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An open organ pipe has a length of 5 cm....

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 ms^-1` and the audible range is 20-20,000 Hz.

Text Solution

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The correct Answer is:
A, B, C, D
a. Here given
I=5xm=5xx10^=2m`
`v=340m/s`
`rarr n=V/(2I)=340/(2xx5xx10^-2)`
`=3.4kHz`
b. If the fundamental frequency =3.1kHz
then the highest Harmonic in the audible range `(20Hz-20kHz)`
`=20000/3400=5.8=5`
(Integral multiple of 3.4 kHz)`
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