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JEE Main 202228 JuneEvening Shift
Exam
JEE Main
Year
2022
Date
28 June
Shift
Evening Shift
Subject
Physics
Chapter
Work, Power and Energy

JEE Main 2022 · 28 June · Evening Shift · Physics · Work, Power and Energy

Water falls from a 40m high dam at the rate of 9 × 10 ^ 4 kg per...

Water falls from a 40m40m high dam at the rate of 9×104kg9 \times {10}^{4}kg per hour. Fifty percentage of gravitational potential energy can be converted into electrical energy. Using this hydro electric energy number of 100W100W lamps, that can be lit, is
(Take g=10ms−2g = 10{ms}^{- 2})

Options

  1. A2525
  2. B5050
  3. C100100
  4. D1818

Correct answer

B. 5050

Step-by-step solution

Since 5050 % efficiency is given, half of the energy of the falling water will be used by the bulbs. Therefore,

12∆mgh\Deltat=n×P⇒12×9×1043600×10×40=100n⇒n=50\dfrac{1}{2}\dfrac{∆ mgh}{\Deltat} = n \times P ⇒ \dfrac{1}{2} \times \dfrac{9 \times {10}^{4}}{3600} \times 10 \times 40 = 100n ⇒ n = 50

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