A Zener of breakdown voltage V Z = 8   V and maximum Zener current, I ZM = 10   mA is subjected to…

A Zener of breakdown voltage $V_Z=8 \mathrm{V}$ and maximum Zener current, $I_{\mathrm{ZM}}=10 \mathrm{mA}$ is subjected to an input voltage $V_i=10 \mathrm{V}$ with series resistance $R=100 \mathrm{\Omega }$. In the given circuit $R_{\mathrm{L}}$ represents the variable load resistance. The ratio of maximum and minimum value of $R_L$ is _____ .