NEET and AIPMT NEET Chemistry The Solid State MCQ Questions Solved

If NaCl is doped with 10-4 mol % of SrCl2, the concentration of cation vacancies will be (NA = 6.023 x 1023 mol-1)

(a) 6.023 x 1015 mol-1                                            (b) 6.023 x 1016 mol-1

(c) 6.023 x 1017 mol-1                                            (d) 6.023 x 1014 mol-1

Concept Videos :-

#9 | FCC Unit Cell: Packing Fraction
#20 | Rank of HP Unit Cell
#21 | Packing Fraction of HP Unit Cell
#24 | Density of Unit Cell

Concept Questions :-

Density/Formula/packing fraction/ Semiconductors

(c) Doping of NaCl with 10-4 mol % of SrCl2 means, 100 moles of NaCl are doped with 10-4  mol of SrCl2.

... 1 mol of NaCl is doped with

SrCl2 = 10-4/100 = 10-6 mole

As each Sr2+ ion introduces one cation vacancy.

... Concentration of cation vacancies

= 10-6 mol/mol of NaCl

= 10-6 x 6.023 x 1023 mol-1

= 6.023 x 1017 mol-1

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CsCl crystallises in body-centred cubic lattice. If 'a' is its edge length then which of the following expressions is correct?

(a) rCs+ + rCl- = 3a

(b)  rCs+ + rCl- = 3a/2

(c)  rCs+ + rCl- = ($\sqrt{3}$/2)*a

(d) rCs+ + rCl-$\sqrt{3a}$

Concept Videos :-

#0 | Introduction to Solid State
#1 | Introduction to Unit Cell
#2 | Types of Unit Cell
#3 | Simple Cubic Unit Cell: Rank (z)
#6 | Body Centred Cubic (BCC) Unit Cell
#8 | Face Centred Cubic (FCC) Unit Cell
#12 | Hexagonal Close Packing Arrangement
#13 | Cubic Close Packing Arrangement
#14 | Layer Arrangement in FCC
#25 | Ionic Structure of Rock Salt

Concept Questions :-

Introduction and Type of Crystal System

(C) For bcc if edge length is a, then

rCs+ + rCl- = ($\sqrt{3}$/2)*a

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The phenomenon in which polar crystals on heating produce electricity is called:-
(a) pyro-electricity
(b) piezo-electricity
(c) ferro-electricity
(d) ferri-electricity

Concept Videos :-

Concept Questions :-

Magnetic Behaviour of an Element/Compound

(a) It is the defination of pyro-electricity.

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The edge length of cube is 400pm. Its body diagonal would be-

(A) 500 pm
(B) 693 pm
(C) 600 pm
(D) 566 pm

Concept Videos :-

#0 | Introduction to Solid State
#1 | Introduction to Unit Cell
#2 | Types of Unit Cell
#3 | Simple Cubic Unit Cell: Rank (z)
#6 | Body Centred Cubic (BCC) Unit Cell
#8 | Face Centred Cubic (FCC) Unit Cell
#12 | Hexagonal Close Packing Arrangement
#13 | Cubic Close Packing Arrangement
#14 | Layer Arrangement in FCC
#25 | Ionic Structure of Rock Salt

Concept Questions :-

Introduction and Type of Crystal System

(B). Since in body centre cubic, the body diagonal
=√3a =√3 x 400pm = 692.82 pm or say 693 pm

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Metals have conductivity of the order of (ohm-1 cm-1):-

(a)1012
(b)108
(c)102
(d)10-6

Concept Videos :-

#9 | FCC Unit Cell: Packing Fraction
#20 | Rank of HP Unit Cell
#21 | Packing Fraction of HP Unit Cell
#24 | Density of Unit Cell

Concept Questions :-

Density/Formula/packing fraction/ Semiconductors

(b) The conductance order of metals is 106 to 108 ohm-1 cm-1.

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Total volume of atoms present in a face centred cubic unit cell of a metal is ( r is atomic radius):

(A) 20/3 $\pi$r3

(B)  24/3 $\pi$r3

(C)  12/3 $\pi$r3

(D)  16/3 $\pi$r3

Concept Videos :-

#5 | Simple Cubic Unit Cell: Coordination Number
#10 | FCC Unit Cell: Coordination Number
#15 | Tetrahedral Voids
#16 | Octahedral Voids
#17 | Position of Tetrahedral Voids in FCC
#18 | Position of Octahedral Voids in FCC
#19 | Hexagonal Primitive (HP) Unit Cell
#22 | Coordination Number of HP Unit Cel

Concept Questions :-

(D) Volume of atoms in cell = 4/3 $\pi$r3 x n (n =4 for fcc)

=  4/3 x $\pi$r3 x 4 = 16/3 $\pi$r3

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A solid PQ have rock salt type structure in which Q atoms are at the corners of the unit cell. If the body centred atoms in all the units cells are missing, the resulting stoichiometry will be

(A) PQ

(B) PQ2

(C) P3Q4

(D) P4Q3

Concept Videos :-

#9 | FCC Unit Cell: Packing Fraction
#20 | Rank of HP Unit Cell
#21 | Packing Fraction of HP Unit Cell
#24 | Density of Unit Cell

Concept Questions :-

Density/Formula/packing fraction/ Semiconductors

(C) In rock salt structure, atoms at the corner are also present at the face centres and hence

ZQ=8 x 1/8 + 6 x 1/2 =4

And, the atoms at body centre also present at edge centres. But from question, body centres are missing and hence

ZP = 12 x 1/4 = 3

Formula of resulting solid - P3Q4.

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Lithium borohydride (LiBH4), crystallises in an orthorhombic system with 4 molecules per unit cell. The unit cell dimensions are:- a = 6.81 Å , b = 4.43 Å ,c = 717 Å. If the molar mass of LiBH4 is
21.76 g mol-1.The density of the crystal is:-

(A) 0.668 gcm-3
(B) 0.585 gcm2
(C) 1.23 gcm-3

(D) None of these

Concept Videos :-

#9 | FCC Unit Cell: Packing Fraction
#20 | Rank of HP Unit Cell
#21 | Packing Fraction of HP Unit Cell
#24 | Density of Unit Cell

Concept Questions :-

Density/Formula/packing fraction/ Semiconductors

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The arrangement of Xions around A+ ion in solid AX is given in the figure (not drawn to scale).
If the radius of X is 250 pm,the radius of A+ is:

(a)104 pm
(b)125 pm
(c)183 pm
(d) 57 pm

Concept Videos :-

#5 | Simple Cubic Unit Cell: Coordination Number
#10 | FCC Unit Cell: Coordination Number
#15 | Tetrahedral Voids
#16 | Octahedral Voids
#17 | Position of Tetrahedral Voids in FCC
#18 | Position of Octahedral Voids in FCC
#19 | Hexagonal Primitive (HP) Unit Cell
#22 | Coordination Number of HP Unit Cel

Concept Questions :-

(a) The figure represents an octahedral void
rA+/ rX-=0.414

rA+=0.414x250=104 pm

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In an f.c.c. unit cell. atoms are numbered as shown below.The atoms not touching each other are (Atom numbered 3 is face centre of front face).

(A) 3&4
(B) 1&3
(C) 1&2
(D) 2&4

Concept Videos :-

#0 | Introduction to Solid State
#1 | Introduction to Unit Cell
#2 | Types of Unit Cell
#3 | Simple Cubic Unit Cell: Rank (z)
#6 | Body Centred Cubic (BCC) Unit Cell
#8 | Face Centred Cubic (FCC) Unit Cell
#12 | Hexagonal Close Packing Arrangement
#13 | Cubic Close Packing Arrangement
#14 | Layer Arrangement in FCC
#25 | Ionic Structure of Rock Salt

Concept Questions :-

Introduction and Type of Crystal System

(C) Atoms along one edge or at corners do not touch each other in fee cell.

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