Unless indicated otherwise,

Chapter 16, Problem 35E

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QUESTION:

Problem 35E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 12.0 m to the right of speaker A. The frequency of the waves emitted by each speaker is 688 Hz. You are standing between the speakers, along the line connecting them, and are at a point of constructive interference. How far must you walk toward speaker B to move to a point of destructive interference?

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QUESTION:

Problem 35E

Unless indicated otherwise, assume the speed of sound in air to be v = 344 m/s.

Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 12.0 m to the right of speaker A. The frequency of the waves emitted by each speaker is 688 Hz. You are standing between the speakers, along the line connecting them, and are at a point of constructive interference. How far must you walk toward speaker B to move to a point of destructive interference?

ANSWER:

Solution 35E

Step 1:

The path difference is an integer number of wavelengths in constructive interference

The path difference is a half -integer number of wavelengths in constructive interference

We have relation

                            =

                            =0.5 m

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