CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2007

  • question_answer
    An electric pump is used to fill an overhead tank of capacity \[9\,{{m}^{3}}\] 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 (Take \[g=10\text{ }m{{s}^{-2}}\])

    A)  60%                                      

    B)  40%                      

    C)  20%                      

    D)         30%

    E)  50%

    Correct Answer: D

    Solution :

    Work done in raising water \[=mgh\] or     \[W=(volume\times density)gh\] \[=(9\times 1000)\times 10\times 10\] or            \[W=9\times {{10}^{5}}J\] \[\therefore \]Useful power                 \[=\frac{work}{t}=\frac{9\times {{10}^{5}}}{5\times 60}=3\,kW\] Hence, \[efficiency=\frac{useful\text{ }power}{consuming\text{ }power}\]                 \[=\frac{3}{10}=30%\]


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