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What are the frequencies of the notes produced in an open and closed pipes in terms of the length of pipe L and velocity of waves v?.

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The frequencies of all the harmonics present in an open pipe are

n = (p + 1) \(\frac v{4L}\) = (p + 1) \(\frac v{4(I+2e)'}\)

where p = 0,1,2,3,......

The frequencies of the odd harmonics present in a closed pipe are

n = (2p + 1) \(\frac v{4L}\) = (p + 1) \(\frac v{4(I+e)'}\)

where p = 0,1, 2, 3, … .

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