Solid State — JEE Main PYQs

An element has a face-centred cubic (fcc) structure with a cell edge of a. The distance between the centres of two nearest tetrahedral voids in the lattice is:

A solid having density of $9\times 10^3\mathrm{kg}{\mathrm{m}}^{-3}$ forms face centred cubic crystale of edge length $200\sqrt{2}\mathrm{pm}$. What is the molar mass of the solid?
[Avogadro constant $\cong 6\times 10^{23}$ and ${\mathrm{mol}}^{-1},\pi \cong 3$ ]

The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respectively :

At $100^{\circ }\mathrm{C}$, copper(Cu) has FCC unit cell structure with cell edge length $x\stackrel{\circ }{\mathrm{A}}$. What is the approximate density of $\mathrm{Cu}$ (in ${\mathrm{g}\mathrm{cm}}^{-3}$) at this temperature?
[Atomic mass of $\mathrm{Cu}=63.55\mathrm{u}$]

Which type of 'defect' has the presence of cations in the interstitial sites ?

A metal crystallises in a face centred cubic structure. If the edge length of its unit cell is ' a ', the closest approach between two atoms in metallic crystal will be :

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of $4.29\mathring{A}$. The radius of sodium atom is approximately:

CsCl crystallises in body centred cubic lattice. If 'a' is its edge length then which of the following expressions is correct?

Experimentally it was found that a metal oxide has formula ${\mathrm{M}}_{0.98}\mathrm{O}$. Metal M , is present as ${\mathrm{M}}^{2+}$ and ${\mathrm{M}}^{3+}$ in its oxide. Fraction of the metal which exists as ${\mathrm{M}}^{3+}$ would be:

Which of the following exists as covalent crystals in the solid state?

Lithium forms body centred cubic structure. The length of the side of its unit cell is 351 pm. Atomic radius of the lithium will be :

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre positions. If one atom of B is missing from one of the face centred points, the formula of the compound is :

The edge length of a face centered cubic cell of an ionic substance is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is

Percentage of free space in cubic close packed structure and in body centred packed structure are respectively

Copper crystallizes in fcc with a unit cell length of 361 pm . What is the radius of copper atom ?

In a compound atoms of element $Y$ from ccp lattice and those of element $X$ occupy $2/3^{\text{rd }}$ of tetrahedral voids. The formula of the compound will be

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

An ionic compound has a unit cell consisting of $A$ ions at the corners of a cube and $B$ ions on the centres of the faces of the cube. The empirical formula for this compound would be

What type of crystal defect is indicated in the diagram below?
${\mathrm{Na}}^{+}{\mathrm{Cl}}^{-}{\mathrm{Na}}^{+}{\mathrm{Cl}}^{-}{\mathrm{Na}}^{+}{\mathrm{Cl}}^{-}$
Cl □ ${\mathrm{Cl}}^{-}$ □ ${\mathrm{Na}}^{+}$ □ ${\mathrm{Na}}^{+}$ …

The soldiers of Napolean army while at Alps during freezing winter suffered a serious problem as regards to the tin buttons of their uniforms. White metallic tin buttons got converted to grey powder. This transformation is related to