Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal

Question

Two loudspeakers, A and B, are driven by the same amplifier and emit sinusoidal waves in phase. Speaker B is 2.00 m to the right of speaker A. The frequency of the sound waves produced by the loudspeakers is 218 Hz. Consider point P between the speakers and along the line connecting them, a distance x to the right of speaker A. Both speakers emit soundwaves that travel directly from the speaker to point P.

a.) For what values of x will destructive interference occur at point P?

b.) For what values of x will constructive interference occur at point P?

Explanation / Answer

The path difference is d=2.00 m.

For constructive interference , the distance x=d=2.00 m

For destructive interference, x=d/2=1.0 m

At Q, we observed constructive interference because the path difference is 6.0 m which is an integral multiple

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