JEE Main & Advanced Physics Elasticity Question Bank Rigidity Modulus

  • question_answer
    If the Young's modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be

    A) Zero       

    B)                 Infinity

    C)                 \[2\times {{10}^{10}}\,N/{{m}^{2}}\]

    D)                             \[3\times {{10}^{10}}\,N/{{m}^{2}}\]

    Correct Answer: B

    Solution :

        \[Y=2\eta (1+\sigma )\] Þ \[3\eta =2\eta (1+\sigma )\]Þ\[\sigma =\frac{3}{2}-1=\frac{1}{2}\] Now substituting the value of s in the following expression.             \[Y=3K(1-2\sigma )\] Þ \[K=\frac{Y}{3(1-2\sigma )}=\infty \]


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