A reactant (A) forms two products 

$\begin{array}{l}\mathrm{A}\stackrel{{\mathrm{k}}_1}{\to }\mathrm{B},{\text{ Activation energy E}}_{\mathrm{a}1}\\ \mathrm{A}\stackrel{{\mathrm{k}}_2}{\to }\mathrm{C},{\text{ Activation energy E}}_{\mathrm{a}2}\end{array}$

If ${\mathrm{E}}_{{\mathrm{a}}_2}=2{\mathrm{E}}_{{\mathrm{a}}_1}$ then ${\mathrm{k}}_1$ and ${\mathrm{k}}_2$ are related as