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How much water per minute a pump of power $2 kW$ can raise to a height of $10 m$ ? Take $g = 10 m / s^{2} .$

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1200 kg

1400 kg

1100 kg

1300 kg

answer is A.

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Detailed Solution

The amount of water raised per minute by the pump is

1200 kg

.
Given, power of the pump

P = 2 kW

\Rightarrow P = 2000 W

Gravitational acceleration

g = 10 m / s^{2}

Hight

h = 10 m

We know,

Power = \frac{Work done}{Time}

The work done by the pump is given by the potential energy of the water.

\Rightarrow P = \frac{mgh}{t}

In terms of mass m the above formula becomes,

\Rightarrow m = \frac{pt}{gh}

….(1)
By putting the value given values in equation (1),

\Rightarrow m = \frac{2000}{(10 \times 10)}

\Rightarrow m = 20 kg / s

Mass of water

= 20 \times 60

= 1200 kg / \min

Therefore, the amount of water raised per minute by the pump is

1200 kg

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