Which of the following statements are true regarding radioactivity

$(I)$ All radioactive elements decay exponentially with time

$(II)$ Half life time of a radioactive element is time required for one half of the radioactive atoms to disintegrate

$(III)$ Age of earth can be determined with the help of radioactive dating

$(IV)$ Half life time of a radioactive element is $50\%$ of its average life periodSelect correct answer using the codes given belowCodes :

  • A

    $I \, and\,II$

  • B

    $I, III \, and\,IV$

  • C

    $I, II \, and\,III$

  • D

    $II \, and\,III$

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