chemistry : class12 Body-Centred Cubic Structure : Crystalline solids : Solid State MCQ Questions and Answers
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Body-Centred Cubic Structure
MCQ questions and answers.
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MCQ Questions
1. How many atoms are effectively present in one body-centred cubic unit cell?
A.
1
B.
2
C.
4
D.
8
Correct Answer:
2
Explanation:
A body-centred cubic unit cell has eight corner atoms, each contributing one-eighth, giving 1 atom, plus one atom completely inside the body centre. Thus, total atoms = 2.
2. What is the coordination number of a body-centred cubic structure?
A.
4
B.
6
C.
8
D.
12
Correct Answer:
8
Explanation:
In a body-centred cubic structure, the atom at the body centre is surrounded by eight nearest-neighbour atoms located at the corners.
3. Where is the additional atom located in a body-centred cubic unit cell?
A.
At the centre of a face
B.
At the centre of the body
C.
Only at one corner
D.
Along one edge
Correct Answer:
At the centre of the body
Explanation:
The defining feature of a body-centred cubic unit cell is one atom located at the centre of the cube in addition to atoms at all eight corners.
4. In a body-centred cubic unit cell, along which line do the atoms touch each other?
A.
Along an edge
B.
Along a face diagonal
C.
Along the body diagonal
D.
Along a perpendicular bisector
Correct Answer:
Along the body diagonal
Explanation:
In a body-centred cubic structure, corner atoms and the body-centred atom touch along the body diagonal of the cube.
5. What is the relation between the edge length a and atomic radius r in a body-centred cubic unit cell?
A.
a = 2r
B.
a = 4r
C.
√3a = 4r
D.
a = r/2
Correct Answer:
√3a = 4r
Explanation:
The body diagonal has length √3a and contains four atomic radii because atoms touch along this diagonal. Therefore, √3a = 4r.
6. What is the approximate packing efficiency of a body-centred cubic structure?
A.
52%
B.
68%
C.
74%
D.
84%
Correct Answer:
68%
Explanation:
The atoms occupy approximately 68% of the volume in a body-centred cubic unit cell.
7. How many corner atoms contribute to a single body-centred cubic unit cell in total?
A.
1 atom
B.
2 atoms
C.
4 atoms
D.
8 atoms
Correct Answer:
1 atom
Explanation:
Each corner atom is shared by eight unit cells, so each contributes one-eighth. With eight corners, the total contribution is 8 × 1/8 = 1 atom.
8. Which of the following metals commonly has a body-centred cubic structure?
A.
Copper
B.
Aluminium
C.
Sodium
D.
Silver
Correct Answer:
Sodium
Explanation:
Sodium is a common example of a metal that crystallizes in the body-centred cubic structure.
9. What is the number of nearest neighbours for an atom in a body-centred cubic lattice?
A.
4
B.
6
C.
8
D.
10
Correct Answer:
8
Explanation:
Each atom in a body-centred cubic lattice has eight nearest neighbours at equal distance.
10. Which statement correctly describes the arrangement of atoms in a body-centred cubic unit cell?
A.
Atoms occur only at the face centres
B.
Atoms occur at the corners and one atom occurs at the body centre
C.
Atoms occur only along the edges
D.
One atom occurs at each face centre and none at the corners
Correct Answer:
Atoms occur at the corners and one atom occurs at the body centre
Explanation:
A body-centred cubic unit cell contains atoms at all eight corners and one additional atom at the centre of the cube.
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