Question
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).
JEE Advanced
Chemistry
Solid State
2020
JEE Advanced 2020 (Paper 1)
JEE Advanced Chemistry Question (2020) — Solution
Options
- A. The empirical formula of the compound is MX .
- B. The cation M and anion X have different coordination geometries.
- C. The ratio of M - X bond length to the cubic unit cell edge length is 0 . 866
- D. The ratio of the ionic radii of cation M to anion X is 0 . 414
Answer
C. The ratio of M - X bond length to the cubic unit cell edge length is 0 . 866
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
Related: Chemistry — Solid State · All PYQ Banks