The light beam in the figure below strikes surface 2 at the critical angle, ?c = 42°. Determine the angle of incidence, ?1.  ° A prism in the shape of an equilateral triangle is shown. The triangle is upside down such that the base of the triangle is at the top of the figure and the apex is at the bottom. A light ray comes in from the top left, moves down and to the right and is incident on the center of the base of the triangle. This surface is labeled Surface 1. The incident ray makes an angle of ?1 with the vertical. Within the prism, the ray continues to move down and to the right but at a slope which is

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The light beam in the figure below strikes surface 2 at the critical angle, ?c = 42°. Determine the angle of incidence, ?1.
 °
A prism in the shape of an equilateral triangle is shown. The triangle is upside down such that the base of the triangle is at the top of the figure and the apex is at the bottom. A light ray comes in from the top left, moves down and to the right and is incident on the center of the base of the triangle. This surface is labeled Surface 1. The incident ray makes an angle of ?1 with the vertical. Within the prism, the ray continues to move down and to the right but at a slope which is steeper than the initial ray. It is incident on the right side of the prism, labeled Surface 2, about two-thirds of the way down and makes an angle of 42.0° with the normal. Some of the ray is reflected, making an angle of 42.0° with the normal, and moves down and to the left. The rest of the ray moves down and to the left but at a steeper slope than the previous ray, and moves along the surface of the prism. The angle between Surface 1 and Surface 2 is 60.0°.

 

 

 

5.

 
A laser beam is incident on a 45°–45°–90° prism perpendicular to one of its faces, as shown in the figure below. The transmitted beam that exits the hypotenuse of the prism makes an angle of ? = 13.4° with the direction of the incident beam. Find the index of refraction of the prism.
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