(a) Derive the mathematical expression for law of radioactive decay for a sample of radioactive nucleus.
(b) How is the mean life of a given radioactive nucleus related to the decay constant?
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Explanation:
To find the mean life t1, we need to use the equation of radioactive law. The number of nuclei which decay in the time interval t to t + Δt is R(t)Δt (= λN0 e–λt Δt). Each of them has lived for time t. Thus, the total life of all these nuclei would be t λN0 e–λt Δt.
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