Nuclear Physics And Radioactivity Question 84

Question: 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

Options:

A) $ \frac{\alpha }{\lambda } $

B) $ N_{0}+\frac{\alpha }{\lambda } $

C) N0

D) $ \frac{\lambda }{\alpha }+N_{0} $

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Answer:

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 } $