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

Answer: (B)

1200 litres

Answer 2

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.