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The second overtone of an open pipe has ...

The second overtone of an open pipe has the same frequency as the first overtone of a closed pipe 2 m long. The length of the open pipe is

A

`L/2`

B

`4L`

C

`L`

D

`2L`

Text Solution

Verified by Experts

The correct Answer is:
D
For second overtone (`3^(rd)` harmonic) in open organ pipe
`(3 lambda)/(2) = l_0 implies lambda = (2l_0)/(3)`
For first overtone (3rd harmonic) in closed organ pipe,
`(3 lambda)/(2) = l_c implies lambda = (3 l_c)/(3) = (4L)/3`
So, `(2l_0) = (4L)/3 implies lambda_0 = 2L`
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