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Question

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $$1 $$ m/s. The mass per unit length of water in the pipe is $$100 $$ kg/ m. What is the power of the engine?


A
100 W
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B
400 W
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C
200 W
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D
800 W
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Solution

The correct option is A $$100$$ W
mass per unit length of water,  $$\mu  = 100kg/m$$
velocity of water $$V=1\,m/s$$
Power of the engine, $$p = \mu {v^3}$$
$$ = 100 \times {1^3}$$
$$ = 100W$$
Hence, option $$A$$ is the correct answer.

Physics

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