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A pump is designed as a horizontal cylin...

A pump is designed as a horizontal cylinder with a piston of area `A` and and outlet orifice of area `a` arranged near 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`.

A

`sqrt((F)/(Arho))`

B

`sqrt((2F)/(A rho))`

C

`sqrt((A rho)/(F))`

D

`sqrt((A rho)/(2F))`

Text Solution

Verified by Experts

The correct Answer is:
B
`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))`
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