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a) Strings on a full-scale violin are 32 centimeters long. The third harmonic of the fourth...

a) Strings on a full-scale violin are 32 centimeters long. The third harmonic of the fourth string vibrates at a frequency of 1320 Hz. What is the wavelength of the vibration of the string in this third-harmonic mode? (Hint: draw a sketch)

b) What is the fundamental frequency of this tone? Show your work

c) What is the speed of a wave on this string? Show your work

d) The violinist firmly places a finger on the string 1/3 of the way from its upper end, effectively shortening the string. What is the new fundamental frequency? Show your work

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