VMMC VMMC Medical Solved Paper-2006

  • question_answer
    When a sphere is taken to bottom of sea 1 km deep, it contracts by 0.01%. The bulk modulus of elasticity of the material of sphere is :(Given : Density of water \[=1\,g/\,c{{m}^{3}}\])

    A) \[9.8\times {{10}^{10}}N/{{m}^{2}}\]     

    B) \[10.2\times {{10}^{10}}N/{{m}^{2}}\]

    C)        \[0.98\times {{10}^{10}}N/{{m}^{2}}\]

    D)        \[8.4\times {{10}^{10}}N/{{m}^{2}}\]

    Correct Answer: A

    Solution :

    Bulk modulus\[B=\frac{\Delta P}{\frac{-\Delta V}{V}}\] \[\frac{-\Delta V}{V}=\frac{0.01}{100}={{10}^{-4}}\] \[\Delta P=\]pressure of water \[h\rho g\] \[={{10}^{3}}\times 1\times {{10}^{3}}\times 9.8\] \[\Delta P=9.8\times {{10}^{6}}\] \[B=\frac{9.8\times {{10}^{6}}}{{{10}^{-4}}}=9.8\times {{10}^{10}}\,N/{{m}^{2}}\]


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