The reflecting surfaces of two intersecting flat mirrors are at an angle 0 (0° < 0 < 90°) as shown in the figure below. For a light ray that strikes the horizontal mirror, show that the emerging ray will intersect the incident ray at an angle ß = 180° - 20. Assume that all angles are expressed in degrees and define the angles of incidence for the two reflections to be a and ô with respect to the normals. Calculate ß in terms of a and 8. B = Now calculate 0 in terms of a and 8. Combine the previous two results in order to obtain an expression for ß in terms of 0. B = 180 – 20

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 104PQ
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The reflecting surfaces of two intersecting flat mirrors are at an angle 0 (0° < 0 < 90°) as shown in the figure below. For a light
ray that strikes the horizontal mirror, show that the emerging ray will intersect the incident ray at an angle ß = 180° - 20. Assume
that all angles are expressed in degrees and define the angles of incidence for the two reflections to be a and ô with respect to the
normals.
Calculate ß in terms of a and 8.
B =
Now calculate 0 in terms of a and 8.
Combine the previous two results in order to obtain an expression for ß in terms of 0.
B = 180 – 20
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Transcribed Image Text:The reflecting surfaces of two intersecting flat mirrors are at an angle 0 (0° < 0 < 90°) as shown in the figure below. For a light ray that strikes the horizontal mirror, show that the emerging ray will intersect the incident ray at an angle ß = 180° - 20. Assume that all angles are expressed in degrees and define the angles of incidence for the two reflections to be a and ô with respect to the normals. Calculate ß in terms of a and 8. B = Now calculate 0 in terms of a and 8. Combine the previous two results in order to obtain an expression for ß in terms of 0. B = 180 – 20 Need Help? Read It
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