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Solution


Q.

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 VA = 5 m/s, VB = 2 m/s, VC = 4 m/s. If we wait sufficiently long for elastic collision to happen, then VA = 4 m/s, VB = 2 m/s, VC = 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:           [2025]
1 Both (A) and (R) are true but (R) is NOT the correct explanation of (A)  
2 (A) is true but (R) is false  
3 Both (A) and (R) are true and (R) is the correct explanation of (A)  
4 (A) is false but (R) is true  

Ans.

(4)

In elastic collision for same mass, velocities interchange for

Final velocity

VA = 2 m/s

VB = 4 m/s

VC = 5 m/s