JEE Main & Advanced Physics Elasticity Question Bank Youngs Modulus and Breaking Stress

  • question_answer
    The relationship between Young's modulus Y, Bulk modulus K and modulus of rigidity \[\eta \] is          [MP PET 1991; MP PMT 1997]

    A)                 \[Y=\frac{9\eta K}{\eta +3K}\]

    B)                             \[\frac{9YK}{Y+3K}\]

    C)                 \[Y=\frac{9\eta K}{3+K}\]

    D)                             \[Y=\frac{3\eta K}{9\eta +K}\]

    Correct Answer: A

    Solution :

        \[Y=3K(1-2\sigma )\text{ and}\ Y=2\eta (1+\sigma )\] Eliminating \[\sigma \] we get \[Y=\frac{9\eta K}{\eta +3K}\]


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