Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 36, Problem 14PQ
(a)
To determine
The minimum possible thickness of oil that would give rise to seeing the red light reflected.
(b)
To determine
The minimum possible thickness of oil that would give rise to seeing the violet light reflected.
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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?
In a location where the speed of sound is 354 m/s, a 2 000-Hz 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 μm, what frequency of light gives the same first maximum angle?
In the two-slit interference , the slitwidths are each 12.0 mm,their separation is 24.0 mm,the wavelength is600 nm, and the viewing screen is at a distance of 4.00 m. Let IP representthe intensity at point P on the screen, at height y = 70.0 cm. (a)What is the ratio of IP to the intensity Im at the center of the pattern?(b) Determine where P is in the two-slit interference pattern by givingthe maximum or minimum on which it lies or the maximum and minimumbetween which it lies. (c) In the same way, for the diffraction thatoccurs, determine where point P is in the diffraction pattern.
Chapter 36 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 36.2 - Prob. 36.1CECh. 36.3 - Prob. 36.2CECh. 36.4 - Prob. 36.3CECh. 36.5 - Prob. 36.4CECh. 36.5 - Prob. 36.5CECh. 36 - Many circular apertures are adjustable, such as...Ch. 36 - Many of the images we regularly look at are...Ch. 36 - The hydrogen line at 1420.4 MHz corresponds to the...Ch. 36 - Prob. 4PQCh. 36 - Estimate the diffraction-limited resolution of the...
Ch. 36 - Prob. 6PQCh. 36 - Prob. 7PQCh. 36 - Prob. 8PQCh. 36 - Prob. 9PQCh. 36 - Prob. 10PQCh. 36 - Prob. 11PQCh. 36 - Prob. 12PQCh. 36 - Prob. 13PQCh. 36 - Prob. 14PQCh. 36 - Prob. 15PQCh. 36 - Prob. 16PQCh. 36 - Prob. 17PQCh. 36 - Prob. 18PQCh. 36 - Prob. 19PQCh. 36 - Prob. 20PQCh. 36 - Prob. 21PQCh. 36 - Prob. 22PQCh. 36 - Prob. 23PQCh. 36 - Prob. 24PQCh. 36 - Light of wavelength 566 nm is incident on a...Ch. 36 - Prob. 26PQCh. 36 - Prob. 27PQCh. 36 - Prob. 28PQCh. 36 - Prob. 29PQCh. 36 - Prob. 30PQCh. 36 - A light source emits a mixture of wavelengths from...Ch. 36 - Prob. 32PQCh. 36 - Prob. 33PQCh. 36 - Prob. 34PQCh. 36 - Prob. 35PQCh. 36 - Prob. 36PQCh. 36 - Prob. 37PQCh. 36 - Prob. 38PQCh. 36 - Prob. 39PQCh. 36 - Prob. 40PQCh. 36 - Prob. 41PQCh. 36 - Prob. 42PQCh. 36 - Prob. 43PQCh. 36 - Prob. 44PQCh. 36 - CASE STUDY Michelsons interferometer played an...Ch. 36 - CASE STUDY Michelsons interferometer played an...Ch. 36 - Prob. 47PQCh. 36 - Prob. 48PQCh. 36 - Problems 49 and 50 are paired. C Optical flats are...Ch. 36 - Optical flats are flat pieces of glass used to...Ch. 36 - Prob. 51PQCh. 36 - Prob. 52PQCh. 36 - Figure P36.53 shows two thin glass plates...Ch. 36 - Viewed from above, a thin film of motor oil with...Ch. 36 - Newtons rings, discovered by Isaac Newton, are an...Ch. 36 - Prob. 56PQCh. 36 - What is the radius of the beam of an argon laser...Ch. 36 - Prob. 58PQCh. 36 - A diffraction grating with 428 rulings per...Ch. 36 - How many rulings must a diffraction grating have...Ch. 36 - Prob. 61PQCh. 36 - White light is incident on a diffraction grating...Ch. 36 - X-rays incident on a crystal with planes of atoms...Ch. 36 - Prob. 64PQCh. 36 - Prob. 65PQCh. 36 - Prob. 66PQCh. 36 - The fringe width b is defined as the distance...Ch. 36 - The fringe width is defined as the distance...Ch. 36 - Prob. 69PQ
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- is the minimum separation of 2 small sources of red lights on Earth that you can resolve by eye when you are flying 3.0 km above the ground? Assume the light's wavelength in air is 633 nm, the index of refraction inside the eye is 1.333 and a pupil diameter of 4.00 mm.arrow_forwardWhat is the minimum thickness of a soap-bubble film (n = 1.33) that will result in constructive interference in the reflected light if the film is illuminated by light with wavelength 602 nm? (Give your answer in nm.) Now assume that the soap bubble film is on top of a glass slide (n=1.50). What is the minimum thickness for constructive interference? Give your answer in nm. What other film thicknesses will produce constructive interference for the soap bubble with air on both sides? (Give the second thinnest film in nm.) What other film thicknesses will produce constructive interference for the soap bubble with air on both sides? (Give the third thinnest film in nm.)arrow_forwardA thin film of glass (n = 1.52) of thickness 0.420 mm is viewed under white light at near normal incidence. What wavelength of visible light is most strongly reflected by the film when surrounded by air?arrow_forward
- 1. a. If a piece of glass (n = 1.5) is coated with a transparent plastic (n = 2.0), will there be aphase shift in either of the beams reflecting off the interfaces (air/plastic and plastic/glass)? Howcan you tell, without doing the experiment, whether or not there will be a phase shift in eitherbeam? Be specific about what rays are reflecting off what materials. b. So what thickness or thicknesses give the maximum reflection? What thickness or thicknesses(hint: it’s thicknesses) give the minimum reflection? Assume that a light of wavelength 500. nmis used, and you may leave the answer in nm. Yes, this is a choice between equations 35.17 and35.18, but your answer to part a should be helpful in deciding which set.arrow_forwardIn the two-slit interference experiment, the slit widths are each 4.0 μm, their separation is 24.0 μm, the wavelength is 600 nm, and the viewing screen is at a distance of 2.00 m from the slits. Point P lies at distance y =5.0 cm from the center of the pattern. (a) Without diffraction effects taken into account, what is the ratio of IP to the intensity Im at the center of the pattern? (b) With diffraction effects taken into account, what is the ratio of IP to the intensity Im at the center of the pattern?arrow_forwardWhen you look through a window, by what time interval is the light you see delayed by having to go through glass instead of air? Make an order-of-magnitude estimate on the basis of data you specify. By how many wavelengths is it delayed?arrow_forward
- A thin film, with a thickness of 272.7 nm and with air on both sides, is illuminated with a beam of white light. The beam is perpendicular to the film and consists of the full range of wavelengths for the visible spectrum. In the light reflected by the film, light with a wavelength of 600.0 nm undergoes fully constructive interference. At what wavelength does the reflected light undergo fully destructive interference? (Hint: You must make a reasonable assumption about the index of refraction.)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_forwardA 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 30.0incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?arrow_forward
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