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NEET 2021
Exam
NEET
Year
2021
Subject
Physics
Chapter
Work, Power and Energy

NEET 2021 · Physics · Work, Power and Energy

Water falls from a height of 60m at the rate of 15kg s ^ - 1 to...

Water falls from a height of 60m60m at the rate of 15kgs−1tooperateaturbine.Thelossesduetofrictionalforceare15kg{s}^{- 1} to operate a turbine. The losses due to frictional force are10 %oftheinputenergy.Howmuchpowerisgeneratedbytheturbine?(g=10ms−2)of the input energy. How much power is generated by the turbine? \left(g = 10m{s}^{- 2}\right )

Options

  1. A10.2kW10 . 2kW
  2. B12.3kW12 . 3kW
  3. C8.1kW8 . 1kW
  4. D7.0kW7 . 0kW

Correct answer

C. 8.1kW8 . 1kW

Step-by-step solution

Change in potential energy of water per second =15×g×60= 15 \times g \times 60

=9000Js−1= 9000J{s}^{- 1}

Energy remaining per second after loss =90= 90 % of 9000Js−19000J{s}^{- 1}

=(90100)×9000= \left(\dfrac{90}{100}\right) \times 9000

=8100Js−1= 8100J{s}^{- 1}

=8.1kW= 8 . 1kW

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