Solid state previous year questions CBSE with answers( Two and Three Mark )

Solid state previous year questions CBSE with answers( Two and Three Mark )
Solid state previous year questions CBSE with answers( Two and Three Mark )

These are Solid State previous year questions for CBSE .
Two Marks Question:

1.       An element having bcc structure has atomic mass 50u and density 6.81 gcm-3 Calculate the edge length of the unit cell. (NA=6.02 * 1023 mol-1)                                                                          (AI 2001 C)

2.       Unit cell of an element (atomic mass 108u and density 10.5g cm-3)has an edge length 409pm Deduce the type of crystal lattice . (NA=6.02 * 1023 mol-1)

3.       Nacl crystals are doped with 2*10-3 mol percent of SrCl2 , calculate the cation vacancies per mole. (NA  =6.02 * 1023 mol-1) (Delhi 2001C)

4.       Lithium metal crystal has body centred  cubic structures  density is 0 53 g cm-3 and  its atomic mass is 6.94 g mol -1 .Calculate the volume  of a unit cell of lithium metal . (NA  =6.02 * 1023 mol-1)  (Al 2001)

5.                Sodium crystallizes in the cubic lattice and the edge of the unit cell is 430 pm .Calculate the number of atoms in the unit cell (Atomic mass of Na = 23.0u, density of sodium =0.963g cm-3) )  (NA  =6.02 * 1023 mol-1) (Al 2001)

6.       An element crystallizes in fcc structure  .200 g of this element has 4.12*1024 atoms. The density of A is  7.2 g cm-3 . Calculate the edge length of the unit cell.  (AI. 2001)

7.       State the difference between Schottky and Frenkel defects.  Which of the two changes the density of the solid? (A1 2002)

8.       The density of chromium metal is 7.2 g cm-3. If the unit cell has edge length of 289pm , determine  the type of unit cell .(atomic mass of Cr =52 u, NA  =6.02 * 1023 mol-1) (Al 2003 C)



9.       An element occurs in bcc  structure with cell edge 300pm. The density of the element is 5.2 g cm-3. How many atoms of the element does 200 g of the element contain? (Delhi 2003 C)

10.   Explain the following with suitable examples

                       An n type semiconductor (Delhi 2006 C)

11.   Copper crystallizes into an fcc lattice with edge length of3.61*10 -8cm . Calculate the density of copper (Given Cu  =63.5g mol-1 , NA  =6.02 * 1023 mol-1 ) (Delhi 2009 C)

12.   A. In reference to crystal structure explain the meaning of coordination number?

(Delhi 2009 C)

                 B.What is the number of atoms in a unit cell of
                   a.) face centred cubic structure

                  b.) body centred cubic structure                                                                                         (Delhi 2009 C)


13.   How is crystals affected by Schkotty and Frenkel defects? (Delhi 2009 C)

14.   The well known mineral Fluorite is chemically calcium chloride .It is known that in one unit cell of this mineral there are 4 Ca2+ ions and 8 F- ions and that Ca2+are arranged in a fcc lattice .The F - ions fill all the Tetrahedral holes in the face centred cubic lattice of Ca2+ ions .The edge of the unit cell is 5.46 *10-8 cm in length. The density of the solids is 3 .18 g cm-3. Use the information to calculate Avogadro's number (Molar mass of CaF2, 78.08 g mol-1) (Delhi 2010)

15.   In terms of band theory explain the difference between a conductor and a semiconductor and give one example of each (AI.2011 C)

16.   Explain the following terms with suitable example of each

i.)Ferromagnetism                                            ii.)Antiferromagnetism           (Delhi 2011 C)

17.   Calculate the packing efficiency of a metal crystal for a simple cubic lattice (AI.2011)

18.   Calculate the number of unit cells in 8.1g of aluminium if it crystallizes in a face-centred  structure. (Atomic mass of Al = 27 g mol-1)                   (2017)

Three Marks Questions:

1.       Determine the type of cubic lattices to which the iron crystal belongs if it has edge length of 290 pm and the density is 7.87 g cm-3 (At mass of Fe =56 g mol-1, , NA  =6.02 * 1023 mol-1 )                                                                         (Delhi 2005)


2.       Aluminium crystals in a cubic close-packed structure is metallic radius is 125 pm .
a.)    What is the length of the edge of the unit cell?
b.)    How many such unit cells are there in a 100 cm3 of aluminium                 (Delhi 2005)

3.       What is a semiconductor? Describe two main types of semiconductors, giving examples and their distinctive features .                                                                                  (AI.2006 )

4.       Assign reasons for the following
i.)Phosphorus doped silicon is a semiconductor
ii.)Schottky defect lower the density of a solid
iii.) Some of the very old glass objects appear slightly milky instead of being transparent

5.       Silver crystallises in an fcc lattice. The edge length of its unit cell is 4. 077 10-8 cm and is 10.5 g cm-1. Calculate on this basis the atomic mass of silver (N=6.023x1023 mol-1 )                                         (A.1.2008)

6.       What is semiconductor? Describe two main types of semiconductors and explain mechanism  of their conduction.                                                                          (Delhi 2008)

7.       Explain the following giving a suitable example in each case:
i.) Paramagnetism
ii.)Frenkel defect
iii.) Ferrimagnetism                                                                                                 (Foreign 2008)

8.       How would you account for the following?
i.) Frenkel defects are not found in ionic solids of nearly equal sizes of cations and anions ii.)Impurity doped silicon is a semiconductor                                                   (Foreign 2008)

9.       Silver crystallizes with face-centred cubic until cells. Each side of the unit cell has a length of 409 pm. What is the radius of an atom of silver? (Assume that each face atom is touching corner atoms)                                                                                           (AI.2009)

10.   Iron has a body centred cubic unit cell with a cell edge of 286.65 pm. The density of iron is7.87 g cm-1 . Use this information to calculate Avogadro's number (At mass of Fe = 56 g mol-1 )(Delhi 2009)
11.   The density of lead is 11.35g cm-3 and the metal crystallizes with fcc unit cell. Estimate t

radius of lead atom .                                                                                                   (Delhi 2011)

12.   Calculate the distance between Na+ and Cl-  ions in NaCl crystal  if its density is 2. 165 g cm-3[Molar mass of Nacl = 58.5 g mole-1 ,NA =6.02*1023 mol-1  ]                            (2006)

13.   The density of Copper metal is 8.95 g cm-1 .If the radius of copper atom be 127.8 pm , is the copper unit cell simple cubic, body-centred or face centred cubic?(Given Atomic mass of  Cu =63. 54 g mol-1   , NA =6.02*1023 mol-1)                                                   (2010)

14.   An element with molar mass 27 g mol-1   forms a cubic unit cell with edge length 4.05*10-8 cm its density is 2.7g cm-3, what is the nature of the cubic unit cell?
 (Delhi 2015)

15.   An element crystallizes in a fcc lattice with cell edge of 400 pm. The density of the element is 7 g cm-3 . How many atoms are present in 280g of the element?  (AI. 2016)                                                                            

16.   An element crystallizes in a f.c.c lattice with cell edge of 250 pm. Calculate the density of 300 g of this element containing  2*1024 atoms.                                          (Delhi 2016)

17.   a.)Based on the nature of intermolecular forces classify the following solids:
 Silicon carbide.Argon
 (b) ZnO turns yellow on heating. Why?
(c) What is meant by groups 12-16 compounds? Give an example .                         (2017)
HINTS & SOLUTIONS
SOLID STATE
Two Marks Questions:

1.       Z =2, M=50 gm mol-1 , d=6.81g cm -3
a3  = ZxM
        d x NA
a3   =2x 50
     6.18 x6.02x1023
a=289.6 cm

2.       Z=?, M=108 u, d=10.5 g cm, a = 409 pm, NA= 6.02x1023 mol-1
d =ZxM
    a3   x NA
Z= d xa3   x NA
                        M
              Z= 10.5gcm-3 x(409)3 x 10-30 cm x 6.02x1023 Cm
                                      108
              Z=4, FCC structure

3.       Cation vacancies = Number of Sr2+ ions ,add =2x10-5 mol = 2x10-5 x 6.023x1023 = 1.2046x1019 mol

4.       Z=2, d= ZxM
            a3   x NA
a3  = ZxM    =  2x 6.94                    
        d x NA      0.53x 6.23 x1023

= 4.348x 10-23 cm

5.       Z=d x NA x a3
                                   M
                 =0.9623 cm3 x6.023x1023 x (430)3 x (10-10 )3cm 3 
                                                            23
                Z=2


    6. Z=4, M=200 g, N=4.12x1027, d=7.2 g cm3

     a3= Z x M
            d x N
      a3=    4    x   200
            7.2x4.12x1027
a=299.8 pm
7.       Schottky defect arises due equal number of cation and anion missing - density decreases  Frenkel defect  arises due to equal no of cation & anion leaves its normal site and occupies interstitial site - density remains constant

8.       Z=d x a3 x NA   =  7.2 g cm-3x (289)3 x 10-30 cm3 x 6.02 x 1023
        M                                               52

Z =2 (body centre)

9.       Z=2

N=2 x  M
      a3 x d

N= 2x 200
(300)x 10-10 x 5.2 cm 3

N=          400                                           
           27 x 10 27 x5.2

=2.85x1024 atoms

10.   When the Group - 14 element doped with upon -15, element n-type semiconductor is able

e.g. silicon doped with phosphorous

11.    d= Z x M
                    a3  x NA  

=   4 x 63.5
(3.61 x 10-8 )x 6.022 x 1023

= 8.965 g cm-3

12.   a) Coordination no: the no of atom surrounded by nearest  neighbour

b) (i) Four (ii) Two

        14.The No of molecule per unit cell is 4
                      N = ZxM
                            a3  xd
Z=4. M=78.08 g mol-1 ,a=5.46x10-8, d=3.18 g cm -3
NA =4x78.08
(5.46x 10-8)3 X3.18

=6.03x1023cm

15.Conductor According to band theory the energy gap is very small in conductor Semiconductor: According to band theory the energy gap is more than conductor but less than insulator



17.Let the edge length is a, radius of atom = r ,V of cube = a3
      AB = r+r
       A=2r
       Volume of cube = (2r)3 = 8r3
       No of atom in simple cube = 1
       Volume of one atom = 4/3 Ï€r3
Solid state previous year questions CBSE


 

                                       
Packing fraction = 4/3 Ï€r3  x100  = 52.4%
                                   8r3
18. Moles of aluminium = Mass/ molecular mass
We know that one unit f.c.c., No. of atoms = 4                                              nAl =8.1/2.7 =0.3moles
4 - atoms are found in unit cell = 1
1- atoms are found in unit cell =1/4
 (1 mole) NA atoms are found in unit cell = NA/4
0.3 moles atoms are found in unit cell = NA/4x0.3= 0.075xNA

Three Marks Questions:

1.       d= ZxM
    a3 x NA

7.87=Z x 56
     (290 x 10-10)3 x 6.02 x 102

Z=2 bcc structure

2.       a.) In cubic close packing structure
 4r=√2a
r = 125x10-12 m
 a=4r/√2 = r2√2 = 125x 10-12 x 2√2 = 354pm

b) a3 = (354x10-12 m)3
 a= 44.21x10-30 m3
No. of unit cell in 1 cm3 =  total value/V. of one unit cell = 10-6  m3 2.261x1023  unit cell             
 
                                                                                                  44.21 x 10-30 m3

3.       The solids with intermediate conductivities between insulators and conductors are termed semiconductors
(i) n-type semiconductor : It is obtained by doping Si or Ge with a group 15 element like P. Out of 5 valence electrons  only 4 are involved in bond formation and the fifth electron is delocalized and can be easily provided to the conduction band. The conduction is thus mainly caused by the movement of electron.

(ii) p-type semiconductor: It is obtained by doping Si or Ge with a group 13 element like Gallium which contains only 3 valence electrons. Due to missing of 4th valence electron, electron hole or electron vacancy is created. The movement of these  positively charged hole is responsible for the conduction

4.       i.)Because after doping the phosphorus as the conductance is intermediate between conductor & Insulator

ii) Because in Schottky defect equal no of cation & anion is missing
iii) Because in day ,glass is heating but in night, glass is cooling e.g. annealing after some year glass acquired crystalline structure.

5.       M = d xa3 x NA
               Z
=10.5 g cm3 x(4.077 x 10-8 )3x6.023 x 1023
                                     4
=107.143

6.       See solution of question No. 3 (Three Marks)

7.       (i) Paramagnetism : Materials which are weakly attracted by magnetic fields are called paramagnetic materials and the property that exhibited is called paramagnetism. Paramagnetic substances contain unpaired electrons, e.g. TiO,CuO,O2 and VO2  etc.
(ii) Piezoelectric effect: When the electricity is produced by applying mechanical stress polar crystals, is known as piezoelectric effect. Quartz show this property

(iii) Frenkel defect in crystals: Frenkel defect occurs when an atom or ion (generally cation) leaves the normal site in the crystal -lattice (creating a vacancy) and occupies on interstitial site. This defect is generally found is silver halides because of the small size of Ag+  ions.

8.       i.)Because in Frenkel defect size of cation should be smaller than the size of anion so cation goes to void.

(ii) When silicon doped with impurities like boron positive hole is formed when is doped with arsenic free electron present.

9.       145.03 pm
In fcc d = a/√2

r=a/2√2  = 409/ 2√2 =144.6 pm

10.   NA   =    ZxM
 1      a3 x NA

NA  = 2x56g mol-1
          (286.65x 10-10)3 x7.87
NA = 6 x 10-23

11.   1.7494,10-8 cm.
a3= ZxM
     d x NA
a3  =  4x207
       6.02 x1023 x11.35

r=a/2√2  ,  r = 4.948x10-8  cm                                        a = 4.948 x 10-8cm
                          2 x 1.4142


12.    d= ZxM
    a3 x NA

 a=281 pm

13.   4 (fcc)

14.    Molar mass of the given element, 27 g mol-1 = 0.027 kg mol-1
Edge length, =4.05x 10-8 cm = 4.05x10-10 m
Density, =2.7 g cm-3 = 2.7x103
 Applying the relation
d= ZxM
    a3 x NA

Where, Z is number of atoms in the unit cell and NA is the Avogadro number
 Z=d xa3 xNA 
             M
= 2.7x103 (4.05 x 10-10)3 x6.022x1023/ 0.027 = 4
 Since the number of atoms in the unit cell is four, the given cubic unit cell has face-centred cubic (fcc) or cubic-close packed (ccp) structure.

15.   Volume of unit cell = a3 [ a= edge length ] = 400 pm
= (400 x 10-12m)3 =(400 x 10-10cm)3  = 64*10-24 cm3

Volume of 208 g of the Element = mass/ density
=208g/7g cm -3  = 29.71 cm3
No. of unit cells in this volume = volume of 208 g of element
                                                            volume of one unit cell
=29.71/64 x 10 -24 = 0.46 x 1024
Since each fcc unit cell contains 4 atoms therefore ,total no of atoms in 208 g
 =4 x 0.46 x1024
=1.84 x 1024 atoms

16.   Molecular mass of element = 300 x 6 x 1023  = 90 amu
                                                          2x1024

Density = Z M
                    N0xa3

=4x90
6 x 1023 x ( 250 x 10-10)3

=4x90   g/cc
6x 2.5x 2.5 x 2.5 x 10-1

17.    On the basis of intermolecular forces: - (i) Silicon carbide : - Covalent network solid (Covalent Bonding)
 (ii) Argon : - Non-polar molecular solid which posses dispersion or london forces.

(b) Žinc oxide is white in colour at room temperature. On heating it loses oxygen & turns yellow

Zno - Zn2+ + ½ O2 + 2e-
 the excess Zn2+ ions move to interstitial sites and the electron to neighbouring interstitial sites

(c) Some of the compound like Zns, CdSe and HgTe are example of group 12 - 16 compound.In these compound bonds are having same ionic character along with covalent.

Check out : Electrostatics Five mark questions with answers for CBSE Class 12 (previous year )

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