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roshan2004
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Homework Statement
A radioactive nucleus can decay by two different processes. The half life for the first processes is [tex]t_{1}[/tex] and that for the second is [tex]t_{2}[/tex]. Show that the effective half life t of the nucleus is given by
[tex]\frac{1}{t}=\frac{1}{t_{1}}+\frac{1}{t_{2}}[/tex]
Homework Equations
[tex]t=\frac{0.693}{\lambda }[/tex]
The Attempt at a Solution
Tried to use [tex]\lambda =\lambda _{1}+\lambda _{2}[/tex], and got the answer but don't know why, how and is it the correct way to prove this?