If a thin film has a thickness that is(a)1/4 of a wavelength, constructive interference will alwaysoccur.(b) 1/4 of a wavelength, destructive interference will alwaysoccur.(c) 1/2 of a wavelength, constructive interference will alwaysoccur.(d)1/2 of a wavelength, destructive interference will alwaysoccur.(e) None of the above is always true.

If a thin film has a thickness that is(a)1/4 of a wavelength, constructive interference will alwaysoccur.(b) 1/4 of a wavelength, destructive interference will alwaysoccur.(c) 1/2 of a wavelength, constructive interference will alwaysoccur.(d)1/2 of a wavelength, destructive interference will alwaysoccur.(e) None of the above is always true.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter35: Diffraction And Interference

Section: Chapter Questions

Problem 45PQ

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Similar questions

A beam of monochromatic green light is diffracted by a slit of width 0.550 mm. The diffraction pattern forms on a wall 2.06 m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.10 mm. Calculate the wavelength of the light.
An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?
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.
Consider a wave passing through a single slit. What happens to the width of the central maximum of its diffraction pattern as the slit is made half as wide? (a) It becomes one-fourth as wide. (b) It becomes one-half as wide. (c) Its width does not change. (d) It becomes twice as wide. (e) It becomes four times as wide.
A 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 mm
Two slits are separated by 0.180 mm. An interference pattern is formed on a screen 80.0 cm away by 656.3-nm light. Calculate the fraction of the maximum intensity a distance y = 0.600 cm away from the central maximum.
assume that two waves of light in air, of wavelength 400 nm, are initially in phase. One travels through a glass layer of index of refraction n1 = 1.60 and thickness L. The other travels through an equally thick plastic layer of index of refraction n2 = 1.50. (a) What is the smallest value L should have if the waves are to end up with a phase difference of 5.65 rad? (b) If the waves arrive at some common point with the same amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully constructive, or intermediate but closer to fully destructive?
What is the effect on the interference fringes in a Young’s double-slit experiment due to each of the following operations:(a) the screen is moved away from the plane of the slits;(b) the (monochromatic) source is replaced by another(monochromatic) source of shorter wavelength;(c) the separation between the two slits is increased;(d) the source slit is moved closer to the double-slit plane;(e) the width of the source slit is increased;(f) the monochromatic source is replaced by a source of white light? (In each operation, take all parameters, other than the one specified,to remain unchanged.)
A wide beam of laser light with a wavelength of 632.8 nm is directed through several narrow parallel slits, separated by 1.20 mm, and falls on a sheet of photographic film 1.40 m away. The exposure time is chosen so that the film stays unexposed everywhere except at the central region of each bright fringe. (a) Find the distance between these interferencemaxima. The film is printed as a transparency; it is opaque everywhere except at the exposed lines. Next, the same beam of laser light is directed through the transparency and allowed to fall on a screen 1.40 m beyond. (b) Argue that several narrow, parallel, bright regions, separated by 1.20 mm, appear on the screen as real images of the original slits. (A similar train of thought, at a soccer game, led Dennis Gabor to invent holography.)
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You wish to make an anti-reflective coating from a material with index of refraction 1.09 to put on top of glass with an index of refraction 1.64. What is the minimum thickness of the coating that will produce destructive interference for light of wavelength 456.0 nm? Answer in units of nm.
Consider a dark fringe in an interference pattern at which almost no light energy is arriving. Light from both slits is arriving at this point, but the waves cancel. Where does the energy go?