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The fundamental frequency in an open org...

The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is 20 cm, the length of the open organ pipe is

A

`12.5 cm`

B

`16 cm`

C

`8 cm`

D

`13.2 cm`

Text Solution

Verified by Experts

The correct Answer is:
D

`(v)/(2l_(1)) = 3 (v)/(4 l_(2))`
Therefore, `l_(1) = (2)/(3) l_(2) = (40)/(3) ~= 13.2 cm`
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