Question

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. $\frac{S}{2Y}$
• B. $\frac{2Y}{S^2}$
• C. $\frac{S^2}{2Y}$
• D. $2S^{2}Y$

Answer 1

The correct option is C $\frac{S^2}{2Y}$

Formula,

$Energy=\frac{1}{2}\times stress\times srain$

$=\frac{1}{2}\times S\times \frac{S}{Y}$

$=\frac{S^2}{2Y}$