JEE · NEET Previous Year Question

A compound made of elements and form structure. Atoms of are at the corners and atoms of are present at the centres of faces of cube. What is the formula of the compound?

Topic: JEE PYQ

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

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

Correct answer: C

Solution

(c) : A face-centred cubic unit cell contains atoms at the corner and at the centre of all faces of the cube. There are total 8 corners and each contributes one-eighth to the unit cell. As, atoms are present at corners,
Total atoms in a unit cell
There are 6 face-centres and each contributes one-half to the unit cell. As, atoms are present at face-centres,
Total atoms in a unit cell
Thus, the formula of the compound is .

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