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MHT CET 2026 (13 May, Shift 1) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from MHT CET 2026 (13 May, Shift 1)

Q20MHT CET 2026 · 13 MAY · SHIFT 1Medium

Organ Pipes & Resonance Tube

The fundamental frequency of a closed pipe is 400400 Hz. If 13rd{\frac{1}{3}}^{rd} pipe is filled with water then the frequency of 3rd3^{rd} harmonic of the pipe will be (Neglect end correction)

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Answer: (b)

  1. Closed pipe: n0=v4L=400n_0 = \frac{v}{4L} = 400 Hz.
  2. With 13\frac{1}{3} filled, air column =2L3= \frac{2L}{3}, so new fundamental =400×32=600= 400 \times \frac{3}{2} = 600 Hz.
  3. 3rd harmonic =3×600=1800= 3 \times 600 = 1800 Hz
  4. So the answer is (b) 1800 Hz.
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