When an air column in a pipe open at both end | vedclass

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(B) In an open pipe of length $L$,the condition for standing waves is $L = n \frac{\lambda}{2}$,where $n$ is the number of loops (or harmonics). For a

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second overtone

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(B) In an open pipe of length $L$,the condition for standing waves is $L = n \frac{\lambda}{2}$,where $n$ is the number of loops (or harmonics). For a pipe open at both ends,antinodes are always formed at the open ends. If there are $4$ antinodes and $3$ nodes,the number of loops formed is $n = 3$. The length of the pipe is $L = 3 \frac{\lambda}{2}$. This corresponds to the $3^{rd}$ harmonic. The sequence of harmonics for an open pipe is $f_1, 2f_1, 3f_1, \dots$ (fundamental,$1^{st}$ overtone,$2^{nd}$ overtone,$\dots$). Since $3f_1$ is the $3^{rd}$ harmonic,it is the $2^{nd}$ overtone.

When an air column in a pipe open at both ends vibrates such that four antinodes and three nodes are formed,then the corresponding mode of vibration is

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