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AP EAMCET · PHYSICS · Waves and Sound

At a temperature of \(27^{\circ} \mathrm{C}\), two identical organ pipes produce notes of frequency \(140 \mathrm{~Hz}\). If the temperature of one pipe is raised to \(57.75^{\circ} \mathrm{C}\), then the number of beats produced per second is

  1. A 7
  2. B 5
  3. C 3
  4. D 9
Verified Solution

Answer & Solution

Correct Answer

(A) 7

Step-by-step Solution

Detailed explanation

Here, \(n_0=140 \mathrm{~Hz}, T_0=27^{\circ} \mathrm{C}=300 \mathrm{~K}\) and \[ T_2=57.75^{\circ} \mathrm{C}=330.75 \mathrm{~K} \] The variation of speed of sound with temperature, \[ \frac{v_t}{v_0}=\sqrt{\frac{T}{T_0}} \] Let \(v_0=\) speed of sound at the room temperature.…