3- In its ground state, the hydrogen atom can be modeled as a positive point charge of magnitude +e (the proton) surrounded by a negative charge distribution with a charge density that varies with the distance from the center of the proton r as p = Poe¯2r/a, where a = 0.523nm is the most likely distance from the electron to the proton. (a) Calculate po necessary for the hydrogen atom to be neutral. (b) Calculate the electrostatic potential (relative to infinity) of this system as a function of the distance r to the proton.

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Chapter1: Units, Trigonometry. And Vectors
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3- In its ground state, the hydrogen atom can be modeled as a positive point
charge of magnitude +e (the proton) surrounded by a negative charge
distribution with a charge density that varies with the distance from the
center of the proton r as p = Poe-2r/a, where a = 0.523nm is the most
likely distance from the electron to the proton.
(a) Calculate Po necessary for the hydrogen atom to be neutral.
(b) Calculate the electrostatic potential (relative to infinity) of this system as
a function of the distance r to the proton.
Transcribed Image Text:3- In its ground state, the hydrogen atom can be modeled as a positive point charge of magnitude +e (the proton) surrounded by a negative charge distribution with a charge density that varies with the distance from the center of the proton r as p = Poe-2r/a, where a = 0.523nm is the most likely distance from the electron to the proton. (a) Calculate Po necessary for the hydrogen atom to be neutral. (b) Calculate the electrostatic potential (relative to infinity) of this system as a function of the distance r to the proton.
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