First slide

Elastic behaviour of solids

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

Easy

A

3:2
B

2:3
C

3:4
D

4:3

Solution

Energy stored per unit volume $= \frac{(Stress)^{2}}{2 Y}$
$\frac{E_{1}}{E_{2}} = \frac{Y_{2}}{Y_{1}} (Stress is constant) \Rightarrow \frac{E_{1}}{E_{2}} = \frac{3}{2}$

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