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Question

Physics Question on mechanical properties of solids

If ????isstressand???? is stress and ???? is Young?? modulus of a wire material, then energy stored in the wire per unit volume, is

A

S22Y\frac{S^2}{2Y}

B

2YS2\frac{2Y}{S^{2}}

C

SY\frac{S}{Y}

D

2S2Y2S^{2}Y

Answer

S22Y\frac{S^2}{2Y}

Explanation

Solution

Given: Stress on the wire = SS and Young's modulus of the material =Y=Y Energy stored per unit volume =12×=\frac{1}{2} \times Stress ×\times Strain =12×S× Stress Y=12×S×SY=S22Y=\frac{1}{2} \times S \times \frac{\text { Stress }}{Y}=\frac{1}{2} \times S \times \frac{S}{Y}=\frac{S^{2}}{2 Y}