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

  • question_answer
    Certain radio-active substance reduces to 25% of its value in 16 days. Its half-life is                                           [MP PMT 2001]

    A)            32 days                                   

    B)            8 days

    C)            64 days                                   

    D)            28 days

    Correct Answer: D

    Solution :

               \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{T}}}\Rightarrow \frac{{{N}_{0}}}{4}={{N}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{16}{T}}}\]\[\Rightarrow T=8\]days.


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