A metallic wire is stretched by suspending a weight of it. If `alpha^(2)` 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//2Y^(2)`.
Text Solution
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Potential energy per unit volume`=(1/2)"Stress"xx"Strain"` `=(1/2)(Yxx"Strain")xx"Strain"` `=(1/2)Yalpha^(2)`
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CENGAGE PHYSICS-PROPERTIES OF SOLIDS AND FLUIDS-INTEGER_TYPE
