A radioactive sample is $\alpha$-emitter with half life $138.6$ days is observed by a student to have $2000$ disintegration/sec. The number of radioactive nuclei for given activity are

  • A

    $3.45 × 10^{10}$

  • B

    $1 ×10^{10}$

  • C

    $3.45 × 10^{15}$

  • D

    $2.75 × 10^{11}$

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