RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

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

    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 :

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


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