Show that in a closed end organ pipe the first three harmonics are in the ratio of 1 : 3 : 5.

At the closed end of an organ pipe :

In closed organ pipe at one end-

A closed organ pipe emits harmonics in the ratio of

Show that in open organ pipe, all harmonics are present.

If the frequency of first harmonic of a closed pipe is in unison with the third harmonic of an open pipe. Then, the ratio of lengths of the pipe closed at one end to the open at both the ends is

A closed organ pipe is vibrating in first overtone and is in resonance with another open organ pipe vibrating in third harmonic. The ratio of lengths of the pipes respectively is

Third overtone of a closed organ pipe is in unison with fourth harmonic of an open organ pipe. Find the ratio of lengths of the two pipes.