A hydrogen atom can be considered as having a central pointlike proton of positive charge e and an electron of negative charge -e that is distributed about the proton according to the volume charge density r = A exp(-2r/a0). Here A is a constant, a0 = 0.53 *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 and (c) direction of the atom’s electric field at a0.

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A hydrogen atom can be considered as having a central pointlike
proton of positive charge e and an electron of negative charge
-e that is distributed about the proton according to the volume
charge density r = A exp(-2r/a0). Here A is a constant, a0 = 0.53 *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 and (c) direction of the atom’s electric field at a0.

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