Question

The ratio of the frequency of the fundamental notes produced by an open pipe
and a closed pipe of the same length is :

(A) 1:2
(1) 2:1
(C) 2:3
(D) 1:3
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Answer 1

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A pipe open at both ends produces the same fundamental as a pipe closed at both ends. A pipe open at one end produces a note at half the frequency of the other two, for the same length of pipe.

(A) 1:2✔️

(1) 2:1

(C) 2:3

(D) 1:3

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Answer 2

Answer:

(B) 2:1

Explanation: Let L be a length of the pipe,

The fundamental frequency of closed pipe is = v/4L

where ν is the speed of sound in air.

Fundamental frequency of open pipe of same length= v/2L

Hence, Vo/Vc = 2 : 1