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

  • question_answer
    The half-life of polonium is 140 days. After how many days, 16 gm polonium will be reduced to 1 gm  (or 15g will decay)                                                      [CPMT 1997; Pb. PET 2002; BHU 2004]

    A)            700 days                                

    B)            280 days                                

    C)            560 days                                

    D)            420 days

    Correct Answer: C

    Solution :

               \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{t/140}}\Rightarrow \frac{1}{16}={{\left( \frac{1}{2} \right)}^{t/140}}.\] \[\Rightarrow \frac{t}{140}=4\Rightarrow t=560\ days\]


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