MHT CET Medical202625 April 2026Morning ShiftChemistrySolid StateActual
Which of the following formulae is used to find total volume of atoms present in face-centred cubic unit cell?
Options
- A20 3 r^3
- B24 3 r^3
- C12 3 r^3
- D16 3 r^3
Correct answer
D. 16 3 r^3
Step-by-step solution
In a face-centred cubic (fcc) unit cell, the total number of atoms per unit cell is Z = 4 . Assuming each atom is a sphere of radius r , the volume of one atom is 4 3 r^3 . Total volume of atoms present in the fcc unit cell = Z 4 3 r^3 . Total volume = 4 4 3 r^3 = 16 3 r^3 . Answer: 16 3 r^3