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1.a. Natural light propagating through air (index of refraction n = 1) is incident on the...

1.a. Natural light propagating through air (index of refraction n = 1) is incident on the surface of a transparent substance at an angle of 60◦ with normal. At this angle, the reflected light is seen to be completely polarized. What is the index of refraction of the transparent substance? Draw a picture to show the orientation of the electric field of the reflected light.

1.b. A swimmer at the bottom of a swimming pool 4 m deep looks up and sees a circle of light. What is this circle? Find the radius of the circle. (You may assume the index of refraction in water is n = 1.33.) Draw a picture to illustrate your answer.

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