Two loudspeakers are placed a distance of 6 m above and below one another and dr

Question

Two loudspeakers are placed a distance of 6 m above and below one another and driven by the same source at a frequency of 407.634 Hz . A detector is positioned a perpendicular distance of 13 m from the two speakers and a vertical height 4.9 m from the lower speaker. This results in constructive interference at the first order maximum.

What minimum distance directly toward or away from the detector should the top speaker be moved in order to create destructive interference between the two speakers at the location of the detector? The velocity of sound is 345 m/s. Answer in units of m

Explanation / Answer

The two waves will be in phase and constructively interfere at the detector as long as the speakers

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