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MHT CET2019Morning ShiftChemistrySolid StateActual

If a metal crystallises in bcc structure with edge length of unit cell 4.29 × 10 - 8 cm the radius of metal atom is

Options

  1. A3.2 × 10 - 7 c m
  2. B1.86 × 10 - 8 c m
  3. C1.07 × 10 - 7 c m
  4. D1.07 × 10 - 8 c m

Correct answer

B. 1.86 × 10 - 8 c m

Step-by-step solution

The relation between edge length and radius of an atom in a bcc structure is related as: r = 3 / 4 α Given, a = 4.29 × 10 - 8 c m For bcc structure, r = 3 4 a = 3 4 × 4.29 × 10 - 8 c m = 1.857 × 10 - 8 c m ≃ 1.86 × 10 - 8 c m

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