In a parallel plate capacitor set up, the plate area of capacitor is $2{ \mathrm{m}}^2$ and the plates are separated by $1 \mathrm{m}$. If the space between the plates are filled with a dielectric material of thickness $0.5 \mathrm{m}$ and are $2{ \mathrm{m}}^2$ (see figure) the capacitance of the set-up will be ${\epsilon }_0$ ________.

(Dielectric constant of the material $=3.2$)

(Round off to the Nearest Integer)

Hence, the correct answer is 3.