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A closed organ pipe and an open organ pi...

A closed organ pipe and an open organ pipe are tuned to the same fundamental frequency. The ratio of their lengths is

A

`1:2`

B

`2:1`

C

`2:3`

D

`4:3`

Text Solution

Verified by Experts

The correct Answer is:
A
Avoiding and correction, the length of close organ pipe is
`l_(2)=(lambda_(1))/4` or `lambda_(1)=4l_(1)`
The length of open organ pipe is
`l_(2)=(lambda_(2))/2` or `lambda_(2)=2l_(2)`
Here, `n_(1)=n_(2)`
`rArr (v_(1))/(lambda_(1))=v/(lambda_(2))`
or `v/(4l_(1))=v/(4l_(2))`
Therefore `l_(1):l_(2)=1:2`
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