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KCET2026PhysicsWaves and Sound

A source of frequency gives 6 beats/second when sounded with a source of frequency 200 Hz. The second Harmonic of frequency 2 of the source gives 8 beats/second when sounded with a source of frequency 420 Hz. The value of is

Options

  1. A205 Hz
  2. B206 Hz
  3. C195 Hz
  4. D210 Hz

Correct answer

B. 206 Hz

Step-by-step solution

Given that the source of frequency gives 6 beats/second with a source of 200 Hz: = 200 6 = 206 Hz or 194 Hz The second harmonic of the source has a frequency of 2 . It gives 8 beats/second with a source of 420 Hz: 2 = 420 8 2 = 428 Hz or 412 Hz = 214 Hz or 206 Hz The common value satisfying both conditions is = 206 Hz. Answer: 206 Hz

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