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

  • question_answer
    A radioactive element decays to \[\frac{1}{4}\]th of its initial value in time t. The ratio of its half-life to mean life is

    A)  \[\frac{\ln 2}{{{\lambda }^{2}}}\]

    B)  \[\frac{\ln 2}{\lambda }\]

    C)  \[2\ln 2\]

    D)  \[\ln 2\]

    Correct Answer: D

    Solution :

    [d] Half-life, \[{{t}_{1/2}}=\frac{In\,2}{\lambda }\] Mean life, \[\tau =\frac{1}{\lambda }\,\,\,\,\,\,\,\,\,\,\,\therefore \,\,\,\frac{{{t}_{1/2}}}{\tau }=In\,\,2.\]


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