<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>

<p>[Use g = 10&nbsp;<span class="equation">\(m/s^2\)</span>]</p>

<p><img alt="" src="https://school.achievam.com/upload/questionbank/question/que_1759566406.PNG" style="height:132px; width:128px" />​​​​​​​</p>