homework3

homework3 - Homework Set 3 Due Thursday, 07/14 Problem 1 A...

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Homework Set 3 Due Thursday, 07/14 Problem 1 A room contains two parallel wall mirrors, on opposite walls 5 meters apart. The mirrors are 8 meters long. Suppose that one person stands in a doorway, in line with mirror 2 and one meter away from it, and another person (the observer) stands one meter away from the other edge of the mirror. If the observer looks at mirror 1, how many images of the other person does he see? Problem 2 A pencil going through the surface of the water appears to bend slightly where it crosses the surface. The pencil enters the water with an angle of 45 degrees to the vertical. If an observer is looking at the pencil approximately from above, at what angle does the pencil appear to bend (by how many degrees does its image diverge from a straight line)? Assume that the index of refraction of water is 1.33. Problem 3 A transparent sphere forms an image of the Sun precisely on its surface, on the side opposite to the direction of the Sun. What is the index of refraction of the material of the sphere?
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Problem 4 A prism is constructed out of a material that has an index of refraction given by
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homework3 - Homework Set 3 Due Thursday, 07/14 Problem 1 A...

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