Explanation The ray diagram is given below. From the diagram, the angle between the two surfaces is, θ + ( 90 ° + θ 2 ) + ( 90 ° − θ 3 ) = 180 ° θ = θ 3 − θ 2 Here, θ , θ 2 and θ 3 are the angles marked in the diagram. In the air-water interface, The expression for Brewster’s law is, tan θ p = n w n a Here, n w is the refractive index of water, n a is the refractive index of air. Substitute 1.33for n w and 1.00for n a to get θ p . tan θ p = 1.33 1.00 θ p = tan − 1 ( 1.33 ) = 53.1 ° Write the expression for Snell’s law. n a sin θ p = n w sin θ 2 Substitute 1.33for n w ,1.00for n a and 53.1 ° for θ p to get θ 2

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

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ISBN: 9781305266292

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Publisher: Cengage Learning

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Snell’s law is a formula that gives a relation between the angle of incidence and angle of refraction and is given as:

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Chapter 38, Problem 65AP

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The angle between the two surfaces.

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Chapter 38, Problem 64AP

Chapter 38, Problem 66AP

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3.63 • Leaping the River II. A physics professor did daredevil stunts in his spare time. His last stunt was an attempt to jump across a river on a motorcycle (Fig. P3.63). The takeoff ramp was inclined at 53.0°, the river was 40.0 m wide, and the far bank was 15.0 m lower than the top of the ramp. The river itself was 100 m below the ramp. Ignore air resistance. (a) What should his speed have been at the top of the ramp to have just made it to the edge of the far bank? (b) If his speed was only half the value found in part (a), where did he land? Figure P3.63 53.0° 100 m 40.0 m→ 15.0 m

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Chapter 38 Solutions

Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)

Ch. 38.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 38.2 - Prob. 38.2QQ Ch. 38.3 - Cats eyes have pupils that can be modeled as...Ch. 38.3 - Suppose you are observing a binary star with a...Ch. 38.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 38.6 - A polarizer for microwaves can be made as a grid...Ch. 38.6 - Prob. 38.7QQ Ch. 38 - Prob. 1OQ Ch. 38 - Prob. 2OQ Ch. 38 - Prob. 3OQ

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