Q. 45

An open organ pipe has a length of 5 cm. (a) Find the fundamental frequency of vibration of this pipe. (b) What is the highest harmonic of such a tube that is in the audible range? Speed of sound in air is 340 m s-1 and the audible range is 20-20,000 Hz.

Answer :

Length of organ pipe

The audible range is from 20 Hz to 20,000 Hz.

The fundamental frequency of an open organ pipe is:

On substituting the respective values ,we get:

(a)The fundamental frequency of vibration of this pipe= 3.4 kHz

(b) If the fundamental frequency is 3.4 kHz, then the highest harmonic in the audible range (20 Hz – 20 kHz) is:

Required highest harmonic

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