Question:

How much water a pump of 2 kW can raise in one minute to a height of 10 m? (take g = 10 m/s$^2$)

Updated On: May 4, 2024
  • 1000 litres
  • 1200 litres
  • 100 litres
  • 2000 litres
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The Correct Option is B

Solution and Explanation

The correct option is(B): 1200 litres

Power=\(\frac{work \,done}{time\, taken}=\frac{w}{t}\) 
but W - mass \(\times\) gravity \(\times\) height 
\(\therefore \, \, \, \, \, p=\frac{M \times g \times h}{t}\)
\(\Rightarrow \, \, \, \, M=\frac{P \times t}{g \times h}=\frac{2000 \times 60}{10 \times 10}=1200 \,kg.\) 
i.e. 1200 litres as one litre has a mass of 1 kg.

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