The video tutorial explains the energy of an electron in a hydrogen atom, detailing the derivation of potential and kinetic energy. It describes how potential energy is related to the work done in bringing a free electron to a distance from the nucleus, governed by Coulomb's law. The kinetic energy is associated with the electron's mass and velocity. The total energy is derived by equating centripetal and centrifugal forces. The tutorial introduces Rydberg's constant and explains how to calculate the energy of an electron in different energy levels using quantum numbers.

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