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An electron rotates in a circle around a...

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?

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To find the relationship between the electron's velocity and the radius of its orbit when an electron rotates in a circle around a nucleus with positive charge \( Ze \), we can follow these steps: ### Step 1: Identify the Forces Acting on the Electron The electron experiences a centripetal force that keeps it in circular motion. This centripetal force is provided by the electrostatic force of attraction between the positively charged nucleus and the negatively charged electron. ### Step 2: Write the Expression for Electrostatic Force The electrostatic force \( F \) between the nucleus (charge \( Ze \)) and the electron (charge \( -e \)) can be expressed using Coulomb's law: \[ ...
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