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Solid State Test - 52

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Solid State Test - 52
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  • Question 1
    1 / -0
    Hexagonal close packing is found in crystal lattice of:
    Solution
    Co-ordination number in $$HCP = 12$$

    Co-ordination number in $$Mg$$ $$= 12$$.
  • Question 2
    1 / -0
    How many lithium atoms are present in a unit cell with edge length $$3.5\mathring { A } $$ and density $$\quad 0.53gcm^{ -3 }$$ ? (Atomic mass of Li =6.94) 
    Solution
    The number of Li atoms in a unit cell is 2.

    The density of the atom is given by the expression

    density=(Zm/N(a^3))

    Here, Z is the number of atom in a unit cell, m is the molecular mass of the atom, N is the Avogadro's number, and a is edge length

    Plugging the values in the above equation

    0.53=

    z=2

    Therefore the number of atom in a unit cell of Li is 2.

  • Question 3
    1 / -0
    Packing efficiency of hcp structure is _________.
    Solution

    Both ccp and hcp are highly efficient lattice; in terms of packing. The packing efficiency of both types of close packed structure is 74%, i.e. 74% of the space in hcp and ccp is filled. The hcp and ccp structure are equally efficient; in terms of packing.

    The packing efficiency of simple cubic lattice is 52.4%. And the packing efficiency of body centered cubic lattice (bcc) is 68%.

  • Question 4
    1 / -0
    The number of carbon atoms in the unit cell of diamond is ___
    Solution
    8
    Total no. of atoms present in a diamond cubic unit cell is 1 + 3 + 4 = 8. Since each carbon atom is surrounded by four more carbon atoms,the co-ordination number is 4.
  • Question 5
    1 / -0
    The atom that present in the centre of BCC unit cell share with how many unit cells?
    Solution
    The face-centered cubic (fcc) has a coordination number of 12 and contains 4 atomsper unit cell. The body-centered cubic (bcc) has a coordination number of 8 and contains 2 atoms per unit cell. The simple cubic has a coordination number of 6 and contains 1 atom per unit cell
  • Question 6
    1 / -0
    In NaCI unit cell if all the ions lying along the axis as shown in the figure are removed. the number of $${ Na }^{ + }$$ and $${ CI }^{ - }$$ remaining in the unit cell are.

    Solution
    NaCl is a kind of FCC

    unit cell


    *Anions are involved in closepacking. So Cl^-ions will be present at all the corners as well as at centre of each face

           Contribution of one anion at corner= 1/8

        Total contribution = 1/8 × no. of corners = 1/8 × 8= 1

     Contribution of one anion at face centre = ½

       Total contribution = 1/2×no. Of faces = 1/2×6= 3

    So, total number of anions =1+3 = 4


    * Cations move to the voids . So Na+ ions will be present in the octahedral voids ( they don't move to tetrahedral voids as they are larger in size than the tetrahedral voids).

           No. Of octahedral voids = no. Of constituent particles = 4

    So, we have total 4 Na + ions in a unit cell

    = 4 Na+ ions and 4 Cl- ions.

  • Question 7
    1 / -0
    The co-ordination number of hexagonal close packing:
  • Question 8
    1 / -0
    The number of spheres contained (i) in one body centred cubic unit cell and (ii) in one face centred cubic unit cell, is:
    Solution
    The number of spheres in one body centred cubic and in one face centred cubic unit cell is $$2$$ and $$4$$ respectively.

    A IS CORRECT OPTION
  • Question 9
    1 / -0
    The three dimensional graph of lattice points which sets the pattern for the whole lattice is called:
    Solution
    The three dimensional graph of lattice points which sets the pattern for the whole lattice is called unit cell

    Hence C is correct option
  • Question 10
    1 / -0
    Which of the following is not a characteristic of a crystalline solid?
    Solution
     $$Anisotropy:$$ Crystalline solids are anisotropic in nature, that is some of their physical properties like electrical resistance or refractive index show different values when measured along different directions in the same crystal. This arises from different arrangement of particles in different directions arrangement of particles along different directions.

    $$Isotropy:$$ It is a characteristic of amorphous solid. Physical properties like electrical resistance or refractive index show same values when measured along different directions.
    Option B is correct.
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