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A radioactive nucleus can decay by two d...

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
`1/t = 1/t_1 + 1/t_2`.

A

`t=t_(1)+t_(2)`

B

`1/t=t_(1)+t_(2)`

C

`t=(t_(1)t_(2))/(t_(3)+t_(2))`

D

`t=t_(1)-t_(2)`

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