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

  • question_answer
    The activity of a sample is 64 × 10?5 Ci. Its half-life is 3 days. The activity will become 5 × 10?6 Ci after          [MP PET 2003]

    A)            12 days                                   

    B)            7 days

    C)            18 days                                   

    D)            21 days

    Correct Answer: D

    Solution :

                       \[A={{A}_{0}}{{\left( \frac{1}{2} \right)}^{t/{{T}_{1/2}}}}\Rightarrow 5\times {{10}^{-6}}=64\times {{10}^{-5}}{{\left( \frac{1}{2} \right)}^{t/3}}\] \[\Rightarrow \frac{1}{128}={{\left( \frac{1}{2} \right)}^{t/3}}\Rightarrow t=21\] days


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