JEE MAIN - Physics (2020 - 2nd September Evening Slot - No. 23)

A light ray enters a solid glass sphere of refractive index $$\mu $$ = $$\sqrt 3 $$ at an angle of incidence 60o. The ray is both reflected and refracted at the farther surface of the sphere. The angle (in degrees) between the reflected and refracted rays at this surface is ________.
Answer
90

Explanation

JEE Main 2020 (Online) 2nd September Evening Slot Physics - Geometrical Optics Question 147 English Explanation

By Snell's law at S1 :

1 $$ \times $$ sin 60° = $$\sqrt 3 $$ sin r

$$ \Rightarrow $$ r = 30o

As S2 :

$$\sqrt 3 \sin r = 1\sin e$$

$$ \Rightarrow $$ e = 60o

Now, r + $$\theta $$ + e = 180o

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