(a) Explanation Given info: The refractive index of a glass is 1.56 . The refractive index of the air is 1.00 . From Snell’s Law: n 1 sin θ 1 = n 2 sin θ 2 (1) Here, n 1 is the refractive index of the air. n 2 is the refractive index of the glass. θ 1 is the angle of incidence. θ 2 is the angle of refraction. The angle of incidence is twice the angle of refraction. θ 1 = 2 θ 2 Substitute 2 θ 2 for θ 1 and 1.56 for n 2 and 1.00 for n 1 in equation (1). 1.00 sin 2 θ 2 = 1.56 sin θ 2 Form the trigonometric identity: sin 2 θ = 2 sin θ cos θ The above equation is, 2 sin θ 2 cos θ 2 = 1

Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term

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ISBN: 9781305714892

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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Chapter 35, Problem 35.61AP

(a)

To determine

The angle of incidence for which the angle of refraction is half the angle of incidence.

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Chapter 35, Problem 35.60AP

Chapter 35, Problem 35.62AP

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Chapter 35 Solutions

Bundle: Physics for Scientists and Engineers, Technology Update, 9th Loose-leaf Version + WebAssign Printed Access Card, Multi-Term

Ch. 35 - Prob. 35.1QQ Ch. 35 - If beam is the incoming beam in Figure 34.10b,...Ch. 35 - Light passes from a material with index of...Ch. 35 - In photography, lenses in a camera use refraction...Ch. 35 - Prob. 35.5QQ Ch. 35 - In each of the following situations, a wave passes...Ch. 35 - A source emits monochromatic light of wavelength...Ch. 35 - Carbon disulfide (n = 1.63) is poured into a...Ch. 35 - A light wave moves between medium 1 and medium 2....Ch. 35 - What happens to a light wave when it travels from...

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The angle of incidence for which the angle of refraction is half the angle of incidence.

Solution Summary: The author explains that the angle of incidence is 77.5°.

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The angle of incidence for which the angle of refraction is half the angle of incidence.

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Chapter 35 Solutions