Two loudspeakers on a concert stage are vibrating in phase. A listener is 45.9 m from...

Two loudspeakers on a concert stage are vibrating in phase. A listener is 45.9 m from the left speaker and 34.7 m from the right one. The listener can respond to all frequencies from 20 to 20 000 Hz, and the speed of sound is 343 m/s. What is the lowest frequency that can be heard loudly due to constructive interference?

Solutions

Expert Solution

Path difference of the two sound waves x = 45.9 m - 34.7m

= 11.2 m

speed of sound v = 343 m/s

the lowest frequency that can be heard loudly due toconstructive interference f = v / x

=30.7 Hz

Since for constructive interference path difference isintegral multiple of wavelength

genius_generous answered 11 months ago

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