College Physics: A Strategic Approach (4th Edition)
4th Edition
ISBN: 9780134609034
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Chapter 17, Problem 56GP
Light emitted by element X passes through a diffraction grating that has 1200 slits/mm. The interference pattern is observed on a screen 75.0 cm behind the grating. First-order maxima are observed at distances of 56.2 cm, 65.9 cm, and 93.5 cm from the central maximum. What are the
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Light emitted by element X passes through a diffraction grating that has 1200 slits/mm. The interference pattern is observed on a screen 80.0 cm behind the grating. First-order maxima are observed at distances of 56.4 cm , 67.1 cm ,and 93.5 cm from the central maximum. What are the wavelengths of light emitted by element X?
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Chapter 17 Solutions
College Physics: A Strategic Approach (4th Edition)
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 - Prob. 3CQCh. 17 - The wavelength of a light wave is 700 nm in air;...Ch. 17 - Prob. 5CQCh. 17 - A double-slit interference experiment shows...Ch. 17 - In a double-slit interference experiment,...Ch. 17 - Prob. 8CQCh. 17 - Prob. 9CQCh. 17 - Prob. 10CQ
Ch. 17 - Prob. 11CQCh. 17 - Prob. 12CQCh. 17 - Prob. 14CQCh. 17 - Prob. 16CQCh. 17 - An oil film on top of water has one patch that is...Ch. 17 - Should the antireflection coating of a microscope...Ch. 17 - Prob. 20CQCh. 17 - Prob. 21CQCh. 17 - Prob. 23MCQCh. 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. 29MCQCh. 17 - Prob. 30MCQCh. 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 - A helium-neon laser beam has a wavelength in air...Ch. 17 - Prob. 6PCh. 17 - Prob. 7PCh. 17 - Light from a sodium lamp (= 589 nm) illuminates...Ch. 17 - Two narrow slits are illuminated by light of...Ch. 17 - Prob. 10PCh. 17 - A double-slit experiment is performed with light...Ch. 17 - Prob. 12PCh. 17 - Two narrow slits are 0.12 mm apart. Light of...Ch. 17 - A diffraction grating with 750 slits/mm is...Ch. 17 - Prob. 16PCh. 17 - A 1.0-cm-wide diffraction grating has 1000 slits....Ch. 17 - Prob. 18PCh. 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 - Antireflection coatings can be used on the inner...Ch. 17 - Solar cells are given antireflection coatings to...Ch. 17 - Prob. 28PCh. 17 - A thin film of MgF2 (n = 1.38) coats a piece of...Ch. 17 - Prob. 30PCh. 17 - A soap bubble is essentially a thin film of water...Ch. 17 - Prob. 32PCh. 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 - Prob. 36PCh. 17 - The second minimum in the diffraction pattern of a...Ch. 17 - Prob. 38PCh. 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 - Prob. 42PCh. 17 - Infrared light of wavelength 2.5 m illuminates a...Ch. 17 - Prob. 44PCh. 17 - An advanced computer sends information to its...Ch. 17 - Prob. 46GPCh. 17 - Prob. 47GPCh. 17 - Prob. 48GPCh. 17 - The two most prominent wavelengths in the light...Ch. 17 - White light (400-700 nm) is incident on a 600...Ch. 17 - A miniature spectrometer used for chemical...Ch. 17 - Prob. 52GPCh. 17 - Prob. 53GPCh. 17 - The shiny surface of a CD is imprinted with...Ch. 17 - The wings of some beetles have closely spaced...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 laboratory dish, 20 cm in diameter, is half...Ch. 17 - You need to use your cell phone, which broadcasts...Ch. 17 - Prob. 61GPCh. 17 - Prob. 62GPCh. 17 - Prob. 63GPCh. 17 - Prob. 64GPCh. 17 - One day, after pulling down your window shade, you...Ch. 17 - Prob. 66GPCh. 17 - Prob. 67GPCh. 17 - In the laser range-finding experiments of Example...Ch. 17 - Prob. 69MSPPCh. 17 - Prob. 70MSPPCh. 17 - Prob. 71MSPP
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- Coherent 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_forwardA 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 mmarrow_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_forward
- Table 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_forwardYou measure distances from the center of a diffraction pattern (y) to a series of dark fringes on a screen that is 0.3000 ± 0.0005 m from the 0.04-mm wide slit you are using to create the pattern. You create a plot of y (in m) vs m and get a slope for the best- fit line of 0.005525 ±8.175 × 10-6. What is the wavelength of the laser you used to collect the data? away 土 )m Checkarrow_forwardIn a single-slit diffraction experiment, there is a minimum of intensity for orange light (l= 600 nm) and a minimum of intensity for blue-green light (l = 500 nm) at the same angle of 1.00 mrad. For what minimum slit width is this possible?arrow_forward
- Light of wavelength 677 nm is incident on a diffraction grating that is 1.24 cm wide and has 1900 slits. What is the dispersion of the m=2 line (in rad/cm)?arrow_forwardcan you explain how the last question's answer is 7.49?arrow_forwardMonochromatic light with wavelength 620 nm passes through a circular aperture with diameter 7.4 um. The resulting diffraction pattern is observed on a screen that is 4.5 m from the aperture. What is the diameter of the Airy disk on the screen?arrow_forward
- Monochromatic light of wavelength 612 nm falls on a slit. If the angle between the first two bright fringes on either side of the central maximum is 34°, estimate the slit width. Express your answer to two significant figures and include the appropriate units. Di D= 6 μ μA Ω % μm ?arrow_forwardSuppose a 2.00-cmcm-wide diffraction grating with 800 lines/mmmm is 0.500 mm in front of a detector, forming a simple version of a "half-meter spectrometer." A spectrometer is used to measure the wavelengths of light by spreading them out across a detector. The quality of a spectrometer is its ability to distinguish or resolve two very similar wavelengths. A simple double slit has very poor resolution because the fringes are very wide; thus the interference patterns of two similar wavelengths would be so overlapped that you couldn’t distinguish them. A diffraction grating with many slits creates much narrower interference fringes, allowing two similar wavelengths to be distinguished by where their fringes fall on the detector. What is the minimum difference between two wavelengths that this spectrometer can resolve? Part A Diffraction gratings are characterized by the number of "lines per mmmm." For a transmission grating, this is the number of slits per mmmm of width.…arrow_forwardIn a double-slit diffraction experiment, two slits of width 13.7 x 106m are separated by a distance of 27.8 x 10-6 m, and the wavelength of the incident light is 473 nm. The diffraction pattern is viewed on a screen 5.85 m from the slits. Assume Ip is the intensity at a point P, a distance y=80.6 cm on the screen from the central maximum. Which of the following best describes where the point P is on the double-slit diffraction pattern? O The point P is between the m= 4 minimum and the m= 5 minimum. O The point P is between the m= 6 minimum and the m= 7 minimum. O The point P is between the m= 3 minimum and the m= 4 minimum.arrow_forward
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