A) \[\frac{n}{N}\text{second}\]
B) \[\frac{N}{n}\text{second}\]
C) \[\frac{0.693n}{n}\text{second}\]
D) \[\frac{0.693n}{N}\text{second}\]
Correct Answer: C
Solution :
\[\frac{dN}{dt}=-\lambda N\] \[\Rightarrow \] \[n=-\lambda N\left( Given\frac{dN}{dt}=n \right)\] \[\Rightarrow \] \[\lambda =-\frac{n}{N}\] \[\therefore \] \[Half-life=\frac{0.693}{\lambda }=\frac{0.693N}{n}\]second
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