Two small speakers A and B are driven in step at 740 Hz by the same audio oscill

Question

Two small speakers A and B are driven in step at 740 Hz by the same audio oscillator. These speakers both start out 4.50 m from the listener, but speaker A is slowly moved away.

Part A :At what distance d will the sound from the speakers first produce destructive interference at the location of the listener?
Part B If A keeps moving, at what distance d will the speakers next produce destructive interference at the listener?
Part C: After A starts moving away, at what distance will the speakers first produce constructive interference at the listener?

Explanation / Answer

Here For destructive interference the distance should be (2n-1)/2where n = 1,2,3 etc.
For the first destructive interference the distance d = /2

Part A -
/2 =c/2n = 344.16 / 2*740 = 0.2325 m

Part B
3*0.2325 = 0.6976 m

Part C
The distance is = 2*0.2325 = 0.465 m

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