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. `(mvn)/(Nm + n)`
B. `(mvN)/(Nm + M)`
C. `(mv)/(Nm + M)`
D. `(Nm + M)/(mv)`

Answer

B

Explanation

`Nmv = (M + Nm)v_(f) rArr v_(f) = (mvN)/(M + Nm)`