Physics Elasticity Question 60

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

Options:

A) 3 : 2

B) 2 : 3

C) 3 : 4

D) 4 : 3

Show Answer

Answer:

Correct Answer: A

Solution:

Energy per unit volume = $ \frac{{{(\text{stress)}}^{r}}}{2Y} $

$ \frac{E _{1}}{E _{2}}=\frac{Y _{2}}{Y _{1}} $ (Stress is constant)\ $ \frac{E _{1}}{E _{2}}=\frac{3}{2} $