MHT CET202016 Oct 2020Evening ShiftPhysicsWaves and SoundActual

An open organ pipe and a closed organ pipe have the frequency of their first overtone identical. The ratio of length of open pipe to that of closed pipe is

Options

A3:4
B1:2
C2:1
D4:3

Correct answer

D. 4:3

Step-by-step solution

(D) ₀ _ c =? array ll For closed pipe & n_ p =n₀(2 p+1) n_ l c =n_ o ³ For open pipe & n_ p =n₀(p+1) n_ l o =n₀² array aligned & n_ 1 c =3 n₀= 3 V 4 _ c & n₁₀=2 n₀= 2 V 2 ₀ & 3 V 4 _ c = 2 V 2 ₀ & ₀ _ c = 4 3 aligned

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