College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 17, Problem 26P
A thin film of MgF2 (n = 1.38) coats a piece of glass. Constructive interference is observed for the reflection of light with wavelengths of 500 nm and 625 nm. What is the thinnest film for which this can occur?
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A thin film of MgF2 (n = 1.38) coats a piece of glass. Constructive interference is observed for the reflection of light with wavelengths of 500 nm and 625 nm. What is the thinnest film for which this can occur?
What is the thinnest film of MgF2 (n = 1.38) on glass that produces a strong reflection for orange light with a wavelength of 600 nm?
A thin film of acetone (n =1.25) coats a thick glass plate (n = 1.50).White light is incident normal to the film. In the reflections, fully destructive interference occurs at 600 nm and fully constructive interference at 700 nm. Calculate the thickness of the acetone film.
Chapter 17 Solutions
College Physics: A Strategic Approach (3rd Edition)
Ch. 17 - The frequency of a light wave in air is 5.3 1014...Ch. 17 - Rank in order the following according to their...Ch. 17 - The wavelength of a light wave is 700 nm in air;...Ch. 17 - A double-slit interference experiment shows...Ch. 17 - Figure Q17.5 shows the fringes observed in a...Ch. 17 - In a double-slit interference experiment,...Ch. 17 - Figure Q17.7 shows the viewing screen in a...Ch. 17 - Figure Q17.7 is the interference pattern seen on a...Ch. 17 - Figure Q17.9 shows the light intensity on a...Ch. 17 - Figure Q17.10 shows the light intensity on a...
Ch. 17 - Light with a wavelength of 600 nm is incident on a...Ch. 17 - White light is incident on a diffraction grating....Ch. 17 - Figure Q17.13 shows a light wave incident on and...Ch. 17 - A soap bubble usually pops because some part of it...Ch. 17 - An oil film on top of water has one patch that is...Ch. 17 - Should the antireflection coating of a microscope...Ch. 17 - Example 17.5 showed that a thin film whose...Ch. 17 - Prob. 18CQCh. 17 - Prob. 19MCQCh. 17 - The frequency of a light wave in air is 4.6 1014...Ch. 17 - Light passes through a diffraction grating with a...Ch. 17 - Blue light of wavelength 450 nm passes through a...Ch. 17 - Yellow light of wavelength 590 nm passes through a...Ch. 17 - Light passes through a 10-m-wide slit and is...Ch. 17 - Prob. 25MCQCh. 17 - You want to estimate the diameter of a very small...Ch. 17 - Prob. 1PCh. 17 - a. How long (in ns) does it take light to travel...Ch. 17 - A 5.0-cm-thick layer of oil (n = 1.46) is...Ch. 17 - A light wave has a 670 nm wavelength in air. Its...Ch. 17 - How much time does it take a pulse of light to...Ch. 17 - A helium-neon laser beam has a wavelength in air...Ch. 17 - Two narrow slits 50 m apart are illuminated with...Ch. 17 - Light from a sodium lamp (= 589 nm) illuminates...Ch. 17 - Two narrow slits are illuminated by light of...Ch. 17 - A double-slit experiment is performed with light...Ch. 17 - Light from a helium-neon laser (= 633 nm) is used...Ch. 17 - Two narrow slits are 0.12 mm apart. Light of...Ch. 17 - In a double-slit experiment, the distance from one...Ch. 17 - A diffraction grating with 750 slits/mm is...Ch. 17 - A 1.0-cm-wide diffraction grating has 1000 slits....Ch. 17 - Light of wavelength 600 nm illuminates a...Ch. 17 - A lab technician uses laser light with a...Ch. 17 - The human eye can readily detect wavelengths from...Ch. 17 - A diffraction grating with 600 lines/mm is...Ch. 17 - A 500 line/mm diffraction grating is illuminated...Ch. 17 - What is the thinnest film of MgF2 (n = 1.38) on...Ch. 17 - A very thin oil film (n = 1.25) floats on water (n...Ch. 17 - A film with n = 1.60 is deposited on glass. What...Ch. 17 - Antireflection coatings can be used on the inner...Ch. 17 - Solar cells are given antireflection coatings to...Ch. 17 - A thin film of MgF2 (n = 1.38) coats a piece of...Ch. 17 - Looking straight downward into a rain puddle whose...Ch. 17 - A helium-neon laser (= 633 nm) illuminates a...Ch. 17 - For a demonstration, a professor uses a razor...Ch. 17 - A 0.50-mm-wide slit is illuminated by light of...Ch. 17 - The second minimum in the diffraction pattern of a...Ch. 17 - What is the width of a slit for which the first...Ch. 17 - A 0.50-mm-diameter hole is illuminated by light of...Ch. 17 - Light from a helium-neon laser (= 633 nm) passes...Ch. 17 - You want to photograph a circular diffraction...Ch. 17 - Infrared light of wavelength 2.5 m illuminates a...Ch. 17 - An advanced computer sends information to its...Ch. 17 - Figure P17.38 shows the light intensity on a...Ch. 17 - Figure P17.38 shows the light intensity on a...Ch. 17 - Your friend has been given a laser for her...Ch. 17 - A double slit is illuminated simultaneously with...Ch. 17 - Figure P17.42 shows the light intensity on a...Ch. 17 - A laser beam of wavelength 670 nm shines through a...Ch. 17 - The two most prominent wavelengths in the light...Ch. 17 - A diffraction grating produces a first-order...Ch. 17 - A diffraction grating is illuminated...Ch. 17 - White light (400-700 nm) is incident on a 600...Ch. 17 - A miniature spectrometer used for chemical...Ch. 17 - Figure P17.49 shows the interference pattern on a...Ch. 17 - Figure P17.4919 shows the interference pattern on...Ch. 17 - Because sound is a wave, it is possible to make a...Ch. 17 - The shiny surface of a CD is imprinted with...Ch. 17 - If sunlight shines straight onto a peacock...Ch. 17 - The wings of some beetles have closely spaced...Ch. 17 - A diffraction grating having 500 lines/mm...Ch. 17 - Light emitted by element X passes through a...Ch. 17 - Light of a single wavelength is incident on a...Ch. 17 - A sheet of glass is coated with a 500-nm-thick...Ch. 17 - A soap bubble is essentially a thin film of water...Ch. 17 - A laboratory dish, 20 cm in diameter, is half...Ch. 17 - You need to use your cell phone, which broadcasts...Ch. 17 - Light from a sodium lamp ( = 589 nm) illuminates a...Ch. 17 - The opening to a cave is a tall, 30-cm-wide crack....Ch. 17 - A diffraction grating has 500 slits/mm. What is...Ch. 17 - Figure P17.65 shows the light intensity on a...Ch. 17 - Figure P17.65 shows the light intensity on a...Ch. 17 - Figure P17.67 shows the light intensity on a...Ch. 17 - One day, after pulling down your window shade, you...Ch. 17 - Prob. 70GPCh. 17 - A helium-neon laser ( = 633 nm), shown in Figure...Ch. 17 - In the laser range-finding experiments of Example...Ch. 17 - Prob. 73MSPPCh. 17 - Prob. 74MSPPCh. 17 - Prob. 75MSPP
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- White light reflects at normal incidence from the top and bottom surfaces of a glass plate 1n = 1.522. There is air above and below the plate. Constructive interference is observed for light whose wavelength in air is 477.0 nm. What is the thickness of the plate if the next longer wavelength for which there is constructive interference is 540.6 nm?arrow_forwardAnti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a particular color. Suppose a glass lens (ng = 1.51) is covered with a thin film (nf = 1.32) to prevent green light (λ = 536 nm) from being reflected. Write an expression for the minimum thickness the film can have, t.arrow_forwardWhite light reflects at normal incidence from the top and bottom surfaces of a glass plate (n = 1.52). There is air above and below the plate. Constructive interference is observed for light whose wavelength in air is 477.0 nm. What is the thickness of the plate if the next longer wavelength for which there is constructive interference is 540.6 nm?arrow_forward
- A sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36. What is the longest wavelength of light in the visible region (400 nm - 700 nm) for which you get destructive interference.arrow_forwardA thin film of acetone (n = 1.25) coats a thick glass plate (n = 1.50). White light is incident normal to the film. In the reflections, fully destructive interference occurs at 560 nm and fully constructive interference at 616 nm. Calculate the thickness of the acetone film. Number Units the tolerance is +/-5%arrow_forwardA sheet of glass of refractive index 1.50 is coated with a 400 nm-thick layer of oil of index 1.36. What is the longest wavelength of light in the visible region (400 nm - 700 nm) for which you get desructive interference.arrow_forward
- A thin glass plate (n=1.56) rests on a small pool of water (n=1.333). Light is incident from air onto the surface of the glass plate. Red light of wavelength 680nm (in air) is observed to be most strongly reflected from the glass. What are the three thinnest possible thicknesses of the glass plate?arrow_forwardWe wish to coat flat glass (n = 1.50) with a transparent material (n= 1.25) so that reflection of light at wavelength 600 nm is eliminated by interference.What minimum thickness can the coating have to do this?arrow_forwardA glass plate with a refractive index of 1.50 is covered by a substance with a refractive index of 1.30. The plate is subjected to different light wavelengths, and at 500 nm and 700 nm destructive interference of the reflected light is detected. What is the thickness of the coating? Your solution should incorporate a careful diagram illustrating thin film interference, highlighting the phase changes of the primary light rays.arrow_forward
- Light of wavelength 636 nm is reflected most strongly from a layer of oil film (n =1.40) floating on water. What is the minimum thickness of the film?arrow_forwardYou wish to make an anti-reflective coating from a material with index of refraction 1.61 to put on top of glass with an index of refraction 1.31. What is the minimum thickness of the coating that will produce destructive interference for light of wavelength 609.0 nm? Answer in units of nm.arrow_forwardAnti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a particular color. Suppose a glass lens (ng = 1.51) is covered with a thin film (nf = 1.32) to prevent green light (λ = 536 nm) from being reflected. Part (a) Write an expression for the minimum thickness the film can have, t. Part (b) Calculate the minimum thickness, t, in nanometers?arrow_forward
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