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

  • question_answer
    In a sample of radioactive material, what percentage of the initial number of active nuclei will decay during one mean life                                                                                               [KCET 2002]

    A)            69.3%                                      

    B)            63%

    C)            50%                                          

    D)            37%

    Correct Answer: B

    Solution :

                       Number of atoms remains undecayed \[N={{N}_{0}}{{e}^{-\lambda t}}\] Number of atoms decayed = \[{{N}_{0}}(1-{{e}^{-\lambda t}})\] \[=\,{{N}_{0}}\,\left( 1-{{e}^{-\lambda \times \frac{1}{\lambda }}} \right)={{N}_{0}}\left( 1-\frac{1}{e} \right)\]\[=0.63\,{{N}_{0}}=63%\] of N0 .


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