Electric Potential Energy: Practice Problem & Solution

Solution Explained:

To solve this problem, we apply the core principles of Electric Potential Energy. Understanding the underlying formula is key to arriving at the correct answer below:

The kinetic energy gained by the electron is equal to the work done by the electric field:

\[
eV = \frac{1}{2} m v^2
\]

Rearranging for \(v\):

\[
v = \sqrt{\frac{2eV}{m}}
\]

This shows that \(v \propto \sqrt{V}\).