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