Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Advanced2008ChemistrySolid StateActual

Paragraph: In hexagonal system of crystals, a frequently encountered arrangement of atoms is described as a hexagonal prism. Here, the top and bottom of the cell are regular hexagons and three atoms are sandwiched in between them. A space-filling model of this structure, called hexagonal close-packed (HCP), is constituted of a sphere on a flat surface surrounded in the same plane by six identical spheres as closely a

Options

  1. A24 2 r^3
  2. B16 2 r^3
  3. C12 2 r^3
  4. D64 3 3 r^3

Correct answer

A. 24 2 r^3

Step-by-step solution

Height of unit cell = 2 4 4 r aligned & Base area =6 3 4 (2 r)^2 & Volume = 6 3 4 (2 r)^2 2 3 4 r=24 2 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 Advanced PYQs