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

  • question_answer
    In a sample of radioactive material, what fraction of the initial number of active nuclei will remain undisintegrated after half of a half-life of the sample         [Kerala PMT 2005]

    A)            \[\frac{1}{4}\]                      

    B)            \[\frac{1}{2\sqrt{2}}\]

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

    D)            \[2\sqrt{2}\]

    Correct Answer: C

    Solution :

               \[\therefore \,\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}{{\left( \frac{1}{2} \right)}^{1/2}}=\frac{1}{\sqrt{2}}\].


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