Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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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.
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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 = 1.5).
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?
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 =
Chapter 30 Solutions
Essential University Physics (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 - Prob. 6FTD
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 - Prob. 22ECh. 30 - Prob. 23ECh. 30 - What is the critical angle for light propagating...Ch. 30 - Prob. 25ECh. 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 - Prob. 58PCh. 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...
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