Practicing Success

Target Exam

CUET

Subject

Chemistry

Chapter

Physical: Solid State

Question:

Match List I with List II

List I

Type of Unit Cell

List II

Number of Lattice points

A. Primitive Unit Cell I. 9
B. Body-centered Unit Cell II. 8
C. Face-centered Unit Cell III. 10
D. End-centered Unit Cell IV. 14

Choose the correct answer from the option given below:

Options:

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

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

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

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

Correct Answer:

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

Explanation:

The correct answer is option 2. A-II, B-I, C-IV, D-III.

A. Primitive Unit Cell: This one holds only 8 lattice points, one at each corner of the cubic unit cell. Therefore, it matches with II. 8.

B. Body-centered Unit Cell: This unit cell boasts 9 lattice points – 8 at the corners and an additional one at the center of the cube. Hence, it corresponds to I. 9.

C. Face-centered Unit Cell: This type features 14 lattice points in total. It includes 8 at the corners and an additional one at the center of each face. So the total count becomes 8 corners + 6 faces = 14. Therefore, it pairs with IV. 14.

D. End-centered Unit Cell: This unit cell also encompasses 10 lattice points. It has 8 at the corners and an additional one at the center of each opposite face. So total count gives 8 corners + 2 center points = 10. So, it matches with III. 10.