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 - 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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- A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?arrow_forwardBoth sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.arrow_forwardA Fraunhofer diffraction pattern is produced on a screen located 1.00 m from a single slit. If a light source of wavelength 5.00 107 m is used and the distance from the center of the central bright fringe to the first dark fringe is 5.00 103 m, what is the slit width? (a) 0.010 0 mm (b) 0.100 mm (c) 0.200 mm (d) 1.00 mm (e) 0.005 00 mmarrow_forward
- Table P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80arrow_forwardThe movable mirror of a Michelson interferometer is attached to one end of a thin metal rod of length 23.3 mm. The other end of the rod is anchored so it does not move. As the temperature of the rod changes from 15°C to 25 C , a change of 14 fringes is observed. The light source is a He Ne laser, =632.8 nm . What is the change in length of the metal bar, and what is its thermal expansion coefficient?arrow_forwardFor 600-nm wavelength light and a slit separation of 0.12 mm, what are the angular positions of the first and third maxima in the double slit interference pattern?arrow_forward
- Figure P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53arrow_forwardA 5.08-cm-long rectangular glass chamber is inserted into one arm of a Michelson interferometer using a 633-nm light source. This chamber is initially filled with air (n=1.000293) at standard atmospheric pressure but the air is gradually pumped out using a vacuum pump until a near perfect vacuum is achieved. How many fringes are observed moving by during the transition?arrow_forwardA monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 radarrow_forward
- In Figure P27.7 (not to scale), let L = 1.20 m and d = 0.120 mm and assume the slit system is illuminated with monochromatic 500-nm light. Calculate the phase difference between the two wave fronts arriving at P when (a) = 0.500 and (b) y = 5.00 mm. (c) What is the value of for which the phase difference is 0.333 rad? (d) What is the value of for which the path difference is /4?arrow_forwardA 65-fringe shift results in a Michelson interferometer when a 42.0-µm film made of an unknown material is placed in one arm. The light source has wavelength 632.9 nm. Identify the material using the indices of refraction found in Table 1.1.arrow_forwardAn experimenter detects 251 fringes when the movable mirror in a Michelson interferometer is displaced. The light source used is a sodium lamp, wavelength 589 nm. By what distance did the movable mirror move?arrow_forward
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