Two speakers that are emitting sound with the same frequency in phase with each other and are separated by 3.00 m. Assume velocity of sound is 343 m/s a. If a person is standing 4.50 m down a line that perpendicularly 1.50 m 4.5 m 1.50 m bisects these speakers (as shown), will he hear constructive or destructive interference if the frequency of sound is 457 Hz? b. At this frequency how many wave lengths can fit in this distance from the speaker to him? If he walks 0.598 m vertically (direction shown in the picture as arrow) would he hear

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Two speakers that are emitting sound with the same frequency in
phase with each other and are separated by 3.00 m. Assume
1.50 m
velocity of sound is 343 m/s
a. If a person is standing 4.50 m down a line that perpendicularly
4.5 m
1.50 m
bisects these speakers (as shown), will he hear constructive or
destructive interference if the frequency of sound is 457 Hz?
b. At this frequency how many wave lengths can fit in this distance from the speaker to him?
c. If he walks 0.598 m vertically (direction shown in the picture as arrow) would he hear
constructive or destructive interference? (show me)
d. If he continues walking that direction, and moves 0.624 m further (1.222 m total) what does he
hear now, constructive or destructive? (show me)
Transcribed Image Text:Two speakers that are emitting sound with the same frequency in phase with each other and are separated by 3.00 m. Assume 1.50 m velocity of sound is 343 m/s a. If a person is standing 4.50 m down a line that perpendicularly 4.5 m 1.50 m bisects these speakers (as shown), will he hear constructive or destructive interference if the frequency of sound is 457 Hz? b. At this frequency how many wave lengths can fit in this distance from the speaker to him? c. If he walks 0.598 m vertically (direction shown in the picture as arrow) would he hear constructive or destructive interference? (show me) d. If he continues walking that direction, and moves 0.624 m further (1.222 m total) what does he hear now, constructive or destructive? (show me)
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