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

  • question_answer
    The half-life of a radioactive substance is 3.6 days. How much of 20 mg of this radioactive substance will remain after 36 days                                                             [Pb. PMT 2003]

    A)            0.0019 mg                             

    B)            1.019 mg

    C)            1.109 mg                                

    D)            0.019 mg

    Correct Answer: D

    Solution :

               \[M={{M}_{0}}{{\left( \frac{1}{2} \right)}^{\frac{t}{{{T}_{1/2}}}}}\]\[=20\times {{\left( \frac{1}{2} \right)}^{\frac{3.6}{3.6}}}\]\[=20\times {{\left( \frac{1}{2} \right)}^{10}}=0.019\,mg\]


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