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VMMC VMMC Medical Solved Paper-2009

  • question_answer
    An electric pump is used to fill an overhead tank of capacity 9 m3 kept at a height of 10 m above the ground. If the pump takes 5 min to fill the tank by consuming 10 kW power the efficiency of the pump should be

    A)  60%      

    B)                                                         40%                      

    C)                         20%                                      

    D)                         30%

    Correct Answer: D

    Solution :

    Work done in raising water \[=mgh\] \[\therefore \]  W = (volume \[\times \] density) \[gh\] \[=(9\times 1000)\times 10\times 10\]                 \[\Rightarrow \]               \[W=9\times {{10}^{5}}J\]                 \[\therefore \]Useful power \[=\frac{work}{time}\,=\frac{9\times {{10}^{5}}}{5\times 60}\,=3\,kW\]                 \[\therefore \]Efficiency \[=\frac{3}{10}\times 100=30%\]           


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