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Tube A has both ends open while tube B h...

Tube `A` has both ends open while tube `B` has one closed, otherwise they are identical. The ratio of fundamental frequency of tube `A and B` is

A

`1 : 2`

B

`1 : 4`

C

`2 : 1`

D

`4 : 1`

Text Solution

Verified by Experts

The correct Answer is:
C
The fundamental frequency for an open pipe is
`f=(v)/(lamda)`
`l=(lamda)/(2),lamda=2l`
`f_("open")=(v)/(2l)`
`l=(lamda)/(4)`
`lamda=4l,f_("closed")=(v)/(lamda)=(v)/(4l)`
`(f_("open"))/(f_("closed"))=(f_(A))/(f_(B))=(v)/(2l)xx(4l)/(v)=2:1`
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