Prove that, if I is the intensity of light transmitted by twopolarizing filters with axes at an angle θ and I′ is theintensity when the axes are at an angle 90.0º−θ, thenI + I′ = I0, the original intensity. (Hint: Use thetrigonometric identities cos (90.0º−θ) = sin θ andcos2 θ + sin2 θ = 1. )

University Physics Volume 3
17th Edition
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
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Chapter1: The Nature Of Light
Section: Chapter Questions
Problem 70P: Three polarizing sheets are placed together such that the transmission axis of the second sheet is...
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Prove that, if I is the intensity of light transmitted by two
polarizing filters with axes at an angle θ and I′ is the
intensity when the axes are at an angle 90.0º−θ, then
I + I′ = I0, the original intensity. (Hint: Use the
trigonometric identities cos (90.0º−θ) = sin θ and
cos2 θ + sin2 θ = 1. )

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