Question:
The power of a water pump is 2 kW. If \( g = 10 \text{ m/s}^{2} \),
the amount of water it can raise in one minute to a height of 10 m is:
The power of a water pump is 2 kW. If \( g = 10 \text{ m/s}^{2} \),
the amount of water it can raise in one minute to a height of 10 m is:
Show Hint
Power is the rate of doing work ($Work / Time$).
Updated On: Apr 8, 2026
- 2000 liters
- 1000 liters
- 1200 liters
- 100 liters
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The Correct Option is C
Solution and Explanation
Step 1: Concept
Power $P = \frac{mgh}{t}$.
Step 2: Analysis
$P = 2000 \text{ W}, t = 60 \text{ s}, g = 10 \text{ m/s}^{2}, h = 10 \text{ m}$. $2000 = \frac{m \times 10 \times 10}{60} \Rightarrow m = \frac{2000 \times 60}{100}$.
Step 3: Conclusion
$m = 1200 \text{ kg}$. Since 1 kg of water $\approx$ 1 liter, the amount is 1200 liters.
Final Answer: (C)
Power $P = \frac{mgh}{t}$.
Step 2: Analysis
$P = 2000 \text{ W}, t = 60 \text{ s}, g = 10 \text{ m/s}^{2}, h = 10 \text{ m}$. $2000 = \frac{m \times 10 \times 10}{60} \Rightarrow m = \frac{2000 \times 60}{100}$.
Step 3: Conclusion
$m = 1200 \text{ kg}$. Since 1 kg of water $\approx$ 1 liter, the amount is 1200 liters.
Final Answer: (C)
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