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If a is the length of unit cell, then which one is correct relationship?
  • a)
    For simple cubic lattice, radius of metal atom
    = a/2
  • b)
    For bcc lattice, radius of metal atom =
    √3/4a
  • c)
    For fcc lattice, radius of metal atom= a/2√2
  • d)
    All of the above
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
If a is the length of unit cell, then which one is correct relationshi...
Sqrt(3)a/4

The correct relationship is b) For bcc lattice, radius of metal atom = sqrt(3)a/4.

For simple cubic lattice, the radius of the metal atom is equal to half the length of the unit cell, which can be represented as r = a/2.

For bcc lattice, the metal atom is located at the body center and touches eight atoms at the corners of the cube. The diagonal of the cube is equal to sqrt(3)a, and the radius of the metal atom can be calculated using the Pythagorean theorem:

r = (sqrt(3)a/2) / 2 = sqrt(3)a/4.
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Community Answer
If a is the length of unit cell, then which one is correct relationshi...
Yes correct option d
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If a is the length of unit cell, then which one is correct relationship?a)For simple cubic lattice, radius of metal atom= a/2b)For bcc lattice, radius of metal atom =√3/4ac)For fcc lattice, radius of metal atom=a/2√2d)All of the aboveCorrect answer is option 'D'. Can you explain this answer?
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If a is the length of unit cell, then which one is correct relationship?a)For simple cubic lattice, radius of metal atom= a/2b)For bcc lattice, radius of metal atom =√3/4ac)For fcc lattice, radius of metal atom=a/2√2d)All of the aboveCorrect answer is option 'D'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about If a is the length of unit cell, then which one is correct relationship?a)For simple cubic lattice, radius of metal atom= a/2b)For bcc lattice, radius of metal atom =√3/4ac)For fcc lattice, radius of metal atom=a/2√2d)All of the aboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a is the length of unit cell, then which one is correct relationship?a)For simple cubic lattice, radius of metal atom= a/2b)For bcc lattice, radius of metal atom =√3/4ac)For fcc lattice, radius of metal atom=a/2√2d)All of the aboveCorrect answer is option 'D'. Can you explain this answer?.
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