Solid State PYQs Set 5 (PDF)

Set 5 of 7 · Questions 121-150 of 184

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Mere Teacher · Previous Year Questions

JEE Main Chemistry · Solid State · Set 5 (Q121-150)

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121.
In chrysoberyl, a compound containing beryllium, aluminium and oxygen, oxide ions form cubic close packed structure. Aluminium ions occupy $\frac{1}{4}$ th of tetrahedral voids and Beryllium occupy $\frac{1}{4}$ th of octahedral voids. The formula of the compound is
1. (1) $BeAlO_{4}$
2. (2) $BeAl_{2} O_{4}$
3. (3) $Be_{2} AlO_{2}$
4. (4) $BeAlO_{2}$
122.
An element has a body centered cubic structure with a unit cell edge length of $400 pm$ . Atomic mass of an element is $24 g mol^{- 1}$ . What is the density of the element? $(N_{A} = 6 \times 10^{23} mol^{- 1})$
1. (1) $2.50 g cm^{- 3}$
2. (2) $1.80 g cm^{- 3}$
3. (3) $3.60 g cm^{- 3}$
4. (4) $1.25 g cm^{- 3}$
123.
An ionic compound has a unit cell consisting of A ions at the corners of a cube and B ions on the centers of the faces of the cube. The empirical formula for this compound would be
1. (1) $AB$
2. (2) $A_{2} B$
3. (3) $A B_{3}$
4. (4) $A_{3} B$
124.
Calculate the volume of unit cell if an element having molar mass $56 g mol^{- 1}$ that forms $bcc$ unit cells. $(ρ . N_{A} = 4.8 \times 10^{24} g cm^{- 3} mol^{- 1})$ ]
1. (1) $1.17 \times 10^{- 23} cm^{3}$
2. (2) $3.31 \times 10^{- 23} cm^{3}$
3. (3) $4.79 \times 10^{- 23} cm^{3}$
4. (4) $2.33 \times 10^{- 23} cm^{3}$
125.
At $T (K)$ , copper (atomic mass $= 63.5 u$ ) has fcc structure with an edge length of $x Å$ .The density of copper (in $g cm^{- 3}$ ) at that temperature approximately is $(N_{A} = 6.0 \times 10^{23} mol^{- 1})$
1. (1) $\frac{423}{x}$
2. (2) $\frac{4.23}{x ^{3}}$
3. (3) $\frac{423}{x ^{3}}$
4. (4) $\frac{212.5}{x ^{3}}$
126.
A compound $M_{P}$ $X_{q}$ has cubic close packing (ccp) arrangement of X. Its unit cell structure is shown below. The empirical formula of the compound is:
1. (1) $MX$
2. (2) $M X_{2}$
3. (3) $M_{2} X$
4. (4) $M_{5} X_{14}$
127.
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
1. (1) $a$
2. (2) $2 a$
3. (3) $\frac{a}{2}$
4. (4) $\frac{a}{2}$
128.
The arrangement of $X^{-}$ ions around $A^{+}$ ion in solid AX is given in the figure (not drawn to scale). If the radius of $X^{-}$ is 250 pm, the radius of $A^{+}$ is :
1. (1) $104 pm$
2. (2) $125 pm$
3. (3) $183 pm$
4. (4) $57 pm$
129.
How many of the following compounds show ferrimagnetism?
$Fe_{3} O_{4}; MgFe_{2} O_{4}; NiFe_{2} O_{4}; MnO; CrO_{2}$
1. (1) $1$
2. (2) $2$
3. (3) $3$
4. (4) $4$
130.
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 efficiency in solid 2?
1. (1) $45%$
2. (2) $75%$
3. (3) $90%$
4. (4) $65%$
131.
Which among the following solids is a non polar solid?
1. (1) $Hydrogen chloride$
2. (2) $Sulphur dioxide$
3. (3) $Water$
4. (4) $Carbon dioxide$
132.
At $10 0^{\circ} C$ , copper (Cu) has FCC unit cell structure with cell edge length of $x A ˚$ . What is the approximate density of Cu (in $g c m^{- 3}$ ) at this temperature ?
[Atomic Mass of Cu = 63.55 u]
1. (1) $\frac{205}{x ^{3}}$
2. (2) $\frac{105}{x ^{3}}$
3. (3) $\frac{211}{x ^{3}}$
4. (4) $\frac{422}{x ^{3}}$
133.
The correct statement(s) regarding defects in solids is(are)
1. (1) $Frenkel defect is usually favoured by a very small difference in the sizes of cation and anion.$
2. (2) $Frenkel defect is a dislocation defect.$
3. (3) $Trapping of an electron in the lattice leads to the formation of F-center.$
4. (4) $Schottky defects have no effect on the physical properties of solids.$
134.
Total volume of atoms present in a face-center cubic unit cell of a metals (r is atomic radius).
1. (1) $\frac{20}{3} π r^{3}$
2. (2) $\frac{24}{3} π r^{3}$
3. (3) $\frac{12}{3} π r^{3}$
4. (4) $\frac{16}{3} π r^{3}$
135.
$Match List I with List II (defects) (Examples)$
$List I$ $List II$
$A. Frenkel defects$ $1. FeO$
$B. Schottkey defects$ $2. NaCl$
$C. Vacancy defects$ $3. AgCl$
$D. Metal deficiency$ $4.Crystals with vacant$
$defects lattice sites. A B C D$
1. (1) $4321$
2. (2) $3241$
3. (3) $1234$
136.
Silicon doped with gallium forms
1. (1) $both n and p type semiconductor$
2. (2) $an intrinsic semiconductor$
3. (3) $p -type semiconductor$
4. (4) $n-type semiconductor.$
137.
Metallic lustre is due to
1. (1) $high density of metals$
2. (2) $high polish on the surface of metals$
3. (3) $reflection of light by mobile electrons$
4. (4) $chemical inertness of metals.$
138.
An example for network solid is
1. (1) $SiO_{2}$
2. (2) $MgO$
3. (3) $CaF_{2}$
4. (4) $ZnS$
139.
Pure silicon doped with phosphorus is
1. (1) $amorphous$
2. (2) $p-type semiconductor$
3. (3) $n-type semiconductor$
4. (4) $insulator$
140.
An example of covalent solid is
1. (1) $MgO$
2. (2) $Mg$
3. (3) $SiC$
4. (4) $CaF_{2}$
141.
An element (atomic mass $= 100 g / m o l$ ) having $b cc$ structure has unit cell edge 400 $p m$ . The density of element is
1. (1) $7.289 g / c m^{3}$
2. (2) $2.144 g / c m^{3}$
3. (3) $10.376 g / c m^{3}$
4. (4) $5.188 g / c m^{3}$
142.
The parameters of the unit cell of a substance are
$a = 2.5, b = 3.0, c = 4.0, α = 9 0^{0}, β = 12 0^{0}, γ = 9 0^{0}$
The crystal system of the substance is :
1. (1) $Hexagonal$
2. (2) $Orthorhombic$
3. (3) $Monoclinic$
4. (4) $Triclinic$
143.
Which of the following statements is not true about polymorphism?
1. (1) $Polymorphism occurring in elements is called allotropy.$
2. (2) $NaF and MgO are polymorphous compounds.$
3. (3) $Single substance that exists in two or more forms is said to be polymorphous.$
4. (4) $Fullerene is a polymorphic form of carbon.$
144.
$In a solid AB. A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is A_{x} B_{y} . The value of x is_______. [nearest integer]$
145.
$The coordination number of an atom in a body-centered cubic structure is ____ [Assume that the lattice is made up of atoms].$
146.
$An element M crystallises in a body centred cubic unit cell with a cell edge of 300 pm. The density of the element is 6.0 g c m^{- 3} . The number of atoms present in 180 g of the element is______x 1 0^{23} .(Nearest integer)$
147.
$Percentage of void space in AB solid having rock salt structure if \frac{r _{+}}{r _{-}} = \frac{1}{2} having cation anion contact. Given π = 3.15.$
148.
$Two elements A and B which form 0.15 moles of A_{2} B and A B_{3} type compounds. If both A_{2} B and A B_{3} weigh equally, then the atomic weight of A is _____times of atomic weight of B.$
149.
$Consider an ionic solid MX with NaCl structure. Construct a new structure (Z) whose unit cell is constructed from the unit cell of MX following the sequential instructions given below. Neglect the charge balance. (i) Remove all the anions (X) except the central one (ii) Replace all the face centered cations (M) by anions (X) (iii) Remove all the corner cations (M) (iv) Replace the central anion (X) with cation (M) The value of (\frac{number of anions}{number of catons}) in Z is ______$
150.
$Ionic radii of cation A^{+} and anion B^{-} are 102 and 181 pm respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for B^{-} . A^{+} is present in all octahedral voids. The edge length of the unit cell of the crystal AB is_____pm. (Nearest Integer)$