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

  • question_answer
    A radioactive material has a half-life of 10 days. What fraction of the material would remain after 30 days [AIIMS 2005]

    A)            0.5 

    B)            0.25

    C)            0.125                                       

    D)            0.33

    Correct Answer: C

    Solution :

               \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{{{T}_{1/2}}}}}\]\[\Rightarrow \frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{\frac{30}{10}}}=\frac{1}{8}=0.125\].


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