A beam of light is emitted 10.0 cm beneath the surface of a liquid and strikes the surface 6.0 cm from the point directly above the source.  If total internal reflection occurs, and this beam is traveling at the critical angle for total internal reflection, what is the index of refraction of the liquid? Assume that air is above the liquid.

A ray of light is incident on a flat surface of a block of cubic zirconia, with an index of refraction of 2.2, that is submerged in water. The ray is split at the surface, where the angle of refraction of the transmitted ray is 13.1°. What is the angle of reflection (in degrees) of the reflected ray?

A beam of light moves through a slab of glass as shown in the figure. The index of refraction of the glass is ng = 1.5. The index of refraction of air is na = 1. The incident angle of the light is \theta i = 44\deg . Part (a)  If the refraction angle of the light at the upper surface of the slab is \theta 1, express sin\theta 1 in terms of \theta i, na, and ng. Part (b)  The incident angle of the light on the lower surface of the slab is \theta 2. What is the relation between \theta 1 and \theta 2?  Part (c)  The refraction angle of the light on the lower surface of the slab is \theta f. Express sin(\theta f) in terms of \theta 2, na, and ng.

A ray of light enters a liquid from air. If the angle between the incident and refracted rays is 133° and the angle between the reflected and refracted rays is 76°, find the refractive index of the liquid. Assume the refractive index of air is 1.00.