Solid State — JEE Main PYQs

Which of the following material is not a semiconductor.

The values of conductivity of some materials at $298.15{\mathrm{K}}^{-1}{\mathrm{Sm}}^{-1}$ are $2.1\times 10^3$, $1.0\times 10^{-16}$, $1.2\times 10$, $3.91$, $1.5\times 10^{-2}$, $1\times 10^{-7}$, $1.0\times 10^3$. The number of conductors among the ma …

A 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 formula of the compound?

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

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

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

An atomic substance A of molar mass $12\mathrm{g}{\mathrm{mol}}^{-1}$ 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)

Given the density of A is $3.0\mathrm{g}{\mathrm{mL}}^{-1}$ and …

Which one of the following pairs is an example of polar molecular solids?

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

Which of the following expressions is correct in case of a CsCl unit cell (edge length'a')?

Which of the following represents the lattice structure of ${\mathrm{A}}_{0.95}\mathrm{O}$ containing ${\mathrm{A}}^{2+},{\mathrm{A}}^{3+}$ and ${\mathrm{O}}^{2-}$ ions?
$\odot {\mathrm{A}}^{2+}\odot {\mathrm{A}}^{3+}\odot {\mathrm{O}}^{2-}$
A. (see structure)
B. (see structure)
C. …

When ${\mathrm{Fe}}_{0.93}\mathrm{O}$ is heated in presence of oxygen, it converts to ${\mathrm{Fe}}_2{\mathrm{O}}_3$. The number of correct statement/s from the following is ______.
A. The equivalent weight of ${\mathrm{Fe}}_{0.93}\mathrm{O}$ is …

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 $\frac{2}{3}$ of the total faces. The empirical formula of the compound is

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 ${\mathrm{N}}_{\mathrm{A}}=6.02\times 10^{23}$)

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 Å respectively. The ratio of densities of lattices fcc to bcc for the metal M is ______. (Nearest integer)

A sample of a metal oxide has formula ${\mathrm{M}}_{0.83}{\mathrm{O}}_{1.00}$. The metal M can exist in two oxidation states +2 and +3. In the sample of ${\mathrm{M}}_{0.83}{\mathrm{O}}_{1.00}$, the percentage of metal ions existing in +2 oxidation state is ____ % (nearest in …

Iron oxide FeO, crystallises in a cubic lattice with a unit cell edge length of $5.0\mathring{A}$. If density of the FeO in the crystal is $4.0\mathrm{g}{\mathrm{cm}}^{-3}$, then the number of FeO units present per unit cell is ____ (Nearest integer)

Given : Molar mass of Fe a …

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

Metal M crystallizes into a FCC lattice with the edge length of 4.0 × 10⁻⁸ cm. The atomic mass of the metal is _____ g/mol. (Nearest integer).
(Use: Nₐ = 6.02 × 10²³ mol⁻¹, density of metal, M = 9.03 g cm⁻³)

Given below are two statements.

Statement I: $\mathrm{O}{}_2$, $\mathrm{Cu}{}^{2+}$ and $\mathrm{Fe}{}^{3+}$ are weakly attracted by magnetic field and are magnetized in the same direction as magnetic field.
Statement II : NaCl and $\mathrm{H}{}_2\mathrm{O}$ are weakly magnetized in opposite direction to …

The incorrect statement about the imperfections in solids is :

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 $A_x{B}_y$. The value of $x$ is ______. [nearest integer]

Metal deficiency defect is shown by ${\mathrm{Fe}}_{0.93}\mathrm{O}$. In the crystal, some ${\mathrm{Fe}}^{2+}$ cations are missing and loss of positive charge is compensated by the presence of ${\mathrm{Fe}}^{3+}$ ions. The percentage of ${\mathrm{Fe}}^{2+}$ ions in the …

Ionic radii of cation ${\mathrm{A}}^{+}$ and anion ${\mathrm{B}}^{-}$ are 102 and 181 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 l …

Atoms of element X form hcp lattice and those of element Y occupy 2/3 of its tetrahedral voids. The percentage of element X in the lattice is ______ (Nearest integer)

The distance between ${\mathrm{Na}}^{+}$and ${\mathrm{Cl}}^{-}$ions in solid NaCl of density $43.1\mathrm{g}{\mathrm{cm}}^{-3}$ is ____ ×
$10^{-10}\mathrm{m}$. (Nearest Integer)
(Given : ${\mathrm{N}}_{\mathrm{A}}=6.02\times 10^{23}{\mathrm{mol}}^{-1}$ )

The coordination number of an atom in a body-centered cubic structure is ____.
[Assume that the lattice is made up of atoms]

Given below are two statements.
Statement I: Frenkel defects are vacancy as well as interstitial defects.
Statement II: Frenkel defect leads to colour in ionic solids due to presence of F-centres.
Choose the most appropriate answer for the statements from the options given below:

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Sharp glass edge becomes smooth on heating it upto its melting point.
Reason R: The viscosity of glass decreases on melting.
Choose the most appropriate answer from …

Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where $50\%$ of the tetrahedral voids are also occupied by carbon atoms. The number of carbon atoms present per unit cell of diamond is ___ …

A copper complex crystallizing in a CCP lattice with a cell edge of 0.4518 nm has been revealed by employing X-ray diffraction studies. The density of a copper complex is found to be $7.26{\text{ g cm}}^{-3}$. The molar mass of copper complex is ______ ${\text{g mol}}^{-1}$.
(Neares …

Match items of List-I with those of List-II :

List-I (Property)
(a) Diamagnetism
(b) Ferrimagnetism
(c) Paramagnetism
(d) Antiferromagnetism

List-II (Example)
(i) MnO
(ii) ${\mathrm{O}}_2$
(iii) NaCl
(iv) ${\mathrm{Fe}}_3{\mathrm{O}}_4$

Choose the most appropriate answer …

The number of octahedral voids per lattice site in a lattice is ______ (Rounded off to the nearest integer)

The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the octahedral sites is ${\mathrm{A}}_{\mathrm{x}}\mathrm{B}$. The value of x is ______.

The parameters of the unit cell of substance are $a=2.5,b=3.0,c=4.0,\alpha =90^{\circ },\beta =120^{\circ },\gamma =90^{\circ }$. The crystal system of the substance is:

Select the correct statements.
(A) Crystalline solids have long range order.
(B) Crystalline solids are isotropic.
(C) Amorphous solids are sometimes called pseudo solids
(D) Amorphous solids soften over a range of temperatures.
(E) Amorphous solids have a definite heat of fusion …

A certain element crystallises in a bcc lattice of unit cell edge length 27 Å. If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cell in Å will be ____. (Round off to the nearest Integer).
[Assume each lattice point has a s …

Ga (atomic mass 70u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is ______ $\times 10^{21}$. (Round off to the nearest integer).
[Given : ${\mathrm{N}}_{\mathrm{A}}=6.023\times 10^{23}$]

KBr is doped with $10^{-5}$ mole percent of ${\mathrm{SrBr}}_2$. The number of cationic vacancies in 1 g of KBr crystal is ______ $\times 10^{14}$. (Round off to the nearest integer).
[Atomic Mass: K: $39.1\mathrm{u}$, Br: $79.9\mathrm{u}$, …

In a binary compound, atoms of element A form a hcp structure and those of element M occupy 2/3 of the tetrahedral voids of the hcp structure. The formula of the binary compound is:

A hard substance melts at high temperature and is an insulator in both solid and in molten state. This solid is most likely to be a/an:

Which of the following compound is likely to show both Frenkel and Schottky defects in its crystalline form?

'$X$' melts at low temperature and is a bad conductor of electricity in both liquid and solid state. $X$ is:

An element crystallises in a face-centred cubic (fcc) unit cell with cell edge a. The distance between the centres of two nearest octahedral voids in the crystal lattice is:

An element with molar mass $2.7\times 10^{-2}\mathrm{kg}{\mathrm{mol}}^{-1}$ forms a cubic unit cell with edge length 405 pm . If its density is $2.7\times 10^3\mathrm{kg}{\mathrm{m}}^{-3}$, the radius of the element is approximately
____ …

A crystal is made up of metal ions ' ${\mathrm{M}}_1$ ' and ' ${\mathrm{M}}_2$ ' and oxide ions. Oxide ions form a ccp lattice structure. The cation ' ${\mathrm{M}}_1$ ' occupies $50\%$ of octahedral voids and the cation ' ${\mathrm{M}}_2$ ' occupies $12.5\%$ of tet …

A diatomic molecule ${\mathrm{X}}_2$ has a body centered cubic (bcc). The density of the molecule is $6.17\mathrm{g}{\mathrm{cm}}^{-3}$. The number of molecules present in 200 g of ${\mathrm{X}}_2$ is: (Avogadro constant …

Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids. The structure of bimetallic oxide is

Consider the bcc unit cells of the solid 1 and 2 with the position of atoms as shown below. The radius of atom B is twice that of atom A . The unit cell edge length is $50\%$ more in solid 2 than in 1 . What is the approximate packing efficiency in solid 2 ?

Solid 1

Solid 2

Which primitive unit cell has unequal edge length $(a\ne b\ne c)$ and all axial angles different from $90^{\circ }$ ?

The radius of the largest sphere which fits properly at the centre of the edge of a body centered cubic unit cell is: (Edge length is represented by ' $a$ ')