An open and a closed organ pipe are of same l | vedclass

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(C) For an open organ pipe,the frequency of the $n^{th}$ mode of vibration is given by $(v_{n})_{o} = \frac{nv}{2l}$,where $v$ is the speed of sound a

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$\frac{2n}{2n - 1}$

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(C) For an open organ pipe,the frequency of the $n^{th}$ mode of vibration is given by $(v_{n})_{o} = \frac{nv}{2l}$,where $v$ is the speed of sound and $l$ is the length of the pipe.For a closed organ pipe,the frequency of the $n^{th}$ mode of vibration is given by $(v_{n})_{c} = (2n - 1) \frac{v}{4l}$.To find the ratio of the frequency of the $n^{th}$ mode of the open pipe to that of the closed pipe,we divide the two expressions:$\frac{(v_{n})_{o}}{(v_{n})_{c}} = \frac{\frac{nv}{2l}}{(2n - 1) \frac{v}{4l}}$$\frac{(v_{n})_{o}}{(v_{n})_{c}} = \frac{nv}{2l} 	imes \frac{4l}{(2n - 1)v}$$\frac{(v_{n})_{o}}{(v_{n})_{c}} = \frac{2n}{2n - 1}$

An open and a closed organ pipe are of same length. The ratio of the frequency of the $n^{th}$ mode of vibration of the two pipes is

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