Physics - Elasticity Question with Solution | TestHub

Since, we know,

$Y=2\eta \left(1+\sigma \right)$...(i)

Where,$Y=$Young's modulus and$\eta =$modulus of rigidity.

Given,$Y=3\eta$

From Equation (i), we get

$3\eta =2\eta \left(1+\sigma \right)$

$\Rightarrow 1+\sigma =\frac{3}{2}$

$\Rightarrow \sigma =1/2$

$\therefore$Bulk modulus,$K=\frac{Y}{3(1-2\sigma )}$

Thus,$K=\frac{Y}{3\left(1-2\times \frac{1}{2}\right)}=\frac{Y}{3(1-1)}=\infty$

Thus, volume elasticity is infinity.