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  4. A light ray is incident on a transparent sphere of refractive index =√2, at an angle of incidence =45°. What is the deviation (in degree) of a tiny fraction of the ray, which enters the sphere, undergoes two total internal reflections and then refracts out into air?

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Q. A light ray is incident on a transparent sphere of refractive index $=\sqrt{2}$, at an angle of incidence $=45^{\circ}$. What is the deviation (in degree) of a tiny fraction of the ray, which enters the sphere, undergoes two total internal reflections and then refracts out into air?

Ray Optics and Optical Instruments

Solution:

$\delta=15^{\circ}+120^{\circ}+120^{\circ}+15^{\circ}=270^{\circ}$

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