The combination of physical constants = e2k/hc, where k is the Coulomb constant, is known as

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The combination of physical constants α = e2k/hc, where k is the Coulomb constant, is known as the fine-structure constant. It appears in numerous relations in atomic physics.

(a) Show that α is dimensionless.

(b) Show that in the Bohr model of hydrogen vn = cα/n, where vn is the speed of the electron in the stationary state of quantum number n.


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