Work Energy and Power - Result Question 41

44. How much water, a pump of $2 kW$ can raise in one minute to a height of $10 m$, take $g=10$ $m / s^{2}$ ?

[1990]

(a) 1000 litres

(b) 1200 litres

(c) 100 litres

(d) 2000 litres

Topic 4: Collisions

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Answer:

Correct Answer: 44. (b)

Solution:

(b) $P=\frac{W}{t}$. Here, $P=2 kW=2000 W$. $W=Mgh=M \times 10 \times 10=100 M$ and $t=60 s$.

This gives, $M=1200 kg$

Its volume $=1200$ litre as 1 litre of water contains $1 kg$ of its mass.