vault backup: 2024-08-27 20:19:50
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@ -132,4 +132,8 @@ $N$ is the number of nuclei present. these are functions of time.
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$$ A(t) = \lambda N(t) $$
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$$ A(t) = \lambda N(t) $$
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$$N(t) = N(0) e^{-\lambda t}$$
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$$N(t) = N(0) e^{-\lambda t}$$
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Half life is a derivative of activity:
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Half life is a derivative of activity:
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$$ t_{1/2} = \frac{0.693}{\lambda}$$
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$$ t_{1/2} = \frac{0.693}{\lambda}$$
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We can also talk about decay in terms of time instead of instances of decay
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**Mean Lifetime:**
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$$ \tau = \frac{1}{\lambda}$$
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