Question

how does the length of a vibrating air column determine the pitch of the sound?

Answer 1

Notes of different frequency are produced using different pipes with different lengths ranging from ~ 10 mm to more than ~ 5 m. ... In all cases, the longer the length of the vibrating air column, the lower the frequency of the note. An Open-closed tube will sound a lower note than an Open-Open tube of the same length.

Answer 2

The length of the auditory canal is about 25 mm. Take the speed of sound in air as 340 m.s-1. If the ear is excited at a natural frequency of vibration, then large amplitude oscillations can be excited (resonance). Hence, sounds will appear loudest in the frequency range from about 3000 Hz to about 4000 Hz.

Thus, the length of the air column is equal to one-half of the wavelength for the first harmonic. The standing wave pattern for the second harmonic of an open-end air column could be produced if another antinode and node was added to the pattern. This would result in a total of three antinodes and two nodes.

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