Solid State — JEE Advanced PYQs

The density (in $\mathrm{g}{\mathrm{cm}}^{-3}$) 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 and Avogadro's constant $=6\times 10^{23}{\mathrm{mol}}^{-1}$

In a metal deficient oxide sample, ${\mathbf{M}}_{\mathbf{x}}{\mathbf{Y}}_2{\mathbf{O}}_4$ ($\mathbf{M}$ and $\mathbf{Y}$ are metals), $\mathbf{M}$ is present in both +2 and +3 oxidation states and $\mathbf{Y}$ is in +3 oxidation state. If the fraction …

Atoms of metals $\mathrm{x},\mathrm{y}$, and z form face-centred cubic (fcc) unit cell of edge length ${\mathrm{L}}_{\mathrm{x}}$, body-centred cubic (bcc) unit cell of edge length ${\mathrm{L}}_{\mathrm{y}}$, and simple cubic unit cell of edge length …

Atom X occupies the fcc lattice sites as well as alternate tetrahedral voids of the same lattice. The packing efficiency (in %) of the resultant solid is closest to

For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown for clarity), the packing fraction is approximately (packing fraction = $\frac{\text{Packing efficiency}}{100}$)

The cubic unit cell structure of a compound containing cation M and anion X is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the correct statement(s).

Consider an ionic solid MX with NaCl structure. Construct a new structure (Z) whose unit cell is constructed from the unit cell of MX following the sequential instructions given below. Neglect the charge balance.

(i) Remove all the anions (X) except the central one
(ii) Replace …

A crystalline solid of a pure substance has a face-centred cubic structure with a cell edge of 400 pm. If the density of the substance in the crystal is $8{\mathrm{g}\mathrm{cm}}^{-3}$, then the number of atoms present in 256 g of the crystal is $N\times 10^{24}$. The value of $N$ …

The CORRECT statement(s) for cubic close packed (ccp) three dimensional structure is(are)

If the unit cell of a mineral has cubic close packed (ccp) array of oxygen atoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedral holes occupied by magnesium ions, m and n, respectively, are

The arrangement of $X^{-}$ ions around $A^{+}$ ion in solid AX is given in the figure (not drawn to scale). If the radius of $X^{-}$ is $250pm$, the radius of $A^{+}$ is

A compound ${\mathrm{M}}_{\mathrm{p}}{\mathrm{X}}_{\mathrm{q}}$ has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound is

The number of hexagonal faces that are present in a truncated octahedron is

The packing efficiency of the two-dimensional square unit cell shown below is

Silver (atomic weight $=108\mathrm{g}{\mathrm{mol}}^{-1}$ ) has a density of $10.5\mathrm{g}{\mathrm{cm}}^{-3}$. The number of silver atoms on a surface of area $10^{-12}{\mathrm{m}}^2$ can be expressed in scientific notation as $\mathrm{y}\times 10^{\mathrm{x}}$. …

In hexagonal systems 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 c …

STATEMENT-1 : Band gap in germanium is small.
because
STATEMENT-2 : The energy spread of each germanium atomic energy level is infinitesimally small.

Match the crystal system/unit cells mentioned in Column I with their characteristic features mentioned in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 × 4 matrix given in the ORS.
| (A) simple cubi …