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If x is the strain produced in a wire ha...

If x is the strain produced in a wire having the Young's modulus Y, then the strain energy per unit volume is

A

`(1)/(2) Y x`

B

`Y x^(2)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`("Strain energy")/("Volume") = (1)/(2) xx "stress" xx "strain"`
`= (1)/(2) xx Y xx "strain" xx "strain" = (1)/(2) Yx^(2)`
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