Q. The decay constant of a radioactive sample is $\lambda.$The half-life and mean life of the sample are respectively given by
A) $\frac{1}{\lambda}\ and\frac{\log_{e}2}{\lambda}$
B) $\frac{\log_{e}2}{\lambda}and\frac{1}{\lambda}$
C) $\lambda(\log_{e}{2)\ and\ \frac{1}{\lambda}}$
D) $\frac{\lambda}{\log_{e}2}\ and\frac{1}{\lambda}$
Explanation
(b) $T_{h} = \frac{\log_{e}^{2}\ }{\lambda},\tau_{m} = \frac{1}{\lambda}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.