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Two open organ pipes of fundamental freq...

Two open organ pipes of fundamental frequencies `n_(1) and n_(2)` are joined in series. The fundamental frequency of the new pipes so obtained will be

A

`(n_1 + n_2)`

B

`(n_1 + n_2)/2`

C

`sqrt(n_1^2 + n_2^2)`

D

`(n_1n_2)/(n_1 + n_2)`

Text Solution

Verified by Experts

The correct Answer is:
D

Open organ pipe
`n = v/(2l) implies l = (v)/(2n)`

`l_1 = v/(2n_1) " " l_2 = v/(2n_2)`
`l = l_1 = l_2`
`v/(2n) = v/(2n_1) + v/(2n_2)`
`n = (n_1 n_2)/(n_1 + n_2)`
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