Solid State****Q.No.1 Which of the following is not a characteristic property of Solids?(a) Intermolecular distances are short(b) Intermolecular forces are weak(c) Constituent particles have fixed positions(d) Solids oscillate about their mean positionsAns.(b) Intermolecular forces are strong in solids.
Q.No.2 Most crystals show good cleavage because their atoms, ions or molecules are(a) weakly bonded together(b) strongly bonded together(c) spherically symmetrical(d) arranged in planesAns. (d) crystals show good cleavage because their constituent particles are arranged in planes.
Q.NO.3 "crystalline solids are anisotropic in nature. What is the meaning of anisotropic in the given statement?(a) a regular pattern of arrangement of particles which repeats itself periodically over the entire crystal(b) Different values of some of physical properties are shown when measured along different directions in the same crystals(c) An irregular arrangement of particles over the entire crystal(d) Same values of some of physical properties are shown when measured along different directions in the same crystals.Ans.(b) Different values of some of physical properties are shown when measured along different directions in the same crystals.
Q.No.4 A crystalline solid (a) changes abruptly from solid to liquid when heated(b) has no definite melting point(c) undergoes deformation of its geometry easily(d) has irregular 3D arrangementsAns. (a) changes abruptly from solid to liquid when heated
Q.No.5 which of the following is not a characteristic of a crystalline solid?(a) definite and characteristic heat of fusion(b) Isotropic nature(c) A regular periodically repeated pattern of arrangement of constituent particles in the entire crystal(d) A true solidAns. (b) isotropic nature
Q.No.6 Which of the following is not a crystalline solid?(a) KCl(b) CsCl(c) Glass(d) Rhombic SAns.(c) Glass
Q.No.7 Which of the following statements about amorphous solids is incorrect?(a) They melt over a range of temperature(b) They are anisotropic(c) There is no orderly arrangement of particles(d) They are rigid and incompressibleAns. (b) Amorphous solids are isotropic, because these substances show same properties in all directions.
Q.No.9 Which of the following is an amorphous solid?(a) Graphite (b) Quartz glass (c) Chrome alum(d) Silicon CarbideAns.(b) Quartz glass
Q.NO.10 Which of the following statement is not true about amorphous solids?(a) On heating they may become crystalline at certain temperature(b) They may become crystalline on keeping for long time(c) Amorphous solids can be moulded by heating(d) They are anisotropic in natureAns.(d) They are anisotropic in nature.
Q.No.11 The sharp melting point of crystalline solids is due to ____(a) a regular arrangement of constituent particles observed over a short distance in the crystal lattice(b) a regular arrangement of constituent particles observed over a long distance in the crystal lattice(c) same arrangement of constituent particles in different directions (d) different arrangement of constituent particles in different directions.Ans. (b) a regular arrangement of constituent particles observed over a long distance in the crystal lattice.
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Q1 The electrical conductivity of semiconductor is a. 107 ohm-1 cm-1b. 10-15 ohm-1 cm-1c. in the range of 10-6 to 104 ohm-1 cm-1d. noneAns. c. in the range of 10-6 to 104 ohm-1 cm-1
Q2. Pure silicon and germanium at 0 K (-273.15 'C) area. conductorsb. insulatorsc. semiconductorsd. may be or may not be aboveAns. b.insulators
Q.3 A solid has a structure in which W atoms are located at the corners of a cubic lattice, O atoms at the centre of edges and Na atom at centre of the cube. The formula for the compound isa. NaWO2b. NaWO3c.Na2WO3d. NaWO4 Ans. b. NaWO3
Q4 The number of atoms in 100g of a fcc crystal with density = 10.0g/cm3 and cell edge equal to 200 pm is equal to a. 5x 1024 b. 5x1025c. 6x1023d. 2x1025Ans.a. 5x1024
Q Schottky defect in crystals is observed whena. unequal no. of cations and anions are missing from the latticeb. equal no. of cations and anions are missing from the latticec. an ion leaves its normal site and occupies an interstitial sited. density of the crystal is increasedAns. b. equal no. of cations and anions are missing from the lattice.
Q5 Due to Frenkel defect, the density of the ionic solids a. increasesb. decreasesc. does not changed. changesAns.c. does not change
Q6 In a tetragonal crystala. a=b=c, α = β = 90 ≠ γb. α = β = γ = 90, a = b ≠ cc. α = β = γ = 90 , a ≠ b ≠ cd. α = β = 90, γ = 120, a=b=cAns. b. α = β = γ = 90, a = b ≠ c
Q7 The ratio of Fe+3 and Fe+2 ions in Fe0.9 S1.0 a.0.28b.0.5c.2d. 4Ans.a.0.28
Q8 The material used in the solar cells containsa. Csb. Sic. Snd. TiAns.b. Si
Q9 In the calcium fluoride structure, the coordination no. of the cations and the anions are respectively (V Imp)a. 6 and 6b. 8 and 4c. 4 and 4d. 4 and 8Ans.b.8 and 4
Q10 A metallic crystal crystallizes into a lattice containing a sequence of layers AB AB AB ... Any packing of spheres leaves out voids in the lattice. What percentage by volume of this lattice is empty space?a.74%b. 26% c.50%d.NoneAns.b.26%
Q11 The intermetallic compound LiAg crystallizes in cubic lattice in which both lithium and silver have coordination number of eight. The crystal class isa. Simple cubicb. Body centred cubicc. Face-centred cubicd. NoneAns.b.Body centred cubic
Q12 The edge length of face centred cubic unit cell is 508pm. If the radius of the cation is 110pm, the radius of the anion isa.144pmb. 288pmc. 618 pmd. 398pmAns.a.144pm
Q13. In the crystals of which of the following ionic compounds would you expect maximum distance between the centres of the cations and anions?a. LiFb. CsFc. CsId. LiIAns. c.CsI
Q14 Schottky defect in crystals is observed whena. unequal no. of cations and anions are missing from the latticeb. equal no. of cations and anions are missing from the latticec. an ion leaves its normal site and occupies an interstitial sited. density of the crystal is increasedAns. b. equal no. of cations and anions are missing from the lattice.
Q15 How many kinds of space lattice are possible in a crystal?a. 23b. 7c. 230d. 14Ans. d. 14
Q16. Potassium crystallizes with a a. Face-centred cubic latticeb. Body-centred cubic latticec. simple cubic latticed. orthorhombic latticeAns. b. Body-centred cubic lattice.
Q17 The coordination no. of a metal crystallising in a hexagonal close packed structure isa. 12b. 4c. 8d. 6Ans. a.12
Q18 A compound formed by element A and B crystalizes in the cubic structure where A atoms are at the corners of a cube and B atoms are at the face-centres. The formula of the compound is a. AB3b. ABc. A3Bd. A2B2Ans. a. AB3
Q19 The number of unit cells in 58.5g of NaCl is nearlya. 6 x 1020b. 3 x 1022c. 1.5 x 1023d. 0.5 x 1024Ans. c. 1.5 x 1023
Q20 The number of octahedral sites per sphere in fcc structure is a. 8b. 4c. 2d. 1Ans. d.1
Q21 the packing fraction for a body-centred cube is a. 0.42b. 0.53c. 0.68d. 0.82Ans. c. 0.68
Q22 Which of the following has Frenkel defect?a. NaClb. Graphitec. Silver Bromided. DiamondAns. c. Silver Bromide
Q23 In NaCl, the chloride ions occupy the space in a fashion ofa. fccb. bccc. bothd. noneAns. a.fcc
Q24 To get n-type doped semiconductor, impurity to be added to silicon should have the following number of valence electrons?a. 2b. 5c. 3d. 1Ans. b.5
Q25 The range of radius ratio (cationic to anionic) for an octahedral arrangement of ions in an ionic solid is a. 0 - 0.155b. 0.155 - 0.225c. 0.225 - 0.414d. 0.414 - 0.732e. 0.732 - 1.000Ans. d. 0.414 - 0.732
Q26 When molten zinc is cooled to solid state, it assumes HCP structure. Then the number of nearest neighbours of zinc atom will be a. 4b. 6c. 8 d. 12Ans. d. 12
Q27 In a solid 'AB' having the NaCl structure, 'A' atoms occupy the corners of the cubic unit cell. If all the face-centred atoms along one of the axes are removed, then the resultant stoichiometry of the solid isa. AB2b. A2Bc. A4B3d. A3B4Ans. d. A3B4
Q28 A substance AxBy crystallizes in a face centred cubic (FCC) lattice in which atoms 'A' occupy each corner of the cube and atoms 'B' occupy the centres of each face of the cube. Identify the correct composition of the substance AxBy a. AB3 b. A4B3 c. A3Bd. Compound cannot be specified. Ans. a. AB3
Q.29 Superconductors are derived from the compounds a. p-block elementsb. lanthanidesc. actinidesd. transition elementse. scandiumAns. a. p block elements
Q30 A semiconductor of Ge can be made p type by addinga. trivalent impurityb. tetravalent impurityc. pentavalent impurityd. divalent impurityAns. a.trivalent impurity
Q31 the interionic distance for cesium chloride crystal will be a. ab. a/2c. √3 a/2d. 2a/ √3 Ans. c. √3 a/2--------------------------------------------------------------------------------------------------------Q1 1. The pure crystalline substance on being heated gradually first forms a turbid liquid at constant temperature and still at higher temperature turbidity completely disappears. The behaviour is a characteristic of substance forming(a) allotropic crystals (b) liquid crystals(c) isomeric crystals (d) isomorphous crystals.Ans.
Q2 Glass is a (a) liquid(b) solid(c) supercooled liquid(d) transparent organic polymer. Ans.
Q3. Most crystals show good cleavage because their atoms, ions or molecules are(a) weakly bonded together(b) strongly bonded together(c) spherically symmetrical(d) arranged in planes. Ans.
Q4. The ability of a substance to assume two or more crystalline structures is called(a) isomerism (b) polymorphism(c) isomorphism (d) amorphism.Ans.
Q5. Cation and anion combines in a crystal to form following type of compound(a) ionic (b) metallic(c) covalent (d) dipole-dipole.Ans.
Q6. For two ionic solids CaO and KI, identify the wrong statement among the following.(a) CaO has high melting point.(b) Lattice energy of CaO is much larger than that of KI.(c) KI has high melting point.(d) KI is soluble in benzene.Ans.
Q7. For orthorhombic system axial ratios are a ≠ b ≠ c and the axial angles are(a) α = β = γ ≠ 90º (b) α = β = γ = 90º(c) α = γ = 90º, β ≠ 90º (d) α ≠ β ≠ γ ≠ 90ºAns.
Q8 The number of carbon atoms per unit cell of diamond unit cell isa. 6b. 1c. 4d. 8Ans.
Q9. In a face-centred cubic lattice, a unit cell is shared equally by how many unit cells?(a) 2 (b) 4(c) 6 (d) 8 Ans.
Q10. When Zn converts from melted state to its solid state, it has hcp structure, then find the number of nearest atoms.(a) 6 (b) 8(c) 12 (d) 4 Ans.
Q11. The fcc crystal contains how many atoms in each unit cell?(a) 6 (b) 8(c) 4 (d) 5 Ans.
Q12. The number of atoms contained in a fcc unit cell of a monatomic substance is(a) 1 (b) 2(c) 4 (d) 6Ans.
Q13. A compound is formed by cation C and anion A. The anions form hexagonal close packed (hcp) lattice and the cations occupy 75% of octahedral voids. The formula of the compound is(a) C4A3 (b) C2A3(c) C3A2 (d) C3A4Ans.
Q14. In calcium fluoride, having the fluorite structure, the coordination numbers for calcium ion (Ca2+) and fluoride ion (F–) are(a) 4 and 2 (b) 6 and 6(c) 8 and 4 (d) 4 and 8 Ans.
Q15. The ionic radii of A+ and B– ions are 0.98 × 10–10 m and 1.81 × 10–10 m. The coordination number of each ion in AB is(a) 8 (b) 2(c) 6 (d) 4Ans.
Q16. The number of octahedral void(s) per atom present in a cubic close-packed structure is(a) 1 (b) 3(c) 2(d) 4Ans.
Q17. Structure of a mixed oxide is cubic close packed (ccp). The cubic unit cell of mixed oxide is composed of oxide ions. One fourth of the tetrahedral voids are occupied by divalent metal A and the octahedral voids are occupied by a monovalent metal B. The formula of the oxide isa. ABO2b. A2BO2c. A2B3O4d. AB2O2Ans. Explanation:
Q18. A solid compound XY has NaCl structure. If the radius of the cation is 100 pm, the radius of the anion (Y–) will be (a) 275.1 pm (b) 322.5 pm(c) 241.5 pm (d) 165.7 pmAns.
19. A compound formed by elements X and Y crystallises in a cubic structure in which the X atoms are at the corners of a cube and the Y atoms are at the face- centres. The formula of the compound is(a) XY3 (b) X3Y(c) XY (d) XY2Ans.
20. In cube of any crystal A-atom placed at every corners and B-atom placed at every centre of face. The formula of compound is(a) AB (b) AB3(c) A2B2 (d) A2B3Ans.
Q21. In crystals of which one of the following ionic compounds would you expect maximum distance between centres of cations and anions?(a)CsI(b) CsF(c)LiF(d) LiIAns.
Q22. The second order Bragg diffraction of X-rays with λ = 1.00 Å from a set of parallel planes in a metal occurs at an angle 60°. The distance between the scattering planes in the crystal is(a) 2.00 Å (b) 1.00 Å(c) 0.575 Å(d) 1.15 ÅAns.
Q23. The intermetallic compound LiAg crystallizes in cubic lattice in which both lithium and silver have coordination number of eight. The crystal class is(a) face-centred cube (b) simple cube(c) body-centred cube (d) none of these. Ans.
Q24. In the fluorite structure, the coordination number of Ca2+ ionis(a) 4 (b) 6(c) 8 (d) 3Ans.
Q25. An element has a body centered cubic (bcc) structure with a cell edge of 288 pm. The atomic radius isa. √3/4 x 288pmb. √2/4 x 288pmc. 4/√3 x 288pmd. 4/√2 x 288pm Ans.
Q26. The vacant space in bcc lattice unit cell is (a) 48% (b) 23%(c) 32% (d) 26% Ans.
Q27. If a is the length of the side of a cube, the distance between the body-centred atom and one corner atom in the cube will bea. 2/ √3 a b. 4/√3 ac. √3/4 ad. √3/2 aAns.
28. A metal crystallises with a face-centred cubic lattice. The edge of the unit cell is 408 pm. The diameter of the metal atom is(a) 288 pm (b) 408 pm(c) 144 pm (d) 204 pm Ans.
29. AB crystallizes in a body-centred cubic lattice with edge length ‘a’ equal to 387 pm. The distance between two oppositely charged ions in the lattice is(a) 335 pm (b) 250 pm(c) 200 pm (d) 300 pm Ans.
Q30. Lithium metal crystallises in a body-centred cubic crystal. If the length of the side of the unit cell of lithium is 351 pm, the atomic radius of lithium will be(a) 151.8 pm (b) 75.5 pm(c) 300.5 pm (d) 240.8 pm Ans.
Q31. Copper crystallises in a face-centred cubic lattice with a unit cell length of 361 pm. What is the radius of copper atom in pm?(a) 157 (b) 181(c) 108 (d) 128Ans.d.Explanation: Since Cu crystallises in a fcc so, r = a/2√2a = edge length = 361 pm r = 361/ 2√2 = 128 pm
Q32. Which of the following statements is not correct?(a) The number of carbon atoms in a unit cell of diamond is 8.(b) The number of Bravais lattices in which a crystal can be categorized is 14.(c) The fraction of the total volume occupied by the atoms in a primitive cell is 0.48.(d) Molecular solids are generally volatileAns. c. The fraction of the total volume occupied by the atoms in a primitive cell is 0.48.
Q33 If a stands for the edge length of the cubic systems: simple cubic, body-centred cubic and face-centred cubic, then the ratio of radii of the spheres in these systems will be respectivelya. 1a/2: √3a/2 : √2a/2b. 1a: √3a:√2ac. 1a/2: √3a/4: 1a/2√2d. 1a/2: √3a:1a/√2Ans. c. c. 1a/2: √3a/4: 1a/2√2Explanation: For simple cubic: r = a/2For body centred: r = a√3/4For face centred : r = a/2√2a = edge length and r = radiusRatio of radii of the three will be a/2: a √3/4: a/2√2
Q34 The fraction of total volume occupied by the atoms present in a simple cube isa. P/ 3√2b. P/4√2c. P/4d. P/6Ans. d. P/6
Q35 The pyknometric density of sodium chloride crystal is 2.165 ×103 kg m–3 while its X-ray density is 2.178 × 103 kg m–3. The fraction of unoccupied sites in sodium chloride crystal is(a) 5.96(b) 5.96 × 10–2(c) 5.96 × 10–1 (d) 5.96 × 10–3Ans. d. 5.96x10-3 Explanation: Molar volume from pyknometric density = M/ 2.165 x 103 Molar volume from X-ray density = M / 2.178 x 103 m3 Volume occupied = M/ 103 (1/2.165 - 1/2.178) m3Fraction unoccupied = (0.013 M x 10-3 / 2.165x2.178)/(Mx10-3/2.165) = 5.96 x 10-3
Q36. The edge length of face-centred unit cubic cells is 508 pm. If the radius of the cation is 110 pm, the radius of the anion is(a) 144 pm (b) 398 pm(c) 288 pm (d) 618 pmAns. a. 144 pm Explanation: In the face–centred cubic lattice, the edge length of the unit cell, a = r + 2R + rwhere r = Radius of cation, R = Radius of anion 508 = 2 × 110 + 2R R = 144 pm
Q37 Iron exhibits bcc structure at room temperature. Above 900°C, it transforms to fcc structure. The ratio of density of iron at room temperature to that at 900°C (assuming molar mass and atomic radii of iron remains constant with temperature) isa. √3/√2b. 4√3/ 3√2c. 3√3/4√2d. 1/2Ans. c. 3√3/4√2Explanation: for bcc, Z = 2 and a = 4r/√3for fcc Z = 4 and a = 2√2 r dRT/d900oC = ZM/ a3xNA /ZM/ a3xNAmolar mass and atomic radii are constant= 3√3/4√2
Q38 Lithium has a bcc structure. Its density is 530 kg m–3 and its atomic mass is 6.94 g mol–1. Calculate the edge length of a unit cell of lithium metal. (NA=6.022 x 1023 mol-1 )(a) 527 pm (b) 264 pm(c) 154 pm (d) 352 pmAns. d. 352 pm Explanation: as bcc Z = 2density = 530 kg m-3at mass of Li = 6.94 g / mol NA = 6.022 x 1023 ρ = ZM/ a3xNA = 2 x 6.94/a3 x 6.022 x 1023 a = 352 pm
Q39 A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm–3. The molar mass of the metal is (NA Avogadro’s constant = 6.02 × 1023 mol–1)(a) 27 g mol–1 (b) 20 g mol–1(c) 40 g mol–1 (d) 30 g mol–1Ans. a. 27 g mol-1
Q40. CsBr crystallises in a body-centred cubic lattice. The unit cell length is 436.6 pm. Given that the atomic mass of Cs = 133 and that of Br = 80 amu and Avogadro number being 6.02 × 1023 mol–1, the density of CsBr is(a) 4.25 g/cm3 (b) 42.5 g/cm3(c) 0.425 g/cm3 (d) 8.25 g/cm3Ans. a. 4.25 g/cm3
Q41. An element (atomic mass = 100 g/mol) having bcc structure has unit cell edge 400 pm. The density of element is(a) 7.289 g/cm3(b) 2.144 g/cm3(c) 10.376 g/cm3(d) 5.188 g/cm3Ans. d. 5.188 g/cm3Explanation: cell edge = 400 pmAs it is bcc, so Z = 2at. mass = 100 g/ mlmass of each element = 100 / 6.022 x 1023 = 16.6 x 10 -23 gdensity = mass of unit cell/ volume of unit celldensity = 33.2 x 10 -23/ 64 x 10 -24 = 5.188 g/cm3
Q42.Formula of nickel oxide with metal deficiency defect in its crystal is Ni0.98O. The crystal contains Ni2+ and Ni3+ ions. The fraction of nickel existing as Ni2+ ions in the crystal is(a) 0.96 (b) 0.04(c) 0.50 (d) 0.3Ans. a. 0.96Explanation: Let the fraction of metal which exists as Ni2+ ion be x. Then the fraction of metal as Ni3+ = 0.98 – x2x + 3(0.98 – x) = 22x + 2.94 – 3x = 2 x = 0.94
Q43. The correct statement regarding defects in crystalline solids is(a) Frenkel defects decrease the density of crystalline solids(b) Frenkel defect is a dislocation defect(c) Frenkel defect is found in halides of alkaline metals(d) Schottky defects have no effect on the density of crystalline solids.Ans. b. Frenkel defect is a dislocation defectExplanation: (b) : Frenkel defect is a dislocation defect as smaller ions (usually cations) are dislocated from normal sites to interstitial sites. Frenkel defect is shown by compounds having large difference in the size of cations and anions hence, alkali metal halides do not show Frenkel defect. Also, Schottky defect decreases the density of crystal while Frenkel defect has no effect on the density of crystal.
Q44. The appearance of colour in solid alkali metal halides is generally due to(a) interstitial positions(b) F-centres(c) Schottky defect(d) Frenkel defect.Ans. b. F-centresExplanation: F-centres are the sites where anions are missing and instead electrons are present. They are responsible for colours.
Q45. Schottky defect in crystals is observed when(a) density of the crystal is increased(b) unequal number of cations and anions are missing from the lattice(c) an ion leaves its normal site and occupies an interstitial site(d) equal number of cations and anions are missing from the lattice.Ans. d) equal no. of cations and anions are missing from the lattice.Explanation: In Schottky defect, equal no. of cations and anions are missing from the lattice. So, the crystal remains neutral. Such defect is more common in highly ionic compounds of similar cationic and anionic size, i.e. NaCl.
Q46. Ionic solids, with Schottky defects, contain in their structure(a) cation vacancies only(b) cation vacancies and interstitial cations(c) equal number of cation and anion vacancies(d) anion vacancies and interstitial anions.Ans. (c)equal number of cation and anion vacancies.Explanation: When an atom is missing from its normal lattice site, a lattice vacancy is created. Such a defect, which involves equal number of cation and anion vacancies in the crystal lattice is called a Schottky defect.
Q47. Which is the incorrect statement?(a) Density decreases in case of crystals with Schottky defect.(b) NaCl(s) is insulator, silicon is semiconductor, silver is conductor, quartz is piezoelectric crystal.(c) Frenkel defect is favoured in those ionic compounds in which sizes of cation and anions are almost equal.(d) FeO0.98 has non-stoichiometric metal deficiency defect.Ans. (c, d) Explanation: Frenkel defect is favoured in those ionic compounds in which there is large difference in the size of cations and anions.Non-stoichiometric defects due to metal deficiency is shown by FexO where x = 0.93 to 0.96.
Q48. With which one of the following elements silicon should be doped so as to give p-type of semiconductor?(a) Selenium(b) Boron(c) Germanium(d) ArsenicAns. (b) BoronExplanation: If silicon is doped with any of the elements of group 13 (B, Al, Ga, In, Tl) of the periodic table p-type semiconductor will be obtained.
Q49. If NaCl is doped with 10-4 mol % of SrCl2, the concentration of cation vacancies will be(NA = 6.02 × 1023 mol–1)(a) 6.02 × 1016 mol–1 (b) 6.02 × 1017 mol–1(c) 6.02 × 1014 mol–1 (d) 6.02 × 1015 mol–1Ans. (b) 6.02 × 1017 mol–1Explanation: As each Sr2+ ion introduces one cation vacancy, therefore, concentration of cation vacancies = mole % of SrCl2 added.Therefore, Concentration of cation vacancies = 10–4 mole%1015x 6.023 x 1023/ 100 = 6.023 x 1017
Q50. If we mix a pentavalent impurity in a crystal lattice of germanium, what type of semiconductor formation will occur?(a) n-type semiconductor(b) p-type semiconductor(c) Both (a) and (b)(d) None of these Ans. (a) n-type semiconductorExplanation: When an impurity atom with 5 valence electrons (as arsenic) is introduced in a germanium crystal, it replaces one of the germanium atoms. Four of the five valence electrons of the impurity atom form covalent bonds with each valence electron of four germanium atoms and fifth valence electron becomes free to move in the crystal structure. This free electron acts as a charge carrier. Such as an impure germanium crystal is called n-type semiconductor because in it charge carriers are negative (free electrons).
Q51. On doping Ge metal with a little of In or Ga, one gets(a) p-type semiconductor(b) n-type semiconductor(c) insulator(d) rectifier.Ans. a. p-type semiconductorExplanation: (a)due to metal deficiency defects (b) by adding impurity containing less electrons (i.e. atoms of group 13). Ge belongs to Group 14 and In or Ga to Group 13. Hence on doping p-type semiconductor is obtained. This doping of Ge with In increase the electrical conductivity of the Ge crystal.