Chemistry Atomic Structure DUHS 2022
PMDC Verified Question 55 of 95
The quantum number allows following orbitals in N-shell.
A
\( s \) - orbital
B
\( s \) & \( p \) orbital
C
\( s, p, d \) & \( f \) orbital
D
All options correct
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( s, p, d \) & \( f \) orbital
Concept: The principal quantum number \( n \) restricts the number of subshells available within a given electron shell to exactly \( n \) subshells.

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

Solution:
  • The shells are designated K, L, M, N corresponding to \( n = 1, 2, 3, 4 \).
  • For the N-shell, \( n = 4 \).
  • The possible azimuthal quantum numbers are \( l = 0, 1, 2, 3 \).
  • These correspond directly to the \( s, p, d \), and \( f \) subshells.
  • Therefore, the N-shell fully supports \( s, p, d \), and \( f \) orbitals.


Why other options are incorrect: Options A and B are incomplete subsets of the orbitals present in the N-shell.

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