The figure shows two loudspeakers (A) and (B), and a point (C) where a listener is positioned. The speakers vibrate in phase and are playing a 68.0 Hz tone. The speed of sound is 343 m/s. The listener at point (C) hears the third constructive interference at a distance 4.00 m as measured from speaker (A). What is the separation (d) between the two speakers?

The figure shows two loudspeakers (A) and (B), and a point (C) where a listener is positioned. The speakers vibrate in phase and are playing a 68.0 Hz tone. The speed of sound is 343 m/s. The listener at point (C) hears the third constructive interference at a distance 4.00 m as measured from speaker (A). What is the separation (d) between the two speakers?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter14: Superposition And Standing Waves

Section: Chapter Questions

Problem 17P

See similar textbooks

Similar questions

Two identical loudspeakers 2.0 m apart are emitting 1800 Hz sound waves into a room where the speed of sound is 340 m/s. Is the point 4.0 m directlyin front of one of the speakers, perpendicular to the line joining the speakers, a point of maximum constructive interference, perfect destructive interference, or something in between?
A point source broadcasts sound into a uniform medium. If the intensity at a distance r is I, by what factor will the intensity change when the distance changes to 1.8r?
Two identical loudspeakers 2.0 m apart are emitting sound waves into a room where the speed of sound is 340 m/s. Abby is standing 5.0 m in front of one of the speakers, perpendicular to the line joining the speakers, and hears a maximum in the intensity of the sound. What is the lowest possible frequency of sound for which this is possible?
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
The acoustic impedance of water is Zwater = 1440000 kg/(m2 s), and that of bone is Zbone = 7800000 kg/(m2 s). What proportion of the energy of a sound wave propagating in water will be reflected at the water-bone boundary?
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.
In the singing rod demonstration, Mr. H holds a 2.13-m length of aluminum rod in the exact center. With rosin on his fingers, he slides his sticky fingers back and forth over the rod until it begins to sing out with a very pure tone. Assuming waves travel at speeds of 6320 m/s within the aluminum and that the standing wave pattern is characteristic of one-half wavelength between the rod's ends, determine the frequency of the sound.
Two loudspeakers, placed on opposite walls of a 10m long room, emit pure sine waves with f = 170 Hz coherently. If we were exactly in the middle of the room, where the waves are interfering constructively, what is the shortest distance we should travel towards one of the speakers so that the waves cancel out completely? Assume the speed of sound in air is 340 m/s.
A person standing 1.10 m from a portable speaker hears its sound at an intensity of 7.90 ✕ 10−3 W/m2. HINT (a) Find the corresponding decibel level. 98.98dB (b) Find the sound intensity (in W/m2) at a distance of 24.0 m, assuming the sound propagates as a spherical wave. W/m2 (c) Find the decibel level at a distance of 24.0 m. dB
Two in-phase loudspeakers that 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 experiencesdestructive interference for the first time. What is the frequency of the sound? The speed of sound in air is 343 m/s.
Two small speakers, 0.690 m apart, are facing in the same direction. They are driven by one 676 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.) 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 she position herself? Enter your answer in 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 she position herself now? Enter your answer in m.
Two speakers, each with a power output of 0.370 W, are mounted facing each other and 43.8 m apart. If the speakers are each broadcasting an amplified static buzz uniformly in all directions, determine the following. (a) the total sound intensity a person hears when they are midway between the speakers (b) the total sound intensity the person hears after they move directly toward one of the speakers for a distance of 7.7 m