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)

Options

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)`

Answer

A

Explanation

`P=(1)/(2)Qrho(V^(2)-V_(0)^(2))+rhoQgh`
`sqrt((2P)/(Qrho)-2gh+V_(0)^(2))=V`