Speaker 1 is at x = 0 and speaker 2 is to the rightand facing it at x = 3 m. The speakers areto the same amplifier, which plays atone of unknown frequency. If thefirst point of destructive interference is 0.18 m tothe left of the center, find the frequency in Hz.The speed of sound is 345 m/s.connectedcontinuousf =Hz

Answered: Speaker 1 is at x = 0 and speaker 2 is…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 56AP: Two sources as in phase and emit waves with =0.42 m. Determine whether constructive or destructive...

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Question

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 , $∆ x$ = $1.68 m - 1.32 m = 0.36 m$

For first destructive interference , path difference = $\frac{λ}{2}, λ i s w a v e l e n g t h .$

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