An infinite sheet of uniform charge $\rho_{s}=10 \mathrm{C} / \mathrm{m}^{2}$ is placed on $z=0$ plane. The medium surrounding the sheet has a relative permittivity of $10$. The electric flux density, in $\mathrm{C} / \mathrm{m}^{2}$, at a point $\mathrm{P}(0,0,5)$, is
Note: $\hat{a}, \hat{b}$, and $\hat{c}$ are unit vectors along the $x, y$, and $z$ directions, respectively.
- $5 \hat{c}$
- $0.25 \hat{c}$
- $10 \hat{c}$
- $0.5 \hat{c}$
