Consider Making an Artificial Atom That Mimics Hydrogen by Placing

Consider making an artificial atom that mimics hydrogen by placing an electron in a one-dimensional infinitely deep potential well (instead of the Coulomb potential produced by a proton in a real hydrogen atom) .What well width is required to produce an energy separation between the ground state and first excited state in the well that is the same as in hydrogen (E_{1st excited} - E_ground= 10.2 eV) ?

A) 0.1 nm
B) 0.3 nm
C) 0.5 nm
D) 2 nm
E) 5 nm

Correct Answer:

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