College Physics (10th Edition)
10th Edition
ISBN: 9780321902788
Author: Hugh D. Young, Philip W. Adams, Raymond Joseph Chastain
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 31P
In a certain home sound system, two small speakers are located so that one is 45.0 cm closer to the listener than the other. For what frequencies of audible sound will these speakers produce (a) destructive interference at the listener, (b) constructive interference at the listener? In each case, find only the three lowest audible frequencies.
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Students have asked these similar questions
In a certain home sound system, two small speakers are located so that one is 70.0 cm closer to the listener than the other.
a)For what frequencies of audible sound will these speakers produce destructive interference at the listener? (Find only the three lowest audible frequencies.)
b)For what frequencies of audible sound will these speakers produce constructive interference at the listener? (Find only the three lowest audible frequencies).
Two compact sources of sound near each other produce in-phase sine waves at
each source. One source is positioned at a distance x, =12.00 m from a microphone
2.
and the other source is positioned at a distance of x, =13.40 m from the same
microphone. The amplitude of the sound at the microphone from each source by itself
is s = 0.0350µm. The plane waves come from essentially the same direction so there
will be interference.
a. If the frequency emitted by the two sources is f = 425.0Hz and the speed of
sound is v= 340.0m/ s, what is the phase difference, 8, in radians, due to the
path length differences to the microphone?
b. When both sources are on, interference changes the total amplitude to
s, = 2s, cos(8/2). What is the total amplitude for the phase difference found in
part 'a.’?
A trumpet creates a sound intensity level of 9.80 x 1o dB at a distance of 1.10 m.
(a) What is the sound intensity of a trumpet at this distance?
|W/m2
(b) What is the sound intensity of five trumpets at this distance?
|W/m2
(c) Find the sound intensity of five trumpets at the location of the first row of an audience, 9.60 m away, assuming, for simplicity, the sound energy propagates uniformly in all directions.
W/m2
(d) Calculate the decibel level of the five trumpets in the first row.
dB
(e) If the trumpets are being played in an outdoor auditorium, how far away, in theory, can their combined sound be heard?
m
(f) In practice such a sound could not be heard once the listener was 2-3 km away. Why can't the sound be heard at the distance found in part (e)? Hint: In a very quiet room the ambient sound intensity
level is about 30 dB.
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Chapter 12 Solutions
College Physics (10th Edition)
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