A parallel plate capacitor is having separation between plates 0.885 mm. It has a capacitance of 1 μ F when the space between the plates is filled…

A parallel plate capacitor is having separation between plates $\displaystyle 0.885$ mm . It has a capacitance of $\displaystyle 1 \mu \mathrm{~F}$ when the space between the plates is filled with an insulating material of resistivity $\displaystyle 1 \times 10^{13} \Omega \mathrm{~m}$ and resistance $\displaystyle 17.7 \times 10^{14} \Omega$. Relative permittivity of the insulating material is $\displaystyle \alpha \times 10^7$. The value of $\displaystyle \alpha$ is $\displaystyle \_\_\_\_$. (Take permittivity of free space $\displaystyle =8.85 \times 10^{-12} \mathrm{~F} / \mathrm{m}$ )