College Physics
3rd Edition
ISBN: 9780134201962
Author: Randall D. Knight, Brian Jones, Stuart Field
Publisher: Addison-Wesley
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Textbook Question
Chapter 17, Problem 65GP
Figure P17.65 shows the light intensity on a screen behind a single slit. The
Figure P17.65
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A plane wave of wavelength 590 nm is incident on a slit with a width of a= 0.40 mm.A thin converging lens of focal length 70 cm is placed between the slit and a viewing screen and focuses the light on the screen. (a) How far is the screen from the lens? (b) What is the distance on the screen from the center of the diffraction pattern to the first minimum?
Light of wavelength λ = 430 nm and intensity I(0) = 210 W/m^2 is incident upon two narrow slits that are separated by a distance d = 36 μm.
Part (a) Write an equation for the cosine of half of the phase difference Φ between the waves passing through the two slits in terms of the intensity of the central maximum I(0) and the resulting intensity I.
cos(Φ/2) =
Part (b) What is the smallest phase angle, Φ in
radians, for which the resulting intensity of the light will be I = 110 W/m^2?
Φ =
Chapter 17 Solutions
College Physics
Ch. 17 - The frequency of a light wave in air is 5.3 1014...Ch. 17 - Rank in order the following according to their...Ch. 17 - The wavelength of a light wave is 700 nm in air;...Ch. 17 - A double-slit interference experiment shows...Ch. 17 - Figure Q17.5 shows the fringes observed in a...Ch. 17 - In a double-slit interference experiment,...Ch. 17 - Figure Q17.7 shows the viewing screen in a...Ch. 17 - Figure Q17.7 is the interference pattern seen on a...Ch. 17 - Figure Q17.9 shows the light intensity on a...Ch. 17 - Figure Q17.10 shows the light intensity on a...
Ch. 17 - Light with a wavelength of 600 nm is incident on a...Ch. 17 - White light is incident on a diffraction grating....Ch. 17 - Figure Q17.13 shows a light wave incident on and...Ch. 17 - A soap bubble usually pops because some part of it...Ch. 17 - An oil film on top of water has one patch that is...Ch. 17 - Should the antireflection coating of a microscope...Ch. 17 - Example 17.5 showed that a thin film whose...Ch. 17 - Prob. 18CQCh. 17 - Prob. 19MCQCh. 17 - The frequency of a light wave in air is 4.6 1014...Ch. 17 - Light passes through a diffraction grating with a...Ch. 17 - Blue light of wavelength 450 nm passes through a...Ch. 17 - Yellow light of wavelength 590 nm passes through a...Ch. 17 - Light passes through a 10-m-wide slit and is...Ch. 17 - Prob. 25MCQCh. 17 - You want to estimate the diameter of a very small...Ch. 17 - Prob. 1PCh. 17 - a. How long (in ns) does it take light to travel...Ch. 17 - A 5.0-cm-thick layer of oil (n = 1.46) is...Ch. 17 - A light wave has a 670 nm wavelength in air. Its...Ch. 17 - How much time does it take a pulse of light to...Ch. 17 - A helium-neon laser beam has a wavelength in air...Ch. 17 - Two narrow slits 50 m apart are illuminated with...Ch. 17 - Light from a sodium lamp (= 589 nm) illuminates...Ch. 17 - Two narrow slits are illuminated by light of...Ch. 17 - A double-slit experiment is performed with light...Ch. 17 - Light from a helium-neon laser (= 633 nm) is used...Ch. 17 - Two narrow slits are 0.12 mm apart. Light of...Ch. 17 - In a double-slit experiment, the distance from one...Ch. 17 - A diffraction grating with 750 slits/mm is...Ch. 17 - A 1.0-cm-wide diffraction grating has 1000 slits....Ch. 17 - Light of wavelength 600 nm illuminates a...Ch. 17 - A lab technician uses laser light with a...Ch. 17 - The human eye can readily detect wavelengths from...Ch. 17 - A diffraction grating with 600 lines/mm is...Ch. 17 - A 500 line/mm diffraction grating is illuminated...Ch. 17 - What is the thinnest film of MgF2 (n = 1.38) on...Ch. 17 - A very thin oil film (n = 1.25) floats on water (n...Ch. 17 - A film with n = 1.60 is deposited on glass. What...Ch. 17 - Antireflection coatings can be used on the inner...Ch. 17 - Solar cells are given antireflection coatings to...Ch. 17 - A thin film of MgF2 (n = 1.38) coats a piece of...Ch. 17 - Looking straight downward into a rain puddle whose...Ch. 17 - A helium-neon laser (= 633 nm) illuminates a...Ch. 17 - For a demonstration, a professor uses a razor...Ch. 17 - A 0.50-mm-wide slit is illuminated by light of...Ch. 17 - The second minimum in the diffraction pattern of a...Ch. 17 - What is the width of a slit for which the first...Ch. 17 - A 0.50-mm-diameter hole is illuminated by light of...Ch. 17 - Light from a helium-neon laser (= 633 nm) passes...Ch. 17 - You want to photograph a circular diffraction...Ch. 17 - Infrared light of wavelength 2.5 m illuminates a...Ch. 17 - An advanced computer sends information to its...Ch. 17 - Figure P17.38 shows the light intensity on a...Ch. 17 - Figure P17.38 shows the light intensity on a...Ch. 17 - Your friend has been given a laser for her...Ch. 17 - A double slit is illuminated simultaneously with...Ch. 17 - Figure P17.42 shows the light intensity on a...Ch. 17 - A laser beam of wavelength 670 nm shines through a...Ch. 17 - The two most prominent wavelengths in the light...Ch. 17 - A diffraction grating produces a first-order...Ch. 17 - A diffraction grating is illuminated...Ch. 17 - White light (400-700 nm) is incident on a 600...Ch. 17 - A miniature spectrometer used for chemical...Ch. 17 - Figure P17.49 shows the interference pattern on a...Ch. 17 - Figure P17.4919 shows the interference pattern on...Ch. 17 - Because sound is a wave, it is possible to make a...Ch. 17 - The shiny surface of a CD is imprinted with...Ch. 17 - If sunlight shines straight onto a peacock...Ch. 17 - The wings of some beetles have closely spaced...Ch. 17 - A diffraction grating having 500 lines/mm...Ch. 17 - Light emitted by element X passes through a...Ch. 17 - Light of a single wavelength is incident on a...Ch. 17 - A sheet of glass is coated with a 500-nm-thick...Ch. 17 - A soap bubble is essentially a thin film of water...Ch. 17 - A laboratory dish, 20 cm in diameter, is half...Ch. 17 - You need to use your cell phone, which broadcasts...Ch. 17 - Light from a sodium lamp ( = 589 nm) illuminates a...Ch. 17 - The opening to a cave is a tall, 30-cm-wide crack....Ch. 17 - A diffraction grating has 500 slits/mm. What is...Ch. 17 - Figure P17.65 shows the light intensity on a...Ch. 17 - Figure P17.65 shows the light intensity on a...Ch. 17 - Figure P17.67 shows the light intensity on a...Ch. 17 - One day, after pulling down your window shade, you...Ch. 17 - Prob. 70GPCh. 17 - A helium-neon laser ( = 633 nm), shown in Figure...Ch. 17 - In the laser range-finding experiments of Example...Ch. 17 - Prob. 73MSPPCh. 17 - Prob. 74MSPPCh. 17 - Prob. 75MSPP
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- Figure P35.24 shows the diffraction patterns produced by a slit of varying width. What is the relative width of the slit in each case, from narrowest to widest? FIGURE P35.24 Problems 24 and 32.arrow_forwardA riverside warehouse has several small doors facing the river. Two of these doors are open as shown in Figure P27.17. The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 150 in from the wall with the open doors. Person A stands along a line passing through the midpoint between the open doors, and person B stands a distance y = 20 m to his side. A boat o the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 5.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to center.arrow_forwardTable P35.80 presents data gathered by students performing a double-slit experiment. The distance between the slits is 0.0700 mm, and the distance to the screen is 2.50 m. The intensity of the central maximum is 6.50 106 W/m2. What is the intensity at y = 0.500 cm? TABLE P35.80arrow_forward
- Figure P35.49 shows the intensity of the diffraction patterns produced by a slit of varying width. Rank the relative widths of the slit in each case, from narrowest to widest.arrow_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_forwardFigure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.arrow_forward
- Figure P24.69 shows a radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 102 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wavelengths that interior (a) constructively and (b) destructively. Figure P24.69arrow_forwardCoherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.arrow_forward(a) What is the smallest separation between two slits that will produce a second-order maximum for any visible light? (b) For all visible light?arrow_forward
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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY