Mastering Physics with Pearson eText -- Standalone Access Card -- for Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780134083148
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Chapter 33, Problem 32EAP
A Michelson interferometer uses light from a sodium lamp. Sodium atoms emit light having wavelengths 589.0 nm and 589.6 nm. The interferometer is initially set up with both arms of equal length (L1= L2), producing a bright spot at the center of the interference pattern. How far must mirror M2 he moved so that one wavelength has produced one more new maximum than the other wavelength?
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Chapter 33 Solutions
Mastering Physics with Pearson eText -- Standalone Access Card -- for Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 33 - Prob. 1CQCh. 33 - In a double-slit interference experiment, which of...Ch. 33 - FIGURE Q33.3 shows the viewing screen in a...Ch. 33 - FIGURE Q33.3 is the interference pattern seen on a...Ch. 33 - FIGURE Q33.5 shows the light intensity on a...Ch. 33 - FIGURE Q33.6 shows the light intensity on a...Ch. 33 - Narrow, bright fringes are observed on a screen...Ch. 33 - a. Green light shines through a 100-mm-diameter...Ch. 33 - A Michelson interferometer using 800 nm light is...Ch. 33 - Prob. 10CQ
Ch. 33 - Prob. 1EAPCh. 33 - Prob. 2EAPCh. 33 - Prob. 3EAPCh. 33 - Prob. 4EAPCh. 33 - Light of 630 nm wavelength illuminates two slits...Ch. 33 - Prob. 6EAPCh. 33 - Light from a sodium lamp (=589nm) illuminates two...Ch. 33 - A double-slit interference pattern is created by...Ch. 33 - Prob. 9EAPCh. 33 - Light of wavelength 620 nm illuminates a...Ch. 33 - A diffraction grating produces a first-order...Ch. 33 - Prob. 12EAPCh. 33 - The two most prominent wavelengths in the light...Ch. 33 - Prob. 14EAPCh. 33 - Prob. 15EAPCh. 33 - A helium-neon laser (=633nm) illuminates a single...Ch. 33 - Prob. 17EAPCh. 33 - A 050-mm-wide slit is illuminated by light of...Ch. 33 - 19. You need to use your cell phone, which...Ch. 33 - For what slit-width-to-wavelength ratio does the...Ch. 33 - Light from a helium-neon laser ( = 633 nm) is...Ch. 33 - A laser beam illuminates a single, narrow slit,...Ch. 33 - m-wide slits spaced 0.25 mm apart are illuminated...Ch. 33 - Prob. 24EAPCh. 33 - A 0.50-mm-diameter hole is illuminated by light of...Ch. 33 - Prob. 26EAPCh. 33 - Prob. 27EAPCh. 33 - Your artist friend is designing an exhibit...Ch. 33 - Prob. 29EAPCh. 33 - Prob. 30EAPCh. 33 - Prob. 31EAPCh. 33 - A Michelson interferometer uses light from a...Ch. 33 - FIGURE P33.33 shows the light intensity on a...Ch. 33 - FIGURE P33.34 shows the light intensity en a...Ch. 33 - Prob. 35EAPCh. 33 - Prob. 36EAPCh. 33 - Prob. 37EAPCh. 33 - Prob. 38EAPCh. 33 - Prob. 39EAPCh. 33 - Prob. 40EAPCh. 33 - A triple-slit experiment consists of three narrow...Ch. 33 - Because sound is a wave, it’s possible to make a...Ch. 33 - A diffraction grating with 600 lines/mm is...Ch. 33 - Prob. 44EAPCh. 33 - Prob. 45EAPCh. 33 - A chemist identifies compounds by identifying...Ch. 33 - Prob. 47EAPCh. 33 - For your science fair project you need to design a...Ch. 33 - Prob. 49EAPCh. 33 - Prob. 50EAPCh. 33 - Light from a sodium lamp ( =589 nm) illuminates a...Ch. 33 - The wings of some beetles have closely spaced...Ch. 33 - Prob. 53EAPCh. 33 - Prob. 54EAPCh. 33 - A diffraction grating has slit spacing d. Fringes...Ch. 33 - FIGURE P33.56 shows the light intensity on a...Ch. 33 - FIGURE P33.56 shows the light intensity on a...Ch. 33 - FIGURE P33.56 shows the light intensity on a...Ch. 33 - A student performing a double-slit experiment is...Ch. 33 - Scientists shine a laser beam on a 35- m-wide...Ch. 33 - Light from a helium-neon laser ( =633 nm)...Ch. 33 - Prob. 62EAPCh. 33 - Prob. 63EAPCh. 33 - Prob. 64EAPCh. 33 - Scientists use laser range-finding to measure the...Ch. 33 - Prob. 66EAPCh. 33 - Prob. 67EAPCh. 33 - Prob. 68EAPCh. 33 - Prob. 69EAPCh. 33 - Prob. 70EAPCh. 33 - Prob. 71EAPCh. 33 - Prob. 72EAPCh. 33 - Prob. 73EAPCh. 33 - FIGURE CP33.74 shows light of wavelength ?...Ch. 33 - Prob. 75EAP
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- In the double-slit arrangement of Figure P36.13, d = 0.150 mm, L = 140 cm, = 643 nm. and y = 1.80 cm. (a) What is the path difference for the rays from the two slits arriving at P? (b) Express this path difference in terms of . (c) Does P correspond to a maximum, a minimum, or an intermediate condition? Give evidence for your answer. Figure P36.13arrow_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_forwardIn a Newtons-rings experiment, a plano-convex glass (n = 1.52) lens having radius r = 5.00 cm is placed on a flat plate as shown in Figure P36.37. When light of wavelength = 650 nm is incident normally, 55 bright rings are observed, with the last one precisely on the edge of the lens. (a) What is the radius R of curvature of the convex surface of the lens? (b) What is the focal length of the lens? Figure P36.37arrow_forward
- Problems 49 and 50 are paired. C Optical flats are flat pieces of glass used to determine the flatness of other optical components. They are placed at an angle above the component as shown in Figure P36.49A, and monochromatic light is incident and observed from above, leading to interference fringes. Parts B and C of Figure P36.49 show the results of tests on two optical components. Which of the two is more flat? Explain. Figure P36.49 Problems 49 and 50.arrow_forwardA beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?arrow_forwardBoth sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.arrow_forward
- A 65-fringe shift results in a Michelson interferometer when a 42.0-µm film made of an unknown material is placed in one arm. The light source has wavelength 632.9 nm. Identify the material using the indices of refraction found in Table 1.1.arrow_forwardIn a Michelson interferometer, light of wavelength 632.8 nm from a He-Ne laser is used. When one of the mirrors is moved by a distance D, 8 fringes move past the field of view. What is the value of the distance D?arrow_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 P36.9. 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. Figure P36.9arrow_forward
- Figure CQ27.4 shows an unbroken soap film in a circular frame. The film thickness increases from top to bottom, slowly at first and then rapidly. As a simpler model, consider a soap film (n = 1.33) contained within a rectangular wire frame. The frame is held vertically so that the film drains downward and forms a wedge with flat faces. The thickness of the film at the top is essentially zero. The film is viewed in reflected white light with near-normal incidence, and the first violet ( = 420 nm) interference band is observed 3.00 cm from the top edge of the film. (a) Locate the first red ( = 680 nm) interference band. (b) Determine the film thickness at the positions of the violet and red bands. (c) What is the wedge angle of the film?arrow_forwardWhite light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2 (n=1.38). For what minimum thickness of the film will the reflections at the two interfaces result in total destructive interference of yellow light of wavelength 580 nm (in air)?arrow_forwardInterference effects are produced at point P on a screen as a result of direct rays from a 5.00 x 102 - nm source and reflected rays off a mirror, as shown in Figure P24.67. If the source is L = 1.00 x 102 m to the left of the screen and h = 1.00 cm above the mirror, find the distance y (in millimeters) to the first dark band above the mirror.arrow_forward
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