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(B) The half-life $(T_{1/2})$ of a radioactive substance is defined as the time required for half of the radioactive nuclei to decay. It is given by t

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$\frac{\log_e 2}{\lambda}$ and $\frac{1}{\lambda}$

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(B) The half-life $(T_{1/2})$ of a radioactive substance is defined as the time required for half of the radioactive nuclei to decay. It is given by the formula: $T_{1/2} = \frac{\ln 2}{\lambda} = \frac{\log_e 2}{\lambda}$.The mean life or average life ($T_{av}$ or $	au$) is defined as the sum of the lives of all atoms divided by the total number of atoms. It is given by the formula: $T_{av} = \frac{1}{\lambda}$.Therefore,the half-life and mean life are $\frac{\log_e 2}{\lambda}$ and $\frac{1}{\lambda}$ respectively.

If the decay or disintegration constant of a radioactive substance is $\lambda$,then its half-life and mean life are respectively:

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