question_answer

A ray is incident on a glass sphere as shown. The opposite surface of the sphere is partially silvered. If the net deviation of the ray transmitted at the partially silvered surface is \[\frac{1}{3}rd\]of the net deviation suffered by the ray reflected at the partially silvered surface (after emerging out of the sphere). The refractive index of the sphere \[\frac{a}{\sqrt{3}}\]then the value of a is.

Answer:

3.00