A continuous stream of particles, of mass `m` and velocity `r`, is emitted from a source at a rate of `n` per second. The particles travel along a straight line, collide with a body of mass `M` and get embedded in the body. If the mass `M` was originally at rest, its velocity when it has received `N` particles will be

Options

A. `(mnN)/(Nm+M)`
B. `(mvN)/(NM+M)`
C. `(mv)/(Nm+M)`
D. `(Nm+M)/(NM)`

Answer

B

Explanation

Momentum of all particle scoliding `=` final momentum
`impliesmNv=(M+mN)v_(1)`
`v_(1)=(mvN)/(M+mN)`