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

By momentum conservation (considering 'N particles of mass `m+` mass M' as system)
`mV xx N =(Nm +M)V'`