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

  • question_answer
    The half-life of radon is 3.8 days. Three forth of a radon sample decay in

    A)            5.02 days                               

    B)            15.2 days

    C)            7.6 days                                 

    D)            11.4 days

    Correct Answer: C

    Solution :

                       Decayed fraction \[=\frac{3}{4}\], so undecayed fraction \[=\frac{1}{4}\]                    Now \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow \frac{1}{4}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow n=2\]            Þ \[t=n\times {{T}_{1/2}}=2\times 3.8=7.6\ days\]


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