An electron rotates in a circle around a nucleus with positive charge `Ze`. How is the electrons'velocity realted to the radius of its orbit?

Explanation

To find the relationship between the electron's velocity and the radius of its orbit when it is rotating around a nucleus with a positive charge \( Ze \), we can follow these steps:

### Step 1: Understand the forces acting on the electron
The electron experiences a centripetal force due to the electrostatic attraction between the positively charged nucleus and the negatively charged electron. This force can be expressed using Coulomb's law.

### Step 2: Write down Coulomb's Law
The electrostatic force \( F \) between the nucleus and the electron is given by:
\[
...