"A radioactive sample disintegrates via two independent decay processes having half lives $T_{1/2}^{(1)}$ and $T_{1/2}^{(2)}$ respectively. The effective half-life T1/2 of the nuclei is :"

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"$${\left( {{{dN} \over {dt}}} \right)_1} = N{\lambda _1},{\left( {{{dN} \over {dt}}} \right)_2} = N{\lambda _2}$$

$${{dN} \over {dt}} = {\left( {{{dN} \over {dt}}} \right)_1} + {\left( {{{dN} \over {dt}}} \right)_2}$$

$N{\lambda _{eff}} = N{\lambda _1} \times N{\lambda _2}$

${1 \over {{T_{eff}}}} = {1 \over {{T_1}}} + {1 \over {{T_2}}}$

${T_{eff}} = {{{T_1}{T_2}} \over {{T_1} + {T_2}}}$"

A radioactive sample disintegrates via two independent decay processes having half lives $T_{1/2}^{(1)}$ and $T_{1/2}^{(2)}$ respectively. The effective half-life T_1/2 of the nuclei is :

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A radioactive sample disintegrates via two independent decay processes having half lives $T_{1/2}^{(1)}$ and $T_{1/2}^{(2)}$ respectively. The effective half-life T1/2 of the nuclei is :

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A radioactive sample disintegrates via two independent decay processes having half lives $T_{1/2}^{(1)}$ and $T_{1/2}^{(2)}$ respectively. The effective half-life T_1/2 of the nuclei is :