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If S is stress and Y is Young's modulus ...

If S is stress and Y is Young's modulus of material of a wire, the energy stored in the wire per unit volume is

A

`2S^(2)Y`

B

`(S^(2))/(2Y)`

C

`(2Y)/(S^(2))`

D

`(S)/(2Y)`

Text Solution

Verified by Experts

The correct Answer is:
B
Young's modulus `= ("Stress")/("Strain")`
`rArr "strain" = (S)/(Y)`
`("Energy stored in wire")/("Volume") = (1)/(2) xx "Stress" xx "Strain"`
`= (1)/(2)S xx (S)/(Y) = (S^(2))/(2Y)`
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