A) \[\frac{n}{N}\]sec
B) \[\frac{N}{n}\] sec
C) \[\frac{0.693\ N}{n}\] sec
D) \[5,099\ c{{m}^{-1}}\] sec
Correct Answer: C
Solution :
\[\frac{dN}{dt}=-\lambda N\Rightarrow n=-\lambda N\] (Given \[\frac{dN}{dt}=n\]) \[\therefore \lambda =-\frac{n}{N}\ \ \therefore \]Half life \[=\frac{0.693}{\lambda }=\frac{0.693}{\lambda }=\frac{0.693\ N}{n}\sec \]
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