Question 331: Ray Optics

Question

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 ________.

Accepted Answer

By Snell's law at S
1
:
1 $$ 	imes $$ sin 60ÃÂ° = $$\sqrt 3 $$ sin r
$$ \Rightarrow $$ r = 30
o
As S
2
:
$$\sqrt 3 \sin r = 1\sin e$$
$$ \Rightarrow $$ e = 60
o
Now, r
 + $$	heta $$ + e = 180
o

Ray Optics

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 ________.

Choose the correct answer: