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Thomson’s Model of the Atom, Continued. Using Thomson’s
Chapter 22, Problem 55P(choose chapter or problem)
Thomson’s Model of the Atom, Continued. Using Thomson’s (outdated) model of the atom described in Problem 22.54, consider an atom consisting of two electrons, each of charge \(-e\) embedded in a sphere of charge \(+2 e\) and radius R. In equilibrium, each electron is a distance d from the center of the atom (Fig. P22.55). Find the distance d in terms of the other properties of the atom.
Questions & Answers
QUESTION:
Thomson’s Model of the Atom, Continued. Using Thomson’s (outdated) model of the atom described in Problem 22.54, consider an atom consisting of two electrons, each of charge \(-e\) embedded in a sphere of charge \(+2 e\) and radius R. In equilibrium, each electron is a distance d from the center of the atom (Fig. P22.55). Find the distance d in terms of the other properties of the atom.
Solution 55P Step 1 of 5: The electron 1 exerts force on 2 and also electron 2 exerts force on electron 1. According to Coulomb’s law, the force between the electrons. Consider the forces on the electron 2. There is a repulsive force F due to the 1ther electron because both are same(negative) charge. where 2d is the distance between the electrons .R is the radius of the sphere. F = 1 e2 1 40(2d)2 2 = 1 e 2............................(1) 404d