Fundamentals of Physics
10th Edition
ISBN: 9781118230718
Author: David Halliday
Publisher: Wiley, John & Sons, Incorporated
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Chapter 35, Problem 56P
A thin film, with a thickness of 272.7 nm and with air on both sides, is illuminated with a beam of white light. The beam is perpendicular to the film and consists of the full range of wavelengths for the visible spectrum. In the light reflected by the film, light with a wavelength of 600.0 nm undergoes fully constructive interference. At what wavelength does the reflected light undergo fully destructive interference? (Hint: You must make a reasonable assumption about the index of refraction.)
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A thin film, with a thickness of 272.7 nm and with air on both sides, is illuminated with a beam of white light. The beam is perpendicular to the film and consists of the full range of wavelengths for the visible spectrum. In the light reflected by the film, light with a wavelength of 600.0 nm undergoes fully constructive interference. At what wavelength does the reflected light undergo fully destructive interference? (Hint: You must make a reasonable assumption about the index of refraction.)
A thin layer of oil with index of refraction no = 1.47 is floating above the water. The index of refraction of water is nw = 1.3. The index of refraction of air is na = 1. A light with wavelength λ = 325 nm goes in from the air to oil and water.
Part (a) Express the wavelength of the light in the oil, λo, in terms of λ and no.
Part (b) Express the minimum thickness of the film that will result in destructive interference, tmin, in terms of λo. Part (c) Express tmin in terms of λ and no. Part (d) Solve for the numerical value of tmin in nm.
A thin film of polystyrene is used as an antireflective coating for fabulite (known as the substrate). The index of refraction of the polystyrene is 1.49, and the index of refraction of the fabulite is 2.409. What is the minimum thickness of film required? Assume that the wavelength of the light in air is 490 nanometers.
Chapter 35 Solutions
Fundamentals of Physics
Ch. 35 - Does the spacing between fringes in a two-slit...Ch. 35 - a If you move from one bright fringe in a two-slit...Ch. 35 - Figure 35-22 shows two light rays that are...Ch. 35 - In Fig. 35-23, three pulses of lighta, b, and cof...Ch. 35 - Is there an interference maximum, a minimum, an...Ch. 35 - Figure 35-24a gives intensity I verus position x...Ch. 35 - Figure 35-25 shows two sources S1 and S2 that emit...Ch. 35 - Figure 35-26 shows two rays of light, of...Ch. 35 - Light travels along the length of a 1500-nm-long...Ch. 35 - Figure 35-27a shows the cross section of a...
Ch. 35 - Figure 35-28 shows four situations in which light...Ch. 35 - Figure 35-29 shows the transmission of light a...Ch. 35 - Figure 15-30 shows three situations in which two...Ch. 35 - In Fig. 35-31, a light wave along ray r1 reflects...Ch. 35 - In Fig. 35-31, a light wave along ray r1 reflects...Ch. 35 - SSM In Fig 35-4, assume that two waves of light in...Ch. 35 - In Fig. 35-32a, a beam of light in material 1 is...Ch. 35 - How much faster, in meters per second, does light...Ch. 35 - The wavelength of yellow sodium light in air is...Ch. 35 - The speed of yellow light from a sodium lamp in a...Ch. 35 - In Fig 35-33, two light pulses are sent through...Ch. 35 - In Fig. 35-4, assume that the two light waves, of...Ch. 35 - Figure 35-27a shows the cross section of a...Ch. 35 - Suppose that the two waves in Fig. 35-4 have...Ch. 35 - In Fig. 35-35, two light rays go through different...Ch. 35 - GO ILW Two waves of light in air, of wavelength =...Ch. 35 - In a double-slit arrangement the slits are...Ch. 35 - SSM A double-slit arrangement produces...Ch. 35 - A double-slit arrangement produces interference...Ch. 35 - Prob. 17PCh. 35 - In the two-slit experiment of Fig. 35-10, let...Ch. 35 - SSM ILW Suppose that Youngs experiment is...Ch. 35 - Monochromatic green light, of wavelength 550 nm,...Ch. 35 - In a double-slit experiment, the distance between...Ch. 35 - In Fig. 35-37. two isotropic point sources S1, and...Ch. 35 - Prob. 23PCh. 35 - In Fig. 35-39, two isotropic point sources S1 and...Ch. 35 - GO In Fig. 35-40, two isotropic point sources of...Ch. 35 - In a doublc-slit experiment, the fourth-order...Ch. 35 - A thin flake of mica n = 1.58 is used to cover one...Ch. 35 - Go Figure 35-40 shows I two isotropic point...Ch. 35 - Prob. 29PCh. 35 - Find the sum y of the following quantities: y1 =...Ch. 35 - ILW Add the quantities y1= 10 sin t, y2 = 15sint ...Ch. 35 - GO In the double-slit experiment of Fig. 35-10....Ch. 35 - GO Three electromagnetic waves travel through a...Ch. 35 - In Ihe double-slit experiment of Fig, 35-10, the...Ch. 35 - SSM We wish to coal flat glass n = 1.50 with a...Ch. 35 - A 600-nm-thick soap film n = 1.40 in air is...Ch. 35 - The rhinestones in costume jewelry are glass with...Ch. 35 - White light is sent downward onto a horizontal...Ch. 35 - ilw Light of wavelength 624 nm is incident...Ch. 35 - A thin film of acetone n = 1.25 coats a thick...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - 41 through 52 GO 43, 51 SSM 47, 51 Reflection by...Ch. 35 - The reflection of perpendicularly incident white...Ch. 35 - A plane wave of monochromatic light is incident...Ch. 35 - SSM WWW A disabled tanker leaks kerosene n = 1.20...Ch. 35 - A thin film, with a thickness of 272.7 nm and with...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - Fig. 35-43, light is incident perpendicularly on a...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - 57 through 68 GO 64, 65 SSM 59 Transmission...Ch. 35 - GO In Fig. 35-44, a broad beam of light of...Ch. 35 - GO In Fig. 35-45, a broad beam of light of...Ch. 35 - In Fig. 35-45, two microscope slides touch at one...Ch. 35 - In Fig. 35-45, a broad beam of monochromatic light...Ch. 35 - SSM In Fig. 35-45, a broad beam of light of...Ch. 35 - GO Two rectangular glass plates n = 1.60 are in...Ch. 35 - SSM ILW Figure 35-46a shows a lens with radius of...Ch. 35 - The lens in a Newtons rings experiment see Problem...Ch. 35 - Prob. 77PCh. 35 - A thin film of liquid is held in a horizontal...Ch. 35 - If mirror M2 in a Michelson interferometer Fig....Ch. 35 - A thin film with index of refraction n = 1.40 is...Ch. 35 - SSM WWW In Fig. 35-48, an airtight chamber of...Ch. 35 - The element sodium can emit light at two...Ch. 35 - Prob. 83PCh. 35 - GO In Figure 35-50, two isotropic point sources S1...Ch. 35 - SSM A double-slit arrangement produces bright...Ch. 35 - GO In Fig. 35-51a, the waves along rays 1 and 2...Ch. 35 - SSM In Fig. 35-51a, the waves along rays 1 and 2...Ch. 35 - Light of wavelength 700.0 nm is sent along a route...Ch. 35 - Prob. 89PCh. 35 - In Fig. 35-54, two isotropic point sources S1 and...Ch. 35 - Prob. 91PCh. 35 - Figure 35-56a shows two light rays that are...Ch. 35 - SSM If the distance between the first and tenth...Ch. 35 - Figure 35-57 shows an optical fiber in which a...Ch. 35 - SSM Two parallel slits are illuminated with...Ch. 35 - A camera lens with index of refraction greater...Ch. 35 - SSM Light of wavelength is used in a Michelson...Ch. 35 - In two experiments, light is to be sent along the...Ch. 35 - Figure 35-58 shows the design of a Texas arcade...Ch. 35 - A thin film suspended in air is 0.410 m thick and...Ch. 35 - Find the slit separation of a double-slit...Ch. 35 - In a phasor diagram for any point on the viewing...Ch. 35 - In Fig. 35-59, an oil drop n = 1.20 floats on the...Ch. 35 - Prob. 104PCh. 35 - The two point sources in Fig. 35-61 emit coherent...
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