Work Energy And Power Question 184
Question: Power of a water pump is 2 kW. If $ g=10m/{{\sec }^{2}} $ , the amount of water it can raise in one minute to a height of 10 m is [CBSE PMT 1990; Kerala PMT 2004]
Options:
A) 2000 litre
B) 1000 litre
C) 100 litre
D) 1200 litre
Show Answer
Answer:
Correct Answer: D
Solution:
P = $ \frac{mgh}{t} $ therefore m = $ \frac{p\times t}{gh}=\frac{2\times 10^{3}\times 60}{10\times 10} $
$ =1200 $ kg
As volume = $ \frac{mass}{density} $
therefore $ v=\frac{1200kg}{10^{3}kg/m^{3}}=1.2m^{3} $
Volume = $ 1.2m^{3}=1.2\times 10^{3}litre=1200\ litre $
