Question 279: Ray Optics

Question

A light ray enters a solid glass sphere of
refractive index $$\mu $$ = $$\sqrt 3 $$ at an angle of incidence
60
o
. 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 60 o . 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 ________.

Integer / Numeric Answer Type