A microphone is located on the line connecting two speakers that are 0.800 m apa

Question

A microphone is located on the line connecting two speakers that are 0.800 m apart and oscillating in phase. The microphone is 2.55 m from the midpoint of the two speakers.
What are the lowest two frequencies that produce an interference maximum at the microphones location. A microphone is located on the line connecting two speakers that are 0.800 m apart and oscillating in phase. The microphone is 2.55 m from the midpoint of the two speakers.
What are the lowest two frequencies that produce an interference maximum at the microphones location.
What are the lowest two frequencies that produce an interference maximum at the microphones location.

Explanation / Answer

distance from source to one speaker, r1 = 2.55 - 0.8/2

= 2.15 m

distance from source to second speaker, r2 = 2.55 + 0.8/2

= 2.95 m

so, path diffrence, r2 - r1 = 0.8 m

for interference maximum,
path diffrence, r2 - r1 = n*lamda (n = 1,2,3,4,...)

0.8 = n*(v/f)

0.8 = n*(340/f)

f = n*(340/0.8)

= 425*n (n = 1,2,3,4,.....)

so, f1 = 425 hz <<<<<<-------------Answer

f2 = 2*425

= 950 hz <<<<<<-------------Answer

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