Two sound sources emit sound in phase with an unknown frequency f. One sound source is at the origin and the other is at 4.30mĵ. The speed of sound is 340 in air. An observer starts at F= 10.32mî + 2.15mĵ, a location of constructive interference. They walk in the direction and the next time they encounter constructive interference is at 7= 10.32mî. They then start to walk in the direction, so their position is zî. 4.3m Origin 10.32mi+2.15m 10.32m 18. What is the frequency of the sound sources? (a) 79Hz (b) 158/la

Principles of Physics: A Calculus-Based Text
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Chapter14: Superposition And Standing Waves
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The answers are D for #18 and C for #19 could someone please explain why this is and how to find it. 

Two sound sources emit sound in phase with an unknown frequency f.
One sound source is at the origin and the other is at 4.30mĵ. The speed of
sound is 340 in air.
An observer starts at F= 10.32mî + 2.15mĵ, a location of constructive
interference. They walk in the direction and the next time they encounter
constructive interference is at 7= 10.32mî.
They then start to walk in the -î direction, so their position is zî.
4.3m
Origin
10.32mi+2.15m
10.32m
18. What is the frequency f of the sound sources?
(a) 79Hz
(b) 158Hz
(c) 292 Hz
(d) 395Hz
(e) 731Hz
(a) 1.57m
(b) 2.29m
(c) 3.23m
(d) 4.52m
(e) 6.52m
19. As the observer moves towards the origin, starting at 10.32mî and
moving in the negative x-direction, what is the value of x the second
time they encounter destructive interference (in other words a quiet
sound)
Transcribed Image Text:Two sound sources emit sound in phase with an unknown frequency f. One sound source is at the origin and the other is at 4.30mĵ. The speed of sound is 340 in air. An observer starts at F= 10.32mî + 2.15mĵ, a location of constructive interference. They walk in the direction and the next time they encounter constructive interference is at 7= 10.32mî. They then start to walk in the -î direction, so their position is zî. 4.3m Origin 10.32mi+2.15m 10.32m 18. What is the frequency f of the sound sources? (a) 79Hz (b) 158Hz (c) 292 Hz (d) 395Hz (e) 731Hz (a) 1.57m (b) 2.29m (c) 3.23m (d) 4.52m (e) 6.52m 19. As the observer moves towards the origin, starting at 10.32mî and moving in the negative x-direction, what is the value of x the second time they encounter destructive interference (in other words a quiet sound)
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