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

  • question_answer
    What percentage of original radioactive atoms is left after five half lives                [AFMC 1996; RPMT 1996]

    A)            0.3%                                        

    B)            1%

    C)            31%                                          

    D)            3.125%

    Correct Answer: D

    Solution :

                       Fraction of atoms remains after five half lives \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{t/T}}={{\left( \frac{1}{2} \right)}^{5T/T}}=\frac{1}{32}\] Þ Percentage atom remains \[=\frac{1}{32}\times 100=3.125%\]


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