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A closed organ pipe of length L and an o...

A closed organ pipe of length `L` and an open organ pipe contain gass of densities `rho_(1)` and `rho_(2)`, respectively. The compressibility of gass are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency . The length of the open orange pipe is

A

`(L)/(3)'

B

`(4L)/(3)`

C

`(4L)/(3) sqrt((rho_(1))/(rho_(2)))`

D

`(4L)/(3) sqrt((rho_(2))/(rho_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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