Speaker 1 is at x = 0 and speaker 2 is to the right and facing it at x = 3 m. The speakers are connected to the same amplifier, which plays a continuous tone of unknown frequency. If the first point of destructive interference is 0.18 m to the left of the center, find the frequency in Hz. The speed of sound is 345 m/s.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Speaker 1 is at x = 0 and speaker 2 is to the right
and facing it at x = 3 m. The speakers are
to the same amplifier, which plays a
tone of unknown frequency. If the
first point of destructive interference is 0.18 m to
the left of the center, find the frequency in Hz.
The speed of sound is 345 m/s.
connected
continuous
f =
Hz
Transcribed Image Text:Speaker 1 is at x = 0 and speaker 2 is to the right and facing it at x = 3 m. The speakers are to the same amplifier, which plays a tone of unknown frequency. If the first point of destructive interference is 0.18 m to the left of the center, find the frequency in Hz. The speed of sound is 345 m/s. connected continuous f = Hz
Expert Solution
Step 1

Given,

Speaker 1 is at  x = 0 and speaker 2 is to the right and facing it at x = 3m. 

The first point of destructive interference is 0.18m to the left of the center that means 1.5m+0.18m = 1.68 m from left speaker and 1.5m-0.18m = 1.32m from right speaker.

The speed of sound is 345 m/s.

Path difference ,x= 1.68m-1.32m = 0.36m

For first destructive interference , path difference = λ2, λ is wavelength.

 

 

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