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An electric p...

Question

An electric pump is used to fill an overhead tank of capacity $9 m^{3}$ kept at a height of $10 m$ above the ground. If the pump takes $5 m i n .$ to fill the tank by consuming $10 k W$ of power, the efficiency of the pump should be (Take $g = 10 m s^{- 2}$ )

60 %

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40 %

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20 %

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30 %

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Solution

The correct option is D $30 %$
$\begin{matrix} m a s s o f w a t e r r a i s e d = 1000 k g / m^{3} \times 9 m^{3} = 9000 k g P . \in= 9000 \times 10 \times 10 = 900000 J P o w e r = \frac{P . \in}{t} = 3000 w a t t E f f i c i e n c y = \frac{3 k w}{10 k w} = 0.3 \end{matrix}$

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