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The activity of a sample of radioactive ...

The activity of a sample of radioactive material is `A_1` at time `t_1 and A_2` at time `t_(2)(t_2 gt t_1)` . Obtain an expression for its mean life.

Text Solution

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`A_(1)=A_(@)e^(-lamdat_(1)) and A_(2)=A_(@)^(-lamdat_(2))impliesA_(1)/A_(2)=e^(lamda(t_(2)-t_(1)))`
or `lamda(t_(2)-t_(1))=ln|(A_1)/A_2|` (or)
`tau=1/lamda=(t_2-t_1)/(ln|(A_1)/A_2|)`
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