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Transvers waves: Frequency of Guitar string.

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As the drawing shows, the length of a guitar string is 0.628 m. The frets are numbered for convenience. A performer can play a musical scale on a single string, because the spacing between the frets is designed according to the following rule: When the string is pushed against any fret j, the fundamental frequency of the shortened string is larger by a factor of the twelfth root of two (122) than it is when the string is pushed against the fret j - 1.

Assuming that the tension in the string is the same for any note, find the spacing
(a) between fret 2 and fret 1
1 cm and
(b) between fret 7 and fret 6
2 cm.

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Solution Summary

Spacing between frets of a guitar are calculated for desired notes.

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