The water of the bottom resonates at 7 Hz
The air in the well has a density of a bulk modulus of
The frequency of water is given by
, L is the depth of the well from the water surface to the open end at the top.
, is the bulk modules, is the density of air in the well
Both the top of the well and the top of the water are displacement nodes and anti-nodes, respectively. Exactly one-fourth of a wavelength may fit within the well's depth at the lowest resonance frequency.
If d is the depth and is the wavelength, then .
The frequency is
Where v is the speed of sound. The speed of sound is given by , is the bulk modulus is the density of air in the well. Thus and
One might imagine the well as an open organ pipe. The formula for its fundamental frequency is
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