Diagrammatically show first two modes of vibrations in case of an open organ pipe and write the ratio of their frequencies

Modes of vibration in an open organ pipe are represented by –

Describe the various modes of vibrations of an open organ pipe.

Vibrations in open organ pipe

Modes of vibration in a closed organ pipe are represented by –

The frequency of vibration of open orgen pipe is

The frequency of open organ pipe is

Discuss various modes of vibration in open ends organ pipe. Also, show that the ratio of frequencies of different harmonics with first harmonic in open pipe is 1:2:3.

Assertion: The fundamental frequency of vibration of an open organ pipe remains same if the radius of the pipe is doubled. Reason: Frequency of vibration of an open organ pipe is independent of the radius of pipe.

The frequency of the first overtone of a closed organ pipe is same as that of first overtone of an open organ pipe. What is the ration of their lengths?

In open organ pipe, if fundamental frequency is n then the other frequencies are