1. For a certain optical medium, the speed of light varies from low value of 1.90*10^8 m/s for violet light to a high value of 2.00*10^8 m/s for red light.(A) Calculate the range of the index of refraction of the material for visible light. (B) A white light is incident on the medium from air, making an angle of 30 degrees with the normal. Compare the angles of refraction for violet light and red light. (C) Repeat the previous part when the incident angle is 60 degrees.
2. A beam of light shines on an equilateral glass prism at an angle of 45 degrees to one face. (A) what is the angle at which the light emerges from the opposite face given that nglass=1.57? (B) Now consider what happens when dispersion is involved. Assume the incident ray of light spans the spectrum of visible light between 400 nm aand 700 nm (violet to red, respectively). The index of refraction for violet light in the glass prism is 1.572, and it is 1.568 for red light in the glass prism. Find the distance along the right face of the prism between the points where the red light and the violet light emerge back into air. Assume the prism is 10.0 cm on a side and the incidentbray hits the midpoint of the left face.