Physics Question from JEE Main 2023 · 6 April, Shift 1

A parallel plate capacitor with plate area $A$ and plate separation $d$ is filled with a dielectric material of dielectric constant $K = 4$. The thickness of the dielectric material is $x$, where $x < d$. Let $C_1$ and $C_2$ be the capacitance of the system for $x = \frac{1}{3}d$ and $x = \frac{2}{3}d$, respectively. If $C_1 = 2 \, \mu\text{F}$, the value of $C_2$ is in $\mu\text{F}$: