A quantum-mechanical treatment of the hydrogen atom shows that the electron in the atom can be treated as a smeared-out distribution of negative...

A quantum-mechanical treatment of the hydrogen atom shows that the electron in the atom can be treated as a smeared-out distribution of negative charge of the form ρ(r) = −ρ0e-2r/a. Here r represents the distance from the center of the nucleus and a represents the first Bohr radius, which has a numerical value of 0.0529 nm. Recall that the nucleus of a hydrogen atom consists of just one proton and treat this proton as a positive point charge.(a) Calculate ρ0, using the fact that the atom is neutral. (Use the following as necessary: e and a.)