A radioactive nucleus is being produced at a constant rate \( \alpha \) per second. Its decay co...

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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
(A) \( \frac{\alpha}{\lambda} \)
(B) \( N_{0}+\frac{\alpha}{\lambda} \)
(C) \( N_{0} \)
(D) \( \frac{\lambda}{\alpha}+N_{0} \)
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