JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Topic Test - Nuclear Physics and 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

    A) Less than 1 mg

    B) \[\frac{1}{4}gm\]

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

    D) 1 gm

    Correct Answer: A

    Solution :

    [a] 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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