JEE Main Physics question

In an elastic head-on collision between two particles

(A)Velocity of separation is equal to the velocity of approachCorrect
(B)The velocity of the target is always more than the velocity of the projectile
(C)The maximum velocity of the target is double that of the projectile
(D)Maximum transfer of kinetic energy occurs when masses of both the projectile and target are equalCorrect

Answer: (A),(D)

Solution

For any elastic collision, the relative velocity of separation equals the relative velocity of approach (coefficient of restitution ) — a universal result, so

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Question ID VK-158638