Question

Match the LIST-I with LIST-II 

LIST-I (Quantum structures)	LIST-II (Delocalization dimensions)
A. Bulk conductor	I. 0
B. Quantum well	II. 3
C. Quantum wire	III. 1
D. Quantum dot	IV. 2

Choose the correct answer from the options given below:

• A. A - I, B - II, C - III, D - IV
• B. A - I, B - III, C - II, D - IV
• C. A - II, B - IV, C - III, D - I
• D. A - II, B - I, C - IV, D - III

Hint:

Think of the number of "free" or "large" dimensions for the electron:

Bulk: 3 free dimensions
Well/Plane: 2 free dimensions
Wire/Line: 1 free dimension
Dot/Point: 0 free dimensions
This number is the number of delocalization dimensions.

Answer 1

The Correct Option is C

Step 1: Concept Explanation:
This question explores the relationship between quantum structure types and their dimensionality, specifically regarding electron movement. "Delocalization dimensions" refers to the number of dimensions where an electron can move freely over macroscopic distances, meaning the dimensions without quantum confinement.
Step 2: Detailed Analysis:


A. Bulk conductor (3D): Electrons are free to move in all three spatial dimensions (x, y, z). Thus, A corresponds to II.
B. Quantum well (2D): Electrons are confined in one dimension (e.g., z-direction) but can move freely in the other two (x-y plane). Thus, B corresponds to IV.
C. Quantum wire (1D): Electrons are confined in two dimensions but can move freely along the remaining single dimension. Thus, C corresponds to III.
D. Quantum dot (0D): Electrons are confined in all three spatial dimensions, preventing movement in any direction. Thus, D corresponds to I.

Step 3: Solution:
The correct match is A-II, B-IV, C-III, D-I.