Question
What is the Young's modulus for a perfect rigid body?

Answer

Young's modulus (Y) $=\frac{\text{F}}{\text{A}}\times\frac{\text{l}}{\Delta\text{l}}$
For a perfectly rigid body, change in length $\Delta\text{l}=0$
$\therefore\text{Y}=\frac{\text{F}}{\text{A}}\times\frac{\text{l}}{0}=\infty$
Therefore, Young's modulus for a perfectly rigid body is $\infty.$

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