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A continuous stream of particles, of mas...

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

A

`(m vN)/(Nm + n)`

B

`(m vN)/(Nm + M)`

C

`(mv)/(Nm + M)`

D

`(Nm + M)/(mv)`

Text Solution

Verified by Experts

The correct Answer is:
B
Momentum of all particle colliding = final momentum
`implies Nm v = (M + m N) v_1`
`v_1 = (m vN)/(M + mN)`
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