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The drawing shows a loudspeaker A and point C, where a listeer is positioned. A second...

The drawing shows a loudspeaker A and point C, where a listeer is positioned. A second loudspeaker B is located somewhere to the right of A. Both speakers vibrate in phase and are playing a 58.9-Hz tone. The speed of sound is 340 m/s. What is the closest to speaker A that speaker B can be located, so that the listener hears no sound?

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Answer #1

For listener to hear no sound, there should be destructive interference at point C between the sound waves from the two speakers.

That means that the 2 sound waves must be 180° out of phase at point C.
If speakers A and B are as close as possible, The distance from B to C must be half a wavelength more than the distance from A to C.

To find the wavelength, we use the relationship:
wave speed = frequency * wavelength 8 340 58.9-5.77m רד 2.89 m 2 em

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