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Two equal spheres A and B lie on a smooth horizontal circular groove at opposite ends of a diameter. At time t = 0, A is projected along the groove and it first impinges on B at time t = T1 and again at time t = T2. lf e is the coefficient of restitution, the ratio T2T1 is

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a

2e

b

(2+e)2

c

2(e+1)e

d

(2+e)e

answer is D.

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Detailed Solution

T1 = πRu1-------(1)Time taken to collide A and B again:T2-T1 = 2πRv2-v1    ⇒ T2 - T1 = 2πReu1 ----(2)(2) + (1) ⇒ T2T1 = 2+ee
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Two equal spheres A and B lie on a smooth horizontal circular groove at opposite ends of a diameter. At time t = 0, A is projected along the groove and it first impinges on B at time t = T1 and again at time t = T2. lf e is the coefficient of restitution, the ratio T2T1 is