Consider an electron in front of metallic surface at a distance d (treated as an infinite plane surface). Assume the force of attraction by the plate is given as `1/4 (q^(2))/(4pi in_(0)d^(2))`.
Calculate work in taking the charge to an infinite distance from the plate. Taking d=0.1nm, find the work done in electron volts. [Such a force law is not valid for d lt 0.1nm].

Explanation

To solve the problem of calculating the work done in taking an electron from a distance \( d \) (0.1 nm) to an infinite distance from a metallic surface, we can follow these steps:

### Step 1: Understand the Force of Attraction
The force of attraction \( F \) between the electron and the metallic surface is given by the formula:
\[ F = \frac{q^2}{4 \pi \epsilon_0 d^2} \]
where:
...