Explanation Given data: The total internal reflection on the hypotenuse of glass prism is given in the figure 18.58. Formula used: Consider the formula for critical angle. θ c = sin − 1 ( n medium 2 n medium 1 ) (1) Here, n medium 2 is the refractive index of medium 2 and n medium 1 is the refractive index of medium 1. Draw the ray diagram as shown in Figure 1 to find the angle θ 1 . As one medium is glass and the other medium is air. For total internal reflection critical angle is required. As the light rays moves from a denser medium to a rarer medium, there will be a critical angle θ c . Modify equation (1) for air and glass medium. θ c = sin − 1 ( n air n glass ) Here, n air is refractive index of air medium, which has the standard value as 1, and n glass is refractive index of glass medium, which is 1.5. Substitute 1 for n air , and 1.5 for n glass , θ c = sin − 1 ( 1 1.5 ) = 41.8 ° Now, find an angle for triangle ABC θ glass 1 + ( 180 ° − 60 ° ) + ( 90 ° − θ c ) = 180 ° θ glass 1 + 120 ° + ( 90 ° − θ c ) = 180 ° θ glass 1 − θ c = − 30 ° Substitute 41.8 ° for θ c , θ glass 1 = − 30 ° + θ c = − 30 ° + 41.8 ° = 11

College Physics: A Strategic Approach (3rd Edition)

3rd Edition

ISBN: 9780321879721

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Chapter 18, Problem 58GP

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The angle θ1 for which the laser beam undergo total internal reflection.

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Chapter 18, Problem 57GP

Chapter 18, Problem 59GP

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Chapter 18 Solutions

College Physics: A Strategic Approach (3rd Edition)

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The angle θ 1 for which the laser beam undergo total internal reflection.

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The angle θ1 for which the laser beam undergo total internal reflection.

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Chapter 18 Solutions