please make sure you have the right answer.A light ray in dense flint glass with
ID: 1503980 • Letter: P
Question
please make sure you have the right answer.A light ray in dense flint glass with an index of refraction of 1.647 is incident on the glass surface. An unknown liquid condenses on the surface of the glass. Total internal reflection on the glass-liquid interface occurs for an angle of incidence on the glass-liquid interface of 51.3°. Assume the glass and liquid have perfect planar surfaces.
(a) What is the refractive index of the unknown liquid?
........
(b) If the liquid is removed, what is the angle of incidence for total internal reflection?
.......°
(c) For the angle of incidence found in part (b), what is the angle of refraction of the ray into the liquid film?
........°Does a ray emerge from the liquid film into the air above?
Yes
No
Explanation / Answer
a) For total internal reflection
sin(51.3)/sin(90) = n / 1.647
n = 1.28536
b) If liquid is removed, sin(theta)/sin(90) = 1/1.647
theta = 37.3847 deg
c) sin(37.3847)/sin(theta) = 1.28536/1.647
theta = 51.07710 deg
for the film of liquid
sin(theta)/sin(phi) = 1/1.28536
phi = 90 deg [ so T I R]
The ray does not come out of the film
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