The fossil bone has a ${}^{14}C:{}^{12}C$ ratio, which is $\left[ {\frac{1}{{16}}} \right]$ of that in a living animal bone. If the halflife of ${}^{14}C$ is $5730\, years$, then the age of the fossil bone is ..........$years$

  • [AIIMS 2006]
  • A

    $11460$

  • B

    $17190$

  • C

    $22920$

  • D

    $45840$

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