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

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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

PhysicsMechanical Properties of SolidsJEE MainJEE Main 2005

Options:

A
$2 S^2 Y$
B
$S^2 / 2 Y$
C
$2 Y / S^2$
D
$S / 2 Y$

Solution:

2461 Upvotes Verified Answer

The correct answer is:
$S^2 / 2 Y$

$U=\frac{1}{2}$ stress $\times$ strain $=\frac{S^2}{2 Y}$

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