Two small speakers A and B are driven in step at 740Hzby the same audio oscillat

Question

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

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

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

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

Two small speakers A and B are driven in step at 740Hzby the same audio oscillator. These speakers both start out 4.50m from the listener, but speaker A is slowly moved away. A) At what distance d will the sound from the speakers first produce destructive interference at the location of the listener? B) If A keeps moving, at what distance d will the speakers next produce destructive interference at the listener? C) After A starts moving away, at what distance will the speakers first produce constructive interference at the listener?

Explanation / Answer

?=c/v=343/740=46.3cm

a)For destructive interference path difference should be ?/2=23.1cm

b)For constructive intereference again, ?x=?=46.3cm

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