KCET2023ChemistrySolid State
If ' a ' stands for the edge length of the cubic systems. The ratio of radii in simple cubic, body centred cubic and face centred cubic unit cells is
Options
- A1 a: 3 a: 2 a
- B1 2 a: 3 4 a: 1 2 2 a
- C1 2 a: 3 2 a: 2 2 a
- D1 2 a: 3 a: 1 2 a
Correct answer
B. 1 2 a: 3 4 a: 1 2 2 a
Step-by-step solution
For simple cube, r= a 2 For bcc, r= a 3 4 For f c c, r= a 2 2 where, a= edge length, r= radius Thus, ratio of radii of the three unit cells will be 1 2 a: 3 4 a: 1 2 2 a