Two in-phase loudspeakers are 3.00 m apart. They emit sound with a frequency of

Question

Two in-phase loudspeakers are 3.00 m apart. They emit sound with a frequency of 490 Hz. A microphone is placed half-way between the speakers and then moved along the line joining the two speakers until the first point of constructive interference is found. At what distance from that midpoint is that first point? The speed of sound in air is 343 m/s.

Please work with this example. This question was asked on chegg and was not answered using the numeric values provided. Because this problem was not worked I could not understand the explanation.

Explanation / Answer

For constructive interference, the distance of first point from the mid point of two speakers is

d = lambda / 2

= ( v / f) / 2

= (343 m/s / 490 Hz) / 2

= 0.35 m

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