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

  • question_answer
    A radioactive material has an initial amount 16 gm. After 120 days it reduces to 1 gm, then the half-life of radioactive material is                                                                         [CPMT 2003]

    A)            60 days                                   

    B)            30 days

    C)            40 days                                   

    D)            240 days

    Correct Answer: B

    Solution :

                       \[\frac{N}{{{N}_{0}}}={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow \left( \frac{1}{16} \right)={{\left( \frac{1}{2} \right)}^{n}}\Rightarrow n=4\] also \[n=\frac{t}{{{T}_{1/2}}}\Rightarrow {{T}_{1/2}}=\frac{120}{4}=30\ days\]


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