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Questions 3-24 · Q17

Q.Find the fundamental, first overtone and second overtone frequencies of a pipe, open at both the ends, of length 25 cm if the speed of sound in air is 330 m/s.

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For a pipe open at both ends of length L=25L=25 cm =0.25=0.25 m with v=330v=330 m/s: the fundamental frequency is n=v2L=3302×0.25=3300.5=660n=\dfrac{v}{2L}=\dfrac{330}{2\times0.25}=\dfrac{330}{0.5}=660 Hz. Since an open pipe supports ALL harmonics (Long Answer 9), the first overtone is the second harmonic, $2n=2\ti …

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