Two conducting Plates X and Y,

Two conducting Plates $X$ and $Y$, each having large surface area A (on one side), are placed parallel to each other shown in figure. The plate $X$ is given a charge $Q$ whereas the other is neutral. Find

(a) the surface charge density at the inner surface of the plate $X$,

(b) the electric field at a point to the left of the plates,

(c) the electric field at a point in between the plates and

(d) the electric field at a point to the right of the plates.