Show that for a hydrogen-like ion the product of the magnitude of the total energy…

CHEMISTRY · Subjective · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Show that for a hydrogen-like ion the product of the magnitude of the total energy ∣En∣|E_n| and the radius rnr_n of the nnth orbit is independent of nn and directly proportional to the atomic number ZZ. Hence write the expression for ∣En∣ rn|E_n|\,r_n in terms of fundamental constants.

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