An electron is accelerated through a potential difference V. Write the expression for its final speed , if it was initially at rest.

Explanation

To find the final speed of an electron that has been accelerated through a potential difference \( V \), we can use the principles of energy conservation. Here’s the step-by-step solution:

### Step 1: Understand the Initial Conditions
The electron is initially at rest, which means its initial kinetic energy (\( KE_i \)) is zero.

### Step 2: Write the Expression for Energy Conservation
When the electron is accelerated through a potential difference \( V \), the work done on the electron by the electric field is converted into kinetic energy. The conservation of mechanical energy can be expressed as:
\[
...