JEE · NEET Previous Year Question

A compound is formed by two elements X and Y. The element Y forms cubic close packed arrangement and those of element X occupy one third of the tetrahedral voids. What is the formula of the compound?

Topic: JEE PYQ

Answer: D. Full step-by-step solution below.

  1. A
  2. B
  3. C
  4. D

Correct answer: D

Solution

(d)
A compound is formed by two elements X and Y. The element Y forms a cubic close-packed (CCP) arrangement, and element X occupies one third of the tetrahedral voids.
In a CCP structure, there are 4 atoms of in a unit cell. This means there are 8 tetrahedral voids in the CCP structure.
Since X occupies one third of the tetrahedral voids, there are atoms of X in the formula unit.
The ratio of X to Y in the formula unit is . Multiplying both parts of the ratio by 3, we get .
So, the formula of the compound is

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