Uttarakhand PMT Uttarakhand PMT Solved Paper-2010

  • question_answer
    An installation consisting of an electric motor driving a water pump lifts 75 L of water per second to a height of 4.7 m. If the motor consumes a power of 5 kW, then the efficiency of the installation is

    A)  39%          

    B)  69%

    C)  93%          

    D)  96%

    Correct Answer: B

    Solution :

     Power consumed by the motor = 5 kW \[=5\times {{10}^{3}}W\] \[=5000\text{ }W\] Power used in lifting the water \[=\frac{mgh}{t}\] \[=75\times 9.8\times 4.7\] \[=3454.5W\] \[\therefore \] Efficiency\[=\frac{power\text{ }used}{Power\text{ }consumed}\times 100%\] \[=\frac{3454.5}{5000}\times 100\approx 69%\]


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