You and your friend end up playing violins in a concert. You two are playing identical, in-phase, sinusoidal waves of a single frequency. You are 4.0 meters apart. You find there are quiet spots and loud spots in the room indicated by the diagram. The grid lines are spaced at 1.0 meter. Assume the speed of sound is 343 m/s. Quiet 1.0 m Source 1 Loud Quiet Source 2 i) What is the path length difference for the two sound waves reaching the loud spot? Is this constructive or destructive interference? ii) What is the path length difference for the two sound waves reaching either of the quiet spots? Is this constructive or destructive interference? iii) What is the wavelength (2) of this sound? iv) What is the frequency (f) of this sound?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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You and your friend end up playing violins in a concert. You two are playing identical, in-phase,
sinusoidal waves of a single frequency. You are 4.0 meters apart. You find there are quiet spots
and loud spots in the room indicated by the diagram. The grid lines are spaced at 1.0 meter.
Assume the speed of sound is 343 m/s.
Quiet
1.0 m
Source 1
Loud
Quiet
Source 2
i) What is the path length difference for the two sound waves reaching the loud spot? Is this
constructive or destructive interference?
iv) What is the frequency (f) of this sound?
ii) What is the path length difference for the two sound waves reaching either of the quiet
spots? Is this constructive or destructive interference?
iii) What is the wavelength (2) of this sound?
Transcribed Image Text:You and your friend end up playing violins in a concert. You two are playing identical, in-phase, sinusoidal waves of a single frequency. You are 4.0 meters apart. You find there are quiet spots and loud spots in the room indicated by the diagram. The grid lines are spaced at 1.0 meter. Assume the speed of sound is 343 m/s. Quiet 1.0 m Source 1 Loud Quiet Source 2 i) What is the path length difference for the two sound waves reaching the loud spot? Is this constructive or destructive interference? iv) What is the frequency (f) of this sound? ii) What is the path length difference for the two sound waves reaching either of the quiet spots? Is this constructive or destructive interference? iii) What is the wavelength (2) of this sound?
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