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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Chapter 17, Problem 44GP
The two most prominent
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The two most prominent wavelengths in the light emitted by a hydrogen
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hydrogen lamp illuminates a diffraction grating with 500 lines/mm,
and the diffracted light is observed on a screen 1.50 m behind the
grating. What is the distance on the screen between the first order red
and blue fringes.
The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm(red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 500lines/mm , and the light is observed on a screen 1.5m behind the grating.
What is the distance between the first-order red and blue fringes?
The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm (red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 550 lines/mm , and the light is observed on a screen 1.4 mm behind the grating.
What is the distance between the first-order red and blue fringes?
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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- In 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_forwardA hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?arrow_forwardA 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_forward
- A 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_forwardFigure P36.53 shows two thin glass plates separated by a wire with a square cross section of side length w, forming an air wedge between the plates. What is the edge length w of the wire if 42 dark fringes are observed from above when 589-nm light strikes the wedge at normal incidence? FIGURE P36.53arrow_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
- 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_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_forwardWhy is the following situation impossible? A piece of transparent material having an index of refraction n = 1.50 is cut into the shape of a wedge as shown in Figure P36.40. Both the top and bottom surfaces of the wedge are in contact with air. Monochromatic light of wavelength = 632.8 nm is normally incident from above, and the wedge is viewed from above. Let h = 1.00 mm represent the height of the wedge and = 0.500 m its length. A thin-film interference pattern appears in the wedge due to reflection from the top and bottom surfaces. You have been given the task of counting the number of bright fringes that appear in the entire length of the wedge. You find this task tedious, and your concentration is broken by a noisy distraction after accurately counting 5 000 bright fringes. Figure P36.40arrow_forward
- Intense white light is incident on a diffraction grating that has 600. lines/mm. (a) What is the highest order in which the complete visible spectrum can be seen with this grating? (b) What is the angular separation between the violet edge (400. nm) and the red edge (700. nm) of the first-order spectrum produced by the grating?arrow_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_forwardMonochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?arrow_forward
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