<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>