Two small speakers A and B are driven in step at 735 Hz by the same audio oscill

Question

Two small speakers A and B are driven in step at 735 Hz by the same audio oscillator. These speakers both start out 4.50 mfrom the listener, but speaker A is slowly moved away. (See the figure (Figure 1) ). The speed of sound in air is 344 m/s .

Part A

At what distance d will the sound from the speakers first produce destructive interference at the location of the listener?

Express your answer in meters to three significant figures.

Part B

If A keeps moving, at what distance d will the speakers next produce destructive interference at the listener?

Express your answer in meters to three significant figures.

Part C

After A starts moving away, at what distance will the speakers first produce constructive interference at the listener?

Express your answer in meters to three significant figures.

Explanation / Answer

Ans:-

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 / 2*735 = 0.234m

Part B
3*0.234 = 0.702m

Part C
The distance is = 2*0.234 = 0.468m

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