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

  • question_answer
    3.8 days is the half-life period of a sample. After how many days, the sample will become 1/8th of the original substance                                                                                                 [DCE 1999]

    A)            11.4                                          

    B)            3.8

    C)            3    

    D)            None of these

    Correct Answer: A

    Solution :

                       \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow \frac{1}{8}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow n=3\] Now \[t=n\times {{T}_{1/2}}=3\times 3.8=11.4\ days\]


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