Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 35, Problem 3PQ
To determine
The minimum distance between the speakers in terms of the wavelength.
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Two loudspeakers are placed above and below each other, as in Figure P14.40 and driven by the same source at a frequency of 4.50 x 102 Hz. An observer is in front of the speakers (to the right) at point O, at the same distance from each speaker. What minimum vertical distance upward should the top speaker be moved to create destructive interference at point O?
Two loudspeakers, A and B, are separated by a distance of 2.0 m. The speakers emit sound waves at a frequency of 680 Hz that are exactly out of phase. The speed of sound is 343 m/s. What are the next three distances from speaker A along the +x axis will a points of destructive interference occur?
The figure shows a loudspeaker A and point C, where a listener is positioned. [AC| = 4.50 m and the angle 8 = 42 °. A
second loudspeaker B is located somewhere to the left of A. Both speakers vibrate in phase and are playing a 69.0 Hz
tone. The speed of sound is 343 m/s. Excluding point (A), what is the fourth closest to speaker A that speaker B can be
located, so that the listener hears maximum sound?
Chapter 35 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 35.1 - Perhaps Newton never observed a diffraction...Ch. 35.1 - Prob. 35.2CECh. 35.2 - Prob. 35.3CECh. 35.3 - Prob. 35.4CECh. 35.4 - When we studied Youngs double-slit experiment, we...Ch. 35.6 - Prob. 35.6CECh. 35 - Light Is a Wave C As shown in Figure P35.1, spray...Ch. 35 - Sound Wave Interference Revisited Draw two...Ch. 35 - Prob. 3PQCh. 35 - You are seated on a couch equidistant between two...
Ch. 35 - Prob. 5PQCh. 35 - Prob. 6PQCh. 35 - A student shines a red laser pointer with a...Ch. 35 - Monochromatic light is incident on a pair of slits...Ch. 35 - Prob. 9PQCh. 35 - In a Youngs double-slit experiment with microwaves...Ch. 35 - A beam from a helium-neon laser with wavelength...Ch. 35 - Prob. 12PQCh. 35 - Prob. 13PQCh. 35 - Prob. 14PQCh. 35 - Light from a sodium vapor lamp ( = 589 nm) forms...Ch. 35 - Prob. 16PQCh. 35 - Prob. 17PQCh. 35 - Prob. 18PQCh. 35 - Prob. 19PQCh. 35 - Prob. 20PQCh. 35 - Prob. 21PQCh. 35 - Prob. 22PQCh. 35 - Prob. 23PQCh. 35 - Figure P35.24 shows the diffraction patterns...Ch. 35 - Prob. 25PQCh. 35 - Prob. 26PQCh. 35 - A thread must have a uniform thickness of 0.525...Ch. 35 - Prob. 28PQCh. 35 - Prob. 29PQCh. 35 - A radio wave of wavelength 21.5 cm passes through...Ch. 35 - Prob. 31PQCh. 35 - Prob. 32PQCh. 35 - A single slit is illuminated by light consisting...Ch. 35 - Prob. 34PQCh. 35 - Prob. 35PQCh. 35 - Prob. 36PQCh. 35 - Prob. 37PQCh. 35 - Prob. 38PQCh. 35 - Prob. 39PQCh. 35 - Prob. 40PQCh. 35 - Prob. 41PQCh. 35 - Prob. 42PQCh. 35 - Prob. 43PQCh. 35 - Prob. 44PQCh. 35 - Prob. 45PQCh. 35 - Prob. 46PQCh. 35 - Prob. 47PQCh. 35 - Prob. 48PQCh. 35 - Figure P35.49 shows the intensity of the...Ch. 35 - Prob. 50PQCh. 35 - Prob. 51PQCh. 35 - Prob. 52PQCh. 35 - Light of wavelength 750.0 nm passes through a...Ch. 35 - Prob. 54PQCh. 35 - Prob. 55PQCh. 35 - Prob. 56PQCh. 35 - Light of wavelength 515 nm is incident on two...Ch. 35 - Light of wavelength 515 nm is incident on two...Ch. 35 - A Two slits are separated by distance d and each...Ch. 35 - Prob. 60PQCh. 35 - Prob. 61PQCh. 35 - If you spray paint through two slits, what pattern...Ch. 35 - Prob. 63PQCh. 35 - Prob. 64PQCh. 35 - Prob. 65PQCh. 35 - Prob. 66PQCh. 35 - Prob. 67PQCh. 35 - Prob. 68PQCh. 35 - Prob. 69PQCh. 35 - Prob. 70PQCh. 35 - Prob. 71PQCh. 35 - Prob. 72PQCh. 35 - Prob. 73PQCh. 35 - Prob. 74PQCh. 35 - Prob. 75PQCh. 35 - Prob. 76PQCh. 35 - Prob. 77PQCh. 35 - Another way to construct a double-slit experiment...Ch. 35 - Prob. 79PQCh. 35 - Prob. 80PQCh. 35 - Table P35.80 presents data gathered by students...Ch. 35 - Prob. 82PQCh. 35 - Prob. 83PQCh. 35 - Prob. 84PQCh. 35 - Prob. 85PQCh. 35 - Prob. 86PQCh. 35 - Prob. 87PQCh. 35 - Prob. 88PQCh. 35 - A One of the slits in a Youngs double-slit...Ch. 35 - Prob. 90PQ
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- You are seated on a couch equidistant between two speakers. The speakers are 2.0 m apart and you are seated 4.0 m away from the point between the speakers as shown in Figure P35.4. Both speakers play an A note (a constant frequency of 440 Hz) in phase and at the same volume. As you move left and right along the couch, you notice that the volume alternates between minimum and maximum due to interference effects. Assume the speed of sound is 343 m/s. a. When you are seated at the center of the couch, is the sound a maximum or minimum in volume? b. If you slide along the couch to the left or right, approximately how far do you need to move until you reach the next location that has the same volume? (Hint: You may wish to obtain an exact expression and then use a spreadsheet or trial and error to find an approximate solution.) FIGURE P35.4arrow_forwardA riverside warehouse has several small doors facing the river. Two of these doors are open as shown in Figure P27.17. The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 150 in from the wall with the open doors. Person A stands along a line passing through the midpoint between the open doors, and person B stands a distance y = 20 m to his side. A boat o the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 5.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to center.arrow_forwardConsider the double-slit arrangement shown in Figure P37.60, where the slit separation is d and the distance from the slit to the screen is L. A sheet of transparent plastic having an index of refraction n and thickness t is placed over the upper slit. As a result, the central maximum of the interference pattern moves upward a distance y Find y.arrow_forward
- Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.arrow_forwardA point source is generating (3D) spherical waves. The intensity of these waves at a distance of 3.6 m from the source is I. What is the intensity of these waves, in W/m2, at a distance of 7.2 m from the source? Select from the following options... 4I 2I I 1/2I 1/4Iarrow_forwardWhat is the minimum thickness of a soap-bubble film (n = 1.33) that will result in constructive interference in the reflected light if the film is illuminated by light with wavelength 602 nm? (Give your answer in nm.) Now assume that the soap bubble film is on top of a glass slide (n=1.50). What is the minimum thickness for constructive interference? Give your answer in nm. What other film thicknesses will produce constructive interference for the soap bubble with air on both sides? (Give the second thinnest film in nm.) What other film thicknesses will produce constructive interference for the soap bubble with air on both sides? (Give the third thinnest film in nm.)arrow_forward
- What is the lowest frequency that would have a maxima reflection off a n=1.3 material with a345 nm thick n=1.6 coating in terahertz?arrow_forward1)Being two pure wave loudspeakers, which are on opposite walls of a 10m long room, in a form of length f = 170 Hz in a coherent way. If we were exactly in the middle of the room, where wave interference is constructive, what is the shortest distance we must move towards one of the speakers for the waves to cancel out completely? Suppose the speed of sound is not 340 m/s.arrow_forwardA sheet of glass is coated with a 500-nm-thick layer of oil (n = 1.42).a. For what visible wavelengths of light do the reflected waves interfere constructively?b. For what visible wavelengths of light do the reflected waves interfere destructively?c. What is the color of reflected light? What is the color of transmitted light?arrow_forward
- 1)Two loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves at f= 170 Hz coherently. If we were exactly in the middle of the room, where the interference of waves is constructive, what is the shortest distance we should travel towards one of the speakers so that the waves cancel out completely?" Assume that the speed of sound at air is 340 m/s.arrow_forwardTwo loudspeakers in a 40 C room emit 650 Hz sound waves along the x-axis. If the speakers are in phase, what is the smallest distance between the speakers for which the interference of the sound waves is destructive?arrow_forward1.Being two pure wave loudspeakers, which are on opposite walls of a 10m long room, in a form of length f = 170 Hz in a coherent way. If we were exactly in the middle of the room, where wave interference is constructive, what is the shortest distance we must move towards one of the speakers for the waves to cancel out completely? Suppose the speed of sound is not 340 m/s. Answer: 0.5 m ?arrow_forward
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Spectra Interference: Crash Course Physics #40; Author: CrashCourse;https://www.youtube.com/watch?v=-ob7foUzXaY;License: Standard YouTube License, CC-BY