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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

(A) 8m

B

(B) 4m

C

(C) 2m

D

(D) 1m

Text Solution

Verified by Experts

The correct Answer is:
B
For open pipe,
For closed pipe,
`3f._(1) = (3v)/(4L.)=` frequency of first overtone
Here, ` (3v)/(2L)= (3v)/(2L) = (3v)/(4L.)`
`therefore L = 2L. = 2 xx 2 =4m`
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