Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main2006ChemistrySolid StateActual

Total volume of atoms present in a face-centre cubic unit cell of a metal is ( r is atomic radius)

Options

  1. A20 3 r^3
  2. B24 3 r^3
  3. C12 3 r^3
  4. D16 3 r^3

Correct answer

D. 16 3 r^3

Step-by-step solution

aligned V & =n ( 4 3 r^3 ) & =4 ( 4 3 r^3 ) & = 16 3 r^3 aligned

Practice Solid State on Quantrex Academy →

More from Solid State

The density (in g cm ⁻³ ) of the metal which forms a cubic close packed (ccp) lattice with an axial distance (edge length) equal to 400 pm is . Use: Atomic mass of metal =105.6 amu 2025Atoms of metals x , y and z form face-centred cubic (fcc) unit cell of edge length L x , body-centred cubic (bcc) unit cell of edge length L y , and simple cubic unit cell of edge 2023Which of the following expressions is correct in case of a CsCl unit cell (edge length ‘ a ’) ? 2023Sodium metal crystallises in a body centred cubic lattice with unit cell edge length of 4 Å . The radius of sodium atom is _ _ _ × 10 - 1 Å . (Nearest integer) 2023An atomic substance A of molar mass 12 g mol – 1 has a cubic crystal structure with edge length of 300 pm . The no. of atoms present in one unit cell of A is (Nearest integer 2023The correct relationships between unit cell edge length ‘ a ’ and radius of sphere ‘ r ’ for face-centred and body-centred cubic structures respectively are 2023Number of crystal systems from the following where body centred unit cell can be found, is _____. Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic 2023A 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 form 2023 Full Solid State list All JEE Main PYQs