The kinetic energy of an electron moving in a circular orbit of radius r about a positive charge Ze varies A) directly with r. B) directly with r². C) inversely with r. D) inversely with r². E) inversely with r^1/2.

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Quizplus · Accepted Answer

The kinetic energy of an electron moving in a circular orbit is given by KE = (1/2)mv^2, where m is the mass of the electron, and v is its velocity. For a circular orbit, v is proportional to 1/r, where r is the radius of the orbit. Therefore, KE is proportional to (1/2)m(1/r)^2, or inversely proportional to r.

The Kinetic Energy of an Electron Moving in a Circular