A parallel plate capacitor with air between the plates has a capacitance of $9\: pF$. The separation between the plates is $d$ . The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant $k_1=3$ and thickness $ \large\frac{d}{3}$ while the other has dielectric constant $k_2=6$ and thickness $ \large\frac{2d}{3}$. Capacitance of the capacitor is now

Question

$\begin {array} {1 1} (A)\;1.8\: pF & \quad (B)\;45\: pF \\ (C)\;40.5 \: pF & \quad (D)\;20.25\: pF \end {array}$