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

  • question_answer
    The radioactivity of a certain radioactive element drops to 1/64 of its initial value in 30 seconds. Its half-life is [CPMT 1990, 97]

    A)            2 seconds                              

    B)            4 seconds

    C)            5 seconds                              

    D)            6 seconds

    Correct Answer: C

    Solution :

               \[N={{N}_{0}}{{\left( \frac{1}{2} \right)}^{t/T}}\Rightarrow \frac{{{N}_{0}}}{64}={{N}_{0}}{{\left( \frac{1}{2} \right)}^{30/T}}\]\[\Rightarrow T=\frac{30}{6}=5\sec \]


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