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Solid State Tes...

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  • Question 1
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    In a face centred unit cell with all the positions occupied by A atoms, the body centred octahedral holes in it is occupied by an atom B of an appropriate size.

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    Calculate the void fraction per unit volume of unit cell for such crystal.

  • Question 2
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    An element (atomic mass $$100\ g/mol$$) having $$BCC$$ structure has unit cell edge $$400\ pm$$. The density of element is: 

    (No. of atoms in $$BCC, Z = 2$$)

  • Question 3
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    The crystal system of a compound with unit cell dimension $$"a = 0.387, b = 0.387$$ and $$c = 0.504\ nm$$ and $$\alpha = \beta = 90^{\circ}$$ and $$\gamma = 120^{\circ}"$$ is :

  • Question 4
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    Directions For Questions

    In crystalline solids, atoms or molecules are arranged in a regular and long range order fashion in a three dimensional pattern. These have sharp melting point, flat faces, sharp edges, bounded by well defined planes. A large number of unit cells each of which possess a definite geometry bounded by plane faces give rise to the formation of a crystal. A point at the corner of unit cell contributes for $$\dfrac 18$$ of each such point to unit cell. A point along an edge contribute for $$\dfrac 14$$ of each such point to unit cell. A body centred point contributes for $$1$$ each such points to unit cell. Co-ordination number is the number of nearest neighbours that each ion is surrounded by an oppositely charged ions. Radius of unit cell in sc, fcc and bcc is $$\displaystyle\frac{a}{2},\:\frac{a}{2\sqrt2}$$ and $$\dfrac{\sqrt3a}{4}$$, where $$a$$ is edge length of cell.

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    Packing factors for a body centred cubic and simple cubic structure are, respectively :

  • Question 5
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    The efficiency of packing is $$68\%$$ in:

  • Question 6
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    The density of solid argon is $$1.65 g$$ per cc at $$-233$$. If the argon atom is assumed to be a sphere of radius $$1.54\times { 10 }^{ -8 } cm$$, what percent of solid argon is apparently empty space? $$\left( Ar=40 \right) $$

  • Question 7
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    Certain crystals produce electric signals on application of pressure. This phenomenon is called:

  • Question 8
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    Shortest distance between two tetrahedral voids is:

  • Question 9
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    Which of the following compounds represents an inverse $$2 : 3$$ spinel structure?

  • Question 10
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    At room temperature, sodium crystallises in body-centred cubic lattice with $$a = 4.24\overset {\circ}{A}$$. 

    Calculate the theoretical density of sodium. (Atomic mass of $$Na = 23.0$$)

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