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

  • question_answer
    A sample contains 16 gm of a radioactive material, the half life of which is two days. After 32 days, the amount of radioactive material left in the sample is  [NCERT 1984; MNR 1995; MP PMT 1995]

    A)            Less than 1 mg                    

    B)            \[\frac{1}{4}gm\]

    C)            \[\frac{1}{2}gm\]               

    D)            1 gm

    Correct Answer: A

    Solution :

                       Remaining amount                     \[=16\times {{\left( \frac{1}{2} \right)}^{32/2}}=16\times {{\left( \frac{1}{2} \right)}^{16}}={{\left( \frac{1}{2} \right)}^{12}}<1\ mg\]


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