JEE Main & Advanced Physics Elasticity Question Bank Rigidity Modulus

  • question_answer
    The Young's modulus of the material of a wire is \[6\times {{10}^{12}}\,N/{{m}^{2}}\] and  there is no transverse strain in it, then its modulus of rigidity will be

    A)                 \[3\times {{10}^{12}}\,N/{{m}^{2}}\]

    B)                             \[2\times {{10}^{12}}\,N/{{m}^{2}}\]

    C)                 \[{{10}^{12}}\,N/{{m}^{2}}\]

    D)                             None of the above

    Correct Answer: A

    Solution :

        \[Y=2\eta (1+\sigma )\] For no transverse strain (s = 0)             \[Y=2\eta \Rightarrow \eta =\frac{Y}{2}=3\times {{10}^{12}}N/{{m}^{2}}\]


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