Solid State PYQs - Last 5 Years

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 th...

Number of crystal systems from the following where body centred unit cell can be found, is ____________.
Cubic, tetragonal, orthorhombic, hexagonal, rhombohedral, monoclinic, triclinic

Iron oxide FeO, crystallises in a cubic lattice with a unit cell edge length of 5.0 Å. If density of the $\mathrm{FeO}$ in the crystal is $4.0 \mathrm{~g} \mathrm{~cm}^{-3}$, then the number of $\mathrm{FeO}$ units present per unit cell 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 \(\mathrm{N_A=6.02\times10^{23}}\))

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 :

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 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 met...

Which of the following expressions is correct in case of a $\mathrm{CsCl}$ unit cell (edge length 'a')?

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)...

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

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, NA = 6.0 $$\t...

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 \(\mathrm{B}^{-}\). $$...

The incorrect statement about the imperfections in solids is :

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...

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 : $$\mathr...

Metal deficiency defect is shown by Fe0.93O. 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 Fe0.93O crystals is __________. (Nearest ...

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 AxBy. The value of x is ____________. [nearest ...

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 : NA = 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)

The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the octahedral sites in AxB. The value of x is _____________. (Integer answer)

The parameters of the unit cell of a 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 solid are sometimes called pseudo solids.(D) Amorphous solids soften over a range of temperatures.(E) Amorphous soli...

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

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 s...

The unit cell of copper corresponds to a face centered cube of edge length 3.596 \(\mathop A\limits^o\) with one copper atom at each lattice point. The calculated density of copper in kg/m3 is ___________. [Molar mass of Cu : 63.54 g; Avog...

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

A copper complex crystallising 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 7.62 g cm\(-\)3. The molar mass of copper complex is ____...

Given below are two statements. One is labelled as Assertion A nd 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.Ch...

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...

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 :

KBr is doped with 10\(-\)5 mole percent of SrBr2. The number of cationic vacancies in 1g of KBr crystal is ____________ 1014. (Round off to the Nearest Integer).[Atomic Mass : K : 39.1 u, Br : 79.9 u NA = 6.023 \(\times\) 1023]

A certain element crystallises in a bcc lattice of unit cell edge length 27\(\mathop A\limits^o\). If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cel in \(\mathop A\limits^o\) wi...

Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The total number of voids in 0.581 g of Ga is __________ \(\times\) 1021. (Round off to the Nearest Integer). [Given : NA = 6.023 \(\times\) 1023]

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

A crystal is made up of metal ions 'M1' and 'M2'
and oxide ions. Oxide ions form a ccp lattice
structure. The cation 'M1' occupies 50% of
octahedral voids and the cation 'M2' occupies
12.5% of tetrahedral voids of oxide lattice. The
oxidati...

A diatomic molecule X2
has a body-centred cubic
(bcc) structure with a cell edge of 300 pm. The
density of the molecule is 6.17 g cm–3. The number
of molecules present in 200 g of X2
is :
(Avogadro constant (N
A) = 6 \(\times\) 1023 mol...

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 kg mol-1 forms a cubic unit cell with edge length 405 pm. If its
density is 2.7 \(\times\) 103
kg m-3, the radius of the element is approximately ______ \(\times\) 10-12 m (to the
neares...

At 100oC, copper (Cu) has FCC unit cell structure with cell edge length of x \(\mathop A\limits^o\). What is the approximate density of Cu (in g cm\(-\)3) at this temperature?
[Atomic Mass of Cu = 63.55 u]

10 mL of 1mM surfactant solution forms a
monolayer covering 0.24 cm2 on a polar
substrate. If the polar head is approximated as
cube, what is its edge length?

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 :

0.27 g of a long chain fatty acid was dissolved
in 100 cm3 of hexane. 10 mL of this solution
was added dropwise to the surface of water in
a round watch glass. Hexane evaporates and a
monolayer is formed. The distance from edge
to centre of...

Consider the bcc unit cells of the solids 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
efficienc...

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 :

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

A solid having density of 9\(\times\)103 kg m–3 forms face centred cubic crystals of edge length \(200\sqrt 2\) pm. What is the molar mass of the solid?
[Avogadro constant \(\cong\) 6 \(\times\) 1023 mol–1
, \(\pi\) \(\cong\) 3]

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

Which premitive unit cell has unequal edge lengths (a \(\ne\) b \(\ne\) c) and all axial angles different from 90o?