A ray of light is incident normally on the right face of a 30o-60o-90o cubic zirconium prism (n2 = 2.193) as shown. The ray undergoes total internal reflection at point P and then exits the prism into a glass stand (n3 = 1.662). Finally, the ray exits the bottom of the glass stand at angle. The cubic zirconium prism and glass stand are immersed in ethyl alcohol (n1 = 1.361).
a) Determine the exit angle theta for the ray of light.
b) When the cubic zirconium prism and glass stand are removed from the ethyl alcohol and placed into air, the ray undergoes total internal reflection at the bottom of the glass base. (Previously the ray exited the base at angle ..) Verify. Be sure to find the critical angle between the base and air.
c) The ray now reflects up and down the inside of the glass base and exits the left side just after the 7th reflection. If the glass base is 2.00 cm thick, how far does the light ray travel horizontally from the point where it enters the base to the point where it exits the base?