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Alpha Decay

A radioactive...

Question

A radioactive nucleus can decay by two different processes with half-lives of 2 years and 4 years respectively. Effective half life of nucleus in years is (Write upto two digits after the decimal point)

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Solution

$\frac{1}{t} = \frac{1}{t_{1}} + \frac{1}{t_{2}} \Rightarrow t = \frac{t_{1} t_{2}}{t_{1} + t_{2}} = \frac{2 \times 4}{2 + 4} = \frac{4}{3}$

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