Simple Cubic Structure MCQ Questions and Answers
1. In a simple cubic unit cell, atoms are present at which positions?
A. Only at the corners
B. At the body centre only
C. At the face centres only
D. At the corners and face centres
Correct Answer:
Only at the corners
Explanation:
In a simple cubic structure, constituent particles are present only at the eight corners of the cube.
2. What is the effective number of atoms present in one simple cubic unit cell?
A. 1
B. 2
C. 4
D. 8
Correct Answer:
1
Explanation:
Each corner atom contributes one-eighth to a unit cell, and eight corner atoms together contribute 8 × 1/8 = 1 atom.
3. What is the coordination number of an atom in a simple cubic structure?
A. 4
B. 6
C. 8
D. 12
Correct Answer:
6
Explanation:
In a simple cubic structure, each atom has six nearest neighbours: one along each positive and negative direction of the three axes.
4. In a simple cubic unit cell, the edge length a is related to the atomic radius r by which equation?
A. a = r
B. a = √2r
C. a = 2r
D. a = 4r
Correct Answer:
a = 2r
Explanation:
In a simple cubic structure, atoms touch each other along the edge of the cube, so the edge length is equal to two atomic radii.
5. What is the approximate packing efficiency of a simple cubic structure?
A. 26%
B. 52.4%
C. 68%
D. 74%
Correct Answer:
52.4%
Explanation:
The packing efficiency of a simple cubic unit cell is approximately 52.4%, meaning this fraction of the unit-cell volume is occupied by atoms.
6. Which element is commonly associated with a simple cubic crystal structure?
A. Polonium
B. Copper
C. Sodium chloride
D. Magnesium
Correct Answer:
Polonium
Explanation:
Polonium is a well-known example of an element that crystallizes in the simple cubic structure.
7. How many corner positions are present in a simple cubic unit cell?
A. 4
B. 6
C. 8
D. 12
Correct Answer:
8
Explanation:
A cube has eight corners, and in a simple cubic unit cell particles are located at all eight corners.
8. If the atomic radius in a simple cubic structure is r, what is the length of the unit-cell edge?
A. r/2
B. r
C. 2r
D. 3r
Correct Answer:
2r
Explanation:
Since neighbouring atoms touch along the edge, the unit-cell edge contains two radii and therefore equals 2r.
9. What fraction of each corner atom belongs to one particular simple cubic unit cell?
A. 1/2
B. 1/4
C. 1/6
D. 1/8
Correct Answer:
1/8
Explanation:
Each corner atom is shared by eight neighbouring cubic unit cells, so its contribution to one unit cell is 1/8.
10. Which statement correctly describes the arrangement of particles in a simple cubic structure?
A. Particles touch along the face diagonal
B. Particles touch along the body diagonal
C. Particles touch along the cube edge
D. Particles do not touch in the unit cell
Correct Answer:
Particles touch along the cube edge
Explanation:
In a simple cubic structure, the nearest corner particles touch along the edges of the cube.
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