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  • The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 60 cm. The length of the open organ pipe</

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is 60 cm. The length of the open organ pipe

Option: 1

245 cm


Option: 2

250 cm


Option: 3

255 cm


Option: 4

240 cm


Answers (1)

\begin{aligned} & \text { open }-f_0=\frac{2 V}{2 l_0} \\ & \text { closed }-f_c=\frac{V}{4 l c} \\ & f_0=f_c \\ & \frac{2 V}{2 l_0}=\frac{V}{4 l c} \\ & l_0=4 l_c \\ & l_0=4 \times 60 \\ & l_0=240 \mathrm{~cm} \end{aligned}

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Kshitij

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