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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

8 cm

C

13.2 cm

D

16 cm

Text Solution

Verified by Experts

The correct Answer is:
C
For closed organ pipe, third harmonic `=(3v)/(4l)`
For open organ pipe, fundamental frequency `=(v)/(2l')`
given, `(3v)/(4l)=(v)/(2l')`
`implies l'=(4l)/(3xx2)=(2l)/(3)`
`=(2xx20)/(3)=13.33` cm
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