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A metallic wire is stretched by suspendi...

A metallic wire is stretched by suspending a weight of it. If `alpha` is the longitudinal strain and `Y` is its Young's modulus of elasticity, then slow that the elastic potential energy per unit volume is given by `1/2Yalpha^(2)`.

Text Solution

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Stress = Young's modules `xx` strain =`Yxxaplha`
`Elastic potential energy per unit volume is
`(DeltaU)/("volume")=1/2 stressxxstrain=1/2xxYaplhaxxaplha=1/2Yaplha^(2)`
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