A hydrogenic atom consists of a single electron orbiting a nucleus with Z protons (Z =1...

A hydrogenic atom consists of a single electron orbiting a nucleus with Z protons (Z =1 would be hydrogen itself, Z = 2 is ionized helium, Z = 3

is doubly ionized lithium, and so on). Determine the Bohr energies the binding energy E₁ (Z), the Bohr radius a (Z), and the Rydberg constant R(Z) for a hydrogenic atom. (Express your answers as appropriate multiples of the hydrogen values.) Where in the electromagnetic spectrum would the Lyman series fall, for Z = 2 and Z = 3? Hint: There's nothing much to calculate here—in the potential (Equation 4.52) so all you have to do is make the same substitution in all the final results.