Question

The power of a water pump is $5 \,KW$, the amount of water it can raise in $5$ minute to a height of $50 \,m$ is $\left( g =10 m / s ^{-2}\right)$

• A. $5 \times 10^{4} L$
• B. $10^{6} L$
• C. $3 \times 10^{5} L$
• D. $3 \times 10^{6} L$

Answer 1

Answer: (D)

$P=\frac{mgh}{t}=\frac{(\rho \times V) g h}{t}$
$ \Rightarrow \frac{P \times t}{\rho \times gh}=V$
$V=\frac{5 \times 10^{3} \times 5 \times 60}{10^{-3} \times 10 \times 50}$
$V=\frac{1500 \times 10^{6}}{500}=3 \times 10^{6} L$