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NEET 2014 (AIPMT) · Organ Pipes & Resonance Tube

Organ Pipes & Resonance Tube question from NEET 2014 (AIPMT)

Q114NEET 2014 · AIPMTMedium

Organ Pipes & Resonance Tube

The number of possible natural oscillations of air column in a pipe closed at one end length 85 cm whose frequencies lie below 1250 Hz are (Velocity of sound = 340 m s−1{}^{-1})

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Answer: (d)

  1. Fundamental: f0=v4L=3404×0.85=100 Hzf_0 = \frac{v}{4L} = \frac{340}{4 \times 0.85} = 100\text{ Hz}.
  2. Allowed frequencies (odd harmonics): 100,300,500,700,900,1100,1300,…100, 300, 500, 700, 900, 1100, 1300, \dots
  3. Below 1250 Hz1250\text{ Hz}: 100100 to 11001100, i.e. 6 modes.
  4. So the answer is (d) 6.
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