The second overtone of an open pipe is in resonance with the first overtone

The Second Overtone Of An Open Pipe Is In Resonance Physics QuestionThe Second Overtone Of An Open Pipe Is In Resonance Physics Question

The second overtone of an open pipe is in resonance with the first overtone of a closed pipe of length 2 m. Length of the open pipe is

Options

(a) 4 m
(b) 2 m
(c) 8 m
(d) 1 m

Correct Answer:

4 m

Explanation:

Frequency of second overtone of an open is ʋ = 3v / 2l₀ Frequency of first overtone of a closed pipe is ʋ’ = 3v / 4lc Given : ʋ = ʋ’ ⇒ 3v / 2l₀ = 3v / 4lc l₀ / lc = 2 ⇒ l₀ = 2lc = 2 × 2 = 4 m.

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