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Q.

Two billiard balls of same size and mass are in contact on a billiard table. A third ball of the same size and mass strikes symmetrically and then comes to rest right after the impact. The coefficient of restitution between the balls is

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a

12

b

32

c

23

d

94

answer is C.

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Detailed Solution

sinθ=r2r=12                     θ=30oFrom conservation of momentum  mu=2mvcos30o⇒V=u3e=vucos30o=u/33u2=23
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Two billiard balls of same size and mass are in contact on a billiard table. A third ball of the same size and mass strikes symmetrically and then comes to rest right after the impact. The coefficient of restitution between the balls is