Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 30, Problem 44P
For the interface between air (refractive index 1) and a material with refractive index n, show that the critical angle and the polarizing angle are related by sin θc = cot θp.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Brewster plates are used in laser cavities to polarize the light with the smallest amount of power loss possible (see figure). Suppose the laser cavity is filled with air (n = 1) and the Brewster's plate is made of glass (ng = 1.45).
Part (a) What is the angle the normal to the plate must make with respect to the laser beam, θB, if the polarization of the reflected light is maximized? Answer in radians.
Part (b) If instead this were a dye laser, whose cavity is filled with a liquid solution with ns = 1.3. What is the angle, θB, in radians?
Brewster plates are used in laser cavities to polarize the light with the smallest amount of power loss possible (see figure). Suppose the laser cavity is filled with air (n = 1) and the Brewster's plate is made of glass (ng = 1.4).
Part (a) What is the angle the normal to the plate must make with respect to the laser beam, θB, if the polarization of the reflected light is maximized? Answer in radians.
θB =
Part (b) If instead this were a dye laser, whose cavity is filled with a liquid solution with ns = 1.3. What is the angle, θB, in radians?
θB =
The critical angle of light in a certain substance is 37° what is the polarizing angle.
(а) 37°
(b) 74°
(с) 31°
(d) 43°
Chapter 30 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 30.1 - Prob. 30.1GICh. 30.2 - The figure shows the path of a light ray through...Ch. 30.3 - The glass prism in Fig. 30.11 has n = 1.5 and is...Ch. 30.4 - Prob. 30.4GICh. 30 - Prob. 1FTDCh. 30 - Why does a spoon appear bent when its in a glass...Ch. 30 - Prob. 3FTDCh. 30 - Prob. 4FTDCh. 30 - You send white light through two identical glass...Ch. 30 - In glass, which end of the visible spectrum has...
Ch. 30 - Prob. 7FTDCh. 30 - Why are polarizing sunglasses better than glasses...Ch. 30 - Under what conditions will the polarizing angle be...Ch. 30 - Through what angle should you rotate a mirror so...Ch. 30 - Prob. 12ECh. 30 - To what angular accuracy must two ostensibly...Ch. 30 - Prob. 14ECh. 30 - In which substance in Table 30.1 does the speed of...Ch. 30 - Information in a compact disc is stored in pits"...Ch. 30 - Light is incident on an air-glass interface, and...Ch. 30 - A light ray propagates in a transparent material...Ch. 30 - Light propagating in the glass (n = 1.52) wall of...Ch. 30 - Prob. 20ECh. 30 - Find the refractive index of a material for which...Ch. 30 - Find the critical angle for total internal...Ch. 30 - A drop of water is trapped in a block of ice....Ch. 30 - What is the critical angle for light propagating...Ch. 30 - Total internal reflection occurs at an interface...Ch. 30 - Blue and red laser beams strike an air-glass...Ch. 30 - White light propagating in air is incident at 45...Ch. 30 - Suppose the 60 angle in Fig. 30.18 is changed to...Ch. 30 - The refractive index of a human cornea is 1.40. If...Ch. 30 - Two plane mirrors make an angle . A light ray...Ch. 30 - An unlabeled bottle of liquid has spilled, and...Ch. 30 - A meter stick lies on the bottom of the...Ch. 30 - Prob. 33PCh. 30 - At the aquarium where you work, a fish has gone...Ch. 30 - Prob. 35PCh. 30 - You've dropped your car keys at night off the end...Ch. 30 - Laser eye surgery uses ultraviolet light with...Ch. 30 - Prob. 38PCh. 30 - Repeat Problem 38 for the case n = 1.75, = 40,...Ch. 30 - Find the minimum refractive index for the prism in...Ch. 30 - Where and in what direction would the main beam...Ch. 30 - Find the speed of light in a material for which...Ch. 30 - Prob. 43PCh. 30 - For the interface between air (refractive index 1)...Ch. 30 - A scuba diver sets off a camera flash at depth h...Ch. 30 - Suppose the red and blue beams of Exercise 26 are...Ch. 30 - In cataract surgery, ophthalmologists replace the...Ch. 30 - In a ruby laser, light is produced in a solid rod...Ch. 30 - Reconsider Example 30.4, now in a glass with n700...Ch. 30 - A cylindrical tank 2.4 m deep is full to the brim...Ch. 30 - For what diameter tank in Problem 50 will sunlight...Ch. 30 - Light is incident from air on the flat wall of a...Ch. 30 - Prob. 53PCh. 30 - Find an expression for the displacement x in Fig....Ch. 30 - Prob. 55PCh. 30 - (a) Differentiate the result of Problem 55 to show...Ch. 30 - Prob. 57PCh. 30 - Show that a three-dimensional corner reflector...Ch. 30 - Fermat's principle states that a light ray's path...Ch. 30 - Prob. 60PCh. 30 - A slab of transparent material has thickness d and...Ch. 30 - For common materials like glass, the wavelength...Ch. 30 - Figure 30.25a depicts lights path over a hot road,...Ch. 30 - Prob. 64PPCh. 30 - Figure 30.25b shows how continuous refraction in...Ch. 30 - The refractive index in the ionosphere is strongly...
Additional Science Textbook Solutions
Find more solutions based on key concepts
42. A concert loudspeaker suspended high off the ground emits 35 W of sound power. A small microphone with a 1....
College Physics: A Strategic Approach (4th Edition)
A solid marble starts from rest and rolls without slipping on the loop-the-loop track in Fig. 10.30. Find the m...
Essential University Physics (3rd Edition)
Two identical objects with the same initial speed collide and stick together. If the composite object moves wit...
Essential University Physics: Volume 1 (3rd Edition)
42. Suppose you stood atop a ladder that was so tall that you were three times as far from Earth’s center as yo...
Conceptual Physical Science (6th Edition)
3. What is free-fall, and why does it make you weightless? Briefly describe why astronauts are weightless in th...
The Cosmic Perspective (8th Edition)
Surface processes include a weathering, erosion, and deposition b ice, running water, and gravity c freezing an...
Conceptual Integrated Science
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.Similar questions
- Two polarizing sheets P1 and P2 are placed together with their transmission axes oriented at an angle to each other. What is when only 25% of the maximum transmitted light intensity passes through them?arrow_forwardIf you have completely polarized light of intensity 150 W/m2 , what will its intensity be after passing through a polarizing filter with its axis at an 89.0 angle to the light’s polarization direction?arrow_forwardIf bis Brewster’s angle for light reflected from the top of an interface between two substances, and bis Brewster’s angle for light reflected from below, prove that b+b=90.0arrow_forward
- Brewster plates are used in laser cavities to polarize the light with the smallest amount of power loss possible (see figure). Suppose the laser cavity is filled with air (n = 1) and the Brewster's plate is made of glass (ng = 1.47). (a) What is the angle the normal to the plate must make with respect to the laser beam, θB, if the polarization of the reflected light is maximized? Answer in radians. (b) If instead this were a dye laser, whose cavity is filled with a liquid solution with ns = 1.3. What is the angle, θB, in radians?arrow_forwardLight in air (assume n = 1) strikes the surface of a liquid of index of refraction nℓ at the polarizing angle. The part of the beam refracted into the liquid strikes a submerged slab of material with refractive index n as shown. The light reflected from the upper surface of the slab is completely polarized. Find the angle θ between the water surface and the surface of the slab as a function of n and nℓ.arrow_forwardYou shine a beam of polarized light in air on a piece of dense flint glass 1n = 1.662. (a) If the polarization direction is perpendicular to the plane of incidence, is there an angle of incidence for which no light is reflected from the glass? If so, what is this angle? (b) Repeat part (a) if the polarization direction is in the plane of incidence.arrow_forward
- For an air (n=1) and glass (n=1.45) interface, determine the % of the light reflected (reflectance) and transmitted (transmittance) for a light beam incident from air to glass with (a) incident angle = 25o and the electric field (polarization) direction is in the incident plane, (b) incident angle=25o and electric field (polarization) direction is 45o with respect to the incident plane.arrow_forwardThe angle of incidence of a light beam in air onto a reflecting surface is continuously variable. The reflected ray is found to be completely polarized when the angle of incidence is 63.0°. (a) What is the index of refraction of the reflecting material? (b) If some of the incident light (at an angle of 63.0°) passes into the material below the surface, what is the angle of refraction? answer in degrees °arrow_forwardA ray of light travelling in glass having a refractive index nglass = 1.5, is incident at an angle 6, on the glass-air interface. If a thin layer of liquid (niquid = 1.23) is poured on the glass air interface, then at what angle would the ray emerge from the liquid-air interface? air (nair) air (nair) liquid (njiquid) glass (ng) glass (ng) 35.7° 90.0° O 45.6° 48.3° 82.5°arrow_forward
- Consider a tank made of glass (refractive index is 1.5) with a thick bottom. It is filled with a liquid of refractive index µ. A student finds that, irrespective of what the incident angle i (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarised. For this to happen, the minimum value ofµ is (a) alw 5 (b) √3 n=1.5 (c) 4 3 (d) √ ام اللهarrow_forwardA ray of light travelling in glass having a refractive index nlass= 1.5, is incident at an angle 0 on the glass-air interface. If a thin layer of liquid (niquid = 1.23) is poured on the glass air interface, then at what angle would the ray emerge from the liquid-air interface? air (nair) air (nair) liquid (niquid) glass (ng) glass (ng) O 48.3° 90.0° 35.7° O 45.6° O 82.5°arrow_forwardWhen light is incident normally on the interface between two transparent optical media, the intensity of the reflected light is given by the expression S = S, In this equation, S, represents the average magnitude of the Poynting vector in the incident light (the incident intensity), S; is the reflected intensity, and n, and n, are the refractive indices of the two media. (a) What fraction of the incident intensity is reflected for 589-nm light normally incident on an interface between air and crown glass? (b) Does it matter in part (a) whether the light is in the air or in the glass as it strikes the interface?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningUniversity Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStaxPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Polarization of Light: circularly polarized, linearly polarized, unpolarized light.; Author: Physics Videos by Eugene Khutoryansky;https://www.youtube.com/watch?v=8YkfEft4p-w;License: Standard YouTube License, CC-BY