Chemistry Atomic Structure SZABMU 2024
PMDC Verified Question 5 of 95
How many electrons will be accommodated in sub-shell with Azimuthal quantum number \( l = 2 \)?
A
\( 2 \)
B
\( 6 \)
C
\( 10 \)
D
\( 12 \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( 10 \)
Concept: The total electron capacity of a subshell depends on the number of spatial orbitals it contains, with each orbital holding 2 electrons.

Formula: $$ \text{Max Electrons} = 2(2l + 1) $$

Solution:
  • An azimuthal quantum number of \( l = 2 \) specifically denotes a \( d \)-subshell.
  • First, calculate the number of orbitals: \( 2(2) + 1 = 5 \) orbitals.
  • Multiply by 2 electrons per orbital: \( 5 \times 2 = 10 \) electrons.


Why other options are incorrect: 2 is the capacity for an \( s \)-subshell (\( l=0 \)). 6 is the capacity for a \( p \)-subshell (\( l=1 \)). 12 is mathematically invalid for standard quantum configurations.

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