Problem

In Searle's experiment, which is used to find Young's modulus of elasticity, the diameter of experimental wire is

D = 0.05 \text{ cm}

(measured by a scale of least count

0.001 \text{ cm}

) and length is

L = 110 \text{ cm}

(measured by a scale of least count

0.1 \text{ cm}

). A weight of

50 \text{ N}

causes an extension of

l = 0.125 \text{ cm}

(measured by a micrometer of least count

0.001 \text{ cm}

). Find maximum possible error in the values of Young's modulus. Screw gauge and meter scale are free from error. (JEE 2004)