Solid State · Chemistry · JEE Main

The correct relationships between unit cell edge length '$$a$$' and radius of sphere '$$r$$' for face-centred and body-centred cubic structures respectively are :

A compound is formed by two elements $$\mathrm{X}$$ and $$\mathrm{Y}$$. The element $$\mathrm{Y}$$ forms cubic close packed arrangement and those of element $$\mathrm{X}$$ occupy one third of the tetrahedral voids. What is the formula of the compound?

Which of the following represents the lattice structure of $$\mathrm{A_{0.95}O}$$ containing $$\mathrm{A^{2+},A^{3+}}$$ and $$\mathrm{O^{2-}}$$ ions?

A cubic solid is made up of two elements X and Y. Atoms of X are present on every alternate corner and one at the center of cube. Y is at $$\frac{1}{3}^{\mathrm{rd}}$$ of the total faces. The empirical formula of the compound is :

An element X has a body centred cubic (bcc) structure with a cell edge of 200 pm. The density of the element is 5 g cm^$$-$$3. The number of atoms present in 300 g of the element X is _______________.

Given : Avogadro constant, N_A = 6.0 $$\times$$ 10²³ mol^$$-$$1.

The incorrect statement about the imperfections in solids is :

Sodium metal crystallizes in a body centred cubic lattice with unit cell edge length of $$4~\mathop A\limits^o $$. The radius of sodium atom is __________ $$\times ~10^{-1}$$ $$\mathop A\limits^o $$ (Nearest integer)

An atomic substance A of molar mass $$12 \mathrm{~g} \mathrm{~mol}^{-1}$$ has a cubic crystal structure with edge length of $$300 ~\mathrm{pm}$$. The no. of atoms present in one unit cell of $$\mathrm{A}$$ is ____________. (Nearest integer)

Given the density of $$\mathrm{A}$$ is $$3.0 \mathrm{~g} \mathrm{~mL}^{-1}$$ and $$\mathrm{N}_{\mathrm{A}}=6.02 \times 10^{23} \mathrm{~mol}^{-1}$$

Number of crystal systems from the following where body centred unit cell can be found, is ____________.

Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic

A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge length of $$2.0$$ and $$2.5\,\mathop A\limits^o $$ respectively. The ratio of densities of lattices fcc to bcc for the metal M is ____________. (Nearest integer)

A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol of it is _________ $$\times$$ $$10^{21}$$ (Nearest integer).

(Given $$\mathrm{N_A=6.02\times10^{23}}$$)

Ionic radii of cation $$\mathrm{A}^{+}$$ and anion $$\mathrm{B}^{-}$$ are 102 and $$181 \,\mathrm{pm}$$ respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for $$\mathrm{B}^{-}$$. $$\mathrm{A}^{+}$$ is present in all octahedral voids. The edge length of the unit cell of the crystal AB is __________ pm. (Nearest Integer)

Metal $$\mathrm{M}$$ crystallizes into a fcc lattice with the edge length of $$4.0 \times 10^{-8} \mathrm{~cm}$$. The atomic mass of the metal is ____________ $$\mathrm{g} / \mathrm{mol}$$. (Nearest integer)

$$\left(\right.$$ Use : $$\mathrm{N}_{\mathrm{A}}=6.02 \times 10^{23} \mathrm{~mol}^{-1}$$, density of metal, $$\mathrm{M}=9.03 \mathrm{~g} \mathrm{~cm}^{-3}$$ )

An element M crystallises in a body centred cubic unit cell with a cell edge of $$300 \,\mathrm{pm}$$. The density of the element is $$6.0 \mathrm{~g} \mathrm{~cm}^{-3}$$. The number of atoms present in $$180 \mathrm{~g}$$ of the element is ____________ $$\times 10^{23}$$. (Nearest integer)

Metal deficiency defect is shown by Fe_0.93O. In the crystal, some Fe²⁺ cations are missing and loss of positive charge is compensated by the presence of Fe³⁺ ions. The percentage of Fe²⁺ ions in the Fe_0.93O crystals is __________. (Nearest integer)

In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is A_xB_y. The value of x is ____________. [nearest integer]

The distance between Na⁺ and Cl^$$-$$ ions in solid NaCl of density 43.1 g cm^$$-$$3 is _______________ $$\times$$ 10^$$-$$10 m. (Nearest Integer)

(Given : N_A = 6.02 $$\times$$ 10²³ mol^$$-$$1)

Atoms of element X form hcp lattice and those of element Y occupy $${2 \over 3}$$ of its tetrahedral voids. The percentage of element X in the lattice is ____________. (Nearest integer)