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NEET Sample Paper NEET Sample Test Paper-25

  • question_answer
    The approximate depth of an ocean is 2700 m. The compressibility of water is \[45.4\times {{10}^{-11}}\,P{{a}^{-1}}\] and density of water is\[{{10}^{3}}kg/{{m}^{3}}\]. What fractional compression of water will be obtained at the bottom of the ocean?

    A) \[0.8\times {{10}^{-2}}\]                     

    B) \[1.0\times {{10}^{-2}}\]

    C) \[1.2\times {{10}^{-2}}\]                     

    D) \[1.4\times {{10}^{-2}}\]  

    Correct Answer: C

    Solution :

     Bulk modulus \[|B|=\frac{\Delta p}{(\Delta V/V)}\] \[B=\frac{1}{Compresibility\,(K)}\] \[\frac{1}{K}=\frac{h\rho g}{\left( \frac{\Delta V}{V} \right)}\] \[\left( \frac{\Delta V}{V} \right)=(h\rho g)K\] \[\Rightarrow \]\[\frac{\Delta V}{V}=2.7\times {{10}^{3}}\times {{10}^{3}}\times 10\times 45.4\times {{10}^{-11}}\] \[=1.23\times {{10}^{-2}}\]


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