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Q.

A sphere A impinges directly on an identical sphere B at rest. If coefficient restitution is e, the ratio of velocities of A and B after collision is

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a

1−e1+e

b

1+e1−e

c

e1+e

d

2e1+e

answer is A.

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Detailed Solution

m1=m2=m v2=0coefficient of restitutionv2−v1u1−u2=e v2−v1=eu1…….(i)from conservation of momentummu1=mv1+mv2u1=v1+v2…………..(ii)v2+v1v2−v1=ev1v1=ev2v1=1+e1−ev1v2=1−e1+e
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