RAJASTHAN PMT Rajasthan - PMT Solved Paper-2004

  • question_answer
    An increase in pressure required to decrease the 200 litres volume of a liquid by 0.004% in pipa is (Bulk modulus of the liquid = 2100 Mpa)            

    A)                          188 kPa                                   

    B)              8.4 kPa

    C)              18.8 kPa   

    D)                                    84 kPa

    Correct Answer: D

    Solution :

    Bulk modulus is given by \[K=\frac{\Delta P}{\Delta V/V}\]                             ?(i) Given : \[K=2100\,\times {{10}^{6}}\,Pa\,V=200\,lit.,\] \[\Delta V=200\times \frac{0.004}{100}=0.008\,\text{lit}\] Putting the given values in eq (i) \[2100\times {{10}^{6}}\frac{\Delta P}{0.008/200}\] so,          \[\Delta P=\frac{2100\times {{10}^{6}}\times 0.008}{200}\]                                          \[=84000Pa=84\times {{10}^{3}}\]                           \[=84kPa\]


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