Physics of Everyday Phenomena
9th Edition
ISBN: 9781259894008
Author: W. Thomas Griffith, Juliet Brosing Professor
Publisher: McGraw-Hill Education
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Chapter 16, Problem 20CQ
To determine
Check whether the light from an antireflection coating of eyeglass undergo constructive or destructive interference.
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A lens made of glass (ng = 1.52) is coated with a thin film of SiO (ns = 1.45) of thickness t. Visible light is incident normally on the coated lens as in the figure below.
(a) For what minimum value of t will the reflected light of wavelength 565 nm (in air) be missing?nm(b) Are there other values of t that will minimize the reflected light at this wavelength?
YesNo
Explain.
The rhinestones in costume jewelry are glass with index of refraction 1.50.
To make them more reflective, they are often coated with a layer of silicon
monoxide of index of refraction 2.00. What is the minimum coating
thickness needed to ensure that light of wavelength 467 nm and of
perpendicular incidence will be reflected from the two surfaces of the
coating with fully constructive interference?
Number
Units
A film of magnesium fluoride (n = 1.38) is used to coat a glass camera lens (n = 1.52). If the thickness of the film is 105 nm, calculate the wavelength of visible light that will have the most limited reflection.
Chapter 16 Solutions
Physics of Everyday Phenomena
Ch. 16 - What characteristic of the electromagnetic waves...Ch. 16 - Prob. 2CQCh. 16 - Is it possible for an electromagnetic wave to...Ch. 16 - For which of the following characteristicsspeed,...Ch. 16 - Prob. 5CQCh. 16 - What is the color of light with a wavelength of...Ch. 16 - Prob. 7CQCh. 16 - Prob. 8CQCh. 16 - Prob. 9CQCh. 16 - A color TV uses red, green, and blue phosphors to...
Ch. 16 - Skylight is produced by the scattering of the suns...Ch. 16 - Prob. 12CQCh. 16 - Prob. 13CQCh. 16 - Prob. 14CQCh. 16 - If two waves start out in phase with each other,...Ch. 16 - Prob. 16CQCh. 16 - Prob. 17CQCh. 16 - Prob. 18CQCh. 16 - Prob. 19CQCh. 16 - Prob. 20CQCh. 16 - Why do lenses with a reflective coating appear to...Ch. 16 - Prob. 22CQCh. 16 - Prob. 23CQCh. 16 - Prob. 24CQCh. 16 - Prob. 25CQCh. 16 - Prob. 26CQCh. 16 - Can a wave on a guitar string be polarized?...Ch. 16 - Prob. 28CQCh. 16 - Prob. 29CQCh. 16 - Prob. 30CQCh. 16 - Prob. 31CQCh. 16 - Prob. 32CQCh. 16 - Microwaves used in microwave ovens often have a...Ch. 16 - What is the wavelength of the radio waves from a...Ch. 16 - Prob. 3ECh. 16 - Prob. 4ECh. 16 - Light with a wavelength of 700 nm (7 107 m) is...Ch. 16 - Prob. 6ECh. 16 - An orange fringe produced by double-slit...Ch. 16 - Violet light of 425 nm is reflected from a thin...Ch. 16 - An antireflection coating is designed with a...Ch. 16 - Light with a wavelength of 480 nm (4.8 107 m)...Ch. 16 - Prob. 11ECh. 16 - A diffraction grating has 2200 slits or lines...Ch. 16 - Prob. 13ECh. 16 - When passed through a diffraction grating with a...Ch. 16 - Prob. 1SPCh. 16 - Prob. 2SPCh. 16 - Prob. 3SPCh. 16 - A certain soap film has an index of refraction...
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- Interference fringes are produced using Lloyds mirror and a source S of wavelength = 606 nm as shown in Figure P36.41. Fringes separated by y = 1.20 mm are formed on a screen a distance L = 2.00 m from the source. Find the vertical distance h of the source above the reflecting surface. Figure P36.41arrow_forwardIn 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_forwardIn Figure P36.10 (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? Figure P36.10arrow_forward
- In the double-slit arrangement of Figure P36.13, d = 0.150 mm, L = 140 cm, = 643 nm. and y = 1.80 cm. (a) What is the path difference for the rays from the two slits arriving at P? (b) Express this path difference in terms of . (c) Does P correspond to a maximum, a minimum, or an intermediate condition? Give evidence for your answer. Figure P36.13arrow_forwardSuppose Youngs double-slit experiment is performed in air using red light and then the apparatus is immersed in water. What happens to the interference pattern on the screen? (a) It disappears. (b) The bright and dark fringes stay in the same locations, but the contrast is reduced. (c) The bright fringes are closer together. (d) The bright fringes are farther apart. (e) No change happens in the interference pattern.arrow_forwardProblem 12: Anti-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 = 1.31) to prevent green light (λ = 520 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
- Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a particular color. Suppose a glass lens (ng = 1.6) is covered with a thin film (nf = 1.32) to prevent green light (λ = 538 nm) from being reflected. Write an expression for the minimum thickness the film can have, t.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_forwardLaser light of wavelength 627.0 nm passes through a double-slit arrangement at the front of a lecture room, reflects off a mirror 29.2 m away at the back of the room, and then produces an interference pattern on a screen at the front of the room. The distance between adjacent bright fringes is 9.52 cm. What is the slit separation in meters? Number i 0.000192 Units marrow_forward
- 2. A transparent material of index 1.26 is coating a glass lens of index 1.55. Determine the smallest film thickness that would lead to a minimum reflection (i.e., destructive interference) of 730 nm light, from this air-film-glass combination.arrow_forwardYou have been tasked with designing an anti-reflective coating for a camera lens. If the material you are using for the thin film, the antireflective coating has an n=1.38, and a coating is designed to eliminate reflected light of 550 nm in air when incident normally on glass (n=1.50), what thickness should the film be? A: what color would the lens look like B: why does this effect indicate that light behaves like a wave I already know the thickness, it is 99.6. I need help with parts A and B.arrow_forwardRed, green and blue light are incident on a thin film. The light that reflects from the surface appears to be Green, which of the following is the most likely scenario. The red light is experiencing destructive interference. The green light is experiencing constructive interference. The blue and red light are experiencing destructive interference. More than one scenario is equally likely.arrow_forward
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