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An engine pumps water through a hose pip...

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of `2 ms^(1)`. The mass per unit length of water in the pipe is `100 kgm^(-1)`. What is the power of the engine?

A

800 W

B

400 W

C

200 W

D

100 W

Text Solution

Verified by Experts

The correct Answer is:
A
`P=Fv=mav= rhoV(v^2)/t=(rhoAlv^2)/(t)=rhoAv^3`
Mass per unit length `=m/l=(rhoV)/l=rhoA`
`:. P = (100)(2)^3 = 800W.`
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