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A metallic rod of length l and cross-sec...

A metallic rod of length l and cross-sectional area A is made of a material of Young's modulus Y. If the rod is elongated by an amount y, then the work done is proportional to

A

y

B

`1//y`

C

`y^(2)`

D

`1//y^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`W= (1)/(2) xx` Stress `xx` Strain `xx` Volume
`= (1)/(2) xx Y xx ((y)/(l))^(2) xx Al rArr W prop y^(2)`
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