Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their principal quantum number n, where n 1. Which of the following statement(s) is(are) true?

JEE Advanced 2016 Physics question

Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge are defined by their principal quantum number , where . Which of the following statement(s) is(are) true?

(A)Relative change in the radii of two consecutive orbitals does not depend on Correct
(B)Relative change in the radii of two consecutive orbitals varies as Correct
(C)Relative change in the energy of two consecutive orbitals varies as
(D)Relative change in the angular momenta of two consecutive orbitals varies as Correct

Answer: (A),(B),(D)

Solution

: , independent of and varying as , so (A) and (B) are true. : ${Δ

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Question ID VK-026489