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

  • question_answer
    The half-life of a radioactive substance against a-decay is \[1.2\times {{10}^{7}}s\]. What is the decay rate for \[4\times {{10}^{15}}\] atoms of the substance                                                                      [AMU (Med.) 2002]

    A)            \[4.6\times {{10}^{12}}atoms/s\]                                   

    B)            \[2.3\times {{10}^{11}}atoms/s\]

    C)            \[4.6\times {{10}^{10}}atoms/s\]                                   

    D)            \[2.3\times {{10}^{8}}\]

    Correct Answer: D

    Solution :

                       \[\frac{dN}{dt}=-\lambda N\Rightarrow \left| \frac{dN}{dt} \right|=\frac{0.693}{{{T}_{1/2}}}\times N\] \[=\frac{0.693}{1.2\times {{10}^{7}}}\times 4\times {{10}^{15}}=2.3\times {{10}^{8}}atoms/\sec \]


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