The Joint Entrance Examination – Advanced is an academic examination held annually in India that tests the skills and knowledge of the applicants in physics, chemistry and mathematics.

JEE Advanced

Complete Syllabus for JEE (Advanced) 2024

Physics

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 - elasticity of the material Surface tension of water by capillary rise and effect of detergents.

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

specific resistance of the material of a wire using meter bridge and post office box.

General

Kinematics in one and two dimensions (Cartesian coordinates only)

projectiles

Uniform circular motion

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.

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. Forced and damped oscillation (in one dimension)

resonance. Linear and angular simple harmonic motions.

Hooke’s law

Young’s modulus.

Law of gravitation

Gravitational potential and field

Acceleration due to gravity

Kepler’s law

Geostationary orbits

Motion of planets and satellites in circular orbits

Escape velocity. Pressure in a fluid

Pascal’s law

Buoyancy

Surface energy and surface tension,angle of contact drops, bubbles and capillary rise.

Viscosity (Poiseuille’s equation excluded)

Modulus of rigidity and bulk modulus in mechanics

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)

Mechanics

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 (Cv and Cp for monoatomic and diatomic gases)

Isothermal and adiabatic processes

bulk modulus of gases

Equivalence of heat and work

First law of thermodynamics and its applications (only for ideal gases)

Second law of thermodynamics

reversible and irreversible processes

Carnot engine and its efficiency

Blackbody radiation: absorptive and emissive powers

Kirchhoff’s law

Wien’s displacement law

Stefan’s law.

Thermal Physics

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’s 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, LC and LCR(in series) circuits with d.c. and a.c. sources.

Electricity and Magnestism

Electromagnetic waves and their characteristics.

Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays) including elementary facts about their uses.

Electromagnetic Waves

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.

Diffraction due to a single slit.

Polarization of light, plane polarized light

Brewster's law

Polaroids.

Optics

Atomic nucleus

α, β and γ 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.

Modern Physics

Mathematics

Sets and their representations

different kinds of sets (empty, finite and infinite)

algebra of sets

intersection, complement, difference and symmetric difference of sets and their algebraic properties

De-Morgan’s laws on union, intersection, difference (for finite number of sets) and practical problems based on them.

Cartesian product of finite sets, ordered pair, relations, domain and codomain of relations, equivalence relation

Function as a special case of relation

functions as mappings, domain, codomain, range of functions

invertible functions

even and odd functions

into, onto and one-to-one functions

special functions (polynomial, trigonometric, exponential, logarithmic, power, absolute value, greatest integer etc.)

sum, difference, product and composition of functions.

Sets, Relations and Functions

Algebra of complex numbers, addition, multiplication, conjugation

polar representation,

properties of modulus and principal argument

triangle inequality

cube roots of unity

geometric interpretations.

Statement of fundamental theorem of algebra

Quadratic equations with real coefficients

relations between roots and coefficients

formation of quadratic equations with given roots

symmetric functions of roots.

Arithmetic and geometric progressions

arithmetic and geometric means

sums of finite arithmetic and geometric progressions

infinite geometric series

sum of the first n natural numbers

sums of squares and cubes of the first n natural numbers.

Logarithms and their properties

permutations and combinations

binomial theorem for a positive integral index

properties of binomial coefficients.

Algebra

Matrices as a rectangular array of real numbers

equality of matrices

addition, multiplication by a scalar and product of matrices

transpose of a matrix

elementary row and column transformations

determinant of a square matrix of order up to three

adjoint of a matrix

inverse of a square matrix of order up to three

properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties

solutions of simultaneous linear equations in two or three variables.

Matrices

Random experiment

sample space

different types of events (impossible, simple, compound)

addition and multiplication rules of probability

conditional probability

independence of events

total probability

Bayes Theorem

computation of probability of events using permutations and combinations.

Measure of central tendency and dispersion

mean, median, mode, mean deviation, standard deviation and variance of grouped and ungrouped data

Probability and Statistics

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