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The fimdamental frequency of a closed or...

The fimdamental frequency of a closed organ pipe is equal to second of an open organ pipe is the length of closed organ pipe is 15 cm. The length of open organ pipe is

A

90 cm

B

30 cm

C

15 cm

D

20 cm

Text Solution

Verified by Experts

The correct Answer is:
A
For closed organ pipe `f_(1)=v/(4l_(1))" "["for fundamental"]`
For open organ pipe, `f_(2)=(3v)/(2l_(2))" "["second overlone"]`
`f_(1)=f_(2)thereforev/(4l_(1))=(3v)/(2l_(2))rArr(l_(2))/(l_(1))=6`
`therefore" "l_(2)=6l_(1)=6xx15=90cm`
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