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Solid State Tes...

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  • Question 1
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    Directions For Questions

    Density of a unit cell is represented as
    $$\rho = \dfrac{Effective \,no. \,of \,atom(s) \times Mass \,of \,a \,unit \,cell}{Volume \,of \,a \,unit cell} = \dfrac{Z.M.}{N_{A}.a^{3}}$$
    where, mass of unit cell  = mass of effective no. of atom(s) or ion(s).
    M = At. wt. / formula wt.
    $$N_{A}$$ = Avogadro's no. $$\Rightarrow 6.023 \times 10^{23}$$
    a = edge length of unit cell

    ...view full instructions

    Silver crystallizes in a fcc lattice and has a density of $$10.6 \,g/cm^3$$. What is the length of an edge of the unit cell ?

  • Question 2
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    An element crystallizes in a structure having FCC unit cell of an edge length $$200$$ pm. If $$200$$ g of this element contains $$24\times 10$$ $$^{23}$$ atoms, the density (in g/cc) of the element is :

  • Question 3
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    A solid made up of ions of A and B possesses an edge length of unit cell equal to $$0.564$$ nm has four formula units. Among the two ions, the smaller one occupies the interstitial void and the larger ions occupy the space lattice with ccp type of arrangement. One molecule of solid has mass as $$9.712\times10^{-23}$$ g. The density (in g cm$$^{-3}$$) of solid is:

  • Question 4
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    An element crystallizes in a structure having FCC unit cell of an edge length $$200$$ pm. Calculate the density (in g cm$$^{-3}$$) if $$200$$ grams of it contains $$24\times 10^{23}$$ atoms.

  • Question 5
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    Assertion: The close packing of atoms in cubic structure is in the order: scp > bcc > ccp.

    Reason:
    $$\text{Packing density} = \dfrac{\text{Volume of unit cell}}{a^{3}} $$

  • Question 6
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    Match the elements in list I with the shape of its crystal in list II.

    List IList II
    A) $$Be$$1) Body-centred cubic
    B) $$Ca$$2) Simple cubic
    C) $$Ba$$3) Face-centred cubic
    D) $$Po$$4) Hexagonal close-packed

  • Question 7
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    If the edge length of an NaH unit cell is $$488$$ pm, what is the length of an Na-H bond if its crystal has fcc structure?

  • Question 8
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    Statement 1: In a crystal of $$Ca$$, the separation of $$(1,1,1)$$ planes is twice as great as that of $$(2,2,2)$$ planes.
    Statement 2: The length of the side of crystal lattice is $$0.556$$ nm $$(\sqrt{12}=3.46)$$.

  • Question 9
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    In a multi layered close-packed structure :

  • Question 10
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    Lithium metal crystallizes in a body-centered cubic crystal. If the length of the side of the unit cell of lithium is 351 pm, the atomic radius of lithium will be:

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