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Resonant frequencies of pipes

(a) What are the first four resonant frequencies of a flute-like (open-open) tube 344cm long?

(b) Draw the pressure and velocity corresponding to the standing waves for each, and label the nodes N and the anti nodes A. Label each mode by its harmonic number.

(c) What are the first three resonant frequencies of a clarinet-like (closed-open) tube 172 cm long?

(d) Draw the pressure and velocity corresponding to the standing waves for each, and label the nodes N and the anti nodes A. Label each mode by its harmonic number.

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