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JEE Main 2026 (24 Jan, Shift 2) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from JEE Main 2026 (24 Jan, Shift 2)

Q3JEE Main 2026 · 24 JAN · SHIFT 2Easy

Organ Pipes & Resonance Tube

The fifth harmonic of a closed organ pipe is found to be in unison with the first harmonic of an open pipe. The ratio of lengths of closed pipe to that of the open pipe is $5/x$ . The value of $x$ is ______

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Answer: (b)

Fifth harmonic of closed pipe: $\frac{5v}{4L_c}$ . First harmonic of open pipe: $\frac{v}{2L_o}$ .
$\frac{5v}{4L_c}=\frac{v}{2L_o} \Rightarrow \frac{L_c}{L_o}=\frac{5}{2}$
So $x=2$ : answer (b).

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