Question

BONUS: Electron Cloud In the Bohr model of hydrogen, the electron is treated as a point particle orbiting the nucleus at a distance of Og . 5.3. 10-11 m Reality is not so simple, however. The charge of the electron is distributed around the nucleus in a spherically symmetrie, nonuniform manner. (ais merely the most probable distance between the electron and the nucleus.) In this problem, we will explore the electric fields within a hydrogen atom using Gauss' law. Treat the nucleus as a charge of +Q centered at the origin. (We will use Q to represent the electron charge in this problem,n order to avoid confusing it with the exponential function e) (a) The electron charge distribution is nonuniform. The charge density is o(r)--e-2r/m What fraction of the total electron charge is contained within a sphere of radius a? (b) What is the electric field strength at a distance a from the nucleus of a hydrogen atom? Be sure to include the contributions from the proton and the electron

Answer 1

The charge due to a sphere is the product of the charge density and the volume of the sphere. By use of the Gauss law we can obtain the electric field.