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

  • question_answer
    A radioactive substance has a half-life of 1 year. The fraction of this material, that would remain after 5 years will be  [CPMT 2000]

    A)            \[\frac{1}{32}\]                   

    B)            \[\frac{1}{5}\]

    C)            \[\frac{1}{2}\]                      

    D)            \[\frac{4}{5}\]

    Correct Answer: A

    Solution :

                       Number of half lives \[n=\frac{5}{1}=5\]            Now \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow \frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{5}}=\frac{1}{32}\]


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