DPP 3 (Solid State) : 4 Floor, 415, Hariom Tower, Circular Road, Ranchi-1, Ph.:0651-2563332, Mob.: 9334191806, 6206564296

DPP 3 (Solid State)
A- 1 > ‘K’ crystallised in a bcc lattice. What is the approximate no. of unit cell in 4g’K.
A- 2 > The no. of atoms in 100 gm of an FCC crystal with density d = 10 g/cm 3 and cell edge as 200 pm is equal to
(a) 3 × 1025 (b) 0.5 × 1025 (c) 0.5 × 1025 (d) 0.5 × 1025
A- 3 > Sodium metal crystallises in bcc lattice with the cell edge a = 4.29Å. What is the radius of sodium atom?
A- 4 > An element occurring in the BCC structure has 12.08 × 1023 unit cell. The total no. of atoms of the element in these
cells will be
(a) 24.16 × 1023 (b) 36.18 × 1023 (c) 6.04 × 1023 (d) 12.08 × 1023
A- 5 > The rank of a cubic unit cell is 4. The type of cell as
(a) Body centred (b) Face centred (c) Primitive (d) None of these
A- 6 > The no. of atoms contained in FCC unit cell of a diatomic molecular solid is
(a) 8 (b) 2 (c) 4 (d) 6
A- 7 > Three elements A, B & C crystallise into a cubic lattice. Atoms A occupy the corners, B atoms, the cube centres and
C atoms at the edge. The formula of the compound is
(a) ABC (b) ABC2 (c) ABC3 (d) ABC4
A- 8 > A cubic crystalline solid contain X-atom at the corners, Y-atom at the body centres. If one atom from the corner is
missing. What will be the simplest formula of the resulting solid?
B- 1 > A compound formed by elements A & B has a cubic structure in which A-atom are at the corner of cube and also at
the face centres. B-atoms are present at the body centre and at the edge centre of the cube (AB)
(a) Calculate total effective no. of atoms in unit cell & formula of the compound.
(b) If all the atoms are removed from one of the body diagonals of cube calculate formula of the compound. (A5B4)
(c) If all the atoms forms from the diagonals of one of the face of the cube are removed calculate formula of the
compound (A3B4)
(d) If all the atoms are removed from one of the plane passing through the midile of the cube. Calculate formula of
compound. (AB)
(e) If all the actoms are removed from one of the axis passing through. One of the face centre of the cube calculate
formula of compound. (AB)
B- 2 > (a) What is the formula of crystal and also (b) What is the formula of crystal?
calculate oxidation number of Ti?
O → Ca, O → X,
•→O, →M
→ Ti
4th Floor, 415, Hariom Tower, Circular Road, Ranchi-1, Ph.:0651-2563332, Mob.: 9334191806, 6206564296
C- 1 > A compound formed by elements X and Y has a cubic structure in which X-atoms are at the corner of the cube and
also at alternate face centre. Y-atoms are present at the body centre and also at the alternate edge centre of the cube.
(a) Calculate no. of atoms per unit cell& formula of compound.
(b) If all the atoms are removed from one of the plane passing through the middle of the cube which contains atoms
both on the edge centre as well as on the face centre, calculate formula of the compound.
(c) If all the atoms are removed from one of the plane passing through the middle of the cube which contains atom
only on the edge centre but not on the face centre, calculate formula.
(d) If all the atoms are removed from one of the axis passing through the middle of the cube not containing face
centre atom. Calculate formula.
A- 10 > The simple cubic lattice consist of eight identical spheres of radius R in contact. Placed at the corners of a cube.
What is the volume of the cubical box that will just enclose these eight spheres & what fraction of this volume is
actually occupied by the spheres?
B- 3 > The packing efficiency of two dimensional square unit cell shown below is
(a) 39.27%
(b) 68.02%
l
(c) 74.05%
(d) 78.54%
B- 4 > A uniform cylindrical polymer molecules crystallised in body centred cubic array. Determine the packing fraction of
this polymer is solid state assuming that molecules are in their closest contact. (78.5 %)
C- 2 > An element A has a BCC structure and another guest atoms B of largest possible size, are present at the face centres.
But without disturbing the unit cell dimension. Determine the packing fraction of solid? (0.684)
C- 3 > An element A has BCC structure and another guest atom B, of possible size are present at each edge centres of unit
cell of A. But without disturbing the original unit cell dimension. Determine the packing fraction of crystal.
Answer
DPP 1:-
(A-2) 3 (A-3) 5 (A-4) 4 (B-1) d (B-2) (i) Q, (ii) S, (iii) P
(A-5) c (A-6) d (A-8) d (A-9) b
DPP 2:-
(A-2) b (B-1) c (C-1) 2Å (A-4) – 6 (A-5) –1 (B-3) d
(B-4) a (C-2) (a) (i) PS, (ii) PQ, (iii) Q (iv) Q, R
4th Floor, 415, Hariom Tower, Circular Road, Ranchi-1, Ph.:0651-2563332, Mob.: 9334191806, 6206564296

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