University Physics, Volume 2 (Chs. 21-37) (14th Edition)
14th Edition
ISBN: 9780133978001
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 35, Problem 35.14DQ
A very thin soap film (n = 1.33), whose thickness is much less than a
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A thin layer of liquid methylene iodide (n = 1.76) is sandwiched between two flat, parallel plates of glass (n = 1.42). What is the minimum thickness of the liquid layer if normally incident light with λ= 550 nm in air is to be strongly reflected?
63.0 nm
99.2 nm
78.1 nm
126.0 nm
A lens made of glass (ng =1.52) is coated with a thin film of MgF2 (ns = 1.38) of thickness t. Visible light is incident normally on the coated lens as in Figure P24.30. (a) For what minimum value of t will the reflected light of wavelength 5.40 x 102 nm (in air) be missing? (b) Are there other values of t that will minimize the reflected light at this wavelength? Explain.
A thin layer of liquid methylene iodide (n = 1.89) issandwiched between two flat, parallel plates of glass (n =1.42). What must be the thickness of the liquid layer if normallyincident light with λ =620 nm in air is to be strongly reflected?
82.0 nm
126.0nm
104.2 nm
78.6 nm
none
Chapter 35 Solutions
University Physics, Volume 2 (Chs. 21-37) (14th Edition)
Ch. 35.1 - Consider a point in Fig. 35.3 on the positive...Ch. 35.2 - You shine a tunable laser (whose wavelength can be...Ch. 35.3 - A two-slit interference experiment uses coherent...Ch. 35.4 - A thin layer of benzene (n = 1.501) lies on top of...Ch. 35.5 - You are observing the pattern of fringes in a...Ch. 35 - A two-slit interference experiment is set up, and...Ch. 35 - Could an experiment similar to Youngs two-slit...Ch. 35 - Monochromatic coherent light passing through two...Ch. 35 - In a two-slit interference pattern on a distant...Ch. 35 - Would the headlights of a distant car form a...
Ch. 35 - The two sources S1 and S2 shown in Fig. 35.3 emit...Ch. 35 - Could the Young two-slit interference experiment...Ch. 35 - Coherent red light illuminates two narrow slits...Ch. 35 - Coherent light with wavelength falls on two...Ch. 35 - Prob. 35.10DQCh. 35 - If the monochromatic light shown in Fig. 35.5a...Ch. 35 - In using the superposition principle to calculate...Ch. 35 - Prob. 35.13DQCh. 35 - A very thin soap film (n = 1.33), whose thickness...Ch. 35 - Interference can occur in thin films. Why is it...Ch. 35 - If we shine while light on an air wedge like that...Ch. 35 - Prob. 35.17DQCh. 35 - When a thin oil film spreads out on a puddle of...Ch. 35 - Section 35.1 Interference and Coherent Sources...Ch. 35 - Two speakers that are 15.0 m apart produce...Ch. 35 - A radio transmitting station operating at a...Ch. 35 - Radio Interference. Two radio antennas A and B...Ch. 35 - Prob. 35.5ECh. 35 - Two light sources can be adjusted to emit...Ch. 35 - Section 35.2 Two-Source Interference of Light...Ch. 35 - Coherent light with wavelength 450 nm falls on a...Ch. 35 - Two slits spaced 0.450 mm apart are placed 75.0 cm...Ch. 35 - If the entire apparatus of Exercise 35.9 (slits,...Ch. 35 - Two thin parallel slits that are 0.0116 mm apart...Ch. 35 - Coherent light with wavelength 400 nm passes...Ch. 35 - Two very narrow slits are spaced 1.80 m apart and...Ch. 35 - Coherent light that contains two wavelengths. 660...Ch. 35 - Coherent light with wavelength 600 nm passes...Ch. 35 - Coherent light of frequency 6.32 1014 Hz passes...Ch. 35 - In a two-slit interference pattern, the intensity...Ch. 35 - Coherent sources A and B emit electromagnetic...Ch. 35 - Coherent light with wavelength 500 nm passes...Ch. 35 - Two slits spaced 0.260 mm apart are 0.900 m from a...Ch. 35 - Consider two antennas separated by 9.00 m that...Ch. 35 - Two slits spaced 0.0720 mm apart are 0.800 m from...Ch. 35 - What is the thinnest film of a coating with n =...Ch. 35 - Nonglare Glass. When viewing a piece of art that...Ch. 35 - Two rectangular pieces of plane glass are laid one...Ch. 35 - A place of glass 9.00 cm long is placed in contact...Ch. 35 - A uniform film of TiO2, 1036 nm thick and having...Ch. 35 - A plastic film with index of refraction 1.70 is...Ch. 35 - The walls of a soap bubble have about the same...Ch. 35 - A researcher measures the thickness of a layer of...Ch. 35 - Prob. 35.31ECh. 35 - What is the thinnest soap film (excluding the case...Ch. 35 - How far must the mirror M2 (see Fig. 35.19) of the...Ch. 35 - Jan first uses a Michelson interferometer with the...Ch. 35 - One round face of a 3.25-m, solid, cylindrical...Ch. 35 - Newtons rings are visible when a planoconvex lens...Ch. 35 - BIO Coating Eyeglass Lenses. Eyeglass lenses can...Ch. 35 - BIO Sensitive Eyes. After an eye examination, you...Ch. 35 - Two flat plates of glass with parallel faces are...Ch. 35 - In a setup similar to that of Problem 35.39, the...Ch. 35 - Suppose you illuminate two thin slits by...Ch. 35 - CP CALC A very thin sheet of brass contains two...Ch. 35 - Two radio antennas radiating in phase are located...Ch. 35 - Prob. 35.44PCh. 35 - CP A thin uniform film of refractive index 1.750...Ch. 35 - GPS Transmission. The GPS (Global Positioning...Ch. 35 - White light reflects at normal incidence from the...Ch. 35 - Laser light of wavelength 510 nm is traveling in...Ch. 35 - Red light with wavelength 700 nm is passed through...Ch. 35 - BIO Reflective Coatings and Herring. Herring and...Ch. 35 - After a laser beam passes through two thin...Ch. 35 - DATA In your summer job at an optics company, you...Ch. 35 - DATA Short-wave radio antennas A and B are...Ch. 35 - DATA In your research lab, a very thin, flat piece...Ch. 35 - CP The index of refraction of a glass rod is 1.48...Ch. 35 - CP Figure P35.56 shows an interferometer known as...Ch. 35 - INTERFERENCE AND SOUND WAVES. Interference occurs...Ch. 35 - The professor returns the apparatus to the...Ch. 35 - The professor again returns the apparatus to its...Ch. 35 - The professor once again returns the apparatus to...
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- A glass lens has a coating placed on it. If a film of magnesium fluoride, n = 1.38, is placed on the glass, n = 1.52, how thick should the layer be to keep yellow-green light from being reflected? A. 92 nm B. 101 nm C. 140 nm D. 192 nmarrow_forwardA thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates of glass (n = 1.50). What is the minimum thickness of the liquid layer if normally incident light with λ = 6.00 × 102 nm in air is to be strongly reflected?arrow_forwardA glass lens, ?glass=1.52, has a 119 nm thick antireflective film coating one side, ?film=1.35. White light, moving through the air, is perpendicularly incident on the coated side of the lens. What is the largest wavelength of the reflected light that is totally removed by the coating? Assume that ?air=1.00. largest removed wavelength:arrow_forward
- A plano-convex lens rests with its curved side on a flat glass surface and is illuminated from above by light of wavelength 464 nm. A dark spot is observed at the center, surrounded by 19 concentric dark rings (with bright rings in between). How much thicker is the air wedge at the position of the 19th dark ring than at the center? 2.41 um 2.97 um 3.77 um 4.41 umarrow_forwardTo keep unwanted light from reflecting from the surface of eyeglasses or other lenses, a thin film of a material with an index of refraction n = 1.38 iscoated onto the plastic lens (n = 1.55). What is the thinnest film that will minimize reflection for λ = 550 nm, the middle of the visible-light spectrum?arrow_forwardA thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates of glass (n = 1.50). What must be the thickness of the liquid layer if normally incident light with ? = 682 nm in air is to be strongly reflected? nmarrow_forward
- White light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2 (n=1.38). For what minimum thickness of the film will the reflections at the two interfaces result in total destructive interference of yellow light of wavelength 580 nm (in air)?arrow_forwardA 130 nm130 nm thick anti‑reflective film, with an index of refraction of 1.37,1.37, is placed on one side of a glass lens, which has an index of refraction of 1.52. For light moving through air and normally incident on the film, determine the largest wavelength of light that is not reflected.arrow_forwardA camera lens with index of refraction greater than 1.30 is coated with a thin transparent film of index of refraction 1.25 to eliminate by interference the reflection of light at wavelength l that is incident perpendicularly on the lens. What multiple of l gives the minimum film thickness needed?arrow_forward
- Interference effects are produced at point P on a screen as a result of direct rays from a 5.00 x 102 - nm source and reflected rays off a mirror, as shown in Figure P24.67. If the source is L = 1.00 x 102 m to the left of the screen and h = 1.00 cm above the mirror, find the distance y (in millimeters) to the first dark band above the mirror.arrow_forwardA tempered glass is placed atop a phone screen (n=1.52). Green light (540 nm) is incident from air onto the tempered glass (1.60). What is the minimum thickness of the tempered glass for the incident light to appear constructively? 0 [nm] 632 [nm] 169 [nm] 84 [nm]arrow_forwardA thin layer of a transparent material that has an index of refraction of 1.25 is used as a nonreflective coating on the surface of glass that has an index of refraction of 1.50. What should the minimum thickness of the material be for the material to be nonreflecting for light that has a wavelength of 578 nm?arrow_forward
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