Physics
5th Edition
ISBN: 9781260486919
Author: GIAMBATTISTA
Publisher: MCG
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Chapter 25, Problem 92P
To determine
Show that distance between fringes in constructive interference is
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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 interfacesresult in total destructive interference of yellow light of wavelength 580 nm (in air)?
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)?
On the soap film (n=1,3), which is in the air, a normal beam of white light rays falls. At what is the smallest thickness d of the film, the reflected light with a wavelength of 0.65 microns will be maximally attenuated as a result of interference?
Chapter 25 Solutions
Physics
Ch. 25.1 - Prob. 25.1CPCh. 25.1 - Path Difference for Destructive Interference...Ch. 25.2 - Prob. 25.2PPCh. 25.3 - Prob. 25.3CPCh. 25.3 - Prob. 25.3PPCh. 25.4 - Prob. 25.4PPCh. 25.4 - Prob. 25.5PPCh. 25.5 - Prob. 25.5CPCh. 25.5 - Prob. 25.6PPCh. 25.6 - Prob. 25.7PP
Ch. 25.7 - Prob. 25.8PPCh. 25.8 - Prob. 25.9PPCh. 25 - Prob. 1CQCh. 25 - Prob. 2CQCh. 25 - Prob. 3CQCh. 25 - Prob. 4CQCh. 25 - Prob. 5CQCh. 25 - Prob. 6CQCh. 25 - Prob. 7CQCh. 25 - Prob. 8CQCh. 25 - Prob. 9CQCh. 25 - Prob. 10CQCh. 25 - Prob. 11CQCh. 25 - 12. In Section 25.3 we studied interference due to...Ch. 25 - Prob. 13CQCh. 25 - Prob. 14CQCh. 25 - Prob. 15CQCh. 25 - Prob. 16CQCh. 25 - Prob. 17CQCh. 25 - Prob. 18CQCh. 25 - Prob. 19CQCh. 25 - Prob. 20CQCh. 25 - Prob. 21CQCh. 25 - Prob. 1MCQCh. 25 - Prob. 2MCQCh. 25 - Prob. 3MCQCh. 25 - Prob. 4MCQCh. 25 - Prob. 5MCQCh. 25 - Prob. 6MCQCh. 25 - 7. Coherent light of a single frequency passes...Ch. 25 - Prob. 8MCQCh. 25 - Prob. 9MCQCh. 25 - Prob. 10MCQCh. 25 - Prob. 1PCh. 25 - Prob. 2PCh. 25 - Prob. 3PCh. 25 - Prob. 4PCh. 25 - Prob. 5PCh. 25 - Prob. 6PCh. 25 - Prob. 7PCh. 25 - Prob. 8PCh. 25 - Prob. 9PCh. 25 - Prob. 10PCh. 25 - Prob. 11PCh. 25 - Prob. 12PCh. 25 - Prob. 13PCh. 25 - Prob. 14PCh. 25 - Prob. 15PCh. 25 - 16. A transparent film (n = 1.3) is deposited on a...Ch. 25 - 17. A camera lens (n = 1.50) is coated with a thin...Ch. 25 - 18. A soap film has an index of refraction n =...Ch. 25 - Prob. 19PCh. 25 - Prob. 20PCh. 25 - Prob. 21PCh. 25 - Prob. 22PCh. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - Prob. 25PCh. 25 - Prob. 26PCh. 25 - Prob. 27PCh. 25 - Prob. 36PCh. 25 - Prob. 28PCh. 25 - Prob. 32PCh. 25 - Prob. 29PCh. 25 - Prob. 30PCh. 25 - Prob. 31PCh. 25 - Prob. 34PCh. 25 - Prob. 33PCh. 25 - Prob. 35PCh. 25 - Prob. 37PCh. 25 - Prob. 38PCh. 25 - Prob. 39PCh. 25 - Prob. 40PCh. 25 - Prob. 41PCh. 25 - Prob. 42PCh. 25 - Prob. 43PCh. 25 - 44. ✦ White light containing wavelengths from 400...Ch. 25 - Prob. 45PCh. 25 - Prob. 46PCh. 25 - 47. The central bright fringe in a single-slit...Ch. 25 - Prob. 48PCh. 25 - Prob. 49PCh. 25 - Prob. 50PCh. 25 - Prob. 51PCh. 25 - Prob. 52PCh. 25 - Prob. 53PCh. 25 - Prob. 54PCh. 25 - Prob. 55PCh. 25 - Prob. 56PCh. 25 - Prob. 57PCh. 25 - Prob. 58PCh. 25 - Prob. 60PCh. 25 - Prob. 61PCh. 25 - Prob. 59PCh. 25 - Prob. 62PCh. 25 - 63. ✦ If you shine a laser with a small aperture...Ch. 25 - Prob. 64PCh. 25 - Prob. 65PCh. 25 - Prob. 66PCh. 25 - Prob. 67PCh. 25 - Prob. 68PCh. 25 - Prob. 69PCh. 25 - 70. Coherent green light with a wavelength of 520...Ch. 25 - Prob. 71PCh. 25 - Prob. 72PCh. 25 - Prob. 73PCh. 25 - Prob. 74PCh. 25 - Prob. 75PCh. 25 - Prob. 76PCh. 25 - Prob. 77PCh. 25 - Prob. 78PCh. 25 - Prob. 91PCh. 25 - Prob. 79PCh. 25 - Prob. 80PCh. 25 - Prob. 81PCh. 25 - Prob. 82PCh. 25 - Prob. 83PCh. 25 - Prob. 84PCh. 25 - Prob. 85PCh. 25 - Prob. 86PCh. 25 - Prob. 87PCh. 25 - Prob. 88PCh. 25 - Prob. 89PCh. 25 - Prob. 90PCh. 25 - Prob. 93PCh. 25 - Prob. 92PCh. 25 - Prob. 94PCh. 25 - Prob. 95PCh. 25 - Prob. 96PCh. 25 - Prob. 97P
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- Why is it much more difficult to see interference fringes for light reflected from a thick piece of glass than from a thin film? Would it be easier if monochromatic light were used?arrow_forwardFig. 1 shows two light rays of wavelength 610 nm traveling from air through twodifferent media with refractive indices n1 = 1.5 and n2 = 1.6 and to air again. Assumingthat 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_forwardassume 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?arrow_forward
- Consider the perpendicular reflection of light of wavelength 520 nm in air from a soap film with refractive index 1.32 that has air on both sides. Find the thickness, in nanometers, of the thinnest soap film that will cause constructive interference for the reflected light. t =?arrow_forwardFig. 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 glass sheet 1.10 μm thick is suspended in air. In reflected light, there are gaps in the visible spectrum at 573 nm and 645.00 nm. Calculate the minimum value of the index of refraction ?n of the glass sheet that produces this effect. ?=arrow_forward
- White light (consisting of wavelengths from 400 nm to 700 nm) is normally incident on a grating. Show that, no matter what the value of the grating spacing d, the second order and third order overlap.arrow_forwardA beam of light with wavelength 440 nm in air hits a thin piece of glass 10.28 microns thick (with refractive index 1.55) at an angle of 40.8 degrees to the normal. What is the path difference between the two reflections from the layers of the glass, in wavelengths? [Note to get the phase shift we multiply this number by 2π, but this is modulo 2π, i.e. any integer number of wavelengths are 2π phase shifts, equivalent to no phase shift... basically in terms of phase we only really need the non-integer part of your answer. Note also that for the phase shift we would need to add a π for the reflection off the glass-air interface.]arrow_forwardA 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.arrow_forward
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