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An engine pumps out water continuously t...

An engine pumps out water continuously through a hose with a velocity `v`. If `m` is the mass per unit length of the water jet, the rate at which the kinetic energy is imparted to water is

A

`(1)/(2) mv^(2)`

B

`(1)/(2) mv^(3)`

C

`m^(2) v^(2)`

D

`mv^(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Rate of kinetic energy
`KE = (d)/(dt) (1)/(2) Mv^2`
But `m= mL`
`KE = (1)/(2) (dm)/(dt) L v^(2) = (1)/(2) mv^(3)`
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