MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    When a certain volume of water is subjected to 100kPa pressure, the volume of water decreases by 0.005%. The speed of sound in water must be

    A)  140 m/s                              

    B)  300 m/s

    C)  1400 m/s                            

    D)  5000 m/s

    Correct Answer: C

    Solution :

                     Bulk modulus \[K=\frac{\Delta p}{\frac{\Delta V}{V}}=\frac{100\times {{10}^{3}}}{0.005/100}=2\times {{10}^{9}}Pa\] Speed\[v=\sqrt{\frac{K}{d}}=\sqrt{\frac{2\times {{10}^{9}}}{{{10}^{3}}}}=\sqrt{2}\times {{10}^{3}}\] \[\Rightarrow \]               \[v=1.400\times {{10}^{3}}=1400\,m/s\]


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