Neurtal hydrogen atom net electric charge and electric field at Bohr radius.

dolerka
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I am studying for my exam and I have run into this problem. The problem is given here [PLAIN]http://faculty.mint.ua.edu/~...-7_atoms_12Mar10/HW6-7_atoms_12Mar10_SOLN.pdf,[/PLAIN] it is #9.

I don't understand why -e ≠ ∫ρdV from 0 to the bohr radius, a0. If all of the charge is contained within that volume.
I may not be understanding where exactly the Bohr radius is being measured to. I am thinking the a0 is the radius of the electron cloud. So the electron cloud would be a sphere with radius a0 with a charge of -e.
 
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