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S.No.  Units  Topics 
1  Sets, Relations and Functions  Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;, oneone, into and onto functions, composition of functions, 
2  Complex Numbers and Quadratic Equations  Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a+ib and their representation in a plane, Argand diagram, algebra of complex numbers, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions. Relation between roots and coefficients, nature of roots, formation of quadratic equations with given roots. 
3  Matrices and Determinants  Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three. Properties of determinants, evaluation of determinants, area of triangles using determinants. Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices. 
4  Permutations And Combinations  Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications. 
5  Mathematical Induction  Principle of Mathematical Induction and its simple applications. 
6  Binomial Theorem and its Simple Applications  Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications. 
7  Sequences and Series  Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. ArithmeticoGeometric progression. 
8  Limit, Continuity and Differentiability  Real  valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order upto two. Rolle's and Lagrange's Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic  increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals. 
9  Integral Calculus  Integral as an anti  derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities. Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form. 
10  Differential Equations  Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations. 
11  Coordinate Geometry  Cartesian system of rectangular coordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes. Straight lines Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines. Circles, conic sections Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent. Sections of cones, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for y = mx + c to be a tangent and point (s) of tangency. 
12  Three Dimensional Geometry  Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, intersection of a line and a plane, coplanar lines. 
13  Vector Algebra  Vectors and scalars, addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product. 
14  Statistics and Probability  Measures of Dispersion: Calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data. Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution. 
15  Trigonometry  Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances 
16  Mathematical Reasoning  Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive. 
Units  Weightage  JEE Main Physics Syllabus Topics 
Physics and Measurement  4%  Physics, technology and society, SI units, Fundamental and derived units. Least count, accuracy and precision of measuring instruments, Errors in measurement, Dimensions of Physical quantities, dimensional analysis and its applications, 
Kinematics  3%  Frame of reference. Motion in a straight line: Positiontime graph, speed and velocity. Uniform and nonuniform motion, average speed and instantaneous velocity Uniformly accelerated motion, velocitytime, positiontime graphs, relations for uniformly accelerated motion. Scalars and Vectors, Vector addition and Subtraction, Zero Vector, Scalar and Vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane. Projectile Motion, Uniform Circular Motion. 
Laws of Motion  3% 

Work, Energy and Power  3% 

Rotational Motion  3%  Centre of mass of a twoparticle system, Centre of mass of a rigid body; Basic concepts of rotational motion; moment of a force, torque, angular momentum, conservation of angular momentum and its applications; moment of inertia, radius of gyration. Values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems and their applications. Rigid body rotation, equations of rotational motion. 
Gravitation  2%  The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth, Kepler's laws of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geostationary satellites. 
Properties of Solids and Liquids  5%  Elastic behaviour, Stressstrain relationship, Hooke's Law, Young's modulus, bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascal's law and its applications. Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, Reynolds number. Bernoulli's principle and its applications. Surface energy and surface tension, angle of contact, application of surface tension  drops, bubbles and capillary rise. Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. Heat transferconduction, convection and radiation, Newton's law of cooling. 
Thermodynamics  9%  Thermal equilibrium, zeroth law of thermodynamics, concept of temperature. Heat, work and internal energy. First law of thermodynamics. Second law of thermodynamics: reversible and irreversible processes. Carnot engine and its efficiency. 
Kinetic Theory of Gases  5%  Equation of state of a perfect gas, work done on compressing a gas. Kinetic theory of gasesassumptions, concept of pressure. Kinetic energy and temperature: rms speed of gas molecules; Degrees of freedom, Law of equipartition of energy,applications to specific heat capacities of gases; Mean free path, Avogadro's number. 
Oscillations and Waves  3%  Periodic motion  period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase; oscillations of a spring restoring force and force constant; energy in S.H.M.  kinetic and potential energies; Simple pendulum  derivation of expression for its time period; Free, forced and damped oscillations, resonance. Wave motion. Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound 
Electrostatics  9% 

Current Electricity  8% 

Magnetic Effects of Current and Magnetism  5% 

Electromagnetic Induction and Alternating Currents  3% 

Electromagnetic Waves  5% 

Optics  10%  Reflection and refraction of light at plane and spherical surfaces, mirror formula, Total internal reflection and its applications, Deviation and Dispersion of light by a prism, Lens Formula, Magnification, Power of a Lens, Combination of thin lenses in contact, Microscope and Astronomical Telescope (reflecting and refracting) and their magnifying powers. Wave optics: wavefront and Huygens' principle, Laws of reflection and refraction using Huygen's principle. Interference, Young's double slit experiment and expression for fringe width, coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes, Polarisation, plane polarized light; Brewster's law, uses of plane polarized light and Polaroids. 
Dual Nature of Matter and Radiation  6%  Dual nature of radiation. Photoelectric effect, Hertz and Lenard's observations; Einstein's photoelectric equation; particle nature of light. Matter waveswave nature of particle, de Broglie relation. Davis sonGermer experiment. 
Atoms and Nuclei  3%  Alphaparticle scattering experiment; Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivityalpha, beta and gamma particles/rays and their properties; radioactive decay law. Massenergy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion. 
Electronic Devices  3%  Semiconductors; semiconductor diode: IV characteristics in forward and reverse bias; diode as a rectifier; 1V characteristics of LED, photodiode, solar cell and Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch. 
Communication Systems  5%  Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation, Need for modulation, Amplitude and Frequency Modulation, Bandwidth of signals, Bandwidth of Transmission medium, Basic Elements of a Communication System (Block Diagram only). 
1  Experimental Skills  Familiarity with the basic approach and observations of the experiments and activities:
Potentiometer

S.No  Units  Chemistry Topics 
IIT JEE Main Physical Chemistry Syllabus 20232024 (Section A)  
1  Some Basic Concepts in Chemistry  Matter and its nature, Dalton's atomic theory; Concept of atom, molecule, element and compound; Physical quantities and their measurements in Chemistry, precision and accuracy, significant figures, S.I. Units, dimensional analysis; Laws of chemical combination: Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae; Chemical equations and stoichiometry. 
2  States of Matter  Classification of matter into solid, liquid and gaseous states. Gaseous State: Measurable properties of gases; Gas laws  Boyle's law, Charle's law, Graham's law of diffusion, Avogadro's law, Dalton's law of partial pressure; Concept of Absolute scale of temperature; Ideal gas equation; Kinetic theory of gases (only postulates); Concept of average, root mean square and most probable velocities; Real gases, deviation from Ideal behaviour, compressibility factor and van der Waals equation. Liquid State: Properties of liquids  vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only). Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Bragg's Law and its applications; Unit cell and lattices, packing in solids (fee, bec and hep lattices), voids, calculations involving unit cell parameters, imperfection in solids; Electrical and magnetic properties. 
3  Atomic Structure  Thomson and Rutherford atomic models and their limitations; Nature of electromagnetic radiation, photoelectric effect; Spectrum of hydrogen atom, Bohr model of hydrogen atom  its postulates, derivation of the relations for energy of the electron and radii of the different orbits, limitations of Bohr's model; Dual nature of matter, deBroglie's relationship, Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanical model of atom, its important features. Concept of atomic orbitals as one electron wave functions; Variation of t/ and \/2 with r for Is and 2s orbitals; various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their significance; shapes of s, p and d  orbitals, electron spin and spin quantum number; Rules for filling electrons in orbitals  aufbau principle, Pauli's exclusion principle and Hund's rule, electronic configuration of elements, extra stability of halffilled and completely filled orbitals. 
4  Chemical Bonding and Molecular Structure  Kossel  Lewis approach to chemical bond formation, concept of ionic and covalent bonds. Ionic Bonding: Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy. Covalent Bonding: Concept of electronegativity, Fajan's rule, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules. Quantum mechanical approach to covalent bonding: Valence bond theory  Its important features, concept of hybridization involving s, p and d orbitals; Resonance. Molecular Orbital Theory  Its important features, LCAOs, types of molecular orbitals (bonding, antibonding), sigma and pibonds, molecular orbital electronic configurations of homonuclear diatomic molecules, concept of bond order, bond length and bond energy. Elementary idea of metallic bonding. Hydrogen bonding and its applications. 
5  Chemical Thermodynamics  Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, types of processes. First law of thermodynamics  Concept of work, heat internal energy and enthalpy, heat capacity, molar heat capacity; Hess's law of constant heat summation; Enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization and solution. Second law of thermodynamics: Spontaneity of processes; AS of the universe and AG of the system as criteria for spontaneity, AG (Standard Gibbs energy change) and equilibrium constant. 
6  Solutions  Different methods for expressing concentration of solution  molality, molarity, mole fraction, percentage (by volume and mass both), vapour pressure of solutions and Raoult's Law  Ideal and nonideal solutions, vapour pressure  composition, plots for ideal and nonideal solutions; Colligative properties of dilute solutions  relative lowering of vapour pressure, depression of freezing point, elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, van't Hoff factor and its significance. 
7  Equilibrium  Meaning of equilibrium, concept of dynamic equilibrium. Equilibria involving physical processes: Solid liquid, liquid  gas and solid  gas equilibria, Henry's law, general characteristics of equilibrium involving physical processes. Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, significance of AG and AG in chemical equilibria, factors affecting equilibrium concentration, pressure, temperature, effect of catalyst; Le Chatelier's principle. Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Bronsted  Lowry and Lewis) and their ionization, acid  base equilibria (including multistage ionization) and ionization constants, ionization of water, pH scale, common ion effect, hydrolysis of salts and pH of their solutions, solubility of sparingly soluble salts and solubility products, buffer solutions. 
8  Redox Reactions and Electrochemistry  Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions. Electrolytic and metallic conduction, conductance in electrolytic solutions, molar conductivities and their variation with concentration: Kohlrausch's law and its applications. Electrochemical cells  Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half  cell and cell reactions, emf of a Galvanic cell and its measurement; Nernst equation and its applications; Relationship between cell potential and Gibbs' energy change; Dry cell and lead accumulator; Fuel cells. 
9  Chemical Kinetics  Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first order reactions, their characteristics and half lives, effect of temperature on the rate of reactions Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation). 
10  Surface Chemistry  Adsorption Physisorption and chemisorption and their characteristics, factors affecting adsorption of gases on solids  Freundlich and Langmuir adsorption isotherms, adsorption from solutions. Catalysis  Homogeneous and heterogeneous, activity and selectivity of solid catalysts, enzyme catalysis and its mechanism. Colloidal state distinction among true solutions, colloids and suspensions, classification of colloids lyophilic, lyophobic; multimolecular, macromolecular and associated colloids (micelles), preparation and properties of colloids  Tyndall effect, Brownian movement, electrophoresis, dialysis, coagulation and flocculation; Emulsions and their characteristics. 
IIT JEE Main Inorganic Chemistry Syllabus 20232024  
11  Classification of Elements and Periodicity in Properties  Modem periodic law and present form of the periodic table, s, p, d and f block elements, periodic trends in properties of elements atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states and chemical reactivity. 
12  General Principles and Processes of Isolation of Metals  Modes of occurrence of elements in nature, minerals, ores; Steps involved in the extraction of metals concentration, reduction (chemical and electrolytic methods) and refining with special reference to the extraction of Al, Cu, Zn and Fe; Thermodynamic and electrochemical principles involved in the extraction of metals. 
13  ydrogen  Position of hydrogen in periodic table, isotopes, preparation, properties and uses of hydrogen; Physical and chemical properties of water and heavy water; Structure, preparation, reactions and uses of hydrogen peroxide; Classification of hydrides  ionic, covalent and interstitial; Hydrogen as a fuel. 
14  S  Block Elements (Alkali and Alkaline Earth Metals)  Group 1 and 2 Elements General introduction, electronic configuration and general trends in physical and chemical properties of elements, anomalous properties of the first element of each group, diagonal relationships. Preparation and properties of some important compounds  sodium carbonate and sodium hydroxide and sodium hydrogen carbonate; Industrial uses of lime, limestone, Plaster of Paris and cement; Biological significance of Na, K, Mg and Ca. 
15  p Block Elements 

16  d  and f  Block Elements  Transition Elements General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first row transition elements physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties and uses of K2 Cr, 07 and Kmn04. Inner Transition Elements Lanthanoids  Electronic configuration, oxidation states and lanthanide contraction. Actinides  Electronic configuration and oxidation states. 
17  CoOrdination Compounds  Introduction to coordination compounds, Werner's theory; ligands, coordination number, denticity, chelation; IUPAC nomenclature of mononuclear coordination compounds, isomerism; BondingValence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of coordination compounds (in qualitative analysis, extraction of metals and in biological systems). 
18  Environmental Chemistry 

IIT JEE Main Organic Chemistry Syllabus 20232024 Section C  
19  Purification and Characterization of Organic Compounds 

20  Some Basic Principles of Organic Chemistry  Tetravalency of carbon; Shapes of simple molecules hybridization (s and p); Classification of organic compounds based on functional groups: and those containing halogens, oxygen, nitrogen and sulphur; Homologous series; Isomerism  structural and stereoisomerism. Nomenclature (Trivial and IUPAC) Covalent bond fission  Homolytic and heterolytic: free radicals, carbocations and carbanions; stability of carbocations and free radicals, electrophiles and nucleophiles. Electronic displacement in a covalent bond  Inductive effect, electromeric effect, resonance and hyperconjugation. Common types of organic reactions Substitution, addition, elimination and rearrangement. 
21  Hydrocarbons  Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties and reactions. Alkanes  Conformations: Sawhorse and Newman projections (of ethane); Mechanism of halogenation of alkanes. Alkenes  Geometrical isomerism; Mechanism of electrophilic addition: addition of hydrogen, halogens, water, hydrogen halides (Markownikoff s and peroxide effect); Ozonolysis and polymerization. Alkynes  Acidic character; Addition of hydrogen, halogens, water and hydrogen halides; Polymerization. Aromatic hydrocarbons  Nomenclature, benzene structure and aromaticity; Mechanism of electrophilic substitution: halogenation, nitration, Friedel  Craft's alkylation and acylation, directive influence of functional group in monosubstituted benzene. 
22  Organic Compounds Containing Halogens  General methods of preparation, properties and reactions; Nature of CX bond; Mechanisms of substitution reactions. Uses; Environmental effects of chloroform, iodoform freons and DDT. 
23  Organic Compounds Containing Oxygen  General methods of preparation, properties, reactions and uses. ALCOHOLS, PHENOLS AND ETHERS

24  Organic Compounds Containing Nitrogen 

25  olymers  General introduction and classification of polymers, general methods of polymerizationaddition and condensation, copolymerization; Natural and synthetic rubber and vulcanization; some important polymers with emphasis on their monomers and uses  polythene, nylon, polyester and bakelite. 
26  Biomolecules  General introduction and importance of biomolecules.

27  Chemistry In Everyday Life 

28  Principles Related to Practical Chemistry  Detection of extra elements (N,S, halogens) in organic compounds; Detection of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl and amino groups in organic compounds. • Chemistry involved in the preparation of the following: Inorganic compounds: Mohr's salt, potash alum. Organic compounds: Acetanilide, p nitroacetanilide, aniline yellow, iodoform. •Chemistry involved in the titrimetric exercises Acids bases and the use of indicators, oxalicacid vs KMnO,, Mohr's salt vs KMnO,. •Chemical principles involved in the qualitative salt analysis: Cations  Pb2+, Cu!+, Af,+, Fe1+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, nh;. Anions CO, S2~, SO4, NO, NO~2, Cf, Br, I . (Insoluble salts excluded). •Chemical principles involved in the following experiments: 1. Enthalpy of solution of CuS04 2. Enthalpy of neutralization of strong acid and strong base. 3. Preparation of lyophilic and lyophobic sols. 4. Kinetic study of reaction of iodide ion with hydrogen peroxide at room temperature. 
While NCERT help in cementing the foundation, the edge in NTA JEE Main preparation comes from referring to that extra study material. The following books are recommended by students and experts.
Maths Books  Author 
Objective Mathematics  R D Sharma 
Plane Trigonometry  S L Loney 
The Elements Of Coordinate Geometry  S L Loney 
Algebra by Dr. S K Goyal  Arihant Publications 
Play with Graphs  Amit M Agarwal (Arihant Publications) 
Differential Calculus  Amit M Agarwal (Arihant Publications) 
Integral Calculus  Amit M Agarwal (Arihant Publications) 
Complete mathematics  JEE Main TMH 
Physics books  Author 
Concepts of physics (Vol. 1 and 2)  H.C Verma 
Fundamentals of Physics  Halliday, Resnick & Walker 
Understanding Physics  D C Pandey (Arihant Publications) 
Problems in General Physics  I.E Irodov 
Understanding physics  Freedman and Young 
Problems in physics  SS Krotov 
Problems and solution of physics  Shashi Bhushan Tiwari 
Best Books  Author 
Modern Approach to Chemical Calculations  R.C. Mukherjee 
Organic Chemistry  O P Tandon 
Concept of Physical Chemistry  P Bahadur 
Concise Inorganic Chemistry  J D Lee 
Physical Chemistry  P.W. Atkins 
Organic Chemistry  Morrison & Boyd 
Our IITJEE Success 20232024 Package Includes