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TS EAMCET · Physics · Waves and Sound

A source of frequency \(340 \mathrm{~Hz}\) is kept above a vertical cylindrical tube closed at lower end. The length of the tube is \(120 \mathrm{~cm}\). Water is slowly powred in just enough to produce resonance. Then, the minimum height (velocity of sownd \(=340 \mathrm{~m} / \mathrm{s}\) ) of the water level in the tube for that resonance is

  1. A \(0.75 \mathrm{~m}\)
  2. B \(0.25 \mathrm{~m}\)
  3. C \(0.95 \mathrm{~m}\)
  4. D \(0.45 \mathrm{~m}\)
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Answer & Solution

Correct Answer

(D) \(0.45 \mathrm{~m}\)

Step-by-step Solution

Detailed explanation

The frequency of source, \(f_s=340 \mathrm{~Hz}\) Velocity of sound \(=340 \mathrm{~m} / \mathrm{s}\) Length of the tube \(=120 \mathrm{~cm}\) The minimum height of the tube for resonance, \(l_1=\frac{v}{4 f}\)…
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