The first string on a guitar (E4) is tuned to a frequency of 329.63Hz. If this string is 64.8cm long and has a mass density of 0.66 g/m a) What is the tension of the string? b) What is the frequency and the wavelength of the wave on the string if the string is resonating in the second harmonic? c) What is the frequency and the wavelength of the sound wave emitted by the string if the string is resonating in the second harmonic? d) What are the 4 shortest lengths of pipe that will resonate with this string in the second harmonic, and how many open ends will each pipe need to have? (Hint: consider the first few harmonics possible with either set up: two open ends and one open + one closed.

University Physics Volume 1
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Chapter16: Waves
Section: Chapter Questions
Problem 28CQ: A string of a constant linear mass density is held taut by two students, each holding one end. The...
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The first string on a guitar (E4) is tuned to a frequency of 329.63Hz. If this string is
64.8cm long and has a mass density of 0.66 g/m
a) What is the tension of the string?
b) What is the frequency and the wavelength of the wave on the string if the string is
resonating in the second harmonic?
c) What is the frequency and the wavelength of the sound wave emitted by the string if
the string is resonating in the second harmonic?
d) What are the 4 shortest lengths of pipe that will resonate with this string in the second
harmonic, and how many open ends will each pipe need to have? (Hint: consider the first
few harmonics possible with either set up: two open ends and one open + one closed.

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