Question

Heya♡♡♡

can anyone explain me open organ pipe....

plzzz. no spamming.

Answer 1

Hello Mate,


Open organ pipe is the one with two open ends, and instead of the formula you mention you need to use

L=nv2fnL=nv2fn

where fnfn is the frequency of the nthnthmode, and n=1,2,3,...n=1,2,3,... your formula is for a closed organ pipe (with one open and one closed end).

EDIT

Because the number of half-wavelengths (λ/2λ/2) need to be an integral multiple in case of a open pipe. This is because both the ends of an open organ pipe are pressure nodes (or displacement antinodes), and the difference between two successive nodes (or antinodes) is λ2λ2. Therefore, to meet the resonance-condition, the number of half wavelengths between the ends need to be an integral value, therefore L=nv2fnL=nv2fn as v=fλv=fλ.

Hope this helps you