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TS EAMCET · Physics · Waves and Sound

The displacement equations of sound waves produced by two sources are given by \(y_1=5 \sin 400 \pi t\) and \(y_2=\) \(8 \sin 408 \pi t\), where ' \(t\) ' is time in seconds. If the waves are produced simultaneously, the number of beats produced per minute is

  1. A 4
  2. B 8
  3. C 120
  4. D 240
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Answer & Solution

Correct Answer

(D) 240

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \text { (d) } \mathrm{y}_1=5 \sin 400 \pi \mathrm{t}, \mathrm{y}_2=8 \sin 408 \pi \mathrm{t} \\ & \therefore \quad \omega_1=400 \mathrm{p}, \omega_2=408 \pi \end{aligned}\) \(\therefore \quad\) Number of beats per minute is…