A moving sphere `P` collides another sphere `Q` at rest. If the collision takes place along the line joining their centers of mass such that their total kinetic enegry is conserved and the fraction of `K.E` transferred by the colliding particle is `(8)/(9)`, then the mass of `P` and mass of `Q` bears a ratio

Options

A. `sqrt(8) : 3`
B. `9 : 8`
C. `2 : 3`
D. `2 : 1`

Answer

D

Explanation

`(4m_(1)m_(2))/((m_(1)+m_(2))^(2)) =(8)/(9)`, find `m_(1)` and `m_(2)`.