(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

See similar textbooks

Concept explainers

Quantum mechanics and hydrogen atom

Consider an electron of mass m moves with the velocity v in a hydrogen atom. If an electron is at a distance r from the proton, then the potential energy function of the electron can be written as follows:

Isotopes of Hydrogen Atoms

To understand isotopes, it's easiest to learn the simplest system. Hydrogen, the most basic nucleus, has received a great deal of attention. Several of the results seen in more complex nuclei can be seen in hydrogen isotopes. An isotope is a nucleus of t…

Mass of Hydrogen Atom

Hydrogen is one of the most fundamental elements on Earth which is colorless, odorless, and a flammable chemical substance. The representation of hydrogen in the periodic table is H. It is mostly found as a diatomic molecule as water H2O on earth. It is …

Question

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 38, Problem 35PQ

Chapter 38, Problem 37PQ

Students have asked these similar questions

What is the uncertainty in the temperature difference, ΔT, between the two temperature T1 = (25.0 ± 0.5) oC and T2 = (30.0 ± 0.3) oC?

Growth of yeast cells In a controlled laboratory experiment, yeast cells are grown in an automated cell culture system that counts the number P of cells present at hourly intervals. The num- ber after t hours is shown in the accompanying figure. 250 200 150 100 50 0 1 2 3 4 5 6 7 a. Explain what is meant by the derivative P'(5). What are its units? b. Which is larger, P'(2) or P'(3)? Give a reason for your answer. c. The quadratic curve capturing the trend of the data points (see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43. Find the instantaneous rate of growth when t = 5 hours.

Q. 19: If Ā = 2x²yî – 5xyz ĵ – 92³R , then find ī ×ī × Ā.

Chapter 38 Solutions

Physics for Scientists and Engineers: Foundations and Connections

Ch. 38.1 - Light travels from air into glass. Which sketch in...Ch. 38.2 - Prob. 38.2CE Ch. 38.3 - Prob. 38.3CE Ch. 38.6 - Prob. 38.4CE Ch. 38.7 - Prob. 38.5CE Ch. 38.9 - Prob. 38.6CE Ch. 38.9 - Prob. 38.7CE Ch. 38.10 - Prob. 38.8CE Ch. 38 - The Sun appears at an angle of 53.0 above the...Ch. 38 - Prob. 2PQ

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...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

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

Solution Summary: The author illustrates the proof of the relationship theta_i=alpha +bet

Concept explainers

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.

Want to see the full answer?

Chapter 38 Solutions