Question
Download Solution PDFFor a hydrogen atom the potential energy of the electron in the field of the nucleus is given by:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The potential energy of an electron in the electric field of the nucleus (Coulombic attraction) in a hydrogen atom is given by the electrostatic potential energy formula.
Let:
'e' be the charge of the electron
'r' be the distance of the electron from the nucleus
\(\varepsilon_0\) be the permittivity of free space
The electrostatic potential energy is given by:
\( V = -\frac{e^2}{4\pi\varepsilon_0 r} \)
The negative sign indicates that the force is attractive in nature between the positively charged nucleus and the negatively charged electron.
Correct Answer:
\( \boxed{V = -\frac{e^2}{4\pi\varepsilon_0 r}} \)
Last updated on Jul 15, 2025
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