CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    The Youngs modulus of a material is 3 times its modulus of rigidity, the volume elasticity is

    A)  zero                                     

    B)  infinity

    C)  \[2\times {{10}^{10}}N\text{-}{{m}^{2}}\]          

    D)  \[3\times {{10}^{10}}N\text{-}{{m}^{-2}}\]

    Correct Answer: B

    Solution :

                    We know that, \[y=2\eta \,(1+\sigma )\] \[\therefore \]  \[3\eta =2\eta \,(1+\sigma )\] \[\Rightarrow \]               \[\sigma =\frac{3}{2}-1=\frac{1}{2}\] Substituting the value ofo in the expression. \[Y=3K(1-2\sigma )\] \[K=\frac{Y}{3\,(1-2\sigma )}=\infty \]


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