KCET2023ChemistrySolid State
A metal crystallises in a body centred cubic lattice with the metallic radius 3 . The volume of the unit cell in m ^3 is
Options
- A64 10⁻²⁹
- B4 10⁻²⁹
- C6.4 10⁻²⁹
- D4 10⁻¹⁰
Correct answer
C. 6.4 10⁻²⁹
Step-by-step solution
r= 3 = 3 10⁻¹⁰ ~m For bcc, aligned & r= 3 a 4 & a= 4 r 3 = 4 3 10⁻¹⁰ 3 =4 10⁻¹⁰ & a^3=64 10⁻³⁰=6.4 10⁻²⁹ ~m ^3 aligned Thus, the volume of the unit cell is 6.4 10⁻²⁹ ~m ^3 .