Calculate the Ratio of Lengths of Their Air Columns - Physics

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The fundamental frequency of an air column in a pipe closed at one end is in unison with the third overtone of an open pipe. Calculate the ratio of lengths of their air columns

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Given that n3 = no
where n3 = frequency of the third overtone of the open pipe
no = fundamental frequency of the closed pipe

Third overtone of open pipe is


Fundamental frequency of closed pipe at one end is


`V/(4L_o)=4(V/(2L_3)) `..........(∵ no=n3)


`therefore L_0:L_3=1:8`

Concept: Study of Vibrations of Air Columns
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2015-2016 (March)



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