41 Years' Chapterwise Topicwise Solved Papers (2019-1979) IIT JEE Physics

673 Pages·19.656 MB·English

by  DC Pandey

41 Years’
CHAPTERWISE TOPICWISE
SOLVED PAPERS
2 0 1 9 - 1 9 7 9
IIT J EE
(JEE Main & Advanced)
Physics
DC Pandey
Arihant Prakashan (Series), Meerut
Arihant Prakashan (Series), Meerut
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CONTENTS
1. General Physics 1-20
2. Kinematics 21-42
3. Laws of Motion 43-62
4. Work, Power and Energy 63-78
5. Centre of Mass 79-104
6. Rotation 105-151
7. Gravitation 152-167
8. Simple Harmonic Motion 168-190
9. Properties of Matter 191-219
10. Wave Motion 220-253
11. Heat and Thermodynamics 254-318
12. Optics 319-389
13. Current Electricity 390-423
14. Electrostatics 424-488
15. Magnetics 489-535
16. Electromagnetic Induction and Alternating Current 536-572
17. Modern Physics 573-646
JEE Advanced Solved Paper 2019 1-16
SYLLABUS
JEE MAIN
SECTION A (80% weightage)
UNIT I Physics and Measurement Potential energy of a spring, conservation of
mechanical energy, conservative and
Physics, technology and society, SI units,
nonconservative forces; Elastic and inelastic
Fundamental and derived units. Least count,
collisions in one and two dimensions.
accuracy and precision of measuring instruments,
Errors in measurement, Significant figures.
UNIT V Rotational Motion
Dimensions of Physical quantities, dimensional
Centre of mass of a two-particle system, Centre of
analysis and its applications.
mass of a rigid body; Basic concepts of rotational
motion; moment of a force, torque, angular
UNIT II Kinematics
momentum, conservation of angular momentum
Frame of reference. Motion in a straight line: Position-
and its applications; moment of inertia, radius of
time graph, speed and velocity. Uniform and non-
gyration. Values of moments of inertia for simple
uniform motion, average speed and instantaneous
geometrical objects, parallel and perpendicular axes
velocity.
theorems and their applications.
Uniformly accelerated motion, velocity-time, position
Rigid body rotation, equations of rotational motion.
time graphs, relations for uniformly accelerated
motion. UNIT VI Gravitation
Scalars and Vectors, Vector addition and Subtraction, The universal law of gravitation.
Zero Vector, Scalar and Vector products, Unit Vector,
Acceleration due to gravity and its variation with
Resolution of a Vector. Relative Velocity, Motion in a
altitude and depth.
plane, Projectile Motion, Uniform Circular Motion.
Kepler's laws of planetary motion.
UNIT III Laws of Motion Gravitational potential energy; gravitational
Force and Inertia, Newton's First Law of motion; potential.
Momentum, Newton's Second Law of motion;
Escape velocity. Orbital velocity of a satellite.
Impulse; Newton's Third Law of motion. Law of
Geo-stationary satellites.
conservation of linear momentum and its
applications, Equilibrium of concurrent forces. Static UNIT VII Properties of Solids & Liquids
and Kinetic friction, laws of friction, rolling friction. Elastic behaviour, Stress-strain relationship, Hooke's.
Dynamics of uniform circular motion: Centripetal Law, Young's modulus, bulk modulus, modulus of
force and its applications. rigidity.
Pressure due to a fluid column; Pascal's law and its
UNIT IV Work, Energy and Power
applications.
Work done by a constant force and a variable force;
Viscosity, Stokes' law, terminal velocity, streamline
kinetic and potential energies, work-energy theorem,
and turbulent flow, Reynolds number. Bernoulli's
power.
principle and its applications.
Surface energy and surface tension, angle of contact, Electric field Electric field due to a point charge,
application of surface tension - drops, bubbles and Electric field lines, Electric dipole, Electric field due to a
capillary rise. dipole, Torque on a dipole in a uniform electric field.
Heat, temperature, thermal expansion; specific heat Electric flux, Gauss's law and its applications to find
capacity, calorimetry; change of state, latent heat. field due to infinitely long, uniformly charged straight
wire, uniformly charged infinite plane sheet and
Heat transfer-conduction, convection and radiation,
uniformly charged thin spherical shell.
Newton's law of cooling.
Electric potential and its calculation for a point charge,
UNIT VIII Thermodynamics
electric dipole and system of charges; Equipotential
Thermal equilibrium, zeroth law of thermo-dynamics, surfaces, Electrical potential energy of a system of two
concept of temperature. Heat, work and internal point charges in an electrostatic field.
energy. First law of thermodynamics.
Conductors and insulators, Dielectrics and electric
Second law of thermodynamics: reversible and polarization, capacitor, combination of capacitors in
irreversible processes. Camot engine and its efficiency. series and in parallel, capacitance of a parallel plate
capacitor with and without dielectric medium
UNIT IX Kinetic Theory of Gases
between the plates, Energy stored in a capacitor.
Equation of state of a perfect gas, work done on
compressing a gas. UNIT XII Current Electricity
Kinetic theory of gases - assumptions, concept of Electric current, Drift velocity, Ohm's law, Electrical
pressure. Kinetic energy and temperature: rms speed resistance, Resistances of different materials, V-I
of gas molecules; Degrees of freedom, Law of characteristics of Ohmic and nonohmic conductors,
equipartition of energy, applications to specific heat Electrical energy and power, Electrical resistivity,
capacities of gases; Mean free path, Avogadro's Colour code for resistors; Series and parallel
number. combinations of resistors; Temperature dependence
of resistance.
UNIT X Oscillations and Waves
Electric Cell and its Internal resistance, potential
Periodic motion - period, frequency, displacement difference and emf of a cell, combination of cells in
as a function of time. Periodic functions. Simple series and in parallel.
harmonic motion (S.H.M.) and its equation; phase;
Kirchhoff's laws and their applications. Wheatstone
oscillations of a spring - restoring force and force
bridge, Metre bridge.
constant; energy in S.H.M. - kinetic and potential
Potentiometer - principle and its applications.
energies; Simple pendulum - derivation of expression
for its time period; Free, forced and damped
UNIT XIII Magnetic Effects of Current
oscillations, resonance.
and Magnetism
Wave motion. Longitudinal and transverse waves,
Biot-Savart law and its application to current carrying
speed of a wave. Displacement relation for a
circular loop. Ampere's law and its applications to
progressive wave. Principle of superposition of
infinitely long current carrying straight wire and
waves, reflection of waves, Standing waves in strings
solenoid. Force on a moving charge in uniform
and organ pipes, fundamental mode and harmonics,
magnetic and electric fields Cyclotron.
Beats, Doppler effect in sound.
Force on a current-carrying conductor in a uniform
UNIT XI Electrostatics magnetic field. Force between two parallel current-
Electric charges Conservation of charge, Coulomb's carrying conductors-definition of ampere. Torque
law-forces between two point charges, forces experienced by a current loop in uniform magnetic
between multiple charges; superposition principle field, Moving coil galvanometer, its current sensitivity
and continuous charge distribution. and conversion to ammeter and voltmeter.
Current loop as a magnetic dipole and its magnetic Polarisation, plane polarized light; Brewster's law,
dipole moment. Bar magnet as an equivalent solenoid, uses of plane polarized light and Polaroids.
magnetic field lines; Earth's magnetic field and
UNIT XVII Dual Nature of Matter
magnetic elements. Para, dia and ferro-magnetic
substances and Radiation
Magnetic susceptibility and permeability, Hysteresis, Dual nature of radiation. Photoelectric effect,
Electromagnets and permanent magnets. Hertz and Lenard's observations; Einstein's
photoelectric equation; particle nature of light.
UNIT XIV Electromagnetic Induction
Matter waves-wave nature of particle, de Broglie
and Alternating Currents
relation. Davisson-Germer experiment.
Electromagnetic induction; Faraday's law, induced emf
UNIT XVIII Atoms and Nuclei
and current; Lenz's Law, Eddy currents. Self and mutual
inductance. Alpha-particle scattering experiment;
Rutherford's model of atom; Bohr model, energy
Alternating currents, peak and rms value of alternating
levels, hydrogen spectrum.
current/ voltage; reactance and impedance; LCR series
circuit, resonance; Quality factor, power in AC circuits, Composition and size of nucleus, atomic masses,
wattless current. isotopes, isobars; isotones. Radioactivity-alpha,
beta and gamma particles/rays and their
AC generator and transformer.
properties; radioactive decay law. Mass-energy
UNIT XV Electromagnetic Waves relation, mass defect; binding energy per nucleon
and its variation with mass number, nuclear fission
Electromagnetic waves and their characteristics.
and fusion.
Transverse nature of electromagnetic waves.
Electromagnetic spectrum (radio waves, microwaves, UNIT XIX Electronic Devices
infrared, visible, ultraviolet, X-rays, gamma rays).
Semiconductors; semiconductor diode: I-V
Applications of e.m. waves.
characteristics in forward and reverse bias; diode
as a rectifier; I-V characteristics of LED,
UNIT XVI Optics
photodiode, solar cell, and Zener diode; Zener
Reflection and refraction of light at plane and spherical
diode as a voltage regulator. Junction transistor,
surfaces, mirror formula, Total internal reflection and
transistor action, characteristics of a transistor
its applications, Deviation and Dispersion of light by a
transistor as an amplifier (common emitter
prism, Lens Formula, Magnification, Power of a Lens,
configuration) and oscillator. Logic gates (OR, AND,
Combination of thin lenses in contact, Microscope and
NOT, NAND & NOR). Transistor as a switch.
Astronomical Telescope (reflecting and refracting) and
their magnifying powers. UNIT XX Communication Systems
Wave optics wave front and Huygens' principle, Laws Propagation of electromagnetic waves in the
of reflection and refraction using Huygen's principle. atmosphere; Sky and space wave propagation,
Interference, Young's double slit experiment and Need for modulation, Amplitude and Frequency
expression for fringe width, coherent sources and Modulation, Bandwidth of signals, Bandwidth of
sustained interference of light. Diffraction due to a Transmission medium, Basic Elements of a
single slit, width of central maximum. Resolving Communication System (Block Diagram only)
power of microscopes and astronomical telescopes,
SECTION B (20% weightage)
UNIT XXI Experimental Skills (i) Comparison of emf of two primary cells.
Familiarity with the basic approach and observations (ii) Determination of Internal resistance of a cell.
of the experiments and activities 14. Resistance and figure of merit of a
1. Vernier callipers - its use to measure internal and galvanometer by half deflection method.
external diameter and depth of a vessel 15. Focal length of
2. Screw gauge - its use to determine thickness/ (i) Convex mirror
diameter of thin sheet/wire. (ii) Concave mirror
3. Simple Pendulum - dissipation of energy by (iii) Convex lens
plotting a graph between square of amplitude
Using parallax method.
and time.
16. Plot of angle of deviation vs angle of incidence
4. Metre Scale - mass of a given object by principle
for a triangular prism.
of moments
17. Refractive index of a glass slab using a travelling
5. Young's modulus of elasticity of the material of a
microscope
metallic wire
18. Characteristic curves of a p-n junction diode in
6. Surface tension of water by capillary rise and
forward and reverse bias.
effect of detergents
19. Characteristic curves of a Zener diode and
7. Coefficient of Viscosity of a given viscous liquid
finding reverse break down voltage.
by measuring terminal velocity of a given
spherical body. 20. Characteristic curves of a transistor and finding
current gain and voltage gain.
8. Plotting a cooling curve for the relationship
between the temperature of a hot body 21. Identification of Diode, LED, Transistor, IC,
and time. Resistor, Capacitor from mixed collection of
such items.
9. Speed of sound in air at room temperature
using a resonance tube. 22. Using multimeter to
(i) Identify base of a transistor
10. Specific heat capacity of a given (i) solid and (ii)
liquid by method of mixtures. (ii) Distinguish between npn and pnp type
transistor
11. Resistivity of the material of a given wire using
(iii) See the unidirectional flow of current in case
metre bridge.
of a diode and an LED.
12. Resistance of a given wire using Ohm's law
(iv) Check the correctness or otherwise of a
13. Potentiometer given electronic component (diode,
transistor or IC).
JEE ADVANCED
General
Units and dimensions, dimensional analysis, least count, significant figures, Methods of measurement and
error analysis for physical quantities pertaining to the following experiments, Experiments based on using
vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young's
modulus by Searle's method, Specific heat of a liquid using calorimeter, focal length of a concave mirror
and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm's law
using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post
office box.
Mechanics
Kinematics in one and two dimensions (Cartesian coordinates only), projectiles, Circular motion (uniform
and non-uniform), Relative velocity.
Newton's Laws of Motion, Inertial and uniformly accelerated frames of reference, Static and dynamic
friction, Kinetic and potential energy, Work and power, Conservation of linear momentum and mechanical
energy.
Systems of Particles, Centre of mass and its motion, Impulse, Elastic and inelastic collisions.
Law of Gravitation, Gravitational potential and field, Acceleration due to gravity, Motion of planets and
satellites in circular orbits, Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform
bodies with simple geometrical shapes, Angular momentum, Torque, Conservation of angular momentum,
Dynamics of rigid bodies with fixed axis of rotation, Rolling without slipping of rings, cylinders and
spheres, Equilibrium of rigid bodies, Collision of point masses with rigid bodies.
Linear and angular simple harmonic motions.
Hooke's law, Young's modulus.
Pressure in a fluid, Pascal's law, Buoyancy, Surface energy and surface tension, capillary rise, Viscosity
(Poiseuille's equation excluded), Stoke's law, Terminal velocity, Streamline flow, Equation of continuity,
Bernoulli's theorem and its applications.
Wave motion (plane waves only), longitudinal and transverse waves, Superposition of waves; progressive
and stationary waves, Vibration of strings and air columns. Resonance, Beats, Speed of sound in gases,
Doppler effect (in sound).
Thermal Physics
Thermal expansion of solids, liquids and gases, Calorimetry, latent heat, Heat conduction in one
dimension, Elementary concepts of convection and radiation, Newton's law of cooling, Ideal gas laws,
Specific heats (C and C for monatomic and diatomic gases), Isothermal and adiabatic processes,
v p
bulk modulus of gases, Equivalence of heat and work, First law of thermodynamics and its
applications (only for ideal gases). Blackbody radiation, absorptive and emissive powers, Kirchhoff's
law, Wien's displacement law, Stefan's law.
Electricity and Magnetism
Coulomb's law, Electric field and potential, Electrical Potential energy of a system of point charges and
of electrical dipoles in a uniform electrostatic field, Electric field lines, Flux of electric field; Gauss's law
and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly
charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance, Parallel plate capacitor with and without dielectrics, Capacitors in series and parallel,
Energy stored in a capacitor.
Electric Current, Ohm's law, Series and parallel arrangements of resistances and cells, Kirchhoff's laws
and simple applications, Heating effect of current.
Biot-Savart law and Ampere's law, magnetic field near a current-carrying straight wire, along the axis
of a circular coil and inside a long straight solenoid, Force on a moving charge and on a current-
carrying wire in a uniform magnetic field.
Magnetic Moment of a Current Loop, Effect of a uniform magnetic field on a current loop, Moving coil
galvanometer, voltmeter, ammeter and their conversions.
Electromagnetic induction, Faraday's law, Lenz's law, Self and mutual inductance, RC, LR and LC
circuits with DC and AC sources.
Optics
Rectilinear propagation of light, Reflection and refraction at plane and spherical surfaces, Total
internal reflection, Deviation and dispersion of light by a prism, Thin lenses, Combinations of mirrors
and thin lenses, Magnification.
Wave Nature of Light, Huygen's principle, interference limited to Young's double-slit experiment.
Modern Physics, Atomic nucleus, Alpha, beta and gamma radiations, Law of radioactive decay, Decay
constant, Half-life and mean life, Binding energy and its calculation, Fission and fusion processes,
Energy calculation in these processes.
Photoelectric Effect, Bohr's theory of hydrogen-like atoms, Characteristic and continuous
X-rays, Moseley's law, de Broglie wavelength of matter waves.