Question

A radioactive sample decays through two different decay process α decay and $\beta$ decay. Half-life time for $\alpha$ decay is 3 h and half-life for β decay is 6 h. what will be the ratio of the number of initial radioactive nuclei to the number of radioactive nuclei present after 6h?___

Answer 1

$t_{eq}=\frac{t_1{t}_2}{t_1+t_2}=\frac{6\times 3}{6+3}=2h6h=3\left(t_{eq}\right)\Rightarrow N=\frac{N_0}{(2{)}^3}\Rightarrow \frac{N_0}{N}=8$