JEE Main & Advanced Chemistry The Solid State / ठोस प्रावस्था Question Bank

done Mathematical analysis of cubic system and Bragg's equation Total Questions - 27

• question_answer1)
  The formula for determination of density of unit cell is
  A)
                  \[\frac{{{a}^{3}}\times {{N}_{o}}}{N\times M}g\,c{{m}^{-3}}\]    done clear
  B)
                  \[\frac{N\times M}{{{a}^{3}}\times {{N}_{o}}}g\,c{{m}^{-3}}\] done clear
  C)
                  \[\frac{{{a}^{3}}\times M}{N\times {{N}_{o}}}g\,c{{m}^{-3}}\]    done clear
  D)
                  \[\frac{M\times {{N}_{o}}}{{{a}^{3}}\times N}g\,c{{m}^{-3}}\] done clear
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• question_answer2)
  Potassium fluoride has \[NaCl\] type structure. What is the distance between \[{{K}^{+}}\] and \[{{F}^{-}}\] ions if cell edge is \[a\,\,cm\]
  A)
                  \[2a\,\,cm\] done clear
  B)
                  \[a/2\,\,cm\] done clear
  C)
                  \[4a\,\,cm\]       done clear
  D)
                  \[a/4\,\,cm\] done clear
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• question_answer3)
  An element occurring in the \[bcc\] structure has \[12.08\times {{10}^{23}}\] unit cells. The total number of atoms of the element in these cells will be      [MP PET 1994]
  A)
                  \[24.16\times {{10}^{23}}\]          done clear
  B)
                  \[36.18\times {{10}^{23}}\] done clear
  C)
                  \[6.04\times {{10}^{23}}\]            done clear
  D)
                  \[12.08\times {{10}^{23}}\] done clear
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• question_answer4)
  If an atom is present in the centre of the cube, the participation of that atom per unit cell is
  A)
                  \[\frac{1}{4}\]    done clear
  B)
                  1 done clear
  C)
                  \[\frac{1}{2}\]    done clear
  D)
                  \[\frac{1}{8}\] done clear
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• question_answer5)
  For an ionic crystal of the general formula \[AX\] and coordination number 6, the value of radius ratio will be [MP PMT 1993]
  A)
                  Greater than 0.73 done clear
  B)
                  In between 0.73 and 0.41 done clear
  C)
                  In between 0.41 and 0.22 done clear
  D)
                  Less than 0.22 done clear
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• question_answer6)
  The number of spheres contained (i) in one body centred cubic unit cell and (ii) in one face centred cubic unit cell, is
  A)
                  In (i) 2 and in (ii) 4            done clear
  B)
                  In (i) 3 and in (ii) 2 done clear
  C)
                  In (i) 4 and in (ii) 2            done clear
  D)
                  In (i) 2 and in (ii) 3 done clear
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• question_answer7)
  \[CsBr\] crystal has \[bcc\] structure. It has an edge length of \[4.3\,\,{AA}.\] The shortest interionic distance between \[C{{s}^{+}}\] and \[B{{r}^{-}}\]ions is     [IIT 1995]
  A)
  \[1.86\,\,{AA}\]              done clear
  B)
  \[3.72\,\,{AA}\] done clear
  C)
  \[4.3\,\,{AA}\] done clear
  D)
  \[7.44\,\,{AA}\] done clear
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• question_answer8)
  In octahedral holes  (voids)
  A)
                  A simple triangular void surrounded by  four spheres done clear
  B)
                  A bi-triangular void surrounded  by four spheres               done clear
  C)
                  A bi-triangular void surrounded by six spheres done clear
  D)
                  A bi-triangular void surrounded by eight spheres done clear
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• question_answer9)
  Bragg's law is given by the equation        [MP PMT 1995, 2002]
  A)
                  \[n\lambda =2\theta \sin \theta \]          done clear
  B)
                  \[n\lambda =2d\sin \theta \] done clear
  C)
                  \[2n\lambda =d\sin \theta \]      done clear
  D)
                  \[n\frac{\theta }{2}=\frac{d}{2}\sin \theta \] done clear
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• question_answer10)
  The number of atoms in \[100\,\,g\] of an \[fcc\] crystal with density \[d=10\,\,g/c{{m}^{3}}\] and cell edge equal to \[100\,\,pm,\]is equal to              [CBSE PMT 1994; KCET 2002]
  A)
                  \[4\times {{10}^{25}}\]  done clear
  B)
                  \[3\times {{10}^{25}}\] done clear
  C)
                  \[2\times {{10}^{25}}\] done clear
  D)
                  \[1\times {{10}^{25}}\] done clear
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• question_answer11)
  In the crystals of which of the following ionic compounds would you expect maximum distance between centres of cations and anions          [CBSE PMT 1998]
  A)
                  \[LiF\]   done clear
  B)
                  \[CsF\] done clear
  C)
                  \[CsI\]   done clear
  D)
                  \[LiI\] done clear
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• question_answer12)
  The number of unit cells in \[58.5\,g\] of \[NaCl\] is nearly [MP PMT 2000, 01]
  A)
                  \[6\times {{10}^{20}}\]  done clear
  B)
                  \[3\times {{10}^{22}}\] done clear
  C)
                  \[1.5\times {{10}^{23}}\]              done clear
  D)
                  \[0.5\times {{10}^{24}}\] done clear
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• question_answer13)
  How many unit cells are present in a cube-shaped ideal crystal of \[NaCl\] of mass \[1.00\,g\] [Atomic masses: \[Na=23,\,Cl=35.5]\]       [AIEEE 2003]
  A)
                  \[2.57\times {{10}^{21}}\] unit cells         done clear
  B)
                  \[5.14\times {{10}^{21}}\] unit cells done clear
  C)
                  \[1.28\times {{10}^{21}}\] unit cells         done clear
  D)
                  \[1.71\times {{10}^{21}}\] unit cells done clear
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• question_answer14)
  In the Bragg?s equation  for diffraction of X-rays, n represents for      [MP PMT 2000]
  A)
                  Quantum number           done clear
  B)
                  An integer done clear
  C)
                  Avogadro?s numbers      done clear
  D)
                  Moles done clear
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• question_answer15)
  In a face centred cubic cell, an atom at the face contributes to the unit cell [Karnataka (Engg./Med.) 2000; AFMC 2001]
  A)
                  1/4 part                done clear
  B)
                  1/8 part done clear
  C)
                  1 part    done clear
  D)
                  1/2 part done clear
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• question_answer16)
  The interionic distance for cesium chloride crystal will be  [MP PET 2002]
  A)
                  a             done clear
  B)
                  \[\frac{a}{2}\] done clear
  C)
                  \[\frac{\sqrt{3}a}{2}\]    done clear
  D)
                  \[\frac{2a}{\sqrt{3}}\] done clear
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• question_answer17)
  Sodium metal crystallizes as a body centred cubic lattice with the cell edge 4.29 Å. What is the radius of sodium atom [AIIMS 1999]
  A)
                  \[1.857\times {{10}^{-8}}cm\]    done clear
  B)
                  \[2.371\times {{10}^{-7}}cm\] done clear
  C)
                  \[3.817\times {{10}^{-8}}cm\]    done clear
  D)
                  \[9.312\times {{10}^{-7}}cm\] done clear
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• question_answer18)
  For an ionic crystal of the type \[AB,\] the value of (limiting) radius ratio is 0.40. The value suggests that the crystal structure should be
  A)
                  Octahedral          done clear
  B)
                  Tetrahedral done clear
  C)
                  Square planar    done clear
  D)
                  Plane triangle done clear
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• question_answer19)
  Potassium has a \[bcc\] structure with nearest neighbour distance \[4.52\,\,{AA}.\] Its atomic weight is 39. Its density (in \[kg\,\,{{m}^{-3}}\])  will be        [AIIMS 1991]
  A)
  454         done clear
  B)
  804 done clear
  C)
  852         done clear
  D)
  908 done clear
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• question_answer20)
  If the value of ionic radius ratio \[\left( \frac{{{r}_{c}}}{{{r}_{a}}} \right)\] is 0.52 in an ionic compound, the geometrical arrangement of ions in crystal is
  A)
                  Tetrahedral        done clear
  B)
                  Planar done clear
  C)
                  Octahedral          done clear
  D)
                  Pyramidal done clear
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• question_answer21)
  The number of atoms/molecules contained in one face  centred cubic unit cell of a monoatomic substance is [CPMT 1989, 94; CBSE PMT 1989, 96; NCERT 1990; MP PET 1993; KCET 1999]
  A)
                  1              done clear
  B)
                  2 done clear
  C)
                  4              done clear
  D)
                  6 done clear
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• question_answer22)
  The number of atoms/molecules contained in one body centered cubic unit cell is
  A)
                  1              done clear
  B)
                  2 done clear
  C)
                  4              done clear
  D)
                  6 done clear
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• question_answer23)
  It the distance between \[N{{a}^{+}}\] and \[C{{l}^{-}}\] ions in sodium chloride crystal is \[X\]pm, the length of the edge of the unit cell is    [KCET 2004]
  A)
                  4X pm   done clear
  B)
                  X/4 pm done clear
  C)
                  X/2 pm done clear
  D)
                  2X pm done clear
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• question_answer24)
  The edge of unit cell of FCC \[Xe\] crystal is \[620\,pm\]. The radius of \[Xe\] atom is      [MP PET 2004]
  A)
                  219.25 Pm           done clear
  B)
                  235.16 Pm done clear
  C)
                  189.37 Pm           done clear
  D)
                  209.87 Pm done clear
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• question_answer25)
  In orthorhombic, the value of \[a,\,b\] and \[c\] are respectively \[4.2{AA},\,8.6{AA}\] and \[8.3{AA}\]. given the molecular mass of the solute is \[155\,gm\,mo{{l}^{-1}}\] and that of density is \[3.3\,gm/cc\], the number of formula units per unit cell is [Orrisa JEE 2005]
  A)
  2              done clear
  B)
  3 done clear
  C)
  4              done clear
  D)
  6 done clear
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• question_answer26)
  A metal has bcc structure and the edge length of its unit cell is\[3.04{AA}\]. The volume of the unit cell in \[c{{m}^{3}}\] will be [Orrisa JEE 2005]
  A)
  \[1.6\times {{10}^{21}}c{{m}^{3}}\]         done clear
  B)
  \[2.81\times {{10}^{-23}}c{{m}^{3}}\] done clear
  C)
  \[6.02\times {{10}^{-23}}c{{m}^{3}}\]     done clear
  D)
  \[6.6\times {{10}^{-24}}c{{m}^{3}}\] done clear
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• question_answer27)
  In face centred cubic unit cell edge length is        [DPMT 2005]
  A)
                  \[\frac{4}{\sqrt{3}}r\]     done clear
  B)
                  \[\frac{4}{\sqrt{2}}r\] done clear
  C)
                  \[2r\]     done clear
  D)
                  \[\frac{\sqrt{3}}{2}r\] done clear
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