What is the Bulk modulus for a perfect rigid body? - Vidyadip

Question

What is the Bulk modulus for a perfect rigid body?

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Answer

Bulk Modulus $=\frac{-\text{p(V)}}{\Delta\text{V}}$ as the perfect rigid body does not change it's shape even at infinite (deforming a stretching) force. Hence, $\Delta\text{V}=0$$\Rightarrow\ \text{B}=\frac{\text{pV}}{\Delta\text{V}}=\frac{\text{pV}}{0}=\propto$
So the bulk modulus is infinity.

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