Red light is incident in air on a 30o -60o - 90 o prism as shown. The incident beamis directed at an angle of φ1 = 47.6o withrespect to the horizontal and enters the prism at a height h = 15cm above the base. The beam leaves the prism to the air at adistance d = 37.6 cm along the base as shown.
1)
What is φ2, the angle the beam in the prism makeswith the horizontal axis?
degrees
2)
What is n, the index of refraction of the prism for redlight?
3)
What is φ3, the angle the transmitted beam makes withthe horizontal axis?
degrees
4)
What is φ1,max, the maximum value of φ1for which the incident beam experiences total internal reflectionat the horizontal face of the prism?
degrees
5)
The red beam is now replaced by a violet beam that is incidentat the same angle φ1 and same height h. The prism has anindex of refraction nviolet = 1.7 for violet light.Compare dviolet, the exit distance for violet light, tod, the exit distance for red light.
dviolet < d
dviolet = d
dviolet > d
6)
Suppose now that the violet beam is incident at height h, butmakes an angle φ1,v = 60o with thehorizontal. What is φ3,v, the angle the transmitted beammakes with the horizontal axis?
degrees
