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Concepts Of Physics MCQ Edition [Volume 1]PhysicsSound Waves

A sound source with an adjustable frequency generates 2 beats per second with a tuning fork when its frequency is set to either 476 Hz or 480 Hz . Determine the frequency of the tuning fork.

Options

  1. A478 Hz
  2. B474 Hz
  3. C482 Hz
  4. D476 Hz

Correct answer

A. 478 Hz

Step-by-step solution

Let the frequency of the tuning fork be f . The beat frequency is the absolute difference between the frequencies of the two sound sources. Given that the beat frequency is 2 Hz when the source frequency is 476 Hz : |f - 476| = 2 f = 474 Hz or 478 Hz Also, the beat frequency is 2 Hz when the source frequency is 480 Hz : |f - 480| = 2 f = 478 Hz or 482 Hz The common value satisfying both conditions is f = 478 Hz .

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