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The two nearest harmonics of a tube clos...

The two nearest harmonics of a tube closed at one end and open at other end are 220 Hz and 260 Hz. What is the fundamental frequency of the system?

A

`10Hz`

B

`20Hz`

C

`30Hz`

D

`40Hz`

Text Solution

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The correct Answer is:
B
The given tube is closed at one end and open at the other.
The fundamental frequency `=upsilon//4l=n` and other haromonics have frequencies `3n,5n,7n` ets.
Now, the highest common frequency of `220Hz` and `260Hz=20Hz.`
This must be the fundamental frequency of the system. The frequency of differrency harmonies would be `20Hz, 60Hz,100 Hz, 140Hz, 180Hz, 220Hz and 260Hz`.
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