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Question

# Two particles moving initially in the same direction undergo a one dimensional, elastic collision. Their relative velocities before and after collision are â†’v1 and â†’v2. Then :

A
v1=v2
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B
v1=v2 only if the two are of equal mass
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C
v1=v2=v12
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D
v1.v2=v12
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Solution

## The correct options are A ∣∣→v1∣∣=∣∣→v2∣∣ C →v1=−→v2=∣∣→v1∣∣2 D ∣∣→v1.→v2∣∣=∣∣→v1∣∣2Because the collision is elastic, option A is correct.But option B is incorrect as a vector cannot be equated to a scalar.

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