A pump is designed as a horizontal cylinder with a piston of areal `A` and and outlet orifice of areal a arranged mear the cylinder axis. Find the velocity of out flow of the liquid from the pump if the piston moves with a constant velocity under the action of a constant force F. The density of the liquid is `rho`.

Options

A. `sqrt((F)/(Arho))`
B. `sqrt((2F)/(A rho))`
C. `sqrt((A rho)/(F))`
D. `sqrt((A rho)/(2F))`

Answer

B

Explanation

`Deltap=(F)/(A)`. Difference in pressure energy is equal to difference in kinetic energy.
`therefore (F)/(A)=(1)/(2)rho v^(2) " or" v=sqrt((2F)/(rho A))`