$A$ tuning fork gives $3$ beats with $50 \ cm$ length of sonometer wire. If the length of the wire is shortened by $1 \ cm$,the number of beats is still the same. The frequency of the fork is (in $Hz$)

  • A
    $256$
  • B
    $288$
  • C
    $297$
  • D
    $320$

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