The number of orientations of a sub-shell for which $ n = 4 $ and $ l = 3 $ will be: · Atomic Structure MDCAT Past Paper MCQ

Chemistry Atomic Structure ETEA 2023

PMDC Verified Question 28 of 95

The number of orientations of a sub-shell for which $ n = 4 $ and $ l = 3 $ will be:

$ 5 $

$ 3 $

$ 7 $

$ 1 $

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Propolis Cognitive Error Autopsy

Official Correct Choice:

Option C: $ 7 $

Concept: The number of spatial orientations of any given subshell is independent of the principal quantum number ($ n $) and depends entirely on the azimuthal quantum number ($ l $).

Formula: $$ \text{Orientations} = 2l + 1 $$

Solution:

We are given $ l = 3 $ (which corresponds to an $ f $-subshell).
Substitute $ l=3 $ into the formula: $ 2(3) + 1 = 6 + 1 = 7 $.
Therefore, there are 7 distinct spatial orientations (degenerate orbitals) for this subshell.

Why other options are incorrect: 1 is for $ l=0 $. 3 is for $ l=1 $. 5 is for $ l=2 $.

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