JEE Main & Advanced Physics Nuclear Physics And Radioactivity Question Bank Self Evaluation Test - Nuclei

  • question_answer
    After 150 days, the activity of a radioactive sample is 5000 dps. The activity becomes 2500 dps after another 75 days. The initial activity of the sample is

    A)  20000 dps   

    B)  40000 dps

    C)  7500 dps   

    D)  10000 dps

    Correct Answer: A

    Solution :

    [a] Activity of sample becomes 2500 from 5000 in 75 days therefore its half-life is 75 days, so \[R=\frac{{{R}_{0}}}{{{2}^{\frac{150}{75}}}}=5000\Rightarrow {{R}_{0}}=5000\times 4=20,000\]


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