JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Self Evaluation Test - Work, Energy and Power

  • question_answer
    Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of energy. How much power is generated by the turbine?\[\left(  g = 10 m/{{s}^{2}} \right)\]

    A) 8.1 k W

    B) 10.2 kW

    C) 12.3 k W

    D) 7.0 kW

    Correct Answer: A

    Solution :

    [a] Given, \[\operatorname{h}= 60m, g= 10m{{s}^{-2}},\] Rate of flow of water = 15 kg/s \[\therefore \]  Power of the falling water \[=15kg{{s}^{-1}}\times  10m{{s}^{-2}}\times 60m=900watt.\] Loss in energy due to friction \[= 9000\times \frac{10}{100}= 900 watt.\] \[\therefore \] Power generated by the turbine \[=(9000-900)watt=8100\text{ }watt=8.1\text{ }kW\]


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