Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) :
Three identical spheres of same mass undergo one dimensional motion as shown in figure with initial velocities $v_{A} = 5 m / s, v_{B} = 2 m / s, v_{C} = 4 m / s$ If we wait sufficiently long for elastic collision to happen, then $v_{A} = 4 m / s, v_{B} = 2 m / s, v_{C} = 5 m / s$ will be the final velocities.
Reason (R) : In an elastic collision between identical masses, two objects exchange their velocities.
In the light of the above statements, choose the correct answer from the options given below :

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Both (A) and (R) are true and (R) is the correct explanation of (A).

(A) is true but (R) is false

(A) is false but (R) is true

Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

answer is D.

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Detailed Solution

In elastic collision for same mass, velocities interchange
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$V_{A}^{'} = 2 m / s V_{B}^{'} = 4 m / s V_{C}^{'} = 5 m / s$

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