A beam of light hits the boundary between glass (n=1.52) and an unknown material at an angle of 42o relative to the normal. The reflected and refracted rays make an angle of 88o with respect to one another. Instructions 1Draw a sketch of this situation. Make sure all quantities are clearly labeled. 2Sketch a ray diagram with all relevant angles labeled properly. 3Determine the index of refraction of the unknown material. Show all of your work and explain your thought process in words.  4Evaluate your solution. Explain how you know whether your answer is reasonable or not.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
Section: Chapter Questions
Problem 87PQ
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A beam of light hits the boundary between glass (n=1.52) and an unknown material at an angle of 42o relative to the normal. The reflected and refracted rays make an angle of 88o with respect to one another.

Instructions

1Draw a sketch of this situation. Make sure all quantities are clearly labeled.

2Sketch a ray diagram with all relevant angles labeled properly.

3Determine the index of refraction of the unknown material. Show all of your work and explain your thought process in words. 

4Evaluate your solution. Explain how you know whether your answer is reasonable or not.

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