The Bohr model of the atom is specified in Problem 9A.8.

(a) What features of it are untenable according to quantum mechanics?

(b) How does the Bohr ground state differ from the actual ground state?

(c) Is there an experimental distinction between the Bohr and quantum mechanical models of the ground state?

Data in Problem 9A.8.

One of the most famous of the obsolete theories of the hydrogen atom was proposed by Bohr. It has been replaced by quantum mechanics, but by  a remarkable coincidence (not the only one where the Coulomb potential is concerned), the energies it predicts agree exactly with those obtained from the Schrödinger equation. In the Bohr atom, an electron travels in a circle around the nucleus. The Coulombic force of attraction (Ze²/4πε₀r²) is balanced by the centrifugal effect of the orbital motion. Bohr proposed that the angular momentum is limited to integral values of ħ. When the two forces are balanced, the atom remains in a stationary state until it makes a spectral transition. Calculate the energies of a hydrogenic atom using the Bohr model.