Power
An electric water pump raises 600 litres of water through a vertical height of 20 m every minute on a farm. Assuming no losses and taking g as 10 m/s squared, what is the minimum power output of the pump?
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About This Question
- Subject
- physics
- Chapter
- work, energy and power
- Topic
- power
- Difficulty
- Medium
- Year
- 2025
Solution
Correct Answer:
2000 W
As explained in NCERT Class 11, Chapter 6 (Work, Energy and Power), power is the rate of doing work, P = W/t, and for lifting water the work is the gain in potential energy mgh. Six hundred litres of water has a mass of 600 kg, since one litre of water is one kilogram. The work done per minute is W = mgh = 600 × 10 × 20 = 120000 J. This is delivered over 60 seconds, so P = 120000 / 60 = 2000 W. The option 1200 W comes from dividing by an incorrect time. The option 120000 W forgets to divide by time and gives total work, not power. The option 200 W misplaces a factor of ten. A unit check confirms joules per second gives watts, and 2000 W or 2 kW is a sensible rating for a small farm pump moving this much water each minute.
This medium difficulty physics question is from the chapter work, energy and power, covering the topic of power. It appeared in the 2025 exam.
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