A smooth ring is fixed horizontally on a smooth horizontal surface. From a point A of the ring, a particle is projected at an angle 'theta' to the radius vector at A. If the coefficient of restitution between the find and the particle is 0.5 and the particle returns to the point of projection A after two reflection, then cot^(2) theta is equal to

A smooth ring is fixed horizontally on a smooth horizontal surface. Fr

1.	A smooth ring is fixed horizontally on a smooth horizontal surface. From a point A of the ring, a particle is projected at an angle 'theta' to the radius vector at A. If the coefficient of restitution between the find and the particle is 0.5 and the particle returns to the point of projection A after two reflection, then cot^(2) theta is equal to
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