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13.Nuclei
medium
A radioactive element $ThA (_{84}Po^{216})$ can undergo $\alpha$ and $\beta$ are type of disintegrations with half-lives, $T_1$ and $T_2$ respectively. Then the half-life of ThA is
A
$T_1 + T_2$
B
$T_1 \cdot T_2$
C
$T_1 - T_2$
D
$\frac{{{T_1}{T_2}}}{{{T_1} + {T_2}}}$
Solution
${\lambda _{\text{1}}} = \frac{{0.693}}{{{T_1}}}$
${\lambda _2} = \frac{{0.693}}{{{T_2}}}$
${\lambda _{eq}} = {\lambda _1} + {\lambda _2} = 0.693\,/{T_{1/2}}$
${{\text{T}}_{{\text{1/2}}\,{\text{eq}}{\text{.}}}} = \frac{{{T_1}{T_2}}}{{{T_1} + {T_2}}}$
Standard 12
Physics
