Chapter 33, Problem 67P

GO In the ray diagram of Fig. 33-63, where the angles are not drawn to scale, the ray is incident at the critical angle on the interface between materials 2 and 3. Angle ϕ = 60.0°, and two of the indexes of refraction are n₁ = 1.70 and n₂ = 1.60. Find (a) index of refraction n₃ and (b) angle θ. (c) If θ is decreased, does light refract into material 3?

Figure 33-63 Problem 67.