(a) Explanation Consider a ray is being emitted from a medium with index of reference n i and it is then refracted at a curved surface into a medium of higher index n t with radius of curvature r having the centre at C . The ray strikes the surface at point A with an angle of incidence θ i and gets reflected with an angle of reflection θ t corresponding to the surface. The object is at point O at a distance d o from the surface, likewise the image is at point I at a distance d i from the surface. Let α , β , γ be the angle made by the line joining the points A from O , C and I respectively (b) To determine The proof of the relationship θ t = β − γ using geometry and Figure 38.17.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN: 9781133939146

Author: Katz, Debora M.

Publisher: Cengage Learning

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Chapter 38, Problem 36PQ

(a)

To determine

The proof of the relationship θi=α+β using geometry and Figure 38.17.

(b)

To determine

The proof of the relationship θt=β−γ using geometry and Figure 38.17.

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Chapter 38, Problem 35PQ

Chapter 38, Problem 37PQ

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Chapter 38 Solutions

Physics for Scientists and Engineers: Foundations and Connections

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Ch. 38 - Prob. 3PQ Ch. 38 - A light ray is incident on an interface between...Ch. 38 - Prob. 5PQ Ch. 38 - Prob. 6PQ Ch. 38 - Prob. 7PQ Ch. 38 - A ray of light enters a liquid from air. If the...Ch. 38 - Prob. 9PQ Ch. 38 - Figure P38.10 on the next page shows a...Ch. 38 - Prob. 11PQ Ch. 38 - Prob. 12PQ Ch. 38 - Prob. 13PQ Ch. 38 - Prob. 14PQ Ch. 38 - Prob. 15PQ Ch. 38 - A fish is 3.25 m below the surface of still water...Ch. 38 - N A fish is 3.25 m below the surface of still...Ch. 38 - A beam of monochromatic light within a fiber optic...Ch. 38 - Prob. 19PQ Ch. 38 - Prob. 20PQ Ch. 38 - Consider a light ray that enters a pane of glass...Ch. 38 - Prob. 22PQ Ch. 38 - Prob. 23PQ Ch. 38 - Prob. 24PQ Ch. 38 - Prob. 25PQ Ch. 38 - Prob. 26PQ Ch. 38 - Prob. 27PQ Ch. 38 - Prob. 28PQ Ch. 38 - The wavelength of light changes when it passes...Ch. 38 - Prob. 30PQ Ch. 38 - Light is incident on a prism as shown in Figure...Ch. 38 - Prob. 32PQ Ch. 38 - Prob. 33PQ Ch. 38 - Prob. 34PQ Ch. 38 - Prob. 35PQ Ch. 38 - Prob. 36PQ Ch. 38 - Prob. 37PQ Ch. 38 - A Lucite slab (n = 1.485) 5.00 cm in thickness...Ch. 38 - Prob. 39PQ Ch. 38 - Prob. 40PQ Ch. 38 - The end of a solid glass rod of refractive index...Ch. 38 - Prob. 42PQ Ch. 38 - Figure P38.43 shows a concave meniscus lens. If...Ch. 38 - Show that the magnification of a thin lens is...Ch. 38 - Prob. 45PQ Ch. 38 - Prob. 46PQ Ch. 38 - Prob. 47PQ Ch. 38 - The radius of curvature of the left-hand face of a...Ch. 38 - Prob. 49PQ Ch. 38 - Prob. 50PQ Ch. 38 - Prob. 51PQ Ch. 38 - Prob. 52PQ Ch. 38 - Prob. 53PQ Ch. 38 - Prob. 54PQ Ch. 38 - Prob. 55PQ Ch. 38 - Prob. 56PQ Ch. 38 - Prob. 57PQ Ch. 38 - Prob. 58PQ Ch. 38 - Prob. 59PQ Ch. 38 - Prob. 60PQ Ch. 38 - Prob. 61PQ Ch. 38 - Prob. 62PQ Ch. 38 - Prob. 63PQ Ch. 38 - Prob. 64PQ Ch. 38 - Prob. 65PQ Ch. 38 - Prob. 66PQ Ch. 38 - Prob. 67PQ Ch. 38 - Prob. 68PQ Ch. 38 - CASE STUDY Susan wears corrective lenses. The...Ch. 38 - A Fill in the missing entries in Table P38.70....Ch. 38 - Prob. 71PQ Ch. 38 - Prob. 72PQ Ch. 38 - Prob. 73PQ Ch. 38 - Prob. 74PQ Ch. 38 - An object 2.50 cm tall is 15.0 cm in front of a...Ch. 38 - Figure P38.76 shows an object placed a distance...Ch. 38 - Prob. 77PQ Ch. 38 - Prob. 78PQ Ch. 38 - Prob. 79PQ Ch. 38 - CASE STUDY A group of students is given two...Ch. 38 - A group of students is given two converging...Ch. 38 - Prob. 82PQ Ch. 38 - Two lenses are placed along the x axis, with a...Ch. 38 - Prob. 84PQ Ch. 38 - Prob. 85PQ Ch. 38 - Prob. 86PQ Ch. 38 - Prob. 87PQ Ch. 38 - Prob. 88PQ Ch. 38 - Prob. 89PQ Ch. 38 - Prob. 90PQ Ch. 38 - Prob. 91PQ Ch. 38 - Prob. 92PQ Ch. 38 - Prob. 93PQ Ch. 38 - Prob. 94PQ Ch. 38 - Prob. 95PQ Ch. 38 - Prob. 96PQ Ch. 38 - Prob. 97PQ Ch. 38 - A Fermats principle of least time for refraction....Ch. 38 - Prob. 99PQ Ch. 38 - Prob. 100PQ Ch. 38 - Prob. 101PQ Ch. 38 - Prob. 102PQ Ch. 38 - Prob. 103PQ Ch. 38 - Prob. 104PQ Ch. 38 - Curved glassair interfaces like those observed in...Ch. 38 - Prob. 106PQ Ch. 38 - Prob. 107PQ Ch. 38 - Prob. 108PQ Ch. 38 - Prob. 109PQ Ch. 38 - Prob. 110PQ Ch. 38 - Prob. 111PQ Ch. 38 - Prob. 112PQ Ch. 38 - Prob. 113PQ Ch. 38 - Prob. 114PQ Ch. 38 - The magnification of an upright image that is 34.0...Ch. 38 - Prob. 116PQ Ch. 38 - Prob. 117PQ Ch. 38 - Prob. 118PQ Ch. 38 - Prob. 119PQ Ch. 38 - Prob. 120PQ Ch. 38 - Prob. 121PQ Ch. 38 - Prob. 122PQ Ch. 38 - Prob. 123PQ Ch. 38 - Prob. 124PQ Ch. 38 - Prob. 125PQ Ch. 38 - Prob. 126PQ Ch. 38 - Light enters a prism of crown glass and refracts...Ch. 38 - Prob. 128PQ Ch. 38 - An object is placed a distance of 10.0 cm to the...

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The proof of the relationship θ i = α + β using geometry and Figure 38.17.

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The proof of the relationship θi=α+β using geometry and Figure 38.17.

The proof of the relationship θt=β−γ using geometry and Figure 38.17.

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Chapter 38 Solutions