# Modern Physics - Range of Lengths of Pipes

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).

© BrainMass Inc. brainmass.com October 9, 2019, 10:33 pm ad1c9bdddfhttps://brainmass.com/physics/sound-hearing/determining-range-lengths-pipes-224003

#### 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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