Answer
See explanation.
Work Step by Step
a. Let a ray of light, starting from air where n=1, hit the surface of the material. Measure the angle of incidence and the angle of refraction. Use Snell’s Law, equation 33.4, to deduce the unknown index of refraction.
b. Let a ray of light, starting from inside the unknown material, move toward an interface with air where n=1. Measure the critical angle of incidence for which the ray suffers total internal reflection. Use equation 33.6, to deduce the unknown index of refraction.
c. Let a ray of light, starting from air where n=1, hit the surface of the material. Measure the angle of incidence for which the reflected light is completely polarized. Use Brewster’s Law, equation 33.8, to deduce the unknown index of refraction.