JEE Main & Advanced Physics Elasticity Question Bank Bulk Modulus

  • question_answer
    A ball falling in a lake of depth 200 m shows 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball                                          [AFMC 1997]

    A)                                 \[19.6\times {{10}^{8}}\,N/{{m}^{2}}\]                

    B)                                             \[19.6\times {{10}^{-10}}\,N/{{m}^{2}}\]                

    C)                                 \[19.6\times {{10}^{10}}\,N/{{m}^{2}}\]                

    D)                                             \[19.6\times {{10}^{-8}}\,N/{{m}^{2}}\]

    Correct Answer: A

    Solution :

                        \[B=\frac{\Delta p}{\Delta V/V}=\frac{h\rho g}{0.1/100}=\frac{200\times {{10}^{3}}\times 9.8}{1/1000}\]             \[=19.6\times {{10}^{8}}N/{{m}^{2}}\]            


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