GATE Electronics and Communications (EC) 2015 Shift 2 Solved Paper

In a MOS capacitor with an oxide layer thickness of 10 nm, the maximum depletion layer thickness is 100nm. The permittivities of the semiconductor and the oxide layer are ϵ_s and ϵ_ox respectively. Assuming, $\frac{{\mathit{ϵ}}_{\mathit{x}}}{{\mathit{ϵ}}_{\mathit{o}\mathit{x}}}=3$, the ratio of the maximum capacitance to the minimum capacitance of this MOS capacitor is_____