Q.

A ball A moving with a certain velocity collides with another ball B of the same mass  at rest. If the coefficient of restitution is e, the ratio of the velocities of A and B just after the collision is

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a

1 + e / 1 - e

b

1 + e / 2

c

(1 - e )/ 2

d

1 - e / 1+ e

answer is D.

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Detailed Solution

Alternative Method : Conserving MomentummV1 + mV2 = mu1 + m X 0⇒ V1 + V2  = u1 ........................ (1)Also V2 - V1 / u1 = e ⇒ V2 - V1 = e u1 ................. (2)Sloving , V2 = (1+e) u1 / 2 ; (1+e) u1  / 2
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