Question
A radioactive nucleus is being produced at a constant rate $\alpha$ per second. Its decay constant is $\lambda $. If $N_0$ are the number of nuclei at time $t = 0$, then maximum number of nuclei possible are

Answer

(a) Maximum number of nuclei will be present when rate of decay = rate of formation

==> $\lambda N = \alpha $

==> $N = \frac{\alpha }{\lambda }$

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