Q.

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

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a

Yx2

b

2 Yx2

c

12Y2x

d

12Yx2

answer is D.

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Detailed Solution

Energy stored per unit volume =12×Stress×Strain=12×Young's modulus ×(Strain)2=12×Y×x2
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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