A light ray traveling in air is incident on one face of aright-angle prism with

Question

A light ray traveling in air is incident on one face of aright-angle prism with index of refraction n =1.50, as shown in the figure below,and the ray follows the path shown in the figure. Assuming that = 60.0° and the base of the prism is mirrored,determine the angle ? made by the outgoing ray with thenormal to the right face of the prism. A light ray traveling in air is incident on one face of aright-angle prism with index of refraction n =1.50, as shown in the figure below,and the ray follows the path shown in the figure. Assuming that = 60.0° and the base of the prism is mirrored,determine the angle ? made by the outgoing ray with thenormal to the right face of the prism.

Explanation / Answer

   from the figure if i is the angle of incidencefor the first incoming ray at the left side and r is the    angle of refraction then from geometry weget    i =      = 60o    so from the snells law we get    (1) sin = (1.48) sin r    r = sin-1(sin / 1.48)      = ..........o    the angle will be    = sin-1(1.18cos( + r))        =........o    so from the snells law we get    (1) sin = (1.48) sin r    r = sin-1(sin / 1.48)      = ..........o    the angle will be    = sin-1(1.18cos( + r))        =........o

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