JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Topic Test - Nuclear Physics and Radioactivity

  • question_answer
    99% of a radioactive element will decay between

    A) 6 and 7 half lives

    B) 7 and 8 half lives

    C) 8 and 9 half lives

    D) 9 half lives

    Correct Answer: A

    Solution :

    [a] \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{n}}\Rightarrow \frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\]\[\Rightarrow \frac{1}{100}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow {{2}^{n}}=100\] n comes out in between 6 and 7.


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