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?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Chapter18: Superposition And Standing Waves
Section: Chapter Questions
Problem 18.5P: A tuning fork generates sound waves with a frequency of 246 Hz. The waves travel in opposite...
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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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