People who keep guests out of their house

Geometry Level 4

A ray of light is traveling parallel to the diameter of a sphere through a hole at a point A as shown in the figure. The inner surface of the sphere is made perfectly reflecting. Find the number of reflections suffered by the ray before coming out of the sphere.

Details and assumptions:

The ray of light can come out of A only and at any angle with the incident ray.

This problem has been taken from FIITJEE GMP book.

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