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    Modern Physics - Range of Lengths of Pipes

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    If you were to build a pipe organ with open-tube pipes spanning the range of human hearing (20 Hz to 20 kHz), what would be the range of the lengths of pipes required?

    Shortest pipe (in meters).

    Longest pipe (in meters).

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    Solution Preview

    The speed of sound in air is v = 343 m/s.

    First, let f= 20 Hz.

    Wavelength lambda = v/f = (343 m/s)/(20 Hz) = 17.15 m.

    Since an open-tube ...

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