Word Count : 431

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To derive the expression for the radius of the hydrogen atom, we rely on the Bohr model of the atom, which describes the hydrogen atom as an electron orbiting a proton in discrete orbits. Here's a step-by-step breakdown: ### Key Concepts: 1. Coulomb's Law: The force of attraction between the proton and the electron is given by Coulomb's law: \[ F = \frac{k_e e^2}{r^2} \] where \( k_e \) is Coulomb's constant, \( e \) is the elementary charge, and \( r \) is the radius of the electron’s orbit. 2. Centripetal Force: The electron is bound to the nucleus and travels in a circular orbit. The ___ _____ ___ _________ _________ _______ ___ ________.
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