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NEET Sample Paper NEET Sample Test Paper-59

  • question_answer
    The approximate depth of an ocean is 2700m. The compressibility of water is \[45.4\times {{10}^{-11}}\text{ }P{{a}^{-1}}\] 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) \[1.4\times 10-2\]           

    B) \[0.8\times 10-2\]

    C) \[1\times {{10}^{-2}}~\]         

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

    Correct Answer: D

    Solution :

    [d] Bulk modulus = \[\frac{1}{K}\] \[=\frac{1}{K(compressibility\,factor\,)}=\frac{1}{45.5\times {{10}^{-11}}}\] \[B=\frac{P}{-\frac{\Delta V}{V}}\] \[P=h\ell g\] \[\frac{\Delta V}{V}=\frac{P}{B}=\frac{h\ell g}{B}=\frac{2700\times {{10}^{3}}\times 10}{\frac{1}{45..4\times {{10}^{-11}}}}\] \[\frac{\Delta V}{V}2700\times {{10}^{4}}\times 45.4\times {{10}^{-11}}=1.22\times {{10}^{-2}}\]


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