Two balls `A` & `B` of mass `m_(1)` and `m_(2)` are kept on a horizontal smooth surface. A is given a velocity towards `B` so that they perform head on collision

Options

A. If `m_(1)=m_(2)` and collision is elastic. A stops and `B` moves with the velocity of `A` after collision
B. Impulses on `A` and `B` during collision are same in magnitude whether it is elastic or inelastic collision
C. Impulses on `A` and `B` collision are equal in magnitude only if `m_(1)=m_(2)`
D. If `m_(1)gtm_(2)`, though impulses are same in magnitude velocity of `A` is still the same direction.

Answer

A, B, D

Explanation

Impulse exist in action reaction pair during collision so magnitude will remain the same.
(a) Elastic collision principle
(b) Internal force
(c) If `m_(1)gt gt gt m_(2)`
Direction of velocity of motion does not change
`vecv_(1)(1+e)vecv_(c)=evecv_(1)(vecv_(c)~~vecv_(1))`
`vecv_(1)=vecv_(c)`