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

  • question_answer
    One gram of a radioactive sample of half-life 10 min is sealed in a capsule at time t=0. Amount of sample decayed up to 5 min is

    A)  0.293g

    B)                     0.5g

    C)  0.25g  

    D)         0.707g

    Correct Answer: A

    Solution :

    [a] Use the relation \[N={{N}_{0}}{{e}^{-\lambda t}}\] where the decay constant \[\lambda =(0.693/{{T}_{half}}).\] The half-life period \[{{T}_{half}}\] is given to be 10min. The amount N of radioactive sample remaining at the end of 5 min comes out to be about \[0.707g,\] so that the amount of sample decayed is \[(1-0.707)=0.293g.\]


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