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The second overtone of an open organ pip...

The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe L meter long. The length of the open pipe will be

A

`L/2m`

B

`4Lm`

C

`Lm`

D

2L m

Text Solution

Verified by Experts

The correct Answer is:
D
(i) For open pipe of length L. second overtone `=(3v)/(2L.)`
(ii) For closed pipe of length L first overtone `= (3v)/(4L)`
As per the statement, `(3v)/(2L.) = (3v)/(4L)`
`therefore L. = 2L`
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