COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 13, Problem 60QAP
To determine
The point will experience constructive interference.
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Students have asked these similar questions
SWI-1 Two speakers are in phase and are both playing a tone with a frequency of 250.0 Hz. A listener
starts at the location of speaker 2 and moves along the x axis. At what values of x are the first 3 locations
where he will hear an intensity minimum? Hint: these are the n = 0, 1, 2 points of destructive interference.
Take the speed of sound in air to be 343 m/s.
speaker 1
(0, 4.50m)
speaker 2
(0, 0)
X
There are two loudspeakers 3.0 m apart and both are playing a 686 Hz tone in phase.The speed of sound is 343 m/s. A person is standing directly in front of one of thetwo loudspeakers as shown in the figure and can only move along a line AB.a) Write the inherent phase difference.b) Write the pathlength difference in terms of x, which is a distance from thespeaker 1 to the person.c) At what distances x (calculate three values corresponding to integersm=0,1,2) from the speaker 1 do you hear a minimum sound intensity?
10-9. The following noise spectrum was obtained from a jet aircraft flying
overhead at an altitude of 250 m. Compute the equivalent A-weighted
sound level using sound power level addition in a spreadsheet program
you have written.
INTRODUCTION TO ENVIRONMENTAL ENGINEERING
Band center
Band level
frequency (Hz)
(dB)
125
85
250
88
500
96
1,000
100
2,000
104
4,000
101
Chapter 13 Solutions
COLLEGE PHYSICS
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- Your ear is capable of differentiating sounds that arrive at each ear just 0.34 ms apart, which is useful in determining where low frequency sound is originating from. (a) Suppose a low-frequency sound source is placed to the right of a person, whose ears are approximately 18 cm apart, and the speed of sound generated is 340 m/s. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear? (b) Assume the same person was scuba diving and a low-frequency sound source was to the right of the scuba diver. How long is the interval between when the sound arrives at the right ear and the sound arrives at the left ear, if the speed of sound in water is 1500 m/s? (c) What is significant about the time interval of the two situations?arrow_forwardConsider detectors of water waves at three locations A, B, and C in Active Figure 13.23b. Which of the following statements is true? (a) The wave speed is highest at location A. (b) The wave speed is highest at location C. (c) The detected wavelength is largest at location B. (d) The detected wavelength is largest at location C. (e) The detected frequency is highest at location C. (f) The detected frequency is highest at location A.arrow_forwardIf the aluminum rod in Example 18.6 were free at both ends, what audible frequencies would be heard? Compare your results with the results of Example 18.6 and explain the difference.arrow_forward
- Problem 12: Two speakers placed 0.98 m apart produce pure tones in sync with each other at a frequency of 1225 Hz. A microphone can be moved along a line parallel to the line joining the speakers and 9.6 m from it. An intensity maximum is measured a point Po where the microphone is equidistant from the two speakers. As we move the microphone away from Po to one side, we find intensity minima and maxima alternately. Take the speed of sound in air to be 344 m/s, and you can assume that the slits are close enough together that the equations that describe the interference pattern of light passing through two slits can be applied here. Part (a) What is the distance, in meters, between Po and the first intensity minimum? ly'₁l = 1 ~Part (b) What is the distance, in meters, between Po and the first intensity maximum? Part (c) What is the distance, in meters, between Po and the second intensity minimum? Part (d) What is the distance, in meters, between Po and the second intensity maximum? Part…arrow_forwarda) Assume the speed of sound is 343 m/s in a room. What is the wavelength produced by a tuning fork at 262 Hz? (this is approximately the frequency of middle C on a piano) b) Let there be two speakers, A and B, emitting sound with matched phase. If a microphone is originally exactly between A and B (so that the distance to each is L), how far to the left do we need to move it so that the microphone detects destructive interference? c) Would a person at the position in (b) hear anything? Why? d) If the microphone moves vertically on the page (let this be the y-axis) how does the total intensity vary with vertical distance? Let each speaker emit intensity lo a distance 1 meter from the source. e) How long would it take for a sound pulse to travel from A to B if L = 100 meters? %3|arrow_forwardAn interface is formed between a block of aluminium (with an acoustic impedance of 1.8 x 107 kg m2 s') and a block of copper (with an acoustic impedance of 4.6 x 107 kg m-2 s-1). Longitudinal sound waves travelling through the aluminium are normally incident on the boundary, and are partially reflected. a) What is the ratio of the amplitude of the reflected wave to that of the incident wave? Number b) What is the ratio of the amplitude of the transmitted wave to that of the incident wave? Number c) What percentage of the incident power is transmitted? Number d) What percentage of the incident power is reflected? Number % Ouit P Sove Questiarrow_forward
- Suppose that the separation between two speakers A and B is 4.90 m and the speakers are vibrating in-phase. They are playing identical 101-Hz tones and the speed of sound is 343 m/s. An observer is seated at a position directly facing speaker B in such a way that his line of sight extending to B is perpendicular to the imaginary line between A and B. What is the largest possible distance between speaker B and the observer, such that he observes destructive interference? Number i Unitsarrow_forwardTwo 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 marrow_forwardA 21.9 Hz oscillator is connected to two identical speakers located at a distance d = 10.2 m from each other, as shown in the figure. Paul holds a device that measures sound intensity as he walks from speaker s, to speaker s,. Location P on the figure indicates the location of minimum intensity between s, and s, that is furthest away from s,. How far is location P from speaker s,? The speed of sound is 343 m/s. m S2 d S1arrow_forward
- Two speakers that are emitting sound with the same frequency in phase with each other and are separated by 3.00 m. Assume 1.50 m velocity of sound is 343 m/s a. If a person is standing 4.50 m down a line that perpendicularly 4.5 m 1.50 m bisects these speakers (as shown), will he hear constructive or destructive interference if the frequency of sound is 457 Hz? b. At this frequency how many wave lengths can fit in this distance from the speaker to him? c. If he walks 0.598 m vertically (direction shown in the picture as arrow) would he hear constructive or destructive interference? (show me) d. If he continues walking that direction, and moves 0.624 m further (1.222 m total) what does he hear now, constructive or destructive? (show me)arrow_forwardS A person stands 13.00 m from a speaker, and 8.00 m from an identical speaker. What is the wavelength of the first (n=1) interference maximum (constructive)? (Speed of sound = 343 m/s) (Unit = m) demy of Science. All Rights Reserved. =h H K hulu 20 Enter New ✔arrow_forward27. Consider you are located at the origin of Cartesian coordinates. One speaker is placed at (3, 4) and the other speaker is at coordinate (12, 5). The two speakers are producing a pitch with 1715 Hz. Assume the air temperature is 20 C. Will you be able to hear the maximum or minimum or neither?arrow_forward
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