Question

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`

Answer 1

Correct Answer - 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.