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A tuning fork of unknown frequency produces 4 beats with tuning fork of frequency 310 ~Hz . It gives the same number of beats on filing. The initial frequency of a tuning fork is

Options

  1. A306 Hz
  2. B620 Hz
  3. C310 Hz
  4. D314 Hz

Correct answer

A. 306 Hz

Step-by-step solution

The unknown fork produces 4 beats with 310 Hz, so its frequency is either 314 Hz or 306 Hz. Filing increases frequency (removes mass). The beat frequency remains 4 after filing. If initial frequency was 314 Hz: filing increases it further difference with 310 Hz increases beats would increase. Contradiction. If initial frequency was 306 Hz: filing increases it toward 314 Hz difference with 310 Hz is again 4 Hz same number of beats. Consistent. Initial frequency = 306 Hz.

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