Question

The ratio of Young's modulus of the material of two wires is 2 : 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be

• A. 3 : 2
• B. 2 : 3
• C. 3 : 4
• D. 4 : 3

Answer 1

The correct option is A

3 : 2

Energy per unit volume = $\frac{(stress{)}^2}{2Y}$
$\frac{E_1}{E_2}=\frac{Y_2}{Y_1}$(Stress is constant) $\therefore \frac{E_1}{E_2}=\frac{3}{2}$