If value of azimuthal quantum number is 1 then value of $ m $ will range from: · Atomic Structure MDCAT Past Paper MCQ

Chemistry Atomic Structure SZABMU 2023

PMDC Verified Question 25 of 95

If value of azimuthal quantum number is 1 then value of $ m $ will range from:

$ -1 \text{ to } 1 $

$ -1 \text{ to } 2 $

$ -1 \text{ to } 3 $

$ -1 \text{ to } 4 $

Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:

Option A: $ -1 \text{ to } 1 $

Concept: The magnetic quantum number ($ m $) depends entirely on the azimuthal quantum number ($ l $) and defines the possible 3D orientations of the subshell.

Formula: $$ m = -l, \dots, 0, \dots, +l $$

Solution:

The azimuthal quantum number is given as $ l = 1 $ (which corresponds to a $ p $-subshell).
The allowable values for $ m $ range from $ -l $ to $ +l $ in integer steps.
Therefore, the values are $ -1, 0, +1 $.
The range is strictly $ -1 \text{ to } 1 $.

Why other options are incorrect: The other ranges imply values of $ l $ greater than 1, violating the fundamental bounds of the magnetic quantum number.

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