College Physics: A Strategic Approach (3rd Edition)
3rd Edition
ISBN: 9780321879721
Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher: PEARSON
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Textbook Question
Chapter 17, Problem 9P
Two narrow slits are illuminated by light of wavelength λ. The slits are spaced 20 wavelengths apart. What is the angle, in radians, between the central maximum and the m = 1 bright fringe?
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Two narrow slits are illuminated by light of wavelength λ. The slits are spaced 20 wavelengths apart. What is the angle, in radians, between the central maximum and the m = 1 bright fringe?
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Chapter 17 Solutions
College Physics: A Strategic Approach (3rd 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 - 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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- A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 radarrow_forwardWhat is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.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_forward
- When a monochromatic light of wavelength 430 nm incident on a double slit of slit separation 5 m, there are 11 interference fringes in its central maximum. How many interference fringes will be in the central maximum of a light of wavelength 632.8 nm for the same double slit?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_forwardShow that the distribution of intensity in a double-slit pattern is given by Equation 36.9. Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)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_forwardTwo narrow slits 53 μm apart are illuminated with light of wavelength 509 nm . What is the angle of the m = 2 bright fringe in radians? What is the angle of the m = 2 bright fringe in degrees?arrow_forwardLight is incident on a double-slit. The fourth bright band has an angular distance of 7.0° from the central maximum. What is the distance between the slits (in um)? (Assume the frequency of the light is 5.4 x 1014 Hz.) O 21 O 14 18 O 24 O 27arrow_forward
- In a double-slit interference experiment, the light source is a visible laser with wavelength 4.31E-7 m, the distance between slits is 9.51E-4m, and a screen is 2.09 m away from the slits. What is the distance between the central bright fringe and a dark fringe resulting from a 5π phase difference between light from the two slits (in m)?arrow_forwardA double slit is illuminated simultaneously with light of wavelength 640 nmnm and light of an unknown wavelength. The mm = 4 bright fringe of the unknown wavelength overlaps the mm = 3 bright orange fringe. What is the unknown wavelength?arrow_forwardLight of wavelength 633 nm is incident on a narrow slit. The angle between the first diffraction minimum on one side of the central maximum and the first minimum on the other side is 1.20°. What is the width of the slit?arrow_forward
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