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    Find the efficiency of a pump (rated 400 W) that can lift 500 kg of water by 30 m in 10 minutes. (Use g = 10m/s²)
    Question

    Find the efficiency of a pump (rated 400 W) that can lift 500 kg of water by 30 m in 10 minutes. (Use g = 10m/s²)

    A.

    84.00%

    B.

    92.00%

    C.

    62.50%

    D.

    77.50%

    Correct option is C


    Input power = 400 W
    Mass of water lifted = 500 kg
    Height lifted = 30 m
    Time taken = 10 minutes = 600 seconds
    Acceleration due to gravity = 10 m/s²
    The useful power (output power) is the work done per second, i.e., the power required to lift the water.
    Work done = Potential Energy
    = mgh
    = 500 × 10 × 30
    = 150,000 Joules
    Since Power = Work/Time,
    Output Power = 150,000/600
    = 250 W
    η = 250/400 × 100 = 62.5%

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