Physics Elasticity Question 40

Question: If the Young’s modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be

Options:

A) Zero

B) Infinity

C) $ 2\times 10^{10},N/m^{2} $

D) $ 3\times 10^{10},N/m^{2} $

Show Answer

Answer:

Correct Answer: B

Solution:

$ Y=2\eta (1+\sigma ) $

Therefore $ 3\eta =2\eta (1+\sigma ) $

Therefore $ \sigma =\frac{3}{2}-1=\frac{1}{2} $ Now substituting the value of s in the following expression. $ Y=3K(1-2\sigma ) $

Therefore $ K=\frac{Y}{3(1-2\sigma )}=\infty $