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Explain the modes of vibration of an air column in an open pipe . |
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Answer» Solution :Modes of vibratioin of an AIR COLUMN in an open pipe `:` (1) For a open pipe both the ends are open. So antinodes will be formed at both the ends. But two antinodes cannot exist without a node between them. (2) The possible harmonics in vibrating air column of a open pipe is given by `v = ( n v)/( 2l)` Where n =1,2,3, (`1^(st)`HARMONIC or fundamental frequence ) (3) In first normal Mode of vibrating air column in a open pipe`v_(1) =( v)/( 2l) =v ` (4) In second normal Mode of vibrating air column in a openpipe,`v_(2) = (2v)/(2l)= 2v ` (5) In third, normal Mode of vibrating air column in a open pipe, `v_(3)=( 3v)/(2l) =3v ` (6) In open pipe the ratio of frequencies of harmonics is `v_(1): v_(2) : v_(3) =v,2v: 3v= 1:2:3` 
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