First slide

Power

Question

An electric pump is used to fill an overhead tank of capacity 9 m³ kept at a height 10 m above ground. If the pump takes 5 minutes to fill the tank by consuming 10 kW power, efficiency of the pump should be : $(g = 10 {ms}^{- 2})$

Moderate

A

60 %
B

40 %
C

20 %
D

30 %

Solution

$η = \frac{p_{0}}{p_{1}} = \frac{mgh / Δt}{10 kw} = \frac{9000 \times 10 \times 10}{5 \times 60} \times \frac{1}{10^{4}}$
$= 0.3 \Rightarrow 30 %$

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