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JEE Main202228 Jun 2022Evening ShiftPhysicsWork, Power and EnergyActual

Water falls from a 40 m high dam at the rate of 9 × 10 4 kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydro electric energy number of 100 W lamps, that can be lit, is (Take g = 10 ms - 2 )

Options

  1. A25
  2. B50
  3. C100
  4. D18

Correct answer

B. 50

Step-by-step solution

Since 50 % efficiency is given, half of the energy of the falling water will be used by the bulbs. Therefore, 1 2 ∆ m g h Δ t = n × P ⇒ 1 2 × 9 × 10 4 3600 × 10 × 40 = 100 n ⇒ n = 50

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