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Newton's Law of Gravitation

The power of ...

Question

The power of water pump is $4 k W .$ If $(g = 10 m s^{- 2}),$ the amount of water it can raise in $1$ minute to a height of $20 m$ is:

100

litre

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1000

litre

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1200

litre

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2400

litre

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Solution

The correct option is D $2400$ litre
Solution Let the amount of water Lifting in 1 min
be m. Then,
work done in lifting $= m g h = m (10) (20)$
we know,
Power $= \frac{w o r k d o n e}{T i m e t a k e n} = \frac{m (200)}{60 s}$

$\Rightarrow 4 \times 10^{3} = m \frac{(200)}{60}$

$\Rightarrow m = (60) (40) = 2400 k g$

Volume of water = $(d e n s i t y)^{- 1} (m a s s)$

$V = (1 k g 1 l t)^{- 1} (2400 k g)$

$V = 2400 l t .$

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