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The 64.0-cm-long string of a guitar has a fundamental frequency of 330 Hz when it vibrates freely along its entire length. A fret is provided for limiting vibration to just the lower two-thirds of the string.

(a) If the string is pressed down at this fret and plucked, what is the new fundamental frequency?

(b) What if the guitarist can play a "natural harmonic" by gently touching the string at the location of this fret and plucking the string about one-sixth of the way along its length from the other end. What frequency will be heard then?

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John Edward Cayas
John Edward CayasLv10
8 Nov 2020

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