A radioactive sample $\mathrm{S} 1$ having an activity $5 \mu \mathrm{Ci}$ has twice the number of nuclei as another sample $\mathrm{S} 2$ which has an activity of $10 \mu \mathrm{Ci}$. The half lives of $\mathrm{S} 1$ and $\mathrm{S} 2$ can be

  • [IIT 2008]
  • A

    $20$ years and $5$ years, respectively

  • B

    $20$ years and $10$ years, respectively

  • C

    $10$ years each

  • D

    $5$ years each

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