Chapter 35: Interference

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Pages: 1047 - 1080

Book edition 10th Edition

Author(s) David Halliday

Pages 1328 pages

ISBN 9781118230718

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118 Questions for Chapter 35: Interference

A thin film suspended in air is 0.410 μmthick and is illuminated with white light incident perpendicularly on its surface. The index of refraction of the film is 1.50. At what wavelength will visible light that is reflected from the two surfaces of the film undergo fully constructive interference?

Found on Page 1080
Find the slit separation of a double-slit arrangement that will produce interference fringes0.018 radapart on a distant screen when the light has wavelengthλ=589 nm.

Found on Page 1080
In a phasor diagram for any point on the viewing screen for the two slit experiment in Fig 35-10, the resultant wave phasor rotates60.0°in 2.50×10-16 s. What is the wavelength?

Found on Page 1080
In Fig 35-59, an oil drop (n=1.20) floats on the surface of water (n=1.33) and is viewed from overhead when illuminated by sunlight shinning vertically downward and reflected vertically upward. (a) Are the outer (thinnest) regions of the drop bright or dark? The oil film displays several spectra of colors. (b) Move from the rim inward to the third blue band and using a wavelength of 475 nm for blue light, determine the film thickness there. (c) If the oil thickness increases, why do the colors gradually fade and then disappear?

Found on Page 1080
In Fig, monochromatic light of wavelength diffracts through narrow slit S in an otherwise opaque screen. On the other side, a plane mirror is perpendicular to the screen and a distance h from the slit. A viewing screen A is a distance much greater than h. (Because it sits in a plane through the focal point of the lens, screen A is effectively very distant. The lens plays no other role in the experiment and can otherwise be neglected.) Light travels from the slit directly to A interferes with light from the slit that reflects from the mirror to A. The reflection causes a half-wavelength phase shift. (a) Is the fringe that corresponds to a zero path length difference bright or dark? Find expressions (like Eqs. 35-14 and 35-16) that locate (b) the bright fringes and (c) the dark fringes in the interference pattern. (Hint: Consider the image of S produced by the minor as seen from a point on the viewing screen, and then consider Young’s two-slit interference.)

Found on Page 1080
The two point sources in Fig 35-61 emit coherent waves. Show that all curves (such as the one shown), over which the phase difference for rays r1and r2in a constant, are hyperbolas. (Hint: A constant phase difference implies a constant difference in length between r1and r2).

Found on Page 1080
In Fig. 35-34, a light ray is an incident at angle θ1=50°on a series of five transparent layers with parallel boundaries. For layers 1 and 3 , L1=20μm , L2=25μm, n1=1.6and n3=1.45. (a) At what angle does the light emerge back into air at the right? (b) How much time does the light take to travel through layer 3?

Found on Page 1074
Figure 35-27a shows the cross-section of a vertical thin film whose width increases downward because gravitation causes slumping. Figure 35-27b is a face-on view of the film, showing four bright (red) interference fringes that result when the film is illuminated with a perpendicular beam of red light. Points in the cross section corresponding to the bright fringes are labeled. In terms of the wavelength of the light inside the film, what is the difference in film thickness between (a) points a and b and (b) points b and d?

Found on Page 1073
Suppose that the two waves in Fig. 35-4 have a wavelength λ=500nmin air. What multiple of λgives their phase difference when they emerge if (a) n1=1.50, n2=16and L=8.50μm; (b) n1=1.62, n2=1.72, and L=8.50μm; and (c) n1=1.59, n2=1.79, and L=3.25μm? (d) Suppose that in each of these three situations, the waves arrive at a common point (with the same amplitude) after emerging. Rank the situations according to the brightness the waves produce at the common point.

Found on Page 1074
Figure 35-28 shows four situations in which light reflects perpendicularly from a thin film of thickness L sandwiched between much thicker materials. The indexes of refraction are given. In which situations does Eq. 35-36 correspond to the reflections yielding maxima (that is, a bright film).

Found on Page 1073

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Chapter 35: Interference

Fundamentals Of Physics

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118 Questions for Chapter 35: Interference

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