Use image below to solve the problem light of 475 nm is incident on a 30-60-90 prism as in the image (only some of the rays are depicted). The prism's index  refraction of 1.5 and lies on water as shown (index of refraction of water = 1.33). (a) what is  the angle of refraction at Face 2. (b) Does light refract into air at Face 3? If so what is 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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light of 475 nm is incident on a 30-60-90 prism as
in the image (only some of the rays are depicted). The prism's index  refraction of 1.5 and lies on water as shown (index
of refraction of water = 1.33).
(a) what is  the angle of refraction at Face 2.
(b) Does light refract into air at Face 3? If so what is 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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