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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

`Yx^(2)`

B

`2Yx^(2)`

C

`(1)/(2) Y^(2)x`

D

`(1)/(2) Yx^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Energy stored per unit volume `= (1)/(2) xx` Stress `xx` Strain
`= (1)/(2) xx Y xx ("Strain")^(2)= (1)/(2) xx Y xx x^(2)`
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