The relationship between quantum number $n$ and $l$ is: · Atomic Structure MDCAT Past Paper MCQ

Chemistry Atomic Structure PMDC 2020

PMDC Verified Question 71 of 95

The relationship between quantum number $n$ and $l$ is:

$ n = l - 1 $

$ l = n - 2 $

$ n = l - 2 $

$ l = n - 1 $

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Propolis Cognitive Error Autopsy

Official Correct Choice:

Option D: $ l = n - 1 $

Concept: The azimuthal quantum number ($l$) is bounded by the principal quantum number ($n$).

Formula: $$ l = 0, 1, 2, \dots, (n - 1) $$

Solution:

For a given principal shell $n$, the possible values of $l$ start from $0$ and go up to a maximum of $n-1$.
Therefore, the maximum possible value (and the defining mathematical boundary) linking the two is $ l = n - 1 $.

Why other options are incorrect: $l$ can never be equal to or greater than $n$, which immediately disqualifies expressions like $n = l - 1$.

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