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An open organ pipe and a closed organ pi...

An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. What is the ratio of their lengths ?

A

`1/2`

B

`4/3`

C

`3/4`

D

`1`

Text Solution

Verified by Experts

The correct Answer is:
C
For open pipe, frequency of I overtone, `v_(1)=1/L_(1)sqrtgammaP//P` For closed organ pipe, frequency of I overtone, `v_(2)=3/(4L_(2))sqrtgammaP//P`
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