JEE Main 2027 Syllabus: Latest NTA-Based Maths, Physics, Chemistry Syllabus

Subject

Section A Questions

Section B Questions

Total Questions

Marks

Mathematics

20

5

25

100

Physics

20

5

25

100

Chemistry

20

5

25

100

Total

60

15

75

300

S. No

Chapter / Unit Name

1

Sets, Relations and Functions

2

Complex Numbers and Quadratic Equations

3

Matrices and Determinants

4

Permutations and Combinations

5

Binomial Theorem and Its Simple Applications

6

Sequence and Series

7

Limit, Continuity and Differentiability

8

Integral Calculus

9

Differential Equations

10

Coordinate Geometry

11

Three Dimensional Geometry

12

Vector Algebra

13

Statistics and Probability

14

Trigonometry

S. No

Chapter / Unit Name

1

Units and Measurements

2

Kinematics

3

Laws of Motion

4

Work, Energy and Power

5

Rotational Motion

6

Gravitation

7

Properties of Solids and Liquids

8

Thermodynamics

9

Kinetic Theory of Gases

10

Oscillations and Waves

11

Electrostatics

12

Current Electricity

13

Magnetic Effects of Current and Magnetism

14

Electromagnetic Induction and Alternating Currents

15

Electromagnetic Waves

16

Optics

17

Dual Nature of Matter and Radiation

18

Atoms and Nuclei

19

Electronic Devices

20

Experimental Skills

S. No

Chapter / Unit Name

1

Some Basic Concepts in Chemistry

2

Atomic Structure

3

Chemical Bonding and Molecular Structure

4

Chemical Thermodynamics

5

Solutions

6

Equilibrium

7

Redox Reactions and Electrochemistry

8

Chemical Kinetics

9

Classification of Elements and Periodicity in Properties

10

p-Block Elements

11

d- and f-Block Elements

12

Coordination Compounds

13

Purification and Characterisation of Organic Compounds

14

Some Basic Principles of Organic Chemistry

15

Hydrocarbons

16

Organic Compounds Containing Halogens

17

Organic Compounds Containing Oxygen

18

Organic Compounds Containing Nitrogen

19

Biomolecules

20

Principles Related to Practical Chemistry

S. No

Chapter Name

1

Some Basic Concepts in Chemistry

2

Atomic Structure

3

Chemical Bonding and Molecular Structure

4

Chemical Thermodynamics

5

Solutions

6

Equilibrium

7

Redox Reactions and Electrochemistry

8

Chemical Kinetics

S. No

Chapter Name

1

Classification of Elements and Periodicity in Properties

2

p-Block Elements

3

d- and f-Block Elements

4

Coordination Compounds

S. No

Chapter Name

1

Purification and Characterisation of Organic Compounds

2

Some Basic Principles of Organic Chemistry

3

Hydrocarbons

4

Organic Compounds Containing Halogens

5

Organic Compounds Containing Oxygen

6

Organic Compounds Containing Nitrogen

7

Biomolecules

8

Principles Related to Practical Chemistry

Unit No

Unit Name

Topics Covered

Unit 1

Sets, Relations and Functions

Sets and their representation, union, intersection and complement of sets and their algebraic properties, power set, relations, types of relations, equivalence relations, functions, one-one, into and onto functions, composition of functions

Unit 2

Complex Numbers and Quadratic Equations

Complex numbers as ordered pairs of reals, representation of complex numbers in the form a + ib and in a plane, Argand diagram, algebra of complex numbers, modulus and argument of a complex number, quadratic equations in real and complex number systems and their solutions, relations between roots and coefficients, nature of roots, formation of quadratic equations with given roots

Unit 3

Matrices and Determinants

Matrices, algebra of matrices, types of matrices, determinants and matrices of order two and three, evaluation of determinants, area of triangles using determinants, adjoint and inverse of a square matrix, test of consistency and solution of simultaneous linear equations in two or three variables using matrices

Unit 4

Permutations and Combinations

Fundamental principle of counting, permutations and combinations, meaning of P(n, r) and C(n, r), simple applications

Unit 5

Binomial Theorem and Its Simple Applications

Binomial theorem for a positive integral index, general term, middle term, simple applications

Unit 6

Sequence and Series

Arithmetic progression, geometric progression, insertion of arithmetic mean and geometric mean between two given numbers, relation between A.M. and G.M.

Unit 7

Limit, Continuity and Differentiability

Real-valued functions, algebra of functions, polynomial, rational, trigonometric, logarithmic and exponential functions, inverse functions, graphs of simple functions, limits, continuity and differentiability, differentiation of sum, difference, product and quotient of functions, differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions, derivatives up to order two, applications of derivatives including rate of change of quantities, increasing and decreasing functions, maxima and minima of functions of one variable

Unit 8

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, fundamental theorem of calculus, properties of definite integrals, evaluation of definite integrals, determining areas of regions bounded by simple curves in standard forms

Unit 9

Differential Equations

Ordinary differential equations, order and degree of differential equations, solution by the method of separation of variables, solution of homogeneous and linear differential equations of the type dy/dx + P(x)y = Q(x)

Unit 10

Coordinate Geometry

Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus and its equation, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes, various forms of equations of a straight line, intersection of lines, angle between two lines, conditions for concurrence of three lines, distance of a point from a line, coordinates of centroid, orthocentre and circumcentre of a triangle, standard form and general form of equation of a circle, radius and centre of a circle, equation of a circle when endpoints of diameter are given, points of intersection of a line and a circle, conic sections, equations of parabola, ellipse and hyperbola in standard forms

Unit 11

Three Dimensional Geometry

Coordinates of a point in space, distance between two points, section formula, direction ratios, direction cosines, angle between two intersecting lines, equation of a line, skew lines, shortest distance between them and its equation

Unit 12

Vector Algebra

Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar product, vector product

Unit 13

Statistics and Probability

Measures of dispersion, calculation of mean, median and mode of grouped and ungrouped data, calculation of standard deviation, variance and mean deviation for grouped and ungrouped data, probability of an event, addition and multiplication theorems of probability, Bayes’ theorem, probability distribution of a random variable

Unit 14

Trigonometry

Trigonometrical identities, trigonometrical functions, inverse trigonometrical functions and their properties

Unit No

Unit Name

Topics Covered

Unit 1

Units and Measurements

Units of measurement, system of units, SI units, fundamental and derived units, least count, significant figures, errors in measurements, dimensions of physical quantities, dimensional analysis and its applications

Unit 2

Kinematics

Frame of reference, motion in a straight line, speed and velocity, uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time and position-time graphs, relations for uniformly accelerated motion, relative velocity, motion in a plane, projectile motion, uniform circular motion

Unit 3

Laws of Motion

Force and inertia, Newton’s first law of motion, momentum, Newton’s second law of motion, impulse, Newton’s third law of motion, law of conservation of linear momentum and its applications, equilibrium of concurrent forces, static and kinetic friction, laws of friction, rolling friction, dynamics of uniform circular motion, centripetal force and its applications including vehicle on a level circular road and vehicle on a banked road

Unit 4

Work, Energy and Power

Work done by a constant force and a variable force, kinetic and potential energies, work-energy theorem, power, potential energy of a spring, conservation of mechanical energy, conservative and non-conservative forces, motion in a vertical circle, elastic and inelastic collisions in one and two dimensions

Unit 5

Rotational Motion

Centre of mass of a two-particle 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 moment of inertia for simple geometrical objects, parallel and perpendicular axes theorems and their applications, equilibrium of rigid bodies, rigid body rotation, equations of rotational motion, comparison of linear and rotational motion

Unit 6

Gravitation

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, motion of a satellite, orbital velocity, time period and energy of satellite

Unit 7

Properties of Solids and Liquids

Elastic behaviour, stress-strain relationship, Hooke’s law, Young’s modulus, bulk modulus and modulus of rigidity, pressure due to a fluid column, Pascal’s law and applications, effect of gravity on fluid pressure, viscosity, Stoke’s law, terminal velocity, streamline and turbulent flow, critical velocity, Bernoulli’s principle and applications, surface energy and surface tension, angle of contact, excess pressure across a curved surface, applications of surface tension including drops, bubbles and capillary rise, heat, temperature, thermal expansion, specific heat capacity, calorimetry, change of state, latent heat, heat transfer through conduction, convection and radiation

Unit 8

Thermodynamics

Thermal equilibrium, concept of temperature, zeroth law of thermodynamics, heat, work and internal energy, first law of thermodynamics, isothermal and adiabatic processes, second law of thermodynamics, reversible and irreversible processes

Unit 9

Kinetic Theory of Gases

Equation of state of a perfect gas, work done on compressing a gas, kinetic theory of gases, assumptions, concept of pressure, kinetic interpretation of temperature, RMS speed of gas molecules, degrees of freedom, law of equipartition of energy and applications to specific heat capacities of gases, mean free path, Avogadro’s number

Unit 10

Oscillations and Waves

Oscillations and periodic motion, time period, frequency, displacement as a function of time, periodic functions, simple harmonic motion and its equation, phase, oscillations of a spring, restoring force and force constant, energy in SHM, kinetic and potential energies, simple pendulum and derivation of time period, wave motion, longitudinal and transverse waves, speed of travelling waves, 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

Unit 11

Electrostatics

Electric charges, conservation of charge, Coulomb’s law, forces between two-point charges, forces between multiple charges, superposition principle and continuous charge distribution, electric field, electric field due to a point charge, electric field lines, electric dipole, electric field due to a dipole, torque on a dipole in a uniform electric field, electric flux, Gauss’s law and its applications to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell, electric potential and its calculation for point charge, electric dipole and system of charges, potential difference, equipotential surfaces, electrical potential energy of a system of two-point charges and of an electric dipole in an electrostatic field, conductors and insulators, dielectrics and electric polarization, capacitors and capacitance, combination of capacitors in series and parallel, capacitance of a parallel plate capacitor with and without dielectric medium, energy stored in a capacitor

Unit 12

Current Electricity

Electric current, drift velocity, mobility and their relation with electric current, Ohm’s law, electrical resistance, I-V characteristics of ohmic and non-ohmic conductors, electrical energy and power, electrical resistivity and conductivity, series and parallel combinations of resistors, temperature dependence of resistance, internal resistance, potential difference and emf of a cell, combination of cells in series and parallel, Kirchhoff’s laws and applications, Wheatstone bridge, metre bridge

Unit 13

Magnetic Effects of Current and Magnetism

Biot-Savart law and its application to current-carrying circular loop, Ampere’s law and its applications to infinitely long straight wire and solenoid, force on a moving charge in uniform magnetic and electric fields, force on a current-carrying conductor in a uniform magnetic field, force between two parallel current-carrying conductors, definition of ampere, torque experienced by a current loop in a uniform magnetic field, moving coil galvanometer, its sensitivity and conversion to ammeter and voltmeter, current loop as a magnetic dipole, magnetic dipole moment, bar magnet as an equivalent solenoid, magnetic field lines, magnetic field due to a magnetic dipole along its axis and perpendicular to its axis, torque on a magnetic dipole in a uniform magnetic field, para-, dia- and ferromagnetic substances, effect of temperature on magnetic properties

Unit 14

Electromagnetic Induction and Alternating Currents

Electromagnetic induction, Faraday’s law, induced emf and current, Lenz’s law, eddy currents, self and mutual inductance, alternating currents, peak and RMS value of alternating current and voltage, reactance and impedance, LCR series circuit, resonance, power in AC circuits, wattless current, AC generator, transformer

Unit 15

Electromagnetic Waves

Displacement current, electromagnetic waves and their characteristics, transverse nature of electromagnetic waves, electromagnetic spectrum including radio waves, microwaves, infrared, visible, ultraviolet, X-rays and gamma rays, applications of electromagnetic waves

Unit 16

Optics

Reflection of light, spherical mirrors, mirror formula, refraction of light at plane and spherical surfaces, thin lens formula, lens maker formula, total internal reflection and applications, magnification, power of a lens, combination of thin lenses in contact, refraction through a prism, microscope and astronomical telescope including reflecting and refracting types and their magnifying powers, wave optics, wavefront and Huygens’ principle, laws of reflection and refraction using Huygens’ principle, interference, Young’s double-slit experiment and fringe width, coherent sources and sustained interference of light, diffraction due to a single slit, width of central maximum, polarization, plane-polarized light, Brewster’s law, uses of plane-polarized light and Polaroid

Unit 17

Dual Nature of Matter and Radiation

Dual nature of radiation, photoelectric effect, Hertz and Lenard’s observations, Einstein’s photoelectric equation, particle nature of light, matter waves, wave nature of particle, de Broglie relation

Unit 18

Atoms and Nuclei

Alpha-particle scattering experiment, Rutherford’s model of atom, Bohr model, energy levels, hydrogen spectrum, composition and size of nucleus, atomic masses, mass-energy relation, mass defect, binding energy per nucleon and its variation with mass number, nuclear fission and fusion

Unit 19

Electronic Devices

Semiconductors, semiconductor diode, I-V characteristics in forward and reverse bias, diode as a rectifier, I-V characteristics of LED, photodiode, solar cell, Zener diode, Zener diode as a voltage regulator, logic gates including OR, AND, NOT, NAND and NOR

Unit No

Unit Name

Topics Covered

Unit 1

Some Basic Concepts in Chemistry

Matter and its nature, Dalton’s atomic theory, concept of atom, molecule, element and compound, laws of chemical combination, atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae, chemical equations, stoichiometry

Unit 2

Atomic Structure

Nature of electromagnetic radiation, photoelectric effect, hydrogen spectrum, Bohr model of hydrogen atom, derivation of energy and radius of orbits, limitations of Bohr’s model, dual nature of matter, de Broglie relationship, Heisenberg uncertainty principle, elementary quantum mechanics, quantum mechanical model of atom, atomic orbitals, variation of ψ and ψ² with r for 1s and 2s orbitals, quantum numbers and significance, shapes of s, p and d orbitals, electron spin, spin quantum number, Aufbau principle, Pauli exclusion principle, Hund’s rule, electronic configuration, extra stability of half-filled and completely filled orbitals

Unit 3

Chemical Bonding and Molecular Structure

Kossel-Lewis approach, ionic and covalent bonds, ionic bond formation and factors affecting it, lattice enthalpy, electronegativity, Fajan’s rule, dipole moment, VSEPR theory and shapes of simple molecules, valence bond theory, hybridization involving s, p and d orbitals, resonance, molecular orbital theory, LCAO, bonding and antibonding orbitals, sigma and pi bonds, molecular orbital configuration of homonuclear diatomic molecules, bond order, bond length, bond energy, metallic bonding, hydrogen bonding and applications

Unit 4

Chemical Thermodynamics

System and surroundings, extensive and intensive properties, state functions, entropy, types of processes, first law of thermodynamics, work, heat, internal energy, enthalpy, heat capacity, molar heat capacity, Hess’s law, enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization and solution, second law of thermodynamics, spontaneity of processes, ΔS of universe, ΔG of system, standard Gibbs energy change and equilibrium constant

Unit 5

Solutions

Methods of expressing concentration including molality, molarity, mole fraction and percentage by volume and mass, vapour pressure of solutions, Raoult’s law, ideal and non-ideal solutions, vapour pressure-composition plots, colligative properties, relative lowering of vapour pressure, depression of freezing point, elevation of boiling point, osmotic pressure, determination of molecular mass using colligative properties, abnormal molar mass, van’t Hoff factor and its significance

Unit 6

Equilibrium

Dynamic equilibrium, equilibria involving physical processes, solid-liquid, liquid-gas, gas-gas and solid-gas equilibria, Henry’s law, characteristics of equilibrium involving physical processes, law of chemical equilibrium, equilibrium constants Kp and Kc, significance of ΔG and ΔG°, factors affecting equilibrium such as concentration, pressure, temperature and catalyst, Le Chatelier’s principle, ionic equilibrium, weak and strong electrolytes, ionization of electrolytes, Arrhenius, Bronsted-Lowry and Lewis concepts of acids and bases, ionization, acid-base equilibria, ionization constants, ionization of water, pH scale, common ion effect, hydrolysis of salts, solubility of sparingly soluble salts, solubility product and buffer solutions

Unit 7

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 conductivity and variation with concentration, Kohlrausch’s law and its applications, electrolytic and galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half-cell and cell reactions, emf of galvanic cell and measurement, Nernst equation and applications, relationship between cell potential and Gibbs energy change, dry cell, lead accumulator, fuel cells

Unit 8

Chemical Kinetics

Rate of chemical reaction, factors affecting rate including concentration, temperature, pressure and catalyst, elementary and complex reactions, order and molecularity, rate law, rate constant and units, differential and integral forms of zero and first-order reactions, characteristics and half-lives, effect of temperature, Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions

Unit No

Unit Name

Topics Covered

Unit 9

Classification of Elements and Periodicity in Properties

Modern periodic law, present form of periodic table, s, p, d and f block elements, periodic trends in atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states and chemical reactivity

Unit 10

p-Block Elements

Group 13 to Group 18 elements, electronic configuration, general trends in physical and chemical properties across periods and down groups, unique behaviour of the first element in each group

Unit 11

d- and f-Block Elements

Transition elements, general introduction, electronic configuration, occurrence, characteristics, general trends in physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation, preparation, properties and uses of K₂Cr₂O₇ and KMnO₄, lanthanoids including electronic configuration, oxidation states and lanthanoid contraction, actinoids including electronic configuration and oxidation states

Unit 12

Coordination Compounds

Introduction to coordination compounds, Werner’s theory, ligands, coordination number, denticity, chelation, IUPAC nomenclature of mononuclear coordination compounds, isomerism, bonding by valence bond approach and basic ideas of crystal field theory, colour and magnetic properties, importance in qualitative analysis, extraction of metals and biological systems

Unit No

Unit Name

Topics Covered

Unit 13

Purification and Characterisation of Organic Compounds

Purification by crystallization, sublimation, distillation, differential extraction and chromatography, principles and applications, qualitative analysis for nitrogen, sulphur, phosphorus and halogens, quantitative analysis basic principles for estimation of carbon, hydrogen, nitrogen, halogens, sulphur and phosphorus, empirical and molecular formula calculations, numerical problems in organic quantitative analysis

Unit 14

Some Basic Principles of Organic Chemistry

Tetravalency of carbon, shapes of simple molecules, hybridization involving s and p, classification of organic compounds based on functional groups and compounds containing halogens, oxygen, nitrogen and sulphur, homologous series, structural and stereoisomerism, trivial and IUPAC nomenclature, covalent bond fission, homolytic and heterolytic cleavage, free radicals, carbocations, carbanions, stability of carbocations and free radicals, electrophiles, nucleophiles, inductive effect, electromeric effect, resonance, hyperconjugation, common types of organic reactions including substitution, addition, elimination and rearrangement

Unit 15

Hydrocarbons

Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties and reactions, alkanes, conformations using Sawhorse and Newman projections of ethane, mechanism of halogenation of alkanes, alkenes, geometrical isomerism, mechanism of electrophilic addition, addition of hydrogen, halogens, water and hydrogen halides, Markovnikov and peroxide effect, ozonolysis, 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-Crafts alkylation and acylation, directive influence of functional group in monosubstituted benzene

Unit 16

Organic Compounds Containing Halogens

General methods of preparation, properties and reactions, nature of C-X bond, mechanisms of substitution reactions, uses, environmental effects of chloroform, iodoform, freons and DDT

Unit 17

Organic Compounds Containing Oxygen

General methods of preparation, properties, reactions and uses, alcohols, phenols and ethers, identification of primary, secondary and tertiary alcohols, mechanism of dehydration, acidic nature of phenols, electrophilic substitution reactions including halogenation, nitration and sulphonation, Reimer-Tiemann reaction, ethers and their structure, aldehydes and ketones including nature of carbonyl group, nucleophilic addition to >C=O group, relative reactivities, important reactions including addition of HCN, NH₃ and derivatives, Grignard reagent, oxidation, reduction by Wolff-Kishner and Clemmensen methods, acidity of alpha hydrogen, aldol condensation, Cannizzaro reaction, haloform reaction, chemical tests to distinguish aldehydes and ketones, carboxylic acids including acidic strength and factors affecting it

Unit 18

Organic Compounds Containing Nitrogen

General methods of preparation, properties, reactions and uses, amines including nomenclature, classification, structure, basic character, identification of primary, secondary and tertiary amines and their basic character, diazonium salts and their importance in synthetic organic chemistry

Unit 19

Biomolecules

General introduction and importance of biomolecules, carbohydrates, classification, aldoses and ketoses, monosaccharides including glucose and fructose, constituent monosaccharides of oligosaccharides including sucrose, lactose and maltose, proteins, elementary idea of alpha-amino acids, peptide bond, polypeptides, primary, secondary, tertiary and quaternary structure of proteins, denaturation of proteins, enzymes, vitamins including classification and functions, nucleic acids, chemical constitution of DNA and RNA, biological functions of nucleic acids, hormones