A tuning fork whose frequency as given by manufacturer is $512 Hz$ is being tested with an accurate oscillator. It is found that the fork produces a beat of $2 Hz$ when oscillator reads $514 Hz$ but produces a beat of $6 Hz$ when oscillator reads $510 Hz$. The actual frequency of fork is ..... $Hz$
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(c) The tuning fork whose frequency is being tested produces $2$ beats with oscillator at $514 Hz,$ therefore, frequency of tuning fork may either be $512$ or $516.$
With oscillator frequency $510$ it gives $6$ beats/sec, therefore frequency of tuning fork may be either $516$ or $504.$
Therefore, the actual frequency is $516 Hz$ which gives $2$ beats/sec with $514 Hz$ and $6 $ beats/sec with $510 Hz.$
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