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: Understanding the Concept:
This question relates different types of quantum structures to their dimensionality in terms of electron movement. "Delocalization dimensions" refers to the number of dimensions in which an electron is free to move over macroscopic distances, i.e., the dimensions in which it is not quantum confined.
Step 2: Detailed Explanation:


A. Bulk conductor: In a bulk (3D) material, electrons are not confined in any of the three spatial dimensions (x, y, z). They are delocalized and free to move in 3 dimensions. Therefore, A matches II.
B. Quantum well: This is a 2D structure. Electrons are confined in one dimension (e.g., the z-direction) but are free to move in the other two dimensions (the x-y plane). They are delocalized in 2 dimensions. Therefore, B matches IV.
C. Quantum wire: This is a 1D structure. Electrons are confined in two dimensions but are free to move along the remaining single dimension (the length of the wire). They are delocalized in 1 dimension. Therefore, C matches III.
D. Quantum dot: This is a 0D structure. Electrons are confined in all three spatial dimensions. They are not free to move in any direction and are localized to a small region. They are delocalized in 0 dimensions. Therefore, D matches I.

Step 3: Final Answer:
The correct matching is A-II, B-IV, C-III, D-I.