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) $2×{10}^{10}N/{m}^{2}$                           (d) $3×{10}^{10}N/{m}^{2}$

(b) $Y=2\eta \left(1+\sigma \right)⇒3\eta =2\eta \left(1+\sigma \right)⇒\sigma =\frac{3}{2}-1=\frac{1}{2}$

Now substituting the value of s in the following expression.

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

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