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Solid State Tes...

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  • Question 1
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    If a is the lattice parameter, the volume of an fcc crystal having $$N$$ atoms is :

  • Question 2
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    The physical dimension of unit cells in a crystal lattice:

  • Question 3
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    If A is the molecular mass of an element, a is the edge length and $$N$$ is the Avogadro's number, then the density for simple cubic lattice is :

  • Question 4
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    The lattices of Na and Al are bcc and fcc respectively. Presuming them to be closed packed, their packing fractions are, respectively :

  • Question 5
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    The density of solid argon (atomic mass $$=40$$ amu) is $$1.68$$ g/ml at $$40$$ K. If the argon atom is assumed to be a sphere of radius $${1.50 \times 10^{-8}}$$ cm, then the percentage of solid Ar which is space will be: 

    [use $$N_A=6\times 10^{23}$$]

  • Question 6
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    An atomic solid crystallizes in a body centre cubic lattice and the inner surface of the atoms at the adjacent corner are separated by $$60.3$$ pm. If the atomic weight of A is $$48$$, then the density of the solid is nearly:

  • Question 7
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    The packing efficiency of a simple cubic crystal with an interstitial atom exactly fitting at the body center is:

  • Question 8
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    Sodium (atomic mass $$=23$$ amu) crystallizes in a bcc arrangement with the interfacial separation between the atoms at the edge $$53.6$$ pm. The density (in g cm$$^{-3}$$) of sodium crystal is:

  • Question 9
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    If A is the molecular mass of an element, a is the edge length and $$N$$ is the Avogadro's number, then the density for face-centered cubic lattice is :

  • Question 10
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    Directions For Questions

    Packing fraction of a unit cell is defined as the fraction of the total volume of the unit cell occupied by the atom(s).$$\displaystyle \text{Packing fraction (P.F)} = \dfrac{\text{Volume of the atom (s) present in a unit cell}}{\text{Volume of unit cell}}$$                                          $$=\dfrac {Z \times \dfrac{4}{3} \pi r^{3}}{a^{3}}$$ Percentage of empty space $$=100-\text{P.F}\times 100$$ where $$Z$$  is the effective number of atoms in a cube, $$r$$ is the radius of an atom and $$a$$ is the edge length of the cube.

    ...view full instructions

    Packing fraction in face-centered cubic unit cell is :

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