An electron revolves in the second stationary orbit of the doubly ionised lithium atom

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

Problem

An electron revolves in the second stationary orbit of the doubly ionised lithium atom (Li2+)(\text{Li}^{2+}). (i) Write the formula for the radius of an allowed orbit of a hydrogen-like ion in terms of the principal quantum number nn and the atomic number ZZ. (ii) Using a0=0.529 A˚a_0 = 0.529\,\text{\AA}, calculate the numerical value of the radius of this orbit in ångströms. (iii) Determine the ratio of this radius to that of the first stationary orbit of the hydrogen atom. Comment on your result.

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