A radioactive nucleus can decay by two different processes. The half-life for the first process ...
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A radioactive nucleus can decay by two different processes. The half-life for the first process is \( t_{1} \) and that for the second process is \( t_{2} \). Show that the effective half life \( t \) of the nucleus is given by
\[
\frac{1}{t}=\frac{1}{t_{1}}+\frac{1}{t_{2}}
\]
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