JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Power

  • question_answer
    An engine pumps up 100 kg of water through a height of 10 m in 5 s. Given that the efficiency of the engine is 60% . If \[g=10m{{s}^{-2}}\], the power of the engine is            [DPMT 2004]

    A)             \[3.3kW\]        

    B)             \[0.33kW\]

    C)               \[0.033kW\]

    D)               \[33kW\]

    Correct Answer: A

    Solution :

                Work output of engine = mgh = \[100\times 10\times 10={{10}^{4}}J\] Efficiency (h) = \[\frac{\text{output}}{\text{input}}\] \ Input energy = \[\frac{\text{outupt}}{\eta }\] \[=\frac{{{10}^{4}}}{60}\times 100=\frac{{{10}^{5}}}{6}J\] \ Power = \[\frac{\text{input energy}}{\text{time}}\]= \[\frac{{{10}^{5}}/6}{5}=\frac{{{10}^{5}}}{30}=3.3\ kW\]


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