Match List I with List II.

(A)-(II), (B)-(I), (C)-(IV), (D)-(III)

The correct answer is option 3. (A)-(II), (B)-(I), (C)-(IV), (D)-(III).

The number of nearest neighbours of a particle in any type of close packing is known as its coordination number.Sure, let's break down each type of packing and its coordination number in detail:

(A) 1-D Close Packing: (II) 2

In one-dimensional close packing, atoms are arranged in a single line where each atom touches its two nearest neighbors (one on each side).

Coordination Number: 2.

Each atom in this linear arrangement is in contact with only two other atoms, giving it a coordination number of 2.

(B) 2-D Square Close Packing: (I) 4

In two-dimensional square close packing, atoms are arranged in a square grid where each atom touches four neighbors (one at each corner of a square).

Coordination Number: 4

In this arrangement, each atom is surrounded by four other atoms placed at the corners of a square, resulting in a coordination number of 4

(C) 3-D Hexagonal Close Packing (HCP):(IV) 12

In three-dimensional hexagonal close packing, atoms are arranged such that each atom has twelve nearest neighbors. This arrangement is characterized by layers of hexagonally arranged atoms stacked in an ABAB pattern.

Coordination Number: 12

Each atom in the HCP structure is surrounded by six atoms in its own layer, three atoms in the layer above, and three atoms in the layer below, totaling twelve nearest neighbors.

(D) 2-D Hexagonal Close Packing:(III) 6

In two-dimensional hexagonal close packing, atoms are arranged in a hexagonal grid where each atom touches six neighbors (one at each corner of a hexagon).

Coordination Number: 6

In this arrangement, each atom is surrounded by six other atoms forming a hexagon around it, giving it a coordination number of 6.

Hence, the correct matching is option 3. (A)-(II), (B)-(I), (C)-(IV), (D)-(III)