1. Tardigrade
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  3. Physics
  4. A tuning fork of frequency 512 Hz is vibrated with a sonometer wire and 6 beats per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

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Q. A tuning fork of frequency $512 \,Hz$ is vibrated with a sonometer wire and $6\, beats$ per second are heard. The beat frequency reduces if the tension in the string is slightly increased. The original frequency of vibration of the string is

Solution:

$\because f_{string} \propto \sqrt{T} ,$ we can conclude from question that
$f_{tunig} - f_{string}=6$
So $f_{string} = 512 - 6 = 560\,Hz$