Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 27, Problem 6OQ
To determine
The minimum nonzero thickness of oil film required for the strong reflection of green light.
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Given solution A&B
A)
What is the longest wavelength of light that will experience constructive interference when viewed from directly above if the layer of mineral oil is 120 nm thick?
a) 240 nm b) 350 nm c) 480 nm d) 640 nm e) 700 nm
B)
If the layer of mineral oil stretches out and becomes thinner as it does so the above answer:
a) increases b) decreases c) remains the same
A thin layer of oil (n = 1.25) is floating on water (n = 1.33). What is the minimum nonzero thickness of the oil in the region that strongly reflects green light (λ = 530 nm)?
(a) 500 nm(b) 313 nm
(c) 404 nm
(d) 212 nm
(e) 285 nm
A thin film of glycerin (n = 1.473) of thickness 486 nm with air on both sides is illuminated with white light at near normal incidence. What wavelengths will be strongly reflected in the range 300 nm to 700 nm?
nm (smallest value)
nm
nm (largest value)
Chapter 27 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 27.3 - Which of the following causes the fringes in a...Ch. 27.5 - In a laboratory accident, you spill two liquids...Ch. 27.5 - Prob. 27.3QQCh. 27.6 - Prob. 27.4QQCh. 27.7 - Suppose you are observing a binary star with a...Ch. 27.8 - Ultraviolet light of wavelength 350 nm is incident...Ch. 27 - Consider a wave passing through a single slit....Ch. 27 - Prob. 2OQCh. 27 - Suppose Youngs double-slit experiment is performed...Ch. 27 - Prob. 4OQ
Ch. 27 - Prob. 5OQCh. 27 - Prob. 6OQCh. 27 - A monochromatic beam of light of wavelength 500 nm...Ch. 27 - A film of oil on a puddle in a parking lot shows a...Ch. 27 - Prob. 9OQCh. 27 - A Fraunhofer diffraction pattern is produced on a...Ch. 27 - Prob. 11OQCh. 27 - Prob. 12OQCh. 27 - Why is it advantageous to use a large-diameter...Ch. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - Prob. 3CQCh. 27 - Prob. 4CQCh. 27 - Why is the lens on a good-quality camera coated...Ch. 27 - Prob. 6CQCh. 27 - Prob. 7CQCh. 27 - Prob. 8CQCh. 27 - A laser beam is incident at a shallow angle on a...Ch. 27 - Prob. 10CQCh. 27 - Prob. 11CQCh. 27 - Prob. 12CQCh. 27 - John William Strutt, Lord Rayleigh (1842–1919),...Ch. 27 - Prob. 1PCh. 27 - Youngs double-slit experiment underlies the...Ch. 27 - Two radio antennas separated by d = 300 m as shown...Ch. 27 - Prob. 4PCh. 27 - Prob. 5PCh. 27 - Prob. 6PCh. 27 - In Figure P27.7 (not to scale), let L = 1.20 m and...Ch. 27 - Prob. 8PCh. 27 - Prob. 9PCh. 27 - Prob. 10PCh. 27 - Two slits are separated by 0.180 mm. An...Ch. 27 - Prob. 12PCh. 27 - A pair of narrow, parallel slits separated by...Ch. 27 - Coherent light rays of wavelength strike a pair...Ch. 27 - Prob. 15PCh. 27 - Prob. 16PCh. 27 - A riverside warehouse has several small doors...Ch. 27 - Prob. 18PCh. 27 - Prob. 19PCh. 27 - Astronomers observe the chromosphere of the Sun...Ch. 27 - Prob. 21PCh. 27 - Prob. 22PCh. 27 - A beam of 580-nm light passes through two closely...Ch. 27 - Prob. 24PCh. 27 - An air wedge is formed between two glass plates...Ch. 27 - Prob. 26PCh. 27 - Prob. 27PCh. 27 - Prob. 28PCh. 27 - Prob. 29PCh. 27 - Prob. 30PCh. 27 - Prob. 31PCh. 27 - Prob. 32PCh. 27 - A beam of monochromatic green light is diffracted...Ch. 27 - Prob. 34PCh. 27 - Prob. 35PCh. 27 - Prob. 36PCh. 27 - Prob. 37PCh. 27 - Prob. 38PCh. 27 - Prob. 39PCh. 27 - White light is spread out into its spectral...Ch. 27 - Prob. 41PCh. 27 - Prob. 42PCh. 27 - Prob. 43PCh. 27 - Prob. 44PCh. 27 - Prob. 45PCh. 27 - Prob. 46PCh. 27 - Prob. 47PCh. 27 - Prob. 48PCh. 27 - Prob. 49PCh. 27 - Prob. 50PCh. 27 - Prob. 51PCh. 27 - A wide beam of laser light with a wavelength of...Ch. 27 - Prob. 53PCh. 27 - Prob. 54PCh. 27 - Prob. 55PCh. 27 - Prob. 56PCh. 27 - Prob. 57PCh. 27 - Prob. 58PCh. 27 - Prob. 59PCh. 27 - Prob. 60PCh. 27 - Prob. 61PCh. 27 - Prob. 62PCh. 27 - Both sides of a uniform film that has index of...Ch. 27 - Prob. 64PCh. 27 - Light of wavelength 500 nm is incident normally on...Ch. 27 - Prob. 66PCh. 27 - A beam of bright red light of wavelength 654 nm...Ch. 27 - Iridescent peacock feathers are shown in Figure...Ch. 27 - Prob. 69PCh. 27 - Prob. 70PCh. 27 - Figure CQ27.4 shows an unbroken soap film in a...
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- Both 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_forwardWhite light is incident at near normal on a thin film of thickness 542 nm and index of refraction n = 1.473. The film is surrounded by air on all sides. What is the shortest wavelength that will be strongly reflected in the range [300 nm, 700 nm]? Group of answer choices 355 nm 323 nm 311 nm 339 nmarrow_forwardWhite 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_forward
- Fig. 1 shows two light rays of wavelength 610 nm traveling from air through two different media with refractive indices n1 = 1.5 and n2 = 1.6 and to air again. Assuming that the two waves are initially out of phase by 180° and they become exactly in phase once they pass through the two media, determine (a) the smallest possible value of L. (b) the second smallest possible value of L.arrow_forwardA 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 nmarrow_forwardA thin film of glycerin (n = 1.473) of thickness 525 nm with air on both sides is illuminated with white light at near normal incidence. What wavelengths will be strongly reflected in the range 300 nm to 700 nm? answer nm (smallest value) answer nm answer nm (largest value)arrow_forward
- A 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_forwardIn a location where the speed of sound is 354 m/s, a 2.00 kHz sound wave impinges on two slits 30.0 cm apart. (a) At what angle is the first maximum located? (b) If the sound wave is replaced by 3.00 - cm microwaves, what slit separation gives the same angle for the first maximum? (c) If the slit separation is 1.00 mm, what frequency of light gives the same first maximum angle?arrow_forwardA thin film of soap with n = 1.40 hanging in the air reflects dominantly red light with λ = 664 nm. Now this film is on a sheet of glass, with n = 1.55. What is the wavelength of the light in air that will now be predominantly reflected?arrow_forward
- To 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_forwardFigure CQ24.7 shows rays with wavelength l incident from above onto thin films surrounded by air. (a) Will the film in Figure CQ24.7a appear bright due to constructive interference or dark due to destructive interference? Indicate your answer with B for bright or D for dark. (b) Repeat part (a) for Figure CQ24.7b. (c) Repeat part (a) for Figure CQ24.7c.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_forward
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