Three metal plates of equal area are arranged in parallel. The gap between the top plate and the centre plate is $2.0\ \text{cm}$, while the distance from the centre plate to the bottom plate is $1.0\ \text{cm}$. The top plate is maintained at a potential of $+500\ \text{V}$, the middle plate at $+200\ \text{V}$ and the bottom plate is earthed, as shown. Determine the value of the ratio $\frac{\text{magnitude of force on an electron at } X}{\text{magnitude of force on an electron at } Y}$?
- A$0.75$
- B$1.00$
- C$1.25$
- D$1.50$