Highly excited states for hydrogen-like atoms (also called Rydberg states) with…

CHEMISTRY · Single correct · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge

Z e

are defined by their principal quantum number

n

, where

n \gg 1

. Which of the following statement(s) is(are) true? [Adv. 2016] (1) Relative change in the radii of two consecutive orbitals does not depend on

Z

(2) Relative change in the radii of two consecutive orbitals varies as

1/n

(3) Relative change in the energy of two consecutive orbitals varies as

1/n^3

(4) Relative change in the angular momenta of two consecutive orbitals varies as

1/n