Use image below to solve the problem Blue light of 475 nm is incident normally on a 30-60-90 prism as shown in the picture (only some of the rays are depicted). The prism has an index of refraction of 1.5 and lies on water as shown (index of refraction of water = 1.33). (a) Determine the angle of refraction at Face 2. (b) Does light refract into air at Face 3? If so determine the angle of refraction. (c) To have total internal reflection at Face 2 you decide to replace the water by a different medium. What is the biggest possible value for the index of refraction of such medium?

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Blue light of 475 nm is incident normally on a 30-60-90 prism as
shown in the picture (only some of the rays are depicted). The prism
has an index of refraction of 1.5 and lies on water as shown (index
of refraction of water = 1.33).
(a) Determine the angle of refraction at Face 2.
(b) Does light refract into air at Face 3? If so determine the angle of refraction.
(c) To have total internal reflection at Face 2 you decide to replace the water by a different medium. What is the biggest possible value for the index of refraction of such medium?

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