(Solution) - A hydrogen atom can be considered as having a central -(2025 Original AI-Free Solution)

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A hydrogen atom can be considered as having a central point like proton of positive charge e and an electron of negative charge -e that is distributed about the proton according to the volume charge density ( = A exp(-2r/a0). Here A is a constant, a0 = 0.53 x 10-10 m, and r is the distance from the center of the atom.
(a) Using the fact that the hydrogen is electrically neutral, find A. Then find the
(b) Magnitude
(c) Direction of the atom's electric field at a0.