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An air column in a pipe, when is closed ...

An air column in a pipe, when is closed at one end, is in resonance with a vibrating tuning fork of frequency `264 H_(Z)`. If `upsilon = 330 m//s`, the length of the column in cm is (are)

A

`31.25`

B

`62.50`

C

`93.75`

D

`125`

Text Solution

Verified by Experts

The correct Answer is:
A, C
`:. f = n ((nu)/(4l))` `(n= 1,3,5…)`
`:. l = (n nu)/(4 f) = n ((330 )/(4 xx 264))`
`= (0.3125 n) m`
`= (31.25n) cm`
Now, keep on subsituting `n = 1`,`3`, etc.
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