Question

A water pump of power $2kW$ is installed in a home. Then, the amount of water (in litres) it can raise in, one minute to a height of $10m$ is :
[Take $g=10m/s^2$]

• A. 200 L
• B. 1200 L
• C. 800 L
• D. 350

Answer 1

Answer: (B)

1200 L

Power $=\frac{mgh}{t}$

$\Rightarrow m=\frac{P\times t}{gh}$

$m=\frac{2\times {10}^3\times 60}{10\times 10}=1200kg$

Volume $=\frac{\text{Mass}}{\text{Density}}=\frac{1200}{{10}^3}=1.2m^3$

Volume $=1.2m^3=1.2\times {10}^{3}L=1200L$