A spherical capacitor has an inner sphere of radius 12 cm and an outer sphere of radius 13 cm. The outer sphere is earthed and the inner sphere is given a charge of $2.5 \mu C$. The space between the concentric spheres is filled with a liquid of dielectric constant $32$. Determine the capacitance of the capacitor.

Question

$\begin{array}{1 1} 5.5 \times 10^{-9}\;F \\ 6.5 \times 10^{-9}\;F \\ 4.5 \times 10^{-9}\;F \\ 2.5 \times 10^{-9}\;F\end{array}$