Work Energy And Power Question 292

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

Options:

A) 60%

B) 40%

C) 20%

D) 30%

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ P _{out}=\frac{mgh}{t}=\frac{9000\times 10\times 10}{5\times 60}=3600W $

$ P _{in}=10\times 10^{3}w. $

$ \therefore \eta =\frac{P _{out}}{P _{in}}\times 100=\frac{3000}{10\times 10^{3}}\times 100=30% $



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