Chemistry Atomic Structure SZABMU 2023
PMDC Verified Question 26 of 95
The dumbbell like orbitals can move in how many directions?
A
\( 7 \)
B
\( 5 \)
C
\( 1 \)
D
\( 3 \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option D: \( 3 \)
Concept: The "dumbbell" shape refers to the \( p \)-orbital. The number of directions (orientations) it can take in space is given by its magnetic quantum numbers.

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

Solution:
  • A dumbbell shape means it is a \( p \)-orbital, so its azimuthal quantum number is \( l = 1 \).
  • The number of spatial orientations is \( 2(1) + 1 = 3 \).
  • These three orientations align along the Cartesian axes: \( p_x \), \( p_y \), and \( p_z \).


Why other options are incorrect: 1 orientation is for the spherical \( s \)-orbital. 5 orientations are for the \( d \)-orbital. 7 orientations are for the \( f \)-orbital.

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