10. A ray of light with a wavelength of 480 nm strikes a very thin soap film of thickness 2.00 nm, with air oneach side of the film. Which statement is true?a. There will be constructive interference because the path difference is effectively zero, andphase change occurs at only one surface.b. There will be destructive interference because the path difference is effectively zero, andphase change occurs at only one surface.c. There will be constructive interference because the path difference is effectively zero, andphase change occurs at either surface.d. There will be destructive interference because the path difference is effectively zero, andphase change does not occur at either surface.

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Answered: 10. A ray of light with a wavelength of…

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter35: The Nature Of Light And The Principles Of Ray Optics

Section: Chapter Questions

Problem 35.10OQ

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In each of the following situations, a wave passes through an opening in an absorbing wall. Rank the situations in order from the one in which the wave is best described by the ray approximation to the one ill which the wave coming through the opening spreads out most nearly equally in all directions in the hemisphere beyond the wall, (a) The sound of a low whistle at 1 kHz passes through a doorway 1 m wide, (b) Red light passes through the pupil of your eye. (c) Blue light passes through the pupil of your eye. (d) The wave broadcast by an AM radio station passes through a doorway 1 m wide, (e) An x-ray passes through the space between bones in your elbow Joint.
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00 cm thick flat piece of crown glass and back to air again. The beam strikes at a 30.0° incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?
A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P37.35. For what minimum nonzero value of the plate separation d is the transmitted light bright?
Figure 27.34 shows two glass slides illuminated by pure-wavelength light incident perpendicularly. The top slide touches the bottom slide at one end and rests on a 0.100-mm-diameter hair at the other end, forming a wedge of air. (a) How far apart are the dark bands, if the slides are 7.50 cm long and 589-nm light is used? (b) Is there any difference if the slides are made from crown or flint glass? Explain.
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A ray of light with a wavelength of 480 nm strikes a very thin soap film of thickness 2.00 nm, with air oneach side of the film. Which statement is true?a. There will be constructive interference because the path difference is effectively zero, andphase change occurs at only one surface.b. There will be destructive interference because the path difference is effectively zero, andphase change occurs at only one surface.c. There will be constructive interference because the path difference is effectively zero, andphase change occurs at either surface.d. There will be destructive interference because the path difference is effectively zero, andphase change does not occur at either surface.
11.A glass lens is coated on one side with a thin film of magnesium fluoride (MgF2) to reduce reflection from the lens surface. (See Figure 1.) Determine the least coating thickness that eliminates (via interference) the reflections at the middle of the visible spectrum (>= 590 nm). Assume that the light is approximately perpendicular to the lens surface. A. 100.31 nm B. 199.28 nm C. 213.77 nm D. 411.32 nm Air n=1.38 12 n MgF₂ =1.38 Figure 1 Glass №=1.38
An air gap exists between two glass plates (n = 1.55). %3D a. Determine the minimum width of the air gap if orange light (495TH2) is strongly reflected. b. Determine the minimum width of the air gap if blue light (660TH2) is not reflected at all. c. Determine the minimum width of the air gap if orange light is strongly reflected AND blue light is not reflected at all.
An oil film (refractive index 1.47, thickness 0.12 µm) rests on a pool of water. If light strikes the film at an angle of 60o, what is the wavelength reflected in the first order maximum? A. 222.3 nm B. 352.8 nm C. 412.2 nm D. 321.2 nm
15. A clear oil, with an index of refraction of 1.2, is floating on a water surface. The oil film has a thickness of 4.0x10-7m. What visible wavelength (in the air at normal incidence) would show constructive interference in upon reflection? A. 400 nm B. 420 nm C. 480 nm D. 510 nm
6. A thin film of soapy water with an index of refraction of 1.39 has a thickness of 1.15 x 10-7 m at one point where it is on top of glass (n = 1.55). Determine the three longest wavelengths of light that will interfere constructively when reflecting from the soapy film. ontzib or on unteu brenosive bra tile noswisd sonstelb amse ori yniqs21 (d ibil siduob oi baboon ad blow sile to dibry terier adgil Lounnit trigind
The following conditions are necessary in order for interference of light tooccur, EXCEPT one. Which one is it? a. Light should be of a single wavelength.b. Light waves should be in-phase.c. Sources of light must be in the same state of polarization.d. Source of light and screen must be very near each other.

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