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When a string is plucked, two of the many frequencies that show up on an FFT...

When a string is plucked, two of the many frequencies that show up on an FFT graph are 339 Hz and 452 Hz. No frequencies between these two arise. If the speed of the waves in the string is 165 meters/second, how long is the string?

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Answer #1

The frequencies on a string are given as

For two consecutive frequencies,

           and

Solving these two, we have

From first equation,

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