The range of human hearing is roughly from twenty hertz to twenty kilohertz. Based on these limits and a value of 350 m/s for the speed of sound, what are the lengths of the longest and shortest pipes (open at both ends and producing sound at their fundamental frequencies) that you expect to find in a pipe organ?
m (shortest pipe)
m (longest pipe)
Compute the shortest and the longest wavelengths, using the standard formula
(wavelength) = (sound speed)/(frequency)
The length of a double-open-ended organ pipe is half of the wavelength.
ref:
http://www.glenbrook.k12.il.us/GBSSCI/PHYS/Class/sound/u11l5c.htm