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

  • question_answer
    A radioactive nucleus is being produced at a constant rate a per second. Its decay constant is l. If N0 are the number of nuclei at time t = 0, then maximum number of nuclei possible are

    A)            \[\frac{\alpha }{\lambda }\]  

    B)            \[{{N}_{0}}+\frac{\alpha }{\lambda }\]

    C)            N0  

    D)            \[\frac{\lambda }{\alpha }+{{N}_{0}}\]

    Correct Answer: A

    Solution :

               Maximum number of nuclei will be present when rate of decay = rate of formation  Þ \[\lambda N=\alpha \] Þ \[N=\frac{\alpha }{\lambda }\]


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