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$^2$)

• A. 1000 litres
• B. 1200 litres
• C. 100 litres
• D. 2000 litres

Answer 1

The Correct Option is B

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.