CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    A radioactive nucleus is being produced at a constant rate a per second. Its decay constant is \[\lambda \]. If \[{{N}_{0}}\]is the number of nuclei at time t = 0, then maximum number of nuclei possible are

    A)  \[{{N}_{0}}\]                                    

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

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

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

    Correct Answer: C

    Solution :

                    Maximum number of nuclei will be present when rate of decay = rate of formation. i.e.,        \[\lambda \,N=\alpha \] or            \[N=\frac{\alpha }{\lambda }\]


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