An engine pumps water continously through a hose. Water leave the hose with a velocity `v` and `m` is the mass per unit length of the Water jet. What is the rate at Which kinetic energy is imparted to water?

Options

A. `(1)/(2)m^(2)upsilon^(2)`
B. `(1)/(2)m upsilon^(2)`
C. `m upsilon^(3)`
D. `(1)/(2)m upsilon^(2)`

Answer

B

Explanation

Rate at which mass of water is ejected `=m upsilon`
`:.` Rate at which K.E. is imparted
`=(1)/(2)(m upsilon)xxupsilon^(2)=(1)/(2)m upsilon^(3)`