A gun fires a small bullet with kinetic energy K. Then kinetic energy of the gun while recoiling is

Options

A. K
B. more than K
C. less than K.
D. `sqrtK`

Answer

c

Explanation

Momentum of Gun in backward direction is equal tomomentum of bullet in forward direction.
`i.e. MV = - mv`
Now K.E. of bullet `E = ((-mupsilon)^(2))/(2m)`
and K.E. of Gun `E.=((Mupsilon)^(2))/(2M)=((mupsilon)^(2))/(2M)`
`:.` Since `Mgtm`
.Kinetic energy of Gun is less than K.E. of bullet.