A student performs an experiment to determine Young's modulus of a wire

PHYSICS · Subjective · CBSE · Physics · Mechanical Properties of Solids · Mechanical Properties of Solids

Problem

A student performs an experiment to determine Young's modulus of a wire, exactly

2\text{ m}

long, by Searle's method. In a particular reading, the student measures the extension of the wire to be

0.8\text{ mm}

with an uncertainty of

\pm0.05\text{ mm}

at a load of

1.0\text{ kg}

. The student also measures the diameter of the wire to be

0.4\text{ mm}

with an uncertainty of

\pm0.01\text{ mm}

. Take

g=9.8\text{ m/s}^2

exactly. Find Young's modulus of elasticity with limits of error.