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In a certain pump whose rated power is P...


In a certain pump whose rated power is P. ideal fluid of denstiy `rho` enters with speed `V_(0)` which lifts water upto height h through a pipe of uniform cross section area without discontinuity. Volumetric flow rate of the liquid is Q. Speed of fluid when it comes out of the pipe at point A is (Assume that pump works at 100 % efficiency and flow is streamline)

A

`sqrt((2P)/(Qrho)+V_(0)^(2)-2gh)`

B

`sqrt((2P)/(Qrho)+V_(0)^(2))`

C

`sqrt((2P)/(Qrho)+V_(0)^(2)+2gh)`

D

`sqrt((2P)/(Qrho)-V_(0)^(2)+2gh)`

Text Solution

Verified by Experts

The correct Answer is:
A
`P=(1)/(2)Qrho(V^(2)-V_(0)^(2))+rhoQgh`
`sqrt((2P)/(Qrho)-2gh+V_(0)^(2))=V`
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