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Solid State · Chemistry · JEE Main

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MCQ (Single Correct Answer)

JEE Main 2023 (Online) 15th April Morning Shift
Which of the following expressions is correct in case of a $\mathrm{CsCl}$ unit cell (edge length 'a')?
JEE Main 2023 (Online) 10th April Evening Shift
The correct relationships between unit cell edge length '$$a$$' and radius of sphere '$$r$$' for face-centred and body-centred cubic structures respec...
JEE Main 2023 (Online) 6th April Morning Shift
A compound is formed by two elements $$\mathrm{X}$$ and $$\mathrm{Y}$$. The element $$\mathrm{Y}$$ forms cubic close packed arrangement and those of e...
JEE Main 2023 (Online) 1st February Morning Shift
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? ...
JEE Main 2023 (Online) 25th January Morning Shift
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 $$\frac{1}{3...
JEE Main 2022 (Online) 30th June Morning Shift
An element X has a body centred cubic (bcc) structure with a cell edge of 200 pm. The density of the element is 5 g cm$$-$$3. The number of atoms pres...
JEE Main 2022 (Online) 28th June Morning Shift
The incorrect statement about the imperfections in solids is :
JEE Main 2021 (Online) 26th August Morning Shift
Given below are two statements.Statement I : Frenkel defects are vacancy as well as interstitial defects.Statement II : Frenkel defect leads to colour...
JEE Main 2021 (Online) 27th July Evening Shift
Select the correct statements(A) Crystalline solids have long range order.(B) Crystalline solids are isotropic(C) Amorphous solid are sometimes called...
JEE Main 2021 (Online) 27th July Morning Shift
The parameters of the unit cell of a substance are a = 2.5, b = 3.0, c = 4.0, $$\alpha$$ = 90$$^\circ$$, $$\beta$$ = 120$$^\circ$$, $$\gamma$$ = 90$$^...
JEE Main 2021 (Online) 20th July Morning Shift
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 h...
JEE Main 2021 (Online) 18th March Evening Shift
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 :
JEE Main 2021 (Online) 18th March Morning Shift
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...
JEE Main 2020 (Online) 6th September Evening Slot
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...
JEE Main 2020 (Online) 5th September Evening Slot
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...
JEE Main 2020 (Online) 5th September Morning Slot
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...
JEE Main 2020 (Online) 8th January Evening Slot
Which of the following compounds is likely to show both Frenkel and Schottky defects in its crystalline form?
JEE Main 2019 (Online) 12th April Evening Slot
The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic structure are, respectively :
JEE Main 2019 (Online) 12th April Morning Slot
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...
JEE Main 2019 (Online) 9th April Evening Slot
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...
JEE Main 2019 (Online) 8th April Evening Slot
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 wat...
JEE Main 2019 (Online) 8th April Evening Slot
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...
JEE Main 2019 (Online) 8th April Morning Slot
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...
JEE Main 2019 (Online) 11th January Evening Slot
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 '...
JEE Main 2019 (Online) 11th January Morning Slot
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...
JEE Main 2019 (Online) 10th January Evening Slot
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...
JEE Main 2019 (Online) 10th January Morning Slot
Which premitive unit cell has unequal edge lengths (a $$ \ne $$ b $$ \ne $$ c) and all axial angles different from 90o?
JEE Main 2019 (Online) 9th January Evening Slot
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$$...
JEE Main 2018 (Offline)
Which type of ‘defect’ has the presence of cations in the interstitial sites?
JEE Main 2018 (Online) 15th April Evening Slot
All of the following share the same crystal structure except :
JEE Main 2018 (Online) 15th April Morning Slot
Which of the following arrangements shows the schematic alignment of magnetic moments of antiferromagnetic substance ?
JEE Main 2017 (Offline)
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...
JEE Main 2015 (Offline)
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 :
JEE Main 2014 (Offline)
CsCl crystallises in body centred cubic lattice. If ‘a’ is its edge length then which of the following expressions is correct?
JEE Main 2013 (Offline)
Which of the following exists as covalent crystals in the solid state?
AIEEE 2012
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 :
AIEEE 2011
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 ...
AIEEE 2010
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 :
AIEEE 2010
Percentages of free space in cubic close packed structure and in body centred packed structure are respectively :
AIEEE 2009
Copper crystallizes in fcc with a unit cell length of 361 pm. What is the radius of copper atom?
AIEEE 2008
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 :
AIEEE 2006
Total volume of atoms present in a face-centre cubic unit cell of a metal is (r is atomic radius) :
AIEEE 2005
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...
AIEEE 2004
What type of crystal defect is indicated in the diagram below? ...
AIEEE 2003
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]
AIEEE 2002
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...

Numerical

JEE Main 2023 (Online) 13th April Evening Shift
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 ______...
JEE Main 2023 (Online) 11th April Morning Shift
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 ...
JEE Main 2023 (Online) 6th April Evening Shift
Number of crystal systems from the following where body centred unit cell can be found, is ____________. Cubic, tetragonal, orthorhombic, hexagonal, r...
JEE Main 2023 (Online) 1st February Evening Shift
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 $$2.5\,\ma...
JEE Main 2023 (Online) 30th January Evening Shift
Iron oxide FeO, crystallises in a cubic lattice with a unit cell edge length of 5.0 Å. If density of the $\mathrm{FeO}$ in the crystal is $4.0 \mathrm...
JEE Main 2023 (Online) 29th January Evening Shift
A metal M forms hexagonal close-packed structure. The total number of voids in 0.02 mol of it is _________ $$\times$$ $$10^{21}$$ (Nearest integer). (...
JEE Main 2022 (Online) 29th July Morning Shift
Ionic radii of cation $$\mathrm{A}^{+}$$ and anion $$\mathrm{B}^{-}$$ are 102 and $$181 \,\mathrm{pm}$$ respectively. These ions are allowed to crysta...
JEE Main 2022 (Online) 28th July Evening Shift
Metal $$\mathrm{M}$$ crystallizes into a fcc lattice with the edge length of $$4.0 \times 10^{-8} \mathrm{~cm}$$. The atomic mass of the metal is ____...
JEE Main 2022 (Online) 28th July Morning Shift
An element M crystallises in a body centred cubic unit cell with a cell edge of $$300 \,\mathrm{pm}$$. The density of the element is $$6.0 \mathrm{~g}...
JEE Main 2022 (Online) 27th June Morning Shift
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 ...
JEE Main 2022 (Online) 26th June Evening Shift
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 ...
JEE Main 2022 (Online) 25th June Morning Shift
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...
JEE Main 2022 (Online) 24th June Morning Shift
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...
JEE Main 2021 (Online) 31st August Evening Shift
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...
JEE Main 2021 (Online) 22th July Evening Shift
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...
JEE Main 2021 (Online) 20th July Evening Shift
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...
JEE Main 2021 (Online) 17th March Evening Shift
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...
JEE Main 2021 (Online) 16th March Evening Shift
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...
JEE Main 2021 (Online) 16th March Morning Shift
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...
JEE Main 2021 (Online) 26th February Evening Shift
The number of octahedral voids per lattice site in a lattice is _________. (Rounded off to the nearest integer)
JEE Main 2021 (Online) 25th February Evening Shift
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...
JEE Main 2021 (Online) 24th February Morning Shift
The coordination number of an atom in a body-centered cubic structure is _______. [Assume that the lattice is made up of atoms.]
JEE Main 2020 (Online) 3rd September Morning Slot
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 ...
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