A tube can resonate when a standing sound wave can be set up within it. For a tube which is open in both ends the ends are anti-nodes for the standing waves and must therefore be separated
by a multiple of
. The fundamental frequency should
be
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Where L=1.19 m is the length of the tube. Putting in numbers we get
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We check to see that indeed the system resonates at that
frequency.
As an interesting aside we note that the resonance frequency
of such systems depends crucially on the density of gas that
is forced to resonate. The density of helium is about 8 times less
than that of air so resonance frequencies increase by a factor
if they are based on standing waves in helium rather
than in air! We illustrate this by blowing a recorder first with
air then with Helium. The recorder has the pitch of a
piccolo-flute when the standing waves occur in Helium rather
than air all because of the different densities of those two
media.