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JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    Two radioactive materials A and B have decay constant \[\frac{13}{7}\] units and \[\frac{19}{14}\] units respectively. Directly both have the same number of nuclei. The time (in same system of units), after which the ratio of their remaining nuclei will be 1/e is

    A)  2  

    B)  3    

    C)  4

    D)  5

    Correct Answer: A

    Solution :

    [a] \[\frac{{{N}_{1}}}{{{N}_{2}}}={{e}^{\left( {{\lambda }_{2}}-{{\lambda }_{1}} \right)}}=\frac{1}{e}\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,t=\frac{1}{{{\lambda }_{2}}-{{\lambda }_{1}}}=2\]


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