What is the Young's modulus and bulk modulus for a perfect rigid body?
(A) Young's modulus $(Y)$ is defined as $Y = \frac{F}{A} \times \frac{L}{\Delta L}$.
For a perfectly rigid body,the change in length $\Delta L$ is $0$ for any applied force.
Therefore,$Y = \frac{FL}{0} = \infty$ (infinite).
Bulk modulus $(B)$ is defined as $B = -\frac{P}{\Delta V / V}$.
For a perfectly rigid body,the change in volume $\Delta V$ is $0$ for any applied pressure.
Therefore,$B = \frac{PV}{0} = \infty$ (infinite).
For a perfectly rigid body,the change in length $\Delta L$ is $0$ for any applied force.
Therefore,$Y = \frac{FL}{0} = \infty$ (infinite).
Bulk modulus $(B)$ is defined as $B = -\frac{P}{\Delta V / V}$.
For a perfectly rigid body,the change in volume $\Delta V$ is $0$ for any applied pressure.
Therefore,$B = \frac{PV}{0} = \infty$ (infinite).
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