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A problem on prism

The Triangular prism shown in Figure 1 (see attachment) has index of refraction 1.5 and angles 37, 53, and 90 degrees. The shortest side of the prism is set on a horizontal table. A beam of light, initially horizontal, is incident on the prism from the left.

a.) On Figure 1, sketch the path of the beam as it passes through and emerges from the prism

b.) Determine the angle with respect to the horizontal (angle of deviation) of the beam as it emerges from the prism.

c.) The prism is replaced by a new prism of the same shape, which is set in the same position. The beam experiences total internal reflection at the right surface of this prism. What is the minimum possible index of refraction of this prism?

The new prism having the index of refraction found in part (c) is then completely submerged in water (index of refraction = 1.33) as shown in Figure 2 (see attachment). A horizontal beam of light is again incident from the left.

d.) On Figure 2, sketch the path of the beam as it passes through and emerges from the prism.

e.) Determine the angle with respect to the horizontal (angle of deviation) of the beam as it emerges from the prism.

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