A particle of mass `m` collides with another stationary particle of mass `M` such that the second particle starts moving and the first particle stops just after the collision. Then which of the following conditions must always be valid ?

Options

A. `m/Mle1`
B. `m/M=1`
C. `e=1`
D. `ele1`

Answer

A, D

Explanation

If nothing is given about the nature of collision, we can not presume it as perfectly elastic. Let `e` be the coefficient of restitution of collision. For inelastic collision `elt1`. The collision cannot be perfectly inelastic becaue the particles do not stick together after collision.

Just after collision
Conservation of linear momentum yields
`mv=Mv'implies(v')/v=m/M`
Since `e=(v')/v` (numerically)
`m/M=e`
Since `ele1,m/Mle1`
Hence a and d are correct.