Question:
The Young?s modulus of a perfectly rigid body is
The Young?s modulus of a perfectly rigid body is
Updated On: Sep 4, 2024
- unity
- zero
- infinity
- some finite non-zero constant
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The Correct Option is C
Solution and Explanation
From Hooke's law, Young modulus $Y=\frac{\text { Stress }}{\text { Strain }}$
The Strain produced in a perfectly rigid body is zero
i.e Strain $=0$
$\therefore Y =\frac{\text { Stress }}{0} $
$ \Rightarrow Y =\infty$
Thus the Young's modulus of perfectly rigid body material is infinite.
The Strain produced in a perfectly rigid body is zero
i.e Strain $=0$
$\therefore Y =\frac{\text { Stress }}{0} $
$ \Rightarrow Y =\infty$
Thus the Young's modulus of perfectly rigid body material is infinite.
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Concepts Used:
Hooke’s Law
Hooke’s Law states that for small deformities, the stress and strain are proportional to each other. Thus,
Stress ∝ Strain
Stress = k × Strain … where k is the Modulus of Elasticity.
When a limited amount of Force or deformation is involved then concept of Hooke’s Law is only applicable . If we consider the fact, then we can deviate from Hooke's Law. This is because of their extreme Elastic limits.