Question

The figure below shows the path of a beam of light through
several layers with different indices of refraction. (Assume
*n*_{4} = 1.10.)

An illustration shows four media, represented as long, horizontal rectangles, arranged one on top of the other such that each medium has a higher index of refraction than the medium below it. The indexes of the four media from top to bottom are as follows:

- 1.60,
- 1.40,
- 1.20,
- and
*n*_{4}.

A ray of light starts from within the top medium and extends
down and to the right at an angle *θ*_{1} from the
vertical. The ray refracts through all subsequent materials below
it, with each transition to a lower material bending the ray
farther and farther from the vertical. Its angle of refraction as
the ray emerges into the fourth medium is
*θ*_{2}.

(a) If *θ*_{1} = 22.0°, what is the angle
*θ*_{2} of the emerging beam?

°

(b) What is the smallest incident angle *θ*_{1} to
have total internal reflection at the surface between the medium
with *n* = 1.20 and the medium with *n*_{4} =
1.10?

°

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Answer #1

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