The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz. The oscillating length of a D-string on a certain guitar is 0.63m.
(a) What is the wavelength, in meters, of a standing wave in the D-string when it is oscillating at its third harmonic (also called its second overtone)?
(b) Determine the frequency, in hertz, of the third harmonic of the tone produced by the properly tuned D-string.
(c) The guitarist shortens the oscillating length of the properly tuned D-string by 0.11m by pressing on the string with a finger. What is the fundamental frequency, in hertz, of the new tone that is produced when the string is plucked?
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