JEE Advanced 2012 Paper 1 Physics Q4

Physics · Foundations & Measurement

Problem

In the determination of Young's modulus

\left(Y=\frac{4MLg}{\pi l d^2}\right)

by using Searle's method, a wire of length

L=2\,\mathrm m

and diameter

d=0.5\,\mathrm{mm}

is used. For a load

M=2.5\,\mathrm{kg}

, an extension

l=0.25\,\mathrm{mm}

in the length of the wire is observed. Quantities

d

and

l

are measured using a screw gauge and a micrometer, respectively. They have the same pitch of

0.5\,\mathrm{mm}

. The number of divisions on their circular scale is 100. The contributions to the maximum probable error of the

Y

measurement