Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
9th Edition
ISBN: 9781305372337
Author: Raymond A. Serway | John W. Jewett
Publisher: Cengage Learning
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Chapter 38, Problem 62AP
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A two-slit interference experiment uses laser light of wavelength 655 nm. The slits are 0.230 mm apart and 1.75 m from the screen on which the interference pattern appears. The intensity of the light at the central bright fringe is I0 = 0.0520 W/m2. Find (a) the intensity at a point on the screen 6.50 mm from the central bright fringe and (b) the distance on the screen from the central bright fringe to the nearest point where the intensity is I0/4.
A technician is performing Young's double-slit experiment for his supervisor. He directs a beam of single-wavelength light to a pair of parallel slits, which are separated by 0.132 mm from each other. The portion of this light that passes through the slits goes on to form an interference pattern upon a screen, which is 4.50 meters distant.The light is characterized by a wavelength of 590 nm.
(a)What is the optical path-length difference (in µm) that corresponds to the fifth-order bright fringe on the screen? (This is the fifth fringe, not counting the central bright band, that one encounters moving from the center out to one side.) ?µm
(b)What path-length difference (in µm) corresponds to the fifth dark fringe that one encounters when moving out to one side of the central bright fringe? ?µm
An interference experiment is performed with monochromatic (one color) laser light. The separation between the slits is 0.600 mm, and the screen is located 7.44 m from the slits. The first bright fringe is located 4.64 mm from the center of the interference pattern. What is the wavelength of the laser light (in nm)?
Chapter 38 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
Ch. 38.2 - Suppose the slit width in Figure 37.4 is made half...Ch. 38.2 - Prob. 38.2QQCh. 38.3 - Cats eyes have pupils that can be modeled as...Ch. 38.3 - Suppose you are observing a binary star with a...Ch. 38.4 - Ultraviolet light of wavelength 350 nm is incident...Ch. 38.6 - A polarizer for microwaves can be made as a grid...Ch. 38.6 - Prob. 38.7QQCh. 38 - Prob. 1OQCh. 38 - Prob. 2OQCh. 38 - Prob. 3OQ
Ch. 38 - Prob. 4OQCh. 38 - Prob. 5OQCh. 38 - Prob. 6OQCh. 38 - Prob. 7OQCh. 38 - Prob. 8OQCh. 38 - Prob. 9OQCh. 38 - Prob. 10OQCh. 38 - Prob. 11OQCh. 38 - Prob. 12OQCh. 38 - Prob. 1CQCh. 38 - Prob. 2CQCh. 38 - Prob. 3CQCh. 38 - Prob. 4CQCh. 38 - Prob. 5CQCh. 38 - Prob. 6CQCh. 38 - Prob. 7CQCh. 38 - Prob. 8CQCh. 38 - Prob. 9CQCh. 38 - Prob. 10CQCh. 38 - Prob. 11CQCh. 38 - Prob. 12CQCh. 38 - Prob. 1PCh. 38 - Prob. 2PCh. 38 - Prob. 3PCh. 38 - Prob. 4PCh. 38 - Prob. 5PCh. 38 - Prob. 6PCh. 38 - Prob. 7PCh. 38 - Prob. 8PCh. 38 - Prob. 9PCh. 38 - Prob. 10PCh. 38 - Prob. 11PCh. 38 - Coherent light of wavelength 501.5 nm is sent...Ch. 38 - Prob. 13PCh. 38 - Prob. 14PCh. 38 - Prob. 15PCh. 38 - Prob. 16PCh. 38 - Prob. 17PCh. 38 - Prob. 18PCh. 38 - What is the approximate size of the smallest...Ch. 38 - Prob. 20PCh. 38 - Prob. 21PCh. 38 - Prob. 22PCh. 38 - Prob. 23PCh. 38 - Prob. 24PCh. 38 - Prob. 25PCh. 38 - Prob. 26PCh. 38 - Consider an array of parallel wires with uniform...Ch. 38 - Prob. 28PCh. 38 - Prob. 29PCh. 38 - A grating with 250 grooves/mm is used with an...Ch. 38 - Prob. 31PCh. 38 - Prob. 32PCh. 38 - Light from an argon laser strikes a diffraction...Ch. 38 - Show that whenever white light is passed through a...Ch. 38 - Prob. 35PCh. 38 - Prob. 36PCh. 38 - Prob. 37PCh. 38 - Prob. 38PCh. 38 - Prob. 39PCh. 38 - Prob. 40PCh. 38 - Prob. 41PCh. 38 - Prob. 42PCh. 38 - Prob. 43PCh. 38 - Prob. 44PCh. 38 - Prob. 45PCh. 38 - Prob. 46PCh. 38 - Prob. 47PCh. 38 - Prob. 48PCh. 38 - Prob. 49PCh. 38 - Prob. 50PCh. 38 - Prob. 51PCh. 38 - Prob. 52PCh. 38 - Prob. 53APCh. 38 - Prob. 54APCh. 38 - Prob. 55APCh. 38 - Prob. 56APCh. 38 - Prob. 57APCh. 38 - Prob. 58APCh. 38 - Prob. 59APCh. 38 - Prob. 60APCh. 38 - Prob. 61APCh. 38 - Prob. 62APCh. 38 - Prob. 63APCh. 38 - Prob. 64APCh. 38 - Prob. 65APCh. 38 - Prob. 66APCh. 38 - Prob. 67APCh. 38 - Prob. 68APCh. 38 - Prob. 69APCh. 38 - Prob. 70APCh. 38 - Prob. 71APCh. 38 - Prob. 72APCh. 38 - Prob. 73APCh. 38 - Light of wavelength 632.8 nm illuminates a single...Ch. 38 - Prob. 75CPCh. 38 - Prob. 76CPCh. 38 - Prob. 77CPCh. 38 - Prob. 78CPCh. 38 - Prob. 79CP
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- 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_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_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
- 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 double-slit interference pattern is created by two narrow slits spaced 0.20 mm apart. The distance between the first and the fifth minimum on a screen 59 cm behind the slits is 6.5 mm. What is the wavelength (in nmnm) of the light used in this experiment?arrow_forwardYou illuminate a slit with a width of 78.1 µm with a light of wavelength 729 nm and observe the resulting diffraction pattern on a screen that is situated 2.27 m from the slit. What is the width w, in centimeters, of the pattern's central maximum? W = cmarrow_forward
- In a double-slit experiment, monochromatic light of wavelength 506. nm is incident on identical parallel slits of width 0.410 mm and separated by a distance of 0.550 mm. The interference pattern is observed on a screen 2.26 m from the slits. The intensity at the center of the central maximum is 7.36 mW/m². What is the intensity (in mW/m²) at a point on the screen that is 0.810 mm from the center of the central maximum? i mW/m²arrow_forwardA two-slit Young’s interference experiment is arranged with the wavelength of the light source λ = 0.5 μm. When a thin film of transparent material is put in front of one of the slits, the zero order fringe moves to the position previously occupied by the 4th order bright fringe. The index of refraction of the film is n = 1.2. Calculate the thickness of the film.arrow_forwardIn a double-slit experiment the distance between slits is 5.8 mm and the slits are 0.83 m from the screen. Two interference patterns can be seen on the screen: one due to light of wavelength 430 nm, and the other due to light of wavelength 550 nm. What is the separation in meters on the screen between the m = 4 bright fringes of the two interference patterns? Number Units the tolerance is +/-5%arrow_forward
- The figure shows the interference pattern that appears on a distant screen when coherent light is incident on a mask with two identical, very narrow slits. Points P and Q are maxima; Point R is a minimum. The wavelength of the light that created the interference pattern is λ=678nm, the two slites are separated by rm d=6 μm, and the distance from the slits to the center of the screen is L=80cm . The difference in path length at a point on the screen is Δs=|s1−s2|, where s1s1 and s2s2 are the distances from each slit to the point. What is ΔsΔs (in nm) at Point P? What is ΔsΔs (in nm) at Point Q? What is ΔsΔs (in nm) at Point R?arrow_forwardA scientist directs monochromatic light toward a single slit in an opaque barrier. The light has a wavelength of 545 nm and the slit is 0.215 mm wide. The light that passes through the slit creates a diffraction pattern on a screen, which is 1.75 m from the slit. (a) How wide (in mm) is the central maximum (the central, bright fringe), as measured on the screen? mm (b) How wide (in mm) is either of the two first-order bright fringes, as measured on the screen?arrow_forwardYoung's double slit experiment is one of the classic tests for the wave nature of light. In an experiment using red light (λ = 639 nm) the second dark fringe on either side of the central maximum is 0 = 3.1 degrees relative to the central bright fringe. - Part (a) ✓ Write an expression for the separation distance d between the slits. d = 1.5 (N/sin(0)) Part (b) ✓ Correct! Numerically, what is the distance of d in nanometers? d=2.30510-5|| Grade Summary Deductions 8% Potential Submissions 92% sin() cos() tan() π (7 8 9 HOME Attempt(s) Remaining: 1 cotan() asin() acos() E Λ 5 6 4% Deduction per Attempt detailed view atan() acotan() sinh() * 2 3 1 2 4% 4% cosh() tanh() cotanh() + - 0 END • Degrees Radians VO BACKSPACE DEL CLEAR Submit Submission(s) Remaining Hint Feedback I give up! Hints: 0 for a 0% deduction. Hints remaining: 0 Part (c) Feedback: 5% deduction per feedback. Numerically, at what angle can the first bright fringe be found relative to the m = O central fringe? Answer in…arrow_forward
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