Question

Two identical loudspeakers 2.20 m apart are emitting sound waves into a room where the speed of sound is 340 m/s. Abby is standing 4.00 m in front of one of the speakers, perpendicular to the line joining the speakers, and hears a maximum in the intensity of the sound.

What is the lowest possible frequency of sound for which this is possible?

Answer #1

And as the distance between the two sources is d = 4.0 m, so, the
distance between the observer and the 2nd source is

And so, the path difference is

And the condition for constructive interference is

where, n = 1, 2, 3, 4, ......, integers.

where, c is the speed of the sound in the air and f is the
frequency of the wave.

And so, the frequency is

And so, the lowest frequency is for n = 1, and the numerical value
of this is given by

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