A light ray falls on the left face of a prism (see below) at the angle of incidence 0 for which the emerging beam also has an angle of refraction at the right face. Use geometry and trigonometry to show in detail that the index of refraction n of the prism is given by sin (a+b) where is the vertex angle of the prism and a is the angle through which the n = sin beam has been deviated due to the prism (a is known to be the angle of deviation). If a = 36.0° and the two base angles of the prism are each 50.0°, what is n?

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter38: Refraction And Images Formed By Refraction
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Transcribed Image Text:0 Ja n
A light ray falls on the left face of a prism (see below) at the angle of incidence 0 for which the
emerging beam also has an angle of refraction 0 at the right face. Use geometry and
trigonometry to show in detail that the index of refraction n of the prism is given by
sin /(a+b)
where is the vertex angle of the prism and a is the angle through which the
n =
sin
beam has been deviated due to the prism (a is known to be the angle of deviation). If a = 36.0°
and the two base angles of the prism are each 50.0°, what is n?
Transcribed Image Text:A light ray falls on the left face of a prism (see below) at the angle of incidence 0 for which the emerging beam also has an angle of refraction 0 at the right face. Use geometry and trigonometry to show in detail that the index of refraction n of the prism is given by sin /(a+b) where is the vertex angle of the prism and a is the angle through which the n = sin beam has been deviated due to the prism (a is known to be the angle of deviation). If a = 36.0° and the two base angles of the prism are each 50.0°, what is n?
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