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

  • question_answer
    The half life of \[^{131}I\] is 8 days. Given a sample of \[^{131}I\] at time t = 0, we can assert that  

    A) No nucleus will decay before t = 4 days

    B) No nucleus will decay before t = 8 days

    C) All nuclei will decay before t = 16 days

    D) A given nucleus may decay at any time after t = 0

    Correct Answer: D

    Solution :

    [d] Number of nuclei decreases exponentially
    \[N={{N}_{0}}{{e}^{-\lambda t}}\] and Rate of decay \[\left( -\frac{dN}{dt} \right)=\lambda N\]
    Therefore, decay process losts up to t = ¥.
    Therefore, a given nucleus may decay at any time after t = 0.


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