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A violin string is 40 cm long. It sounds the musical note A (440 Hz) when...

A violin string is 40 cm long. It sounds the musical note A (440 Hz) when played without fingering.How far from the end of the string should you place your finger to play the note C (523 Hz)?
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Answer #1
Not that it makes a big difference at this point, but the way thisquestion works is as follows..

v = fλ so we know f=440Hz and the wavelength associatedwith the fundamental frequency is 2L
v = f(2L)
v = (440Hz)(2(40cm)) = 35200cm/s

Using this value for v we can solve the rest.

35200 = (523Hz)(2L) --- L = 33.65cm and the difference is40cm - 33.65cm = 6.35cm

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