Mean Life

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The mean life of a radioactive substance is related to its half-life T₁/₂ as:

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1. **Mean Life Definition**: $	au = \frac{1}{\lambda}$, where $\lambda$ is the decay constant.
2. **Half-Life Definition**: $T_{1/2} = \frac{\ln 2}{\lambda}$.
3. **Relate the Two**:
   - Rearrange half-life: $\lambda = \frac{\ln 2}{T_{1/2}}$.
   - Substitute into mean life: $	au = \frac{1}{(\ln 2 / T_{1/2})}$.
4. **Final Result**: $	au = \frac{T_{1/2}}{\ln 2} \approx 1.44 T_{1/2}$.

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Mean Life

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