Prove that linear velocity of revolving electron is inversely proportional to the principal quantum number
Answers
Answer:
As the electron is revolving the in a circular path, it take specific time to complete one rotation. This specific time is called time period. We can derive the equation for the time period by writing a small relation between linear velocity and the angular velocity of the electron. The derivation is as shown below. It is proved that time period of the electron is directly proportional to cube of the principal quantum number and inversely proportional to Squire of the atomic number.
Explanation:
As the electron is revolving the in a circular path, it take specific time to complete one rotation. This specific time is called time period. We can derive the equation for the time period by writing a small relation between linear velocity and the angular velocity of the electron. The derivation is as shown below. It is proved that time period of the electron is directly proportional to cube of the principal quantum number and inversely proportional to Squire of the atomic number.