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If x longitudinal strain is produced in ...

If x longitudinal strain is produced in a wire of Young's modulus y, then energy stored in the material of the wire per unit volume is

A

`(3YA)/(2)`

B

`(1)/(2)YA^(2)`

C

`(YA)/(2)`

D

2YA

Text Solution

Verified by Experts

The correct Answer is:
B
Energy stored per unit volume `=(1)/(2) xx` Strain `xx` Stress `=(1)/(2) xx` Young's Modulus `xx ("strain")^(2)`
`=(1)/(2) Y xx A^(2)`
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