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 = 0.0350µum. 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.'?
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 = 0.0350µum. 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.'?
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![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.’?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84d0f3d8-91eb-4c63-9951-4d4796754d53%2F4765e32b-790e-4190-8c61-f664613a1ab2%2Fbu1lf3_processed.png&w=3840&q=75)
Transcribed Image Text: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.’?
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