Problem 2:  A beam of light traveling through a liquid (of index of refraction n1 = 1.31) is incident on a surface at an angle of θ1 = 55° with respect to the normal to the surface. It passes into the second medium and refracts at an angle of θ2 = 66.5° with respect to the normal.  Part (a)  Write an equation for the index of refraction of the second material.  Part (b)  What is the index of refraction of the second material? Part (c)  Numerically, what is the light's velocity in medium 1, in meters per second?  Part (d)  Numerically, what is the light's velocity in medium 2, in meters per second?

A ray of monochromatic light is incident on the face of a prism in the shape of an equilateral triangle (that is, the apex angle of the prism is 60.0°). The incidence angle of the light ray is 75.9°. The prism is made of a transparent material with an index of refraction of 1.460 (at the light ray's wavelength). (a) Calculate the angle of refraction at the first surface (in degrees). (Round your answer to at least one decimal place.) (b) Calculate the angle of incidence at the second surface (in degrees). (Round your answer to at least one decimal place.) (c) Calculate the angle of refraction at the second surface (in degrees). (Round your answer to at least one decimal place.) (d) Calculate the angle between the incident and emerging rays (in degrees). (Round your answer to at least one decimal place.)

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 light ray travelling in medium a is refracted into medium b. The angle of incidence is 50.5° and the angle or refraction is 60.8°. Both angles are measured from the normal to the interface. What is the ratio of the index of refraction of medium a to that of medium b?