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Q.

A sphere of mass m moving with a constant velocity v hits another stationary sphere of the same mass. If e is the coefficient of restitution, then the ratio of velocities of the two spheres, after the collision will be

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a

1/e

b

(1-e)/ (1+e)

c

e /(e+ 1)

d

(e+1)/e

answer is B.

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Detailed Solution

In case of collisionv2−v1u1−u2=e  or  v2−v1v=e ∴ v2−v1=ev  Further,  mv=mv1+mv2 V=V1+V2  Solving eas. (1) and (2). we get  V1V2=(1−e)(1+e)
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