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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 th

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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 $(	au)$ is defined as the reciprocal of the decay constant.It is given by the formula: $	au = \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 $(log_e 2 = ln 2)$.

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