Physics

Electrostatics
Current Electricity
Magnetic Effects of Current and Magnetism
Electromagnetic Induction and Alternating Currents
Dual Nature of Matter and Radiation
Physical World and Measurement
Kinematics
Vectors
Laws of Motion
Work, Energy and Power
Motion of System of Particles and Rigid Body
Gravitation
Properties of Bulk Matter
Thermodynamics
Behaviour of Perfect Gas and Kinetic Theory
Oscillations and Waves
Electromagnetic Waves
Optics
Atoms and Nuclei
Electronic Devices & Semiconductor
Communication System
Physics

Chemistry

Hydrocarbons
Chemistry
Some Basic Concepts of Chemistry
Structure of Atom
Classification of Elements and Periodicity in Properties
Chemical Bonding and Molecular Structure
States of Matter: Gases and Liquids
Equilibrium
Redox Reactions
Hydrogen
s-Block Element (Alkali and Alkaline earth metals)
Some p-Block Elements
Organic Chemistry- Some Basic Principles and Techniques
Environmental Chemistry
Solid State
Solutions
Thermodynamics
Electrochemistry
Chemical Kinetics
Surface Chemistry
General Principles and Processes of Isolation of Elements
p-Block Elements
d and f Block Elements
Coordination Compounds
Haloalkanes and Haloarenes
Alcohols, Phenols and Ethers
Aldehydes, Ketones and Carboxylic Acids
Organic Compounds Containing Nitrogen
Amines
Biomolecules
Polymers
Chemistry in Everyday Life

Mathematics

Sets, Relations and Functions
Mathematical Reasoning
Statistics and Probability
Properties of Triangle
Vectors and Three-Dimensional Geometry
Linear Programming
Matrices and Determinants
Mathematics
Trigonometric Ratios & Identities
Algebra
Permutations and Combinations
Coordinate Geometry
Circle and System of Circles
Calculus
Logarithm, Indices, Surds and Partial Fraction
Progressions
Correlation and Regression

Q 1.

Correct4

Incorrect-1

The edge length of a face-centered cubic unit cell is {tex}508{/tex} pin. If the radius of the cation is {tex} 110 \mathrm { pm } {/tex}, the radius of the anion is

{tex} 144 \mathrm { pm } {/tex}

{tex} 288 \mathrm { pm } {/tex}

{tex} 618 \mathrm { pm } {/tex}

{tex} 398 \mathrm { pm } {/tex}

Q 2.

Correct4

Incorrect-1

Analysis show that nickel oxide consists of nickel ion with {tex} 96 \% {/tex} ions having {tex} \mathrm { d } ^ { 8 } {/tex} configuration and {tex} 4 \% {/tex} having {tex} \mathrm { d } ^ { 7 } {/tex} configuration. Which amongst the following best represents the formula of the oxide?

{tex} \mathrm { Ni } _ { 1.02 } \mathrm { O } _ { 1.00 } {/tex}

{tex} \mathrm { Ni } _ { 0.96 } \mathrm { O } _ { 1.00 } {/tex}

{tex} \mathrm { Ni } _ { 0.98 } \mathrm { O } _ { 0.98 } {/tex}

{tex} \mathrm { Ni } _ { 0.98 } \mathrm { O } _ { 1.00 } {/tex}

Q 3.

Correct4

Incorrect-1

The {tex} \gamma {/tex} -form of iron has fcc-structure (edge length {tex} 386 \mathrm { pm } {/tex} ) and {tex} \beta {/tex} -form has bcc structure (edge length {tex} 290 \mathrm { pm } {/tex} ). The ratio of density in {tex} \gamma {/tex} -form and {tex} \beta {/tex} -form is

0.9788

1.02

1.57

0.6344

Q 4.

Correct4

Incorrect-1

What is the maximum number of layers of atoms in close packed planes that will lie within two imaginary parallel planes having a distance between them of {tex} 13 \sqrt { \frac { 2 } { 3 } } r {/tex} (where {tex} r {/tex} is the radius of atom ) in the copper crystal (fcc)?

(Consider the atoms to be within the parallel planes if their centers are on or with in the two parallel planes)

5

6

7

8

Q 5.

Correct4

Incorrect-1

The packing fraction for a body-centered cube is

0.42

0.53

0.68

0.82

Q 6.

Correct4

Incorrect-1

The coordination number of {tex}\mathrm {Al} {/tex} in the crystalline state of {tex}\mathrm {AlCl } _ { 3 } {/tex} is

2

4

6

8

Q 7.

Correct4

Incorrect-1

When molten zinc is cooled to solid state, it assumes hcp structure. Then the number of nearest neighbours of zinc atom will be

4

6

8

12

Q 8.

Correct4

Incorrect-1

A molecule {tex} \mathrm {A _ { 2 } B ( M w = 166.4 }) {/tex} occupies triclinic lattice with {tex} a = 5 {\text{Å}} , b = 8{\text{Å}} {/tex} and {tex} c = 4{\text{Å}} {/tex} If the density of {tex} \mathrm {A B} _ { 2 } {/tex} is {tex} 5.2 \mathrm { g } \mathrm { cm } ^ { - 3 } {/tex}, the number of molecules present in one unit cell is

2

3

4

5

Q 9.

Correct4

Incorrect-1

What type of crystal defect is indicated in the diagram given below

Both Frenkel and Schottky defects

Schottky defect

Interstitial defect

Frenkel defect

Q 10.

Correct4

Incorrect-1

The number of hexagonal faces that are present in a truncated octahedron is

2

4

6

8

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