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Which one of the following pairs is not correctly matched?
Space Lattice Relation between Atomic radius r and Edge element a
Space Lattice Relation between Atomic radius r and Edge element a
- a)Simple cubic structure : a2 = 4 r2
- b)Body-centred cubic structure : 3a2 = 16r2
- c)Triclinic : 2a2 = 3r2
- d)Face-centred cubic structure : a2 = 8r2
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which one of the following pairs is not correctly matched?Space Lattic...
Ans. (c)
Most Upvoted Answer
Which one of the following pairs is not correctly matched?Space Lattic...
Ans is C
for SC structure a=2r
for BCC √3a = 4r
for FCC. √2a = 4r
for triclinic lattice parameters a,b,c have different values.
for SC structure a=2r
for BCC √3a = 4r
for FCC. √2a = 4r
for triclinic lattice parameters a,b,c have different values.
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Which one of the following pairs is not correctly matched?Space Lattic...
Explanation:
The relation between the atomic radius (r) and edge length (a) for different crystal structures can be derived using the concept of space lattice.
Simple Cubic Structure:
In a simple cubic structure, each atom is located at the corners of the cube. The coordination number is 6 and the edge length is denoted by 'a'. The relation between the atomic radius and edge length is given by:
a^2 = 4r^2
Body-Centred Cubic Structure:
In a body-centred cubic structure, each atom is located at the corners of the cube and one atom is present at the body centre of the cube. The coordination number is 8 and the edge length is denoted by 'a'. The relation between the atomic radius and edge length is given by:
3a^2 = 16r^2
Triclinic Structure:
A triclinic crystal structure is the most general type of crystal structure and does not have any specific relation between the atomic radius and edge length. Therefore, the given relation 2a^2 = 3r^2 for a triclinic structure is not correctly matched.
Face-Centred Cubic Structure:
In a face-centred cubic structure, each atom is located at the corners and face centres of the cube. The coordination number is 12 and the edge length is denoted by 'a'. The relation between the atomic radius and edge length is given by:
a^2 = 8r^2
Conclusion:
The given relation for the triclinic structure, 2a^2 = 3r^2, is not correctly matched. The correct relation for the triclinic structure is not specified as it can have various values depending on the crystal lattice parameters.
The relation between the atomic radius (r) and edge length (a) for different crystal structures can be derived using the concept of space lattice.
Simple Cubic Structure:
In a simple cubic structure, each atom is located at the corners of the cube. The coordination number is 6 and the edge length is denoted by 'a'. The relation between the atomic radius and edge length is given by:
a^2 = 4r^2
Body-Centred Cubic Structure:
In a body-centred cubic structure, each atom is located at the corners of the cube and one atom is present at the body centre of the cube. The coordination number is 8 and the edge length is denoted by 'a'. The relation between the atomic radius and edge length is given by:
3a^2 = 16r^2
Triclinic Structure:
A triclinic crystal structure is the most general type of crystal structure and does not have any specific relation between the atomic radius and edge length. Therefore, the given relation 2a^2 = 3r^2 for a triclinic structure is not correctly matched.
Face-Centred Cubic Structure:
In a face-centred cubic structure, each atom is located at the corners and face centres of the cube. The coordination number is 12 and the edge length is denoted by 'a'. The relation between the atomic radius and edge length is given by:
a^2 = 8r^2
Conclusion:
The given relation for the triclinic structure, 2a^2 = 3r^2, is not correctly matched. The correct relation for the triclinic structure is not specified as it can have various values depending on the crystal lattice parameters.
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Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer?.
Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer?.
Solutions for Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
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Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer?, a detailed solution for Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of Which one of the following pairs is not correctly matched?Space Lattice Relation between Atomic radius r and Edge element aa)Simple cubic structure : a2 = 4 r2b)Body-centred cubic structure : 3a2 = 16r2c)Triclinic : 2a2 = 3r2d)Face-centred cubic structure : a2 = 8r2Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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