A microphone is located on the line connecting two speakers that are 0.546 m apart and oscillating 180degrees out of phase. The microphone is 2.00 m from the midpoint of the two speakers.

Question

A microphone is located on the line connecting two speakers that are 0.546 m apart and oscillating 180degrees out of phase. The microphone is 2.00 m from the midpoint of the two speakers.
What is the lowest frequency that produces an interference maximum at the microphone's location?
What is the next lowest frequency that produces an interference maximum at the microphone's location?

bobpursley · Answer

It is not clear where the mic is? a radius of 2 meters is a lot of loci.

The idea here is to find a relationship between the distances to each speaker that results in some integer n + 1/2 wavelengths difference in paths.