Wavelength and resonant length equation

[baouba]

What's the relationship between a wavelength and the difference between consecutive resonant lengths (ΔL) for closed air columns? Basically, what's an equation for λ in terms of Δresonant length?

Thanks!

 

[Bobbywhy]

“A closed cylindrical air column will produce resonant standing waves at a fundamental frequency and at odd harmonics. The closed end is constrained to be a node of the wave and the open end is of course an antinode. This makes the fundamental mode such that the wavelength is four times the length of the air column.”

http://hyperphysics.phy-astr.gsu.edu/hbase/waves/clocol.html

The above website seems to have all the relationships and equations you wanted.

Cheers, Bobbywhy