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The second overtone of an open organ pip...

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe `L` metre long. The length of the open pipe will be

A

L

B

2L

C

`L//2`

D

4L

Text Solution

Verified by Experts

Second overtone of an open organ pipe
= Third harmonic = `3xxupsilon._(0)=3xx(v)/(2L.)`
First overtone of a closed organ pipe
= Third harmonic `=3xxupsilon_(0)=3xx(v)/(4L)`
According to question,
`3upsilon._(0)=3upsilon_(0)implies3xx(v)/(2L.)=3xx(v)/(4L)impliesL.=2L`
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