Consider : $$X\xrightarrow { -\alpha } Y \xrightarrow { -\alpha } Z$$ where half-lives of $$X$$ and $$Y$$ are $$2$$ year and one month respectively. The ratio of atoms of $$X$$ and $$Y$$, when transient equilibrium $$[T_{1/2}(X)> T_{1/2}(Y)]$$ has been established, is :
Correct option is C. $$23:1$$