The two sources of sound face each other and emit sounds of equal amplitude and

Question

The two sources of sound face each other and emit sounds of equal amplitude and equal frequency (361 Hz ) but 180 out of phase. Assume T=20C.

Part A

For what minimum separation of the two speakers will there be some point at which complete constructive interference occurs?

Express your answer with the appropriate units.

Part B

For what minimum separation of the two speakers will there be some point at which complete destructive interference occurs?

Express your answer with the appropriate units.

Explanation / Answer

for an intial phase diff of 180 deg
A. Maximum interface, if, path diff = 0.5*lambda
So, minimum distance = 1.5*lambda = 1.5*c/f = 1.5*334/361 = 1.387 m
B. For destructive destruction, path diff = lambda
min d = 2*lambda = 1.85 m

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