An accurate and reliable audio oscillator is used to standardise a tuning fork. When the oscillator reading…

An accurate and reliable audio oscillator is used to standardise a tuning fork. When the oscillator reading is $514\text{Hz}$, two beats are heard per second. When the oscillator reading is $510\text{Hz}$, the beat frequency is $6\text{ Hz}$. The frequency of the tuning fork (in Hz) is
  1. 506
  2. 510
  3. 516
  4. 512

Solution

With frequency $514\text{ Hz}$, two beats are heard. Therefore, frequency of tuning fork can be either $512\text{ Hz}$ or $516\text{ Hz}$. With $510\text{ Hz}$, it gives beats of frequency $6\text{ Hz}$. Hence, frequency of tuning fork is $516\text{ Hz}$.

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