emit sound with the same frequency are placed along a wall and are separated by a distance of 5.00 m. A person is standing 12.0 m away from the wall, equidistant from the loudspeakers. When the person moves 1.00 m parallel to the wall, she experiences destructive interference for the first time. What is the frequen

emit sound with the same frequency are placed along a wall and are separated by a distance of 5.00 m. A person is standing 12.0 m away from the wall, equidistant from the loudspeakers. When the person moves 1.00 m parallel to the wall, she experiences destructive interference for the first time. What is the frequen

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter18: Superposition And Standing Waves

Section: Chapter Questions

Problem 10PQ

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A room is 6.0 m long and 3.0 m wide. At the front of the room, along one of the 3.0-m-wide walls, two loudspeakers are set 1.0 m apart, with the center point between them coinciding with the center point of the wall. The speakers emit a sound wave of a single frequency and a maximum in sound intensity is heard at the center of the back wall, 6.0 m from the speakers. What is the highest possible frequency of the sound from the speakers if no other maxima are heard anywhere along the back wall?
A 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.
In Figure OQ14.3, a sound wave of wavelength 0.8 m divides into two equal parts that recombine to interfere constructively, with the original difference between their path lengths being |r2 − r1| = 0.8 m. Rank the following situations according to the intensity of sound at the receiver from the highest to the lowest. Assume the tube walls absorb no sound energy. Give equal ranks to situations in which the intensity is equal. (a) From its original position, the sliding section is moved out by 0.1 m. (b) Next it slides out an additional 0.1 m. (c) It slides out still another 0.1 m. (d) It slides out 0.1 m more. Figure OQ14.3
Two in-phase loudspeakers are placed 6.00 m apart along one wall of a room. They emit sound with a frequency of 512Hz. Starting at the location of one of the loudspeakers, a microphone is moved in a direction perpendicular to the wall until constructive interference is detected for the first time. How far is the microphone from the wall at that point? The speed of sound in air is 330 m/s. a) 0.203 m b) 0.282 m c) 0.664 m d) 0.138 m 0.141 m
Two small speakers, 0.610 m apart, are facing in the same direction. They are driven by one 685 Hz oscillator and therefore emit identical sound waves in phase with one another at the respective points of origin. (The speed of sound waves in air is 343 m/s.) Two speakers are side by side, with one speaker on the left and one on the right. The speakers are separated by a distance d and emit sound waves in the same direction. A man stands directly in front of the speaker on the right but a distance x away from the right speaker. (a) A listener wishes to stand in front of one of the speakers, at the closest point (i.e., smallest x-value) where intensity is at a relative maximum. At what distance x from the nearest speaker should he position himself? (Enter your answer in m.) m (b) The listener now wishes to stand at the closest point along that line where intensity is at a relative minimum. At what distance x should he position himself now? (Enter your answer in m.) m
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 placed 6 m apart are driven in phase by an audio oscillator whose frequency range is 950 Hz to 1350 Hz. A point P is located 5 m from one loudspeaker and 3.5 m from the other. The speed of sound is 350 m/s. The frequency produced by the oscillator, for which constructive interference of sound occurs at point P, is closest to what?
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.
Two speakers vibrate in phase with each other at 523 Hz. At certain points in the room, the sound waves from the two speakers interfere destructively. One such point is 2.28 m from speaker #1 and is between 2 m and 4 m from speaker #2. (a) How far is this point from speaker #2. Find all possible distances between 2 m and 4 m. The speed of sound in air is 343 m/s.
Two out of phase loudspeakers are some distance apart. A person stands 5.30 m from one speaker and 2.60 m from the other. What is the third lowest frequency at which constructive interference will occur? The speed of sound in air is 338 m/s.
9. A sound wave moves through a medium with density 560ˍkg/m³ when it encounters a medium with density 1500ˍkg/m³. What percentage of the wave is reflected? Transmitted?
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?