Q. Consider two particles of equal mass . If one particle is stationary while the other collides with this particle obliquely with velocity . Now, what is the angle between the velocity vectors of the two particles after the collision?

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A

B

C

D

none of these

Solution:

Given that mass of each particle
initial velocity of one moving particle
initial velocity of other particle (because it is stationary)
Let after collision,
One particle moves with velocity with angle w.r.t. axis,
and other particle moves with velocity with angel w.r.t. axis.
Now, by momentum conservation in direction
(initial momentum) along axis. = (final momentum) along axis

Now, by momentum conservation in direction

and by law of conservation of kinetic energy

Addition of square of eq. (1) and eq. (2)

Using eq. (3)

So, angle between the velocity vectors of the two particles after the collision is 90°.
Correct option (3)

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