Highly excited state for hydrogen - like atom (also called rydberg states) with nuclear charge Ze are defined by their principal quantum number n, where `ngtgt1` Which of the following statement is (are) true?

Options

A. Relative change in the radii of two consecutive orbitals does not depend on Z
B. Relative change in the radii of two consecutive orbitals varies as 1/n
C. Relative change in the energy of two consecutive orbitals varies as `1//n^(3)`
D. Relative change in the angular momenta of two consecutive orbitals varies as `1//n`.

Answer

A

Explanation

We know that: `r=(n^(2))/(Z)xx0.529`Ã…, within the same atom change in two consecutive radii depends on `n^(2)` not on the atomic number (Z).