Solveeit Logo
Login

Question

Question: If S is stress and Y is Young’s modulus of material of a wire, the energy stored in the wire per uni...

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

A

2S2Y

B

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

C

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

D

S2Y\frac{S}{2Y}

Answer

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

Explanation

Solution

U = 12stress×strain=12×S×SY=S22Y\frac{1}{2}stress \times strain = \frac{1}{2} \times S \times \frac{S}{Y} = \frac{S^{2}}{2Y}