GATE Electrical Engineering (EE) 2015 Shift 2 Solved Paper

A buck converter feeding a variable resistive load is shown in the figure. The switching frequency of the switch S is $100\mathit{k}\mathit{H}\mathit{z}$ and the duty ratio is 0.6. The output voltage ${\mathit{V}}_0$ is $36\mathit{V}$. Assume that all the components are ideal, and that the output voltage is ripple-free. The value of $\mathit{R}$ (in Ohm) that will make the inductor current (${\mathit{i}}_{\mathit{L}}$) just continuous is _________.