QJEEM24Ph9e91: JEE Main 2024 Physics - Class 11 JEEM24Ph9e91 Solution: A closed and an open organ pipe have same lengths. If the ratio …

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QJEEM24Ph9e91: JEE Main 2024 Physics - Class 11 JEEM24Ph9e91 Solution: A closed and an open organ pipe have same lengths. If the ratio …

A closed and an open organ pipe have same lengths. If the ratio of frequencies of their seventh overtones is $(\frac{a - 1}{a})$ then the value of $a$ is _________.

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$\begin{aligned} f_{o} = \frac{v}{2 I} \Rightarrow f_{o_{7}} = 8 \frac{v}{2 l} \\ f_{c} = \frac{v}{4 I} \Rightarrow f_{c_{7}} = 15 \frac{v}{4 I} \\ \frac{f_{c_{7}}}{f_{o_{7}}} = 15 \frac{v}{4 I} \frac{2 l}{8 v} = \frac{30}{32} = \frac{15}{16} \end{aligned}$

QJEEM24Ph9e91: JEE Main 2024 Physics - Class 11 JEEM24Ph9e91 Solution: A closed and an open organ pipe have same lengths. If the ratio …

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