A moving sphere P collides another sphere Q at rest. If the collision takes place along the line joining their centres of mass such that their total kinetic energy is conserved and the fraction of K.E transferred by the colliding particle is 89, the ratio of mass of P and the mass of Q is

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8:3

9 : 8

2 : 3

1 : 2

answer is D.

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Detailed Solution

89=4m1m2(m1+m2)2⇒ option verification then fraction of K.E retained is =m1-m22m1+m22= 1-89=19m1+m2m1-m2=31m1;m2=2:1

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