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2 identical speakers are in phase with eachother, at the same position on the x-axis, and...

2 identical speakers are in phase with eachother, at the same position on the x-axis, and both have a wavelength of 3 meters. They are seperated from eachother on the y-axis by a distance of 6 meters. While an observer maintains a constant position on the y-axis, determine the locations on the x-axis where the observer could relocate theirself where the sound intensity is at a minimum. The provided answers are 11.25 meters and 1.75 meters; however, I am unsure how to actually solve this problem. This is from the interference and diffraction chapter of my optics and thermodynamics course.

Solutions

Expert Solution

The two speakers are at a distance

To find the path difference of sound at point O,

Path difference

Phase difference

For minimum sound intensity at point O,

i)for ,

Squaring on both sides,

ii)for ,

Squaring on both sides,

genius_generous answered 1 year ago

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