A radioactive source has a measured half-life and decays by three independent…

PHYSICS · Multi-part · Fermi University Physics · Nuclear Physics · Radioactivity and decay modes · Radioactivity and decay modes

The Nucleus Resolved, Ch Decay rates from the golden rule: kinetics closed and alpha decay finished

Problem

A radioactive source has a measured half-life T1/2=12.3 hT_{1/2} = 12.3\,\mathrm{h} and decays by three independent branches with branching fractions 70.0%70.0\%, 25.0%25.0\% and 5.0%5.0\%. ((a)) Find the partial half-life of the 70.0%70.0\% branch. ((b)) Find the partial half-life of the 25.0%25.0\% branch. ((c)) Find the partial half-life of the 5.0%5.0\% branch.

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