Two tuning forks $A$ and $B$ produce $8\, beats/s$ when sounded together. $A$ gas column $37.5\, cm$ long in a pipe closed at one end resonate to its fundamental mode  with fork $A$ whereas a column of length $38.5 \, cm$ of the same gas in a similar pipe  is required for resonance with fork $B$. The frequencies of these two tuning forks, are

  • A

    $308 \,Hz, 300 \,Hz$

  • B

    $208 \,Hz, 200 \,Hz$

  • C

    $300 \,Hz, 400 \,Hz$

  • D

    $350 \,Hz, 500 \,Hz$

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