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TS EAMCET · Physics · Waves and Sound

The air columns in two tubes closed at one end vibrating in their fundamental modes produce 2 beats per second. The number of beats produced per second when the same tubes are vibrated in their fundamental mode with their both ends open are

  1. A \(1\)
  2. B \(2\)
  3. C \(3\)
  4. D \(4\)
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Answer & Solution

Correct Answer

(D) \(4\)

Step-by-step Solution

Detailed explanation

\(f_{closed} = \frac{v}{4L}\) \(\left| \frac{v}{4L_1} - \frac{v}{4L_2} \right| = 2\) \(f_{open} = \frac{v}{2L}\) \(\left| \frac{v}{2L_1} - \frac{v}{2L_2} \right| = 2 \times \left| \frac{v}{4L_1} - \frac{v}{4L_2} \right| = 2 \times 2 = 4\)
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