AIIMS AIIMS Solved Paper-2010

  • question_answer
    A 12 HP motor has to be operated 8 h/day. How much will it cost at the rate of 50 paise/kWh in 10 days?

    A)  Rs 350                                 

    B)  Rs 358 

    C)         Rs 375                 

    D)         Rs 397

    Correct Answer: B

    Solution :

    If a motor of 12 HP works for 10 days at the rate of 8 h/day then Energy consumption \[=power\times time\] \[=12\times 746\frac{J}{s}\times (80\times 60\times 60)s\] \[=12\times 746\times 80\times 60\times 60J\] \[=2.5\times {{10}^{9}}J\] Rate of energy \[=50\frac{Paise}{kWh}\] \[\because \]\[3.6\times {{10}^{6}}J\] energy cost = Rs 0.5 \[\therefore \] \[2.5\times {{10}^{9}}\text{ }J\] energy cost \[=\frac{2.5\times {{10}^{9}}}{2\times 3.6\times {{10}^{6}}}\] \[=Rs358\]         


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