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Question: Answered & Verified by Expert
If the Young's modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be
PhysicsMechanical Properties of SolidsJEE Main
Options:
  • A Zero
  • B Infinity
  • C $2 \times 10^{10} \mathrm{~N} / \mathrm{m}^2$
  • D $3 \times 10^{10} \mathrm{~N} / \mathrm{m}^2$
Solution:
1552 Upvotes Verified Answer
The correct answer is: Infinity
$\quad I=2 (\eta)(1+\sigma) \Rightarrow 3 \eta=2 (\eta)(1+\sigma)=\sigma=\frac{3}{2}-1=\frac{1}{2}$
Now substituting the value of $\sigma$ in the following expression.
$Y=3 K(1-2 \sigma) \Rightarrow K=\frac{Y}{3(1-2 \sigma)}=\infty$

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