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Two identical balls A and B having veloc...

Two identical balls `A and B` having velocity of `0.5 m//s and -0.3 m//s` respectively collide elastically in one dimension. The velocities of `B and A` after the collision respectively will be

A

`+0.3` m/s and `+0.5` m/s

B

`-0.3` and `+0.5` m/s

C

`+0.5` m/s and `+0.3` m/s

D

`-0.5` ms and `+0.3` m/s

Text Solution

Verified by Experts

The correct Answer is:
B

Total momentum before collision
=Total momentum after collision
`therefore mxx v + 2m xx 0 =(2m + 2m)v'`
where v' is the velocity of the combined mass
`therefore mxx3 = 3m xx v' therefore v'=1` km/hour
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