In: Physics
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.
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,