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The 4^(th) overtone of an open organ pip...

The `4^(th)` overtone of an open organ pipe resonates with the first overtone of semi-open organ pipe. The ration of the length of the open pipe to the semi-open pipe is

A

`5 : 3`

B

`4 : 1`

C

`10 : 3`

D

none of thses

Text Solution

AI Generated Solution

To solve the problem, we need to find the ratio of the lengths of an open organ pipe (L1) and a semi-open organ pipe (L2) based on the given conditions regarding their overtones. ### Step-by-Step Solution: 1. **Understand the Frequencies of the Pipes:** - For an open organ pipe, the frequency of the nth overtone is given by: \[ f = n \cdot \frac{V}{2L} ...
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