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

Equal weights of methane and oxygen are mixed in an empty container at {tex} 25 ^ { \circ } \mathrm { C } {/tex}. The fraction of the total pressure exerted by oxygen is

{tex} \frac { 1 } { 3 } {/tex}

{tex} \frac { 1 } { 2 } {/tex}

{tex} \frac { 2 } { 3 } {/tex}

{tex} \frac { 1 } { 3 } \times \frac { 273 } { 298 } {/tex}

Q 2.

Correct4

Incorrect-1

The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

Critical temperature

Boyle temperature

Inversion temperature

Reduced temperature

Q 3.

Correct4

Incorrect-1

Helium atom is two times heavier than a hydrogen molecule. At {tex} 298 \mathrm { K } , {/tex} the average kinetic energy of a helium atom is

two times that of a hydrogen molecule.

same as that of a hydrogen molecule.

four times that of a hydrogen molecule.

half that of a hydrogen molecule.

Q 4.

Correct4

Incorrect-1

Rate of diffusion of a gas is:

directly proportional to its density.

directly proportional to its molecular weight.

directly proportional to the square root of its molecular weight.

inversely proportional to the square root of its molecular weight.

Q 5.

Correct4

Incorrect-1

A bottle of dry ammonia and a bottle of dry hydrogen chloride connected through a long tube are opened simultaneously at both ends the white ammonium chloride ring first formed will be

at the centre of the tube.

near the hydrogen chloride bottle.

near the ammonia bottle.

throughout the length of the tube.

Q 6.

Correct4

Incorrect-1

The rate of diffusion of methane at a given temperature is twice that of a gas {tex} X . {/tex} The molecular weight of {tex} X {/tex} is

64

32

4

8

Q 7.

Correct4

Incorrect-1

According to kinetic theory of gases, for a diatomic molecule

the pressure exerted by the gas is proportional to mean velocity of the molecule

the pressure exerted by the gas is proportional to the root mean velocity of the molecule

the root mean square velocity of the molecule is inversely proportional to the temperature

the mean translational kinetic energy of the molecule is proportional to the absolute temperature.

Q 8.

Correct4

Incorrect-1

The ratio between the root mean square speed of {tex} \mathrm { H } _ { 2 } {/tex} at {tex} 50 \mathrm { K } {/tex} and that of {tex} \mathrm { O } _ { 2 } {/tex} at {tex} 800 \mathrm { K } {/tex} is,

4

2

1

{tex} \frac{1}{4} {/tex}

Q 9.

Correct4

Incorrect-1

{tex} \mathrm { XmL } {/tex} of {tex} \mathrm { H } _ { 2 } {/tex} gas effuses through a hole in a container in 5 seconds. The time taken for the effusion of the same volume of the gas specified below under identical conditions is:

10 seconds : {tex} \mathrm { He } {/tex}

20 seconds : {tex} \mathrm { O } _ { 2 } {/tex}

25 seconds : {tex} \mathrm { CO } {/tex}

55 seconds : {tex} \mathrm { CO } _ { 2 } {/tex}

Q 10.

Correct4

Incorrect-1

The compressibility factor for an ideal gas is

15

1

2

{tex}\infty{/tex}

Q 11.

Correct4

Incorrect-1

A gas will approach ideal behaviour at

low temperature and low pressure.

low temperature and high pressure.

high temperature and low pressure.

high temperature and high pressure.

Q 12.

Correct4

Incorrect-1

The compressibility of a gas is less than unity at STP. Therefore,

{tex} V _ { m } > 22.4 \mathrm { litres } {/tex}

{tex} V _ { m } < 22.4 \mathrm { litres } {/tex}

{tex} V _ { m } = 22.4 {/tex} litres

{tex} V _ { m } = 44.8 \mathrm { litres } {/tex}

Q 13.

Correct4

Incorrect-1

At {tex} 100 ^ { \circ } \mathrm { C } {/tex} and {tex} 1 \mathrm { atm } , {/tex} if the density of liquid water is {tex} 1.0 \mathrm { g } \mathrm { cm } ^ { - 3 } {/tex} and that of water vapour is {tex} 0.0006 \mathrm { g } \mathrm { cm } ^ { - 3 } , {/tex} then the volume occupied by water molecules in {tex}1{/tex} litre of steam at that temperature is

{tex} 6 \mathrm { cm } ^ { 3 } {/tex}

{tex} 60 \mathrm { cm } ^ { 3 } {/tex}

{tex} 0.6 \mathrm { cm } ^ { 3 } {/tex}

{tex} 0.06 \mathrm { cm } ^ { 3 } {/tex}

Q 14.

Correct4

Incorrect-1

When the temperature is increased, surface tension of water

increases

decreases

remains constant

shows irregular behaviour

Q 15.

Correct4

Incorrect-1

The ratio of the rate of diffusion of helium and methane under identical condition of pressure and temperature will {tex} \mathrm { be } {/tex}

4

2

1

0.5

Q 16.

Correct4

Incorrect-1

A mono-atomic ideal gas undergoes a process in which the ratio of {tex} P {/tex} to {tex} V {/tex} at any instant is constant and equals to {tex} 1 . {/tex} What is the molar heat capacity of the gas

{tex} \frac { 3 R } { 2 } {/tex}

{tex} 2 R {/tex}

{tex}0{/tex}

{tex} \frac { 5 R } { 2 } {/tex}

Q 17.

Correct4

Incorrect-1

For one mole of a van der Waal's gas when {tex} b = 0 {/tex} and {tex} \mathrm { T } = 300 \mathrm { K } , {/tex} the {tex} \mathrm { PV } {/tex} vs, {tex} 1 / \mathrm { V } {/tex} plot is shown below. The value of the van der Waal's constant {tex} a ( \mathrm { atm } . \text { liter } ^ { 2 } \mathrm { mol } ^ { - 2 } {/tex} ) is:

1.0

4.5

1.5

3.0

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