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Question: The ratio of Young's modulus of the material of two wires is 2 : 3. If the same stress is applied on...

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

3 : 2

Explanation

Solution

Energy per unit volume =

E1E2=Y2Y1\frac { E _ { 1 } } { E _ { 2 } } = \frac { Y _ { 2 } } { Y _ { 1 } } (Stress is constant)∴ E1E2=32\frac { E _ { 1 } } { E _ { 2 } } = \frac { 3 } { 2 }