span>&nbsp;are not.​​​​​​​​​​​​​​</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:22:25', NULL),
(253669, '85,90,1065,2342', '<p>Observed and calculated values for the standard electrode potentials of elements from Ti to Zn in the first reactivity series are depicted in the given figure:</p>\r\n\r\n<p><img alt=\"\" src=\"https://school.achievam.com/upload/questionbank/question/que_1759742617.png\" style=\"height:120px; width:176px\" /></p>\r\n\r\n<p>Explain the following observations:</p>\r\n\r\n<p>(i) The general trend towards less negativve&nbsp;<span class=\"equation\">\\(E^{0}\\)</span>&nbsp;values across the series.</p>\r\n\r\n<p>(ii) The unique behaviour of copper.</p>\r\n\r\n<p>(iii) More negative&nbsp;<span class=\"equation\">\\(E^0\\)</span>&nbsp;values of Mn and Zn.</p>', 'Medium', 'textarea', '<p>na</p>', 3, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:25:16', NULL),
(253670, '85,90,1065,2342', '<p>Answer the following:</p>\r\n\r\n<p>(a) Why are all copper halides known except that copper iodide?</p>\r\n\r\n<p>(b) Why is the&nbsp;<span class=\"equation\">\\(E^{0}_{V^{3+}/V^{2+}}\\)</span>value for vanadium comparatively low?​​​​​​​</p>\r\n\r\n<p>(c) Why HCI should not be used for potassium permanganate titrations?</p>\r\n\r\n<p>(d) Explain the observations, at the end of each period, there is a slight increase in the atomic radius of d-block elements.</p>\r\n\r\n<p>(e) What is teh effect of pH on dichromate ion solution?</p>', 'Medium', 'textarea', '<p>na</p>', 5, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:28:27', NULL),
(253671, '85,90,1065,2342', '<p>The magnetic moment is associated with its spin angular momentum and orbital angular momentum. Spin only magnetic moment value of Cr&sup3;⁺ ion (Atomic no. : Cr = 24) is _______________.</p>', 'Medium', 'radio', NULL, 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:29:20', NULL),
(253672, '85,90,1065,2342', '<p>The elements of 3d transition series are given as:</p>\r\n\r\n<p>Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn</p>', 'Medium', 'textarea', '<p>na</p>', 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:29:42', NULL),
(253673, '85,90,1065,2342', '<p>Which one of the following first row transition elements is expected to have the highest third ionization enthalpy ?</p>', 'Medium', 'radio', NULL, 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:30:09', NULL),
(253674, '85,90,1065,2342', '<p>Two statements are given - one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below.</p>\r\n\r\n<p>Assertion (A) : Separation of Zr and Hf is difficult.<br />\r\nReason (R) : Zr and Hf have similar radii due to lanthanoid contraction.</p>', 'Medium', 'radio', NULL, 1, 1, 129, 1, 'https://school.achievam.com/quser/questions/doadd', '2025-10-06 09:30:45', NULL);

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