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MHT CET 2023 (10 May, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2023 (10 May, Shift 2)

Q70MHT CET 2023 · 10 MAY · SHIFT 2Medium

Organ Pipes & Resonance Tube

The fundamental frequency of air column in pipe 'A' closed at one end is in unison with second overtone of an air column in pipe 'B' open at both ends. The ratio of length of air column in pipe ' $A$ ' to that of air column in pipe ' $B$ ' is

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Answer: (a)

Pipe A (closed) fundamental: $\frac{v}{4L_A}$ ; pipe B (open) second overtone: $\frac{3v}{2L_B}$ .
$\frac{v}{4L_A} = \frac{3v}{2L_B} \Rightarrow 12L_A = 2L_B \Rightarrow L_A : L_B = 1 : 6$
So the answer is (a) $1:6$ .

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