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For a uniform wire of length 3 m and cro...

For a uniform wire of length 3 m and cross sectional area `1mm^2`, 0.021 J of work is necessary to stretch it through 1mm. Calculate the Young's modulus for its material.

Text Solution

Verified by Experts

Work done, `W=1/2(Yal^2)/L`
or,`Y=(2WL)/(al^2)`
Here, W=0.021 J, `a=1 mm^2=10^-6 m^2,L=3m,L=1mm=10^-3m`
`thereforeY=(2times0.021times3)/(10^-6times(10^-3)^2)=1.26times10^11N.m^-2`
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