A resonance tube for a pipe-organ is closed at the bottom, Ask an Expert

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A resonance tube for a pipe-organ is closed at the bottom by a speaker (pressure antinode) and open to the atmosphere at the top (pressure node).

How long should the tube be built so that its fundamental resonant frequency is 64 Hz (lowest C)? Assume the speed of sound is 340 m/s.

What are the next two harmonic frequencies above the fundamental frequency that would create resonance in the same tube?

What length tubes (also closed at one end) would have as their fundamental frequencies 128 Hz, 192 Hz, and 256 Hz?

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