Question

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

• A. Zero
• B. Infinity
• C.
• D.

Answer 1

The correct option is B

Infinity

$Y=2\eta (1+\sigma )\Rightarrow 3\eta =2\eta (1+\sigma )\Rightarrow \sigma =\frac{3}{2}-1=\frac{1}{2}$
Now substituting the value of $sigma$ in the following expression.
$Y=3K(1-2\rho )\Rightarrow K=\frac{Y}{3(1-2\sigma )}=\infty$