Concept explainers
Young’s double-slit experiment underlies the instrument landing system used to guide aircraft to safe landings at some airports when the visibility is poor. Although real systems are more complicated than the example described here, they operate on the same principles. A pilot is trying to align her plane with a runway as suggested in Figure P27.2. Two radio antennas (the black dots in the figure) are positioned adjacent to the runway, separated by d = 40.0 m. The antennas broadcast unmodulated coherent radio waves at 30.0 MHz. The red lines in Figure P27.2 represent paths along which maxima in the interference pattern of the radio waves exist. (a) Find the wavelength of the waves. The pilot “locks onto” the strong signal
Trending nowThis is a popular solution!
Chapter 27 Solutions
Principles of Physics: A Calculus-Based Text
Additional Science Textbook Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
Fundamentals of Physics Extended
Glencoe Physics: Principles and Problems, Student Edition
Conceptual Physical Science (6th Edition)
Essential University Physics: Volume 1 (3rd Edition)
- 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_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_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_forward
- 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_forwardIn 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_forwardA horizontal laser beam of wavelength 632.8 nm has a circular cross section 2.00 nun in diameter. A rectangular aperture is to lie placed in the center of the beam so that when the light falls perpendicularly on a wall 4.50 m away, the central maximum fills a rectangle 110 mm wide and 6.00 mm high. The dimensions are measured between the minima bracketing the central maximum. Find the required (a) width and (b) height of the aperture. (c) Is the longer dimension of the central bright patch in the diffraction pattern horizontal or vertical? (d) Is the longer dimension of the aperture horizontal or vertical? (e) Explain the relationship between these two rectangles, using a diagram.arrow_forward
- Figure P35.24 shows the diffraction patterns produced by a slit of varying width. What is the relative width of the slit in each case, from narrowest to widest? FIGURE P35.24 Problems 24 and 32.arrow_forwardA transparent cylinder is placed in one of the arms of a Michelson interferometer and evacuated by a pump, as shown in the figure. A laser with light of wavelength λ₁ passes through the interferometer, and its arms are adjusted so that a bright fringe is seen in the detector. A certain volume of hydrogen gas is then slowly introduced into the cylinder, changing the refractive index inside. In the process, N light-dark-light transitions are counted in the detector. The laser is then exchanged for one with light of wavelength λ₂, and the cylinder begins to evacuate again. How many complete light-dark-light transitions will be seen in the detector until vacuum is re-established in the cylinder?arrow_forwardA student performs a double-slit experiment using a monochromatic light source, two slits spaced 0.10 mmapart, and a screen located 150 cm away. The bright fringes are located 0.30 cm apart. If the distance betweenthe slits was changed to 0.20 mm, what would the average distance between bright fringes become?a. 0.15 cm d. 0.60 cmb. 0.30 cm e. 1.5 mc. 0.50 cmarrow_forward
- QUESTION 9 In a Young’s Double Slit Experiment light passes through two narrow slits of ? = 0.8 ??. The distance from double slit to the screen is 1.6 m. The distance from central fringe to the nth fringe is 5 cm. The wavelength of the light is 625 nm. The path difference correspond to A. a minimum B. a position between maximum and minimum. C. a maximum D. a maximum and minimumarrow_forwardAn investigator finds a fiber at a crime scene that he wishes to use as evidence against a suspect. He gives the fiber to a technician to test the properties of the fiber. To measure the diameter of the fiber, the technician places it between two flat glass plates at their ends as in Figure P24.24. When the plates, of length 14.0 cm, are illuminated from above with light of wavelength 6.50 x 102 nm, she observes bright interference bands separated by 0.580 mm. What is the diameter of the fiber?arrow_forwardIn a Young’s Double Slit Experiment the distance between two slits is 0.150 mm and the length from the double slit to the screen is 120 cm. The distance from central fringe to the nth fringe is 2 cm. The wavelength of the light is 750 nm. What is the path difference for the rays from the two slits arriving at a point on the screen, say point P? A. 1.5 x 10-6 m B. 3.5 x 10-6 m C. 2.5 x 10-6 m D. 4.0 x 10-6 marrow_forward
- Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill