Q. Power of water pump is $2\ kW$. If $g = 10\ m/\sec^{2}$, the amount of water it can raise in one minute to a height of $10\ m$ is
A) $2000\ litre$
B) $1000\ litre$
C) $100\ litre$
D) $1200\ litre$
Explanation
(d) $P = \frac{mgh}{t} \Rightarrow m = \frac{p \times t}{gh} = \frac{2 \times 10^{3} \times 60}{10 \times 10} = 1200\ kg$
As volume$\ = \frac{mass}{density} \Rightarrow v = \frac{1200kg}{10^{3}kg/m^{3}} = 1.2m^{3}$
Volume $= 1.2m^{3} = 1.2 \times 10^{3}\ litre = 1200litre$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.