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A violin string fixed at both ends and an organ pipe with one open end both have a resonant frequency of 200 Hz for the harmonic shown in the figure. The speed of sound is assumed as 343 m/s.
1) What is the length of the organ pipe?
2) What is the fundamental frequency for this organ pipe? (n=1)
3) If the length of the violin string = 0.2 m, what is the velocity of waves on the string?
4) The violin will produce a 200 Hz traveling sound wave. y = Asin(kx-ωt) What is the value of k in (m^-1)?
5) If you are in a moving vehicle playing the violin string at 200 Hz and the car is moving at 20 m/s towards a stationary wall, what frequency (Hz) of sound reflected on the wall will you hear from the vehicle?
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