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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

13.2 cm

B

8 cm

C

12.5 cm

D

16 cm

Text Solution

Verified by Experts

The correct Answer is:
A
`f_("open")=3f_("closed")`
`(v)/(2l_("open"))=(3v)/(4l_("closed"))`
`l_("open")=(2)/(3)xxl_("closed")=(2)/(3)xx20=13.3cm`.
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