Work Energy And Power Ques 39

39. 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

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Answer:

Correct Answer: 39.(b)

Solution:

  1. (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.