Physics

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
Electrostatics
Current Electricity
Magnetic Effects of Current and Magnetism
Electromagnetic Induction and Alternating Currents
Electromagnetic Waves
Optics
Dual Nature of Matter and Radiation
Atoms and Nuclei
Electronic Devices & Semiconductor
Communication System
Physics

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
Hydrocarbons
Environmental Chemistry
Solid State
Solutions
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
Thermodynamics
Chemistry

Maths

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

Q 1.

Correct4

Incorrect-1

An astronomical telescope has a large aperture to

reduce spherical aberration

have high resolution

increase span of observation

have low dispersion.

Q 2.

Correct4

Incorrect-1

If two mirrors are kept at {tex} 60 ^ { \circ } {/tex} to each other, then the number of images formed by them is

5

6

7

8

Q 3.

Correct4

Incorrect-1

Electromagnetic waves are transverse in nature is evident by

polarization

interference

reflection

diffraction

Q 4.

Correct4

Incorrect-1

Wavelength of light used in an optical instrument are {tex} \lambda _ { 1 } = 4000 {\textÅ} {/tex} and {tex} \lambda _ { 2 } = 5000 {\textÅ} , {/tex} then ratio of their respective resolving powers (corresponding to {tex} \lambda _ { 1 } {/tex} and {tex} \lambda _ { 2 } {/tex} )

is

{tex} 16 : 25 {/tex}

{tex} 9 : 1 {/tex}

{tex} 4 : 5 {/tex}

{tex} 5 : 4 {/tex}

Q 5.

Correct4

Incorrect-1

Which of the following is used in optical fibres?

total internal reflection

scattering

diffraction

refraction.

Q 6.

Correct4

Incorrect-1

Consider telecommunication through optical fibres. Which of the following statements is not true?

Optical fibres can be of graded refractive index

Optical fibres are subject to electromagnetic interference from outside

Optical fibres have extremely low transmission loss

Optical fibres may have homogeneous core with a suitable cladding.

Q 7.

Correct4

Incorrect-1

To demonstrate the phenomenon of interference, we require two sources which emit radiation

of nearly the same frequency

of the same frequency

of different wavelengths

of the same frequency and having a definite phase relationship

Q 8.

Correct4

Incorrect-1

The image formed by an objective of a compound microscope is

virtual and diminished

real and diminished

real and enlarged

virtual and enlarged

Q 9.

Correct4

Incorrect-1

To get three images of a single object, one should have two plane mirrors at an angle of

{tex} 60 ^ { \circ } {/tex}

{tex} 90 ^ { \circ } {/tex}

{tex} 120 ^ { \circ } {/tex}

{tex} 30 ^ { \circ } {/tex}

Q 10.

Correct4

Incorrect-1

A light ray is incident perpendicularly to one face of a {tex} 90 ^ { \circ } {/tex} prism and is totally internally reflected at the glass-air interface. If the angle of reflection is {tex} 45 ^ { \circ } , {/tex} we conclude that the refractive index {tex} n {/tex}

{tex} n > \frac { 1 } { \sqrt { 2 } } {/tex}

{tex} n > \sqrt { 2 } {/tex}

{tex} n < \frac { 1 } { \sqrt { 2 } } {/tex}

{tex} n < \sqrt { 2 } {/tex}

Q 11.

Correct4

Incorrect-1

A plano convex lens of refractive index 1.5 and radius of curvature {tex}30\, \mathrm { cm } {/tex} . Is silvered at the curved surface. Now this lens has been used to form the image of an object. At what distance from this lens an object be placed in order to have a real image of size of the object

{tex}60\, \mathrm { cm } {/tex}

{tex}30\, \mathrm { cm } {/tex}

{tex}20\, \mathrm { cm } {/tex}

{tex} 80\,\mathrm { cm } {/tex}

Q 12.

Correct4

Incorrect-1

The angle of incidence at which reflected light is totally polarized for reflection from air to glass (refractive index {tex} n {/tex} ) , is

{tex} \tan ^ { - 1 } ( 1 / n ) {/tex}

{tex} \sin ^ { - 1 } ( 1 / n ) {/tex}

{tex} \sin ^ { - 1 } ( n ) {/tex}

{tex} \tan ^ { - 1 } ( n ) {/tex}

Q 13.

Correct4

Incorrect-1

The maximum number of possible interference maxima for slit-separation equal to twice the wavelength in Young's double-slit experiment is

three

five

infinite

Zero

Q 14.

Correct4

Incorrect-1

An electromagnetic wave of frequency {tex} v = 3.0\, \mathrm { MHz } {/tex} passes from vacuum into a dielectric medium with permittivity {tex} \epsilon = 4.0 . {/tex} Then

wave length is halved and frequency remains unchanged

wave length is doubled and frequency becomes half

wave length is doubled and the frequency remains unchanged

wave length and frequency both remain unchanged.

Q 15.

Correct4

Incorrect-1

A fish looking up through the water sees the outside world contained in a circular horizon. If the refractive index of water is {tex} \frac { 4 } { 3 } {/tex} and the fish is 12{tex} \mathrm { cm } {/tex} below the surface, the radius of this circle in {tex} \mathrm { cm } {/tex} is

{tex} \frac { 36 } { \sqrt { 7 } } {/tex}

{tex} 36\sqrt { 7 } {/tex}

{tex} 4\sqrt { 5 } {/tex}

{tex} 36\sqrt { 5 } {/tex}

Q 16.

Correct4

Incorrect-1

Two point white dots are {tex} 1\,\mathrm { mm } {/tex} apart on a black paper. They are viewed by eye of pupil diameter {tex} 3\,\mathrm { mm } {/tex} . Approximately, what is the maximum distance at which these dots can be resolved by the eye? [ Take wavelength of light = {tex} 500 \mathrm { nm } {/tex}]

{tex} 1 \mathrm { m } {/tex}

{tex} 5\mathrm { m } {/tex}

{tex} 3\mathrm { m } {/tex}

{tex} 6\mathrm { m } {/tex}

Q 17.

Correct4

Incorrect-1

A thin glass (refractive index 1.5) lens has optical power of- {tex}5D {/tex} in air. Its optical power in a liquid medium with refractive index 1.6 will be

{tex} - 1 D {/tex}

{tex}1 D {/tex}

{tex} - 25 D {/tex}

{tex}25 D {/tex}

Q 18.

Correct4

Incorrect-1

A Young's double slit experiment uses a monochromatic source. The shape of the interference fringes formed on a screen is

circle

hyperbola

parabola

straight line

Q 19.

Correct4

Incorrect-1

If {tex} I _ { 0 } {/tex} is the intensity of the principal maximum in the single slit diffraction pattern, then what will be its intensity when the slit width is doubled?

{tex} 4I _ { 0 } {/tex}

{tex} 2I _ { 0 } {/tex}

{tex} \frac { I _ { 0 } } { 2 } {/tex}

{tex} I _ { 0 } {/tex}

Q 20.

Correct4

Incorrect-1

When an unpolarized light of intensity {tex} I _ { 0 } {/tex} is incident on a polarizing sheet, the intensity of the light which does not get transmitted is

{tex} \frac { 1 } { 4 } I _ { 0 } {/tex}

{tex} \frac { 1 } { 2 } I _ { 0 } {/tex}

{tex} I _ { 0 } {/tex}

zero

Q 21.

Correct4

Incorrect-1

The refractive index of a glass is {tex}1.520{/tex} for red light and {tex}1.525{/tex} for blue light. Let {tex} D _ { 1 } {/tex} and {tex} D _ { 2 } {/tex} be angles of minimum deviation for red and blue light respectively in a prism of this glass. Then,

{tex} D _ { 1 } < D _ { 2 } {/tex}

{tex} D _ { 1 } = D _ { 2 } {/tex}

{tex} D _ { 1 } {/tex} can be less than or greater than {tex} D _ { 2 } {/tex} depending upon the angle of prism

{tex} D _ { 1 } > D _ { 2 } {/tex}

Q 22.

Correct4

Incorrect-1

In a Young's double slit experiment the intensity at a point where the path difference is {tex} \frac { \lambda } { 6 } {/tex}( {tex} \lambda {/tex} being the wavelength of light used) is {tex} I . {/tex} If {tex} I _ { 0 } {/tex} denotes the maximum intensity, {tex} \frac { I } { I _ { 0 } } {/tex} is equal to

{tex} \frac { 3 } { 4 } {/tex}

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

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

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

Q 23.

Correct4

Incorrect-1

Two lenses of power {tex} - 15 D {/tex} and {tex} + 5 D {/tex} are in contact with each other. The focal length of the combination is

{tex} + 10 \mathrm { cm } {/tex}

{tex} - 20 \mathrm { cm } {/tex}

{tex} - 10 \mathrm { cm } {/tex}

{tex} + 20 \mathrm { cm } {/tex}

Q 24.

Correct4

Incorrect-1

In an experiment, electrons are made to pass through a narrow slit of width {tex} 'd' {/tex} comparable to their de Broglie wavelength. They are detected on a screen at a distance {tex} 'D' {/tex} from the slit (see figure).

Which of the following graphs can be expected to represent the number of electrons {tex}' N' {/tex} detected as a function of the detector position {tex}'y'{/tex} ( y = 0 corresponds to the middle of the slit)

Q 25.

Correct4

Incorrect-1

A student measures the focal length of a convex lens by putting an object pin at a distance '{tex} u {/tex}' from the lens and measuring the distance '{tex} v {/tex}' of the image pin. The graph between '{tex} u {/tex}' and '{tex} v{/tex}' plotted by the student should look like

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