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JEE Advanced2020ChemistrySolid StateActual

The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the correct statement(s).

Options

  1. AThe empirical formula of the compound is MX .
  2. BThe cation M and anion X have different coordination geometries.
  3. CThe ratio of M - X bond length to the cubic unit cell edge length is 0 . 866
  4. DThe ratio of the ionic radii of cation M to anion X is 0 . 414

Correct answer

A. The empirical formula of the compound is MX .

Step-by-step solution

M 2 × 1 2 X 4 × 1 4 = MX d 2 = a 2 2 + a 2 2 d 2 = a 2 2 + a 2 4 = 3 a 2 4 d 2 a 2 = 3 4 d a = 3 2 = 1 . 732 2 = 0 . 866 r + r - = 0 . 732

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