JEE Main

Sets, Relations and Functions

6 topics

• Sets and representation
• Union, intersection and complement
• Power set
• Relations and equivalence relations
• One-one and onto functions
• Composition of functions

Complex Numbers and Quadratic Equations

6 topics

• Complex numbers as ordered pairs
• Argand plane
• Modulus and argument
• Quadratic equations in real and complex systems
• Relations between roots and coefficients
• Nature and formation of equations

Matrices and Determinants

6 topics

• Types and algebra of matrices
• Determinants up to order three
• Adjoint and inverse
• Properties and evaluation of determinants
• Area using determinants
• Simultaneous linear equations

Permutations and Combinations

5 topics

• Fundamental principle of counting
• Permutation
• Combination
• Meaning of P(n,r) and C(n,r)
• Simple applications

Binomial Theorem and its Simple Applications

4 topics

• Binomial theorem for positive integral index
• General term
• Middle term
• Simple applications

Sequence and Series

5 topics

• Arithmetic progression
• Geometric progression
• Insertion of means
• Relation between AM and GM
• Special finite sums

Limit, Continuity and Differentiability

7 topics

• Limits of functions
• Continuity
• Differentiability
• Composite and implicit differentiation
• Second-order derivatives
• Rate of change
• Monotonicity and extrema

Integral Calculus

7 topics

• Integration as anti-derivative
• Fundamental integrals
• Substitution and partial fractions
• Integration by parts
• Definite integrals and properties
• Fundamental theorem of calculus
• Area under curves

Differential Equations

5 topics

• Order and degree
• Formation of differential equations
• Separation of variables
• Homogeneous equations
• Linear differential equations

Coordinate Geometry

7 topics

• Cartesian coordinates and distance
• Section formula and locus
• Straight lines
• Circle
• Parabola
• Ellipse
• Hyperbola

Three-Dimensional Geometry

5 topics

• Coordinates in space
• Distance and section formula
• Direction ratios and cosines
• Equation of a line
• Skew lines and shortest distance

Vector Algebra

5 topics

• Vectors and scalars
• Vector components
• Addition and scalar multiplication
• Scalar product
• Vector product

Statistics and Probability

6 topics

• Mean, median and mode
• Variance and standard deviation
• Probability of an event
• Addition and multiplication theorems
• Bayes theorem
• Random variable and probability distribution

Trigonometry

3 topics

• Trigonometric identities
• Trigonometric functions
• Inverse trigonometric functions and properties

Units and Measurements

5 topics

• SI units
• Fundamental and derived units
• Least count and significant figures
• Measurement errors
• Dimensions and dimensional analysis

Kinematics

6 topics

• Frame of reference
• One-dimensional motion
• Position-time and velocity-time graphs
• Uniformly accelerated motion
• Vectors
• Projectile and circular motion

Laws of Motion

6 topics

• Force and inertia
• Newton's laws
• Momentum and impulse
• Conservation of momentum
• Friction
• Dynamics of circular motion

Work, Energy and Power

6 topics

• Work by constant and variable force
• Kinetic and potential energy
• Work-energy theorem
• Power
• Conservation of mechanical energy
• Collisions

Rotational Motion

6 topics

• Centre of mass
• Torque and angular momentum
• Moment of inertia
• Radius of gyration
• Parallel and perpendicular axes
• Rigid-body equilibrium and rotation

Gravitation

6 topics

• Universal law of gravitation
• Acceleration due to gravity
• Kepler's laws
• Gravitational potential and energy
• Escape velocity
• Satellite motion

Properties of Solids and Liquids

6 topics

• Elasticity and Hooke's law
• Fluid pressure and viscosity
• Stokes law and terminal velocity
• Bernoulli principle
• Surface tension
• Heat and thermal expansion

Thermodynamics

5 topics

• Thermal equilibrium and temperature
• Heat, work and internal energy
• Laws of thermodynamics
• Isothermal and adiabatic processes
• Reversible and irreversible processes

Kinetic Theory of Gases

6 topics

• Equation of state
• Kinetic interpretation of pressure and temperature
• RMS speed
• Degrees of freedom
• Equipartition of energy
• Mean free path

Oscillations and Waves

7 topics

• Periodic motion
• Simple harmonic motion
• Energy in SHM
• Simple pendulum
• Wave motion
• Standing waves and harmonics
• Beats

Electrostatics

6 topics

• Electric charge and Coulomb's law
• Electric field and flux
• Gauss law
• Potential and potential energy
• Conductors and dielectrics
• Capacitance

Current Electricity

6 topics

• Electric current and drift velocity
• Ohm's law and resistance
• Resistor combinations
• Cells and Kirchhoff laws
• Wheatstone bridge
• Metre bridge

Magnetic Effects of Current and Magnetism

6 topics

• Biot-Savart law
• Ampere law
• Force on charges and conductors
• Galvanometer
• Magnetic dipole
• Magnetic materials

Electromagnetic Induction and Alternating Currents

6 topics

• Faraday and Lenz laws
• Self and mutual inductance
• Alternating current
• LCR circuits and resonance
• AC generator
• Transformer

Electromagnetic Waves

4 topics

• Displacement current
• Nature of electromagnetic waves
• Electromagnetic spectrum
• Applications of the spectrum

Optics

7 topics

• Reflection and spherical mirrors
• Refraction and lenses
• Prism
• Optical instruments
• Wavefront and Huygens principle
• Interference
• Diffraction and polarization

Dual Nature of Matter and Radiation

5 topics

• Photoelectric effect
• Einstein photoelectric equation
• Particle nature of light
• Matter waves
• de Broglie relation

Atoms and Nuclei

5 topics

• Rutherford model
• Bohr model and hydrogen spectrum
• Composition and size of nucleus
• Mass defect and binding energy
• Fission and fusion

Electronic Devices

7 topics

• Semiconductors
• p-n junction diode
• Diode characteristics
• Rectifier
• LED, photodiode and solar cell
• Zener diode
• Logic gates

Experimental Skills

6 topics

• Vernier calipers and screw gauge
• Simple pendulum
• Metre bridge and Ohm's law
• Focal length experiments
• Semiconductor characteristics
• Laboratory observation and error

Some Basic Concepts in Chemistry

5 topics

• Matter and atomic theory
• Laws of chemical combination
• Mole concept and molar mass
• Stoichiometry
• Empirical and molecular formulae

Atomic Structure

6 topics

• Electromagnetic radiation and photoelectric effect
• Bohr model
• Hydrogen spectrum
• de Broglie relation
• Quantum mechanics and orbitals
• Electronic configuration

Chemical Bonding and Molecular Structure

6 topics

• Ionic and covalent bonding
• Lewis structures and formal charge
• VSEPR theory
• Valence bond theory and hybridisation
• Molecular orbital theory
• Hydrogen bonding

Chemical Thermodynamics

6 topics

• System and surroundings
• First law and enthalpy
• Heat capacity and Hess law
• Bond and lattice enthalpy
• Entropy and Gibbs energy
• Spontaneity and equilibrium

Solutions

6 topics

• Concentration expressions
• Vapour pressure and Raoult's law
• Ideal and non-ideal solutions
• Colligative properties
• Molar mass determination
• van't Hoff factor

Equilibrium

6 topics

• Dynamic and physical equilibrium
• Law of chemical equilibrium
• Le Chatelier principle
• Ionic equilibrium
• pH and buffers
• Solubility product

Redox Reactions and Electrochemistry

7 topics

• Oxidation number and balancing
• Electrolytic and metallic conduction
• Galvanic cells
• Nernst equation
• Conductance
• Electrolysis
• Batteries and fuel cells

Chemical Kinetics

6 topics

• Rate of reaction
• Order and molecularity
• Integrated rate equations
• Half-life
• Arrhenius equation
• Activation energy and collision theory

Classification of Elements and Periodicity in Properties

6 topics

• Modern periodic law
• Periodic table
• Atomic and ionic radii
• Ionisation enthalpy
• Electron gain enthalpy
• Electronegativity and valency

p-Block Elements

5 topics

• Group 13 to 18 trends
• Electronic configuration
• Oxidation states
• Chemical reactivity
• Anomalous behaviour of first elements

d- and f-Block Elements

5 topics

• Transition-element configuration
• Oxidation states and colour
• Magnetic properties and catalysis
• K2Cr2O7 and KMnO4
• Lanthanoids and actinoids

Coordination Compounds

6 topics

• Werner theory
• Ligands and coordination number
• IUPAC nomenclature
• Isomerism
• Bonding and crystal field theory
• Colour and magnetic properties

Purification and Characterisation of Organic Compounds

6 topics

• Crystallisation and sublimation
• Distillation
• Differential extraction and chromatography
• Detection of elements
• Functional-group analysis
• Empirical formula calculations

Some Basic Principles of Organic Chemistry

6 topics

• Tetravalency and hybridisation
• Classification and nomenclature
• Structural and stereoisomerism
• Electronic effects
• Reaction intermediates
• Types of organic reactions

Hydrocarbons

6 topics

• Alkanes
• Alkenes
• Alkynes
• Aromatic hydrocarbons
• Electrophilic substitution
• Addition reactions and orientation

Organic Compounds Containing Halogens

4 topics

• Preparation and properties
• C-X bond
• Substitution mechanisms
• Uses and environmental effects

Organic Compounds Containing Oxygen

6 topics

• Alcohols and phenols
• Ethers
• Aldehydes and ketones
• Carboxylic acids
• Preparation and reactions
• Acidity and named reactions

Organic Compounds Containing Nitrogen

5 topics

• Amines
• Basic character of amines
• Diazonium salts
• Preparation and reactions
• Importance in synthesis

Biomolecules

6 topics

• Carbohydrates
• Proteins and amino acids
• Enzymes
• Vitamins
• Nucleic acids
• Hormones

Principles Related to Practical Chemistry

6 topics

• Detection of extra elements and functional groups
• Preparation of inorganic compounds
• Preparation of organic compounds
• Titrimetric exercises
• Salt analysis
• Enthalpy and kinetics experiments