An air column in a closed organ pipe vibratin | vedclass

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(B) In a closed organ pipe,the fundamental frequency is $f_1 = \frac{v}{4L}$.The frequencies of the overtones are given by $f_n = (2n-1)f_1$,where $n$

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three nodes and three antinodes.

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(B) In a closed organ pipe,the fundamental frequency is $f_1 = \frac{v}{4L}$.The frequencies of the overtones are given by $f_n = (2n-1)f_1$,where $n$ is the harmonic number.The first overtone is the $3^{	ext{rd}}$ harmonic $(n=2)$,and the second overtone is the $5^{	ext{th}}$ harmonic $(n=3)$.For the $n^{	ext{th}}$ harmonic in a closed pipe,the number of nodes is $n$ and the number of antinodes is $n$.Since the second overtone corresponds to the $5^{	ext{th}}$ harmonic ($n=3$ in the overtone sequence,but it is the $3^{	ext{rd}}$ mode of vibration),we look at the mode $n=3$.In the $3^{	ext{rd}}$ mode of vibration for a closed pipe,there are $3$ nodes and $3$ antinodes.

An air column in a closed organ pipe vibrating in unison with a tuning fork produces the second overtone. The vibrating air column has:

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