Answered: f θb is Brewster’s angle for light…

f θb is Brewster’s angle for light reflected from the top ofan interface between two substances, and θ′bis Brewster’s angle for light reflected from below, prove thatθb + θ′b = 90.0º

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter1: The Nature Of Light

Section: Chapter Questions

Problem 84AP: If bis Brewster’s angle for light reflected from the top of an interface between two substances, and...

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Question

f θ^bis Brewster’s angle for light reflected from the top of
an interface between two substances, and θ′^b
ⁱs Brewster’s angle for light reflected from below, prove that
θ^b + θ^′b = 90.0º

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Light, when incident on a given surface, presents a reflected and a refracted component. When the reflected beam is perpendicular to the refracted beam, the angle of incidence θᵢ is called Brewster's angle. If a beam of light is initially in air with index of refraction n₁ = 1 and is incident on a glass surface (index of refraction n₂ = 1.5), Brewster's angle is: a)82.9° b)36.3° c)75.4° d)62.9° e)56.3° f)45.7°
(a) A narrow beam of light is incident on the left side of the prism shown in the figure below. The prism is a right triangle, with two of its angles measuring 45°. The transmitted beam that exits the hypotenuse of the prism makes an angle of 8 = 22.2° with the direction of the incident beam. What is the index of refraction of the prism? (Round your answer to at least two decimal places.) 7 45.0° Ⓡ (b) What If? In part (a), we assumed the beam was monochromatic. Consider instead the case where the beam was composed of white light. Because the index of refraction differs for different wavelengths, the white light would be dispersed into constituent colors. Assume the index of refraction for blue wavelengths is 1.01n and for red wavelengths it is 0.99n, where n is the index of refraction found in part (a). What is the angular spread (in degrees) between red and blue light exiting the prism?