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NEET Sample Paper NEET Sample Test Paper-48

  • question_answer
    The compressibility of water is\[6\times 1{{0}^{-10}} {{N}^{-1}} {{m}^{2}}\]. If l(ltr) is subjected to a pressure of\[4\times 1{{0}^{7}} N / {{m}^{2}}\], the decrease in its volume is:

    A) 10cc                 

    B) 24cc   

    C) 15cc                             

    D) 12cc

    Correct Answer: B

    Solution :

    \[\operatorname{Compressibility} factor \left( K \right) = \frac{1}{\operatorname{B}}\] \[\operatorname{B}= \frac{1}{K}=\frac{1}{6\times 1{{0}^{-10}}{{N}^{-1}}{{m}^{2}}}\] \[\operatorname{B}=\frac{P}{-\frac{\Delta V}{V}}\] \[-\frac{\Delta V}{V}=\frac{P}{B}=\frac{4\times 107N/m}{\left[ \frac{1}{6\times 1{{0}^{-10}}} \right]{{\operatorname{N}}^{-1}}{{m}^{2}}}\] \[\frac{\Delta V}{V}=24\times 1{{0}^{-3}}L=24cc\Rightarrow \left[ {{10}^{-3}}\operatorname{L}=1cc \right]\]


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