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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:
B
Let the tubes A and B have equal length L. Since, tube A is open at both the ends, its fundamental frequency is `upsilon_(A)=(v)/(2L)" "...(i)`
since, tube B is closed at one end, its fundamental frequency is `upsilon_(B)=(v)/(4L)" "…(ii)`
Divide (i) by (ii), we get
`(upsilon_(A))/(upsilon_(B))=(v//2L)/(v//4L)=(4)/(2)=2:1`
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