$41$ tuning forks are arranged in increasing order of frequency such that each produces $5 \text{ beats/second}$ with the next tuning fork. If the frequency of the last tuning fork is double that of the frequency of the first fork,then the frequency of the first and last fork is:

  • A
    $400, 200 \text{ Hz}$
  • B
    $200, 400 \text{ Hz}$
  • C
    $100, 200 \text{ Hz}$
  • D
    $205, 410 \text{ Hz}$

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