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 %3D 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 %3D will be interference.

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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 = 0.0350 um. The plane waves come from essentially the same direction so there
will be interference.
b. When both sources are on, interference changes the total amplitude to
s, = 2s, cos(dS/ 2). What is the total amplitude for the phase difference found in
part 'a.'?
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 = 0.0350 um. The plane waves come from essentially the same direction so there will be interference. b. When both sources are on, interference changes the total amplitude to s, = 2s, cos(dS/ 2). What is the total amplitude for the phase difference found in part 'a.'?
Expert Solution
Step 1

Given data:

The distance of one source from the microphone, x1=12 m

The distance of another source from the microphone, x2=13.4 m

The amplitude of sound at the microphone before interference, sm=0.0350×10-6 m

The amplitude after the interference changes to, sm'=2smcosδ2

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