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

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

Tardigrade Admin · Accepted Answer

Energy per unit volume =(( text Stress )2/2 Y) (E1/E2)=(Y2/Y1) (Stress is constant ) ⇒ (E1/E2)=(3/2)

Q. 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

$3 : 2$

$2 : 3$

$3 : 4$

$4 : 3$

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

Q. 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

3:2

2:3

3:4

4:3