In an open organ pipe ν₃ and ν₆ are 3 rd and 6 th harmonic frequencies, respectively. If ν₆ - ν₃ = 2200 Hz then length of the pipe is ______ mm. (Take velocity of sound in air is 330 m/s.) (a) 200 (b) 225 (c) 275 (d) 250

Answer: (b). Open pipe: νn = nv/2L. ν₆ - ν₃ = 3v/2L = 2200 L = (3 × 330)/(2 × 2200) = 0.225 m = 225 mm So the answer is (b) 225.

In an open organ pipe ν₃ and ν₆ are 3 rd and 6 th harmonic… | JEE Main 2026 (22 Jan, Shift 2)

Q11JEE Main 2026 · 22 JAN · SHIFT 2Medium

Organ Pipes & Resonance Tube

In an open organ pipe $\nu_3$ and $\nu_6$ are $3$ rd and $6$ th harmonic frequencies, respectively. If $\nu_6 - \nu_3 = 2200\text{ Hz}$ then length of the pipe is ______ mm.

(Take velocity of sound in air is $330\text{ m/s}$ .)

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Answer: (b)

Open pipe: $\nu_n = \frac{nv}{2L}$ .
$\nu_6 - \nu_3 = \frac{3v}{2L} = 2200$
$L = \frac{3 \times 330}{2 \times 2200} = 0.225\text{ m} = 225\text{ mm}$
So the answer is (b) 225.

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