B D C |x- Two loudspeakers are placed at points A and B, a distance D apart (see figure). The loudspeakers are driven by the same amplifier and produce sound waves with a frequency f. Take the speed of sound in air to be va. If a small microphone is moved from point B along line BC (see figure) to a position infinitely far away from point B, in total N points of constructive interference are observed. Between which two limits f..... and f... lies the emitted frequency f (so fmin< f

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Two loudspeakers are placed at points A and B, a distance D apart (see figure). The loudspeakers are driven
by the same amplifier and produce sound waves with a frequency f. Take the speed of sound in air to be va.
If a small microphone is moved from point B along line BC (see figure) to a position infinitely far away from
point B, in total N points of constructive interference are observed.
Between which two limits fmin and fmax lies the emitted frequency f (so fmin <ƒ < fmax)?
Hint: use that there are N points of constructive interference to calculate fmin; use that there are no N +1
points of constructive interference to calculate fmax.
Transcribed Image Text:A B D X C Two loudspeakers are placed at points A and B, a distance D apart (see figure). The loudspeakers are driven by the same amplifier and produce sound waves with a frequency f. Take the speed of sound in air to be va. If a small microphone is moved from point B along line BC (see figure) to a position infinitely far away from point B, in total N points of constructive interference are observed. Between which two limits fmin and fmax lies the emitted frequency f (so fmin <ƒ < fmax)? Hint: use that there are N points of constructive interference to calculate fmin; use that there are no N +1 points of constructive interference to calculate fmax.
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