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AP EAMCET · PHYSICS · Waves and Sound

When the air column of a resonance tube is vibrated together with a tuning fork, 3 beats are heard per second, either the temperature of the air column is \(51^{\circ} \mathrm{C}\) or \(16^{\circ} \mathrm{C}\). The frequency of the tuning fork is

  1. A \(128 \mathrm{~Hz}\)
  2. B \(98 \mathrm{~Hz}\)
  3. C \(105 \mathrm{~Hz}\)
  4. D \(256 \mathrm{~Hz}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(105 \mathrm{~Hz}\)

Step-by-step Solution

Detailed explanation

Number of beats per second when the air column of resonance tube, \(n=3\) If \(n\) be the frequency of tuning fork, Then, \(n \propto \sqrt{T}[T \rightarrow\) temperature \(]\) \(\frac{n_1}{n_2}=\sqrt{\frac{T_1}{T_2}}\) At \(51^{\circ} \mathrm{C}, T_1=273+51=324 \mathrm{~K}\)…