JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Radioactivity

  • question_answer
     Radon (Ra) decays into Polonium (\[{{P}_{0}}\]) by emitting an \[\alpha -\]particle with half-life of 4 days. A sample contains \[6.4\times {{10}^{10}}\]atoms of\[Rn\]. After 12 days, the number of atoms of \[{{R}_{n}}\]left in the sample will be [MP PET 1999, Pb. PMT 2004]

    A)            \[3.2\times {{10}^{10}}\]

    B)            \[0.53\times {{10}^{10}}\]

    C)            \[2.1\times {{10}^{10}}\]

    D)            \[0.8\times {{10}^{10}}\]

    Correct Answer: D

    Solution :

                       In the given case, 12 days = 3 half lives Number of atoms left after 3 half lives. \[=6.4\times {{10}^{10}}\times \frac{1}{{{2}^{3}}}=0.8\times {{10}^{10}}\]


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