The combination of physical constants where is the Coulomb
Chapter , Problem 66(choose chapter or problem)
The combination of physical constants \(\alpha=e^{2} k / \hbar c\) where k is the Coulomb constant, is known as the fine-structure constant. It appears in numerous relations in atomic physics.
(a) Show that \(\alpha\) is dimensionless.
(b) Show that in the Bohr model of the hydrogen atom \(v_n=c \alpha /n\) where \(v_n\) is the speed of the electron in the state of quantum number n.
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