JEE Main
Chemistry
Solid State
Previous Years Questions

## Numerical

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 $$2.5\,\ma... Iron oxide FeO, crystallises in a cubic lattice with a unit cell edge length of 5.0 Å. If density of the \mathrm{FeO} in the crystal is 4.0 \mathrm... A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol of it is _________$$\times10^{21}$$(Nearest integer). (... Ionic radii of cation$$\mathrm{A}^{+}$$and anion$$\mathrm{B}^{-}$$are 102 and$$181 \,\mathrm{pm}$$respectively. These ions are allowed to crysta... Metal$$\mathrm{M}$$crystallizes into a fcc lattice with the edge length of$$4.0 \times 10^{-8} \mathrm{~cm}$$. The atomic mass of the metal is ____... An element M crystallises in a body centred cubic unit cell with a cell edge of$$300 \,\mathrm{pm}$$. The density of the element is$$6.0 \mathrm{~g}...
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 ...
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 ...
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...
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...
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 v...
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...
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 t...
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 Neares...
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. (R...
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 crys...
The number of octahedral voids per lattice site in a lattice is _________. (Rounded off to the nearest integer)
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. T...
The coordination number of an atom in a body-centered cubic structure is _______. [Assume that the lattice is made up of atoms.]
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 ...

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 $$\frac{1}{3... An element X has a body centred cubic (bcc) structure with a cell edge of 200 pm. The density of the element is 5 g cm$$-$$3. The number of atoms pres... The incorrect statement about the imperfections in solids is : Two statements are given below : Statement I : The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with o... Given below are two statements.Statement I : Frenkel defects are vacancy as well as interstitial defects.Statement II : Frenkel defect leads to colour... Select the correct statements(A) Crystalline solids have long range order.(B) Crystalline solids are isotropic(C) Amorphous solid are sometimes called... The parameters of the unit cell of a substance are a = 2.5, b = 3.0, c = 4.0,$$\alpha$$= 90$$^\circ$$,$$\beta$$= 120$$^\circ$$,$$\gamma$$= 90$$^...
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 :
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 for...
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 v...
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...
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...
Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?
The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respectively :
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 th...
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...
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 ce...
Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, while oxygen atoms occupy all the tetrahedral voids, The structure of b...
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 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 s...
A compound of formula A2B3 has the hcp lattice. Which atom forms the hcp lattice and what fraction of tetrahedral voids is occupied by the other atoms...
Which premitive unit cell has unequal edge lengths (a $$\ne$$ b $$\ne$$ c) and all axial angles different from 90o ?
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...
Which type of ‘defect’ has the presence of cations in the interstitial sites?
All of the following share the same crystal structure except :
Which of the following arrangements shows the schematic alignment of magnetic moments of antiferromagnetic substance ?
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...
Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 Å . 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 M0.98O. Metal M, present as M2+ and M3+ in its oxide. Fraction of the metal which exists as...
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 ...
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
Percentages 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 2/3rd 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 form...
What type of crystal defect is indicated in the diagram below? ...
How many unit cells are present in a cubeshaped ideal crystal of NaCl of mass 1.00 g? [Atomic masses: Na = 23, Cl = 35.5]
Na and Mg crystallize in BCC and FCC type crystals respectively, then the number of atoms of Na and Mg present in the unit cell of their respective cr...
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