Fundamentals of Physics
Fundamentals of Physics
10th Edition
ISBN: 9781118230718
Author: David Halliday
Publisher: Wiley, John & Sons, Incorporated
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Chapter 35, Problem 80P

A thin film with index of refraction n = 1.40 is placed in one arm of a Michelson interferometer, perpendicular to the optical path. If this causes a shift of 7.0 bright fringes of the pattern produced by light of wavelength 589 nm, what is the film thickness?

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A thin film with index of refraction n = 1.40 is placed in one arm of a Michelson interferometer, perpendicular to the optical path. If this causes a shift of 7.0 bright fringes of the pattern produced by light of wavelength 589 nm, what is the film thickness?
A thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 µm thick. When it is inserted in the light path along one arm of an interferometer, how many fringe shifts occur in the pattern? Assume the wavelength (in a vac- uum) of the light used is 600 nm. Hint: The wavelength will change within the material.
The Michelson interferometer can be used to measure the index of refraction of a gas by placing an evacuated transparent tube in the light path along one arm of the device. Fringe shifts occur as the gas is slowly added to the tube. Assume 610-nm light is used, the tube is 5.40 cm long, and 168 bright fringes pass on the screen as the pressure of the gas in the tube increases to atmospheric pressure. What is the index of refraction of the gas? Hint: The fringe shifts occur because the wavelength of the light changes inside the gas-filled tube. (Give your answer to at least five decimal places.)

Chapter 35 Solutions

Fundamentals of Physics

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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