JEE Main Syllabus
JEE Main 2021 Syllabus
The syllabus for JEE Main 2021 examination will be based on the curriculum for Physics, Chemistry, and Mathematics in Class 11 and 12. Aspirants must ensure they plan ahead and prepare adequately to crack JEE Main 2021 Exam. JEE Main February 2021 examination will consist of two papers: JEE Main PaperI (B.Tech) consisting of Physics, Chemistry, Mathematics, and JEE Main PaperII (B.Arch) consisting of Mathematics, Aptitude, and Drawing. One should properly prepare for the examination with the help of NCERT Books.
The syllabus of JEE Main Exam is based on class 11th and 12th subjects like Physics, Chemistry, and Mathematics. Aspirants for JEE Main 2021 exam must prepare accordingly and crack the exams with good rank.
Why was the JEE Main 2021 modified?
The compilation of syllabus for JEE Main 2021 is done here based on the subjects. They are categorized in order to understand the weightage of chapters in the JEE Main 2021 Exam.
The mapping of JEE Main 2021 syllabus is done by undertaking the textbooks of Class 11th and 12th to ensure uniformity across the globe and to understand the different topics in each subject mentioned below:
Physics  Measurement 
Kinematics  
Thermodynamics  
Work, energy, and power  
Rotational motion  
Gravitation  
Laws of motion  
Properties of solids and liquids  
Electronic devices  
Kinetic theory of gases  
Oscillations and waves  
Communication systems  
Current electricity  
Magnetic effects of current and magnetism  
Electromagnetic induction and alternating currents  
Electromagnetic waves  
Optics  
Dual nature of matter and radiation  
Electrostatics  
Atoms and Nuclei  
Mathematics  Sets, relations, and functions 
Complex numbers and quadratic equations  
Matrices and determinants  
Mathematical reasoning  
Mathematical induction  
Permutations and combinations  
Sequences and series  
Lbw, continuity, and differentiability  
Integral calculus  
Differential equations  
Binomial theorem and its simple applications  
Threedimensional geometry  
Vector algebra  
Coordinate geometry  
Statistics and probability  
Trigonometry  
Chemistry  Physical Chemistry 
Some basic concepts in chemistry  
States of matter  
Atomic structure  
Chemical bonding and molecular structure  
Chemical thermodynamics  
Solutions  
Equilibrium  
Redox reactions and electrochemistry  
Chemical kinetics  
Surface chemistry  
Organic Chemistry  
Purification and characterization of organic compounds  
Hydrocarbons  
Chemistry in everyday life  
Principles related to practical chemistry  
Organic compounds coining halogens  
Organic compounds coining oxygen  
Organic compounds coining nitrogen  
Polymers  
Some basic principles of organic chemistry  
Biomolecules  
Inorganic Chemistry  
Classification of elements and periodicity in properties  
Hydrogen  
Block elements (alkali and alkaline earth metals)  
Block elements group 13 to group 18 elements  
D  and f  block elements  
Coordination compounds  
Environmental chemistry  
General principles and processes of isolation of metals 
JEE Main 2021 Physics Syllabus
There are 2 sections in Physics, section A and section B. Section A contains theory with a weightage of 80%, and Section B contains the practical part with a weightage of 20% marks. Electricity, mechanics, and magnetism are the concepts that constitute around 65% of marks distribution.

Section A:

UNIT 1: Physics and Measurement
 Physics, technology, and society
 S.I. units, Fundamental, and derived units.
 Least count, accuracy, and precision of measuring instruments, Significant figures, Errors in measurement.
 Dimensions of Physical quantities, dimensional analysis, and applications.

UNIT 2: Kinematics
 Frames 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, Scalar and Vector products, Zero Vector Unit Vector, Resolution of a Vector.
 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.
 Static and Kinetic friction, laws of friction, rolling friction.
 Law of conservation of linear momentum and its applications, Equilibrium of concurrent forces.
 Dynamics of uniform circular motion: Centripetal force and its applications.

UNIT 4: Work, Energy, and Power
 Work is done by a constant force and a variable force; kinetic and potential energies, workenergy theorem, power.
 The potential energy of a spring, conservation of mechanical energy, conservative and nonconservative forces; Elastic and inelastic collisions in one and two dimensions.

UNIT 5: Rotational Motion
 Centre of the mass of a twoparticle system, Centre of the mass of a rigid body; Basic concepts of rotational motion; the moment of a force, torque, angular momentum, conservation of angular momentum and its applications; a moment of inertia, the 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.

UNIT 6: Gravitation
 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.

UNIT 7: Properties of Solids and Liquids
 Elastic behavior, 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, the 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.

UNIT 8: Thermodynamics
 Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature.
 Heat, work, and internal energy.
 The first law of thermodynamics.
 The second law of thermodynamics: reversible and irreversible processes.
 Carnot engine and its efficiency.

UNIT 9: Kinetic Theory of Gases
 The equation of state of a perfect gas, work done on compressing a gas.
 Kinetic theory of gases  assumptions, the 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.

UNIT 10: Oscillations and Waves
 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 period; Free, forced and damped oscillations, resonance.
 Wave motion. Longitudinal and transverse waves, the speed of a wave.
 Displacement relation for a progressive wave.
 Principle of superposition of waves, the reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound

UNIT 11: Electrostatics
 Electric charges: Conservation of charge, Coulomb’s lawforces 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 find fields due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
 Electric potential and its calculation for a point charge, electric dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges in an electrostatic field.
 Conductors and insulators, Dielectrics and electric polarization, capacitor, the combination of capacitors in series and parallel, the capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor.

UNIT 12: Current Electricity
 Electric current, Drift velocity, Ohm’s law, Electrical resistance, Resistances of different materials, VI characteristics of Ohmic and nonohmic conductors, Electrical energy and power, Electrical resistivity, Colour code for resistors; Series and parallel combinations of resistors; Temperature dependence of resistance.
 Electric Cell and its Internal resistance, potential difference, and emf of a cell, the combination of cells in series and parallel. Kirchhoff’s laws and their applications. Wheatstone bridge, Metre bridge. Potentiometer  principle and its applications.

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 current carrying straight wire and solenoid.
 Force on a moving charge in uniform magnetic and electric fields.
 Cyclotron.
 Force on a currentcarrying conductor in a uniform magnetic field.
 The force between two parallel currentcarrying conductorsdefinition of the ampere.
 Torque experienced by a current loop in a uniform magnetic field; Moving coil galvanometer, its current sensitivity, and conversion to ammeter and voltmeter.
 Current loop as a magnetic dipole and its magnetic dipole moment.
 Bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements. Para, dia and ferromagnetic substances.
 Magnetic susceptibility and permeability, Hysteresis, Electromagnets, and permanent magnets.

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/ voltage; reactance and impedance; LCR series circuit, resonance; Quality factor, power in AC circuits, wattles current.
 AC generator and transformer.

UNIT 15: Electromagnetic Waves
 Electromagnetic waves and their characteristics.
 Transverse nature of electromagnetic waves.
 Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays).
 Applications of e.m. waves.

UNIT 16: Optics
 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 doubleslit 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 planepolarized light and Polaroids.

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 waveswave nature of the particle, de Broglie relation.
 DavissonGermer experiment.

UNIT 18: Atoms and Nuclei
 Alphaparticle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum.
 Composition and size of the 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.

UNIT 19: Electronic Devices
 Semiconductors; semiconductor diode: IV characteristics in forward and reverse bias; diode as a rectifier; IV 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.

UNIT 20: Communication Systems
 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)

UNIT 1: Physics and Measurement

Section B

UNIT 21: Experiment Skills: Familiarity with the basic approach and observations of the experiments and activities
 Vernier callipers  its use to measure the internal and external diameter and depth of a vessel.
 Screw gaugeits use to determine thickness/diameter of thin sheet/wire.
 Simple Pendulumdissipation of energy by plotting a graph between the square of amplitude and time.
 Metre scalemass of a given object by the principle of moments.
 Young’s modulus of elasticity of the material of a metallic wire.
 The surface tension of water by capillary rise and effect of detergents.
 Coefficient of Viscosity of a given viscous liquid by measuring the terminal velocity of a given spherical body.
 Plotting a cooling curve for the relationship between the temperature of a hot body and time.
 Speed of sound in air at room temperature using a resonance tube.
 Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures.
 The resistivity of the material of a given wire using meter bridge.
 The resistance of a given wire using Ohm’s law.
 Potentiometer  (i) Comparison of emf of two primary cells. (ii) Determination of internal resistance of a cell.
 Resistance and figure of merit of a galvanometer by half deflection method.
 The focal length of (i) Convex mirror (ii) Concave mirror, and (iii) Convex lens using the parallax method.
 The plot of the angle of deviation vs angle of incidence for a triangular prism.
 Refractive index of a glass slab using a traveling microscope.
 Characteristic curves of a pn junction diode in forward and reverse bias.
 Characteristic curves of a Zener diode and finding reverse break down voltage.
 Characteristic curves of a transistor and finding current gain and voltage gain.
 Identification of Diode, LED, Transistor, IC, Resistor, Capacitor from mixed collection of such items.
 Using the multimeter to (i) Identity base of a transistor (ii) Distinguish between NPN and PNP type transistor (iii) See the unidirectional flow of current in case of a diode and an LED. (iv) Check the correctness or otherwise of a given electronic component (diode, transistor, or IC).

UNIT 21: Experiment Skills: Familiarity with the basic approach and observations of the experiments and activities
JEE Main 2021 Syllabus Chemistry

Section A (Physical Chemistry):

UNIT 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.

UNIT 2: States of Matter Classification of matter into a 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 behavior, compressibility factor, van der Waals equation, liquefaction of gases, critical constants.
 Liquid State: Properties of liquids  vapor 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 (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, an imperfection in solids; Electrical, magnetic and dielectric properties.

UNIT 3: Atomic Structure
 Discovery of subatomic particles (electron, proton, and neutron); Thomson and Rutherford atomic models and their limitations; Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom, Bohr model of the hydrogen atom  its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr’s model; Dual nature of matter, de Broglie's relationship, Heisenberg uncertainty principle.
 Elementary ideas of quantum mechanics, the quantum mechanical model of an atom, its important features, the concept of atomic orbitals as oneelectron wave functions; Variation of Ψ and Ψ2 with r for 1s 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.

UNIT 4: Chemical Bonding and Molecular Structure
 Kossel  Lewis approach to chemical bond formation, a 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, Fagan'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, the 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, the concept of bond order, bond length, and bond energy.
 Elementary idea of metallic bonding. Hydrogen bonding and its applications.

UNIT 5: Chemical Thermodynamics
 Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, types of processes.
 The 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.
 The second law of thermodynamics: Spontaneity of processes; ΔS of the universe and ΔG of the system as criteria for spontaneity, ΔGo (Standard Gibbs energy change), and equilibrium constant.

UNIT 6: Solutions
 Different methods for expressing the concentration of solution  molality, molarity, mole fraction, percentage (by volume and mass both), the vapor pressure of solutions and Raoult’s Law  Ideal and nonideal solutions, vapor pressure  composition, plots for ideal and nonideal solutions; Colligative properties of dilute solutions  the relative lowering of vapor pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, van Hoff factor and its significance.

UNIT 7: Equilibrium
 The meaning of equilibrium, the concept of dynamic equilibrium.
 Equilibria involving physical processes: Solidliquid, liquid  gas, and solidgas 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, the significance of ΔG and ΔGo in chemical equilibria, factors affecting equilibrium concentration, pressure, temperature, the 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, acidbase equilibria (including multistage ionization) and ionization constants, ionization of water, pH scale, common ion effect, hydrolysis of salts and pH of their solutions, the solubility of sparingly soluble salts and solubility products, buffer solutions.

UNIT 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, specific and 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; Corrosion and its prevention.

UNIT 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 firstorder reactions, their characteristics and halflives, the effect of temperature on the rate of reactions  Arrhenius theory, activation energy, and its calculation, collision theory of bimolecular gaseous reactions (no derivation).

UNIT 10: Surface Chemistry
 Adsorption  Physisorption and chemisorption and their characteristics, factors affecting the 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; multi molecular, macromolecular and associated colloids (micelles), preparation and properties of colloids  Tyndall effect, Brownian movement, electrophoresis, dialysis, coagulation, and flocculation; Emulsions and their characteristics.

UNIT 1: Some Basic Concepts in Chemistry

Section B (Inorganic Chemistry):

UNIT 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 elementsatomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity.

UNIT 12: General Principles and Process 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.

UNIT 13: Hydrogen
 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.

UNIT 14: s  Block Elements (Alkali and Alkaline Earth Metals)
 Group 1 and Group 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, sodium chloride, sodium hydroxide, and sodium hydrogen carbonate; Industrial uses of lime, limestone, Plaster of Paris and cement; Biological significance of Na, K, Mg and Ca.

UNIT 15: p  Block Elements
 Group 13 to Group 18 Elements
 General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behavior of the first element in each group.
 Groupwise study of the p – block elements
 Group 13  Preparation, properties, and uses of boron and aluminum; Structure, properties, and uses of borax, boric acid, diborane, boron trifluoride, aluminum chloride, and alums.
 Group 14  Tendency for catenation; Structure, properties, and uses of allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites, and silicones.
 Group 15  Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure, and uses of ammonia, nitric acid, phosphine, and phosphorus halides, (PCl3, PCl5); Structures of oxides and oxoacids of nitrogen and phosphorus.
 Group 16  Preparation, properties, structures, and uses of dioxygen and ozone; Allotropic forms of sulfur; Preparation, properties, structures, and uses of sulfur dioxide, sulphuric acid (including its industrial preparation); Structures of oxoacids of sulfur.
 Group 17  Preparation, properties and uses of chlorine and hydrochloric acid; Trends in the acidic nature of hydrogen halides; Structures of Interhalogen compounds and oxides and oxoacids of halogens.
 Group 18  Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon.

UNIT 16: d – and f – Block Elements
 Transition Elements
 General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the firstrow transition elements  physical properties, ionization enthalpy, oxidation states, atomic radii, color, catalytic behavior, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties, and uses of K2Cr2O7 and KMnO4.
 Inner Transition Elements
 Lanthanoids  Electronic configuration, oxidation states, chemical reactivity, and lanthanoid contraction.
 Actinoids  Electronic configuration and oxidation states.

UNIT 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, color and magnetic properties; Importance of coordination compounds (in qualitative analysis, extraction of metals and in biological systems).

UNIT 18: Environment Chemistry
 Environmental pollution  Atmospheric, water, and soil.
 Atmospheric pollution  Tropospheric and stratospheric
 Tropospheric pollutants  Gaseous pollutants: Oxides of carbon, nitrogen, and sulfur, hydrocarbons; their sources, harmful effects, and prevention; Greenhouse effect and Global warming; Acid rain; Particulate pollutants: Smoke, dust, smog, fumes, mist; their sources, harmful effects, and prevention.
 Stratospheric pollution  Formation and breakdown of ozone, depletion of the ozone layer  its mechanism and effects.
 Water Pollution  Major pollutants such as pathogens, organic wastes, and chemical pollutants; their harmful effects and prevention.
 Soil pollution  Major pollutants such as Pesticides (insecticides, herbicides, and fungicides), their harmful effects and prevention.
 Strategies to control environmental pollution.

UNIT 11: Classification of Elements and Periodicity in Properties

Section C (Organic Chemistry):

UNIT 19: Purification and Characterisation of Organic Compounds
 Purification  Crystallization, sublimation, distillation, differential extraction, and chromatography  principles and their applications.
 Qualitative analysis  Detection of nitrogen, sulfur, phosphorus, and halogens.
 Quantitative analysis (basic principles only)  Estimation of carbon, hydrogen, nitrogen, halogens, sulfur, phosphorus.
 Calculations of empirical formulae and molecular formulae; Numerical problems in organic quantitative analysis.

UNIT 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: bC = C ,C? C  and those coining halogens, oxygen, nitrogen, and sulfur; 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.

UNIT 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, oxidation, 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 the functional group in monosubstituted benzene.

UNIT 22: Organic Compounds Coining 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.

UNIT 23: Organic Compounds Coining Oxygen
 General methods of preparation, properties, reactions, and uses.
 Alcohols, Phenols, and Ethers
 Alcohols: Identification of primary, secondary, and tertiary alcohols; mechanism of dehydration.
 Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration, and sulphonation, Reimer  Tiemann reaction.
 Ethers: Structure.
 Aldehyde and Ketones
 Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as  Nucleophilic addition reactions (addition of HCN, NH3, and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); the acidity of  hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones.
 Carboxylic Acids: Acidic strength and factors affecting it.

UNIT 24: Organic Compounds Coining Nitrogen
 General methods of preparation, properties, reactions, and uses.
 Amines: Nomenclature, classification, structure, basic character, and identification of primary, secondary, and tertiary amines and their basic character.
 Diazonium Salts: Importance in synthetic organic chemistry.

UNIT 25: Polymers
 General introduction and classification of polymers, general methods of polymerization  addition and condensation, copolymerization;
 Natural and synthetic rubber and vulcanization; some important polymers with emphasis on their monomers and uses  polyethylene, nylon, polyester, and bakelite.

UNIT 26: BioMolecules
 General introduction and importance of biomolecules.
 Carbohydrates  Classification: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosaccharides (sucrose, lactose, maltose), and polysaccharides (starch, cellulose, glycogen).
 Proteins  Elemery Idea of amino acids, peptide bond, polypeptides; Proteins: primary, secondary, tertiary, and quaternary structure (qualitative idea only), denaturation of proteins, enzymes.
 Vitamins  Classification and functions.
 Nucleic Acids  Chemical constitution of DNA and RNA. Biological functions of nucleic acids.

UNIT 27: Chemistry in Everyday Life
 Chemicals in medicines  Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, acids, antihistamines  their meaning, and common examples.
 Chemicals in food  Preservatives, artificial sweetening agents  common examples.
 Cleansing agents  Soaps and detergents, cleansing action.

UNIT 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.

The chemistry involved in the preparation of the following inorganic compounds: Mohr’s salt, potash alum.
 Inorganic compounds: Mohr’s salt, potash alum. Organic compounds: Acetanilide, pnitroacetanilide, aniline yellow, iodoform.

The chemistry involved in the titrimetric exercises 
 Acids Bases and the use of indicators, oxalicacid vs KMnO4, Mohr’s salt vs KMnO4.

Chemical principles involved in the qualitative salt analysis
 Cations  Pb2+ , Cu2+, AI3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+.
 Anions CO32, S2, SO42, NO2, NO3, CI, Br, I. (Insoluble salts excluded).

Chemical principles involved in the following experiments: Enthalpy of solution of CuSO4
 Enthalpy of neutralization of strong acid and strong base.Preparation of lyophilic and lyophobic sols.
 Preparation of lyophilic and lyophobic sols. Kinetic study of
 Kinetic study of the reaction of iodide ion with hydrogen peroxide at room temperature.

Detection of extra elements (N, S, halogens) in organic compounds:

UNIT 19: Purification and Characterisation of Organic Compounds
JEE Main 2021 Syllabus Mathematics
Concept strength, numerical problemsolving skills in a limited time, and familiarity with number functions go a long way with JEE Main 2021 Mathematics syllabus.

UNIT 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, a 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 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. The relation between roots and coefficients, nature of roots, the 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. 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.

UNIT 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.

UNIT 5: Mathematical Induction
 Principle of Mathematical Induction and its simple applications.

UNIT 6: Binomial Theorem
 Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients, and simple applications.

UNIT 7: Sequences and Series
 Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. The relation between A.M. and G.M. Sum up to n terms of special series: Sn, Sn2, Sn3. ArithmeticGeometric progression.

UNIT 8: Limit, Continuity, and Differentiability
 Realvalued 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 up to 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.

UNIT 9: Integral Calculus
 Integral as an antiderivative. Fundamental integrals involving algebraic, trigonometric, exponential, and logarithmic functions. Integration by substitution, by parts, and by partial fractions. Integration using trigonometric identities.
 Evaluation of simple integrals of the type 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.

UNIT 10: Differential Equations
 Ordinary differential equations, their order, and degree. Formation of differential equations. The solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations.

UNIT 11: Coordinate Geometry
 Cartesian system of rectangular coordinates in a plane, distance formula, section formula, locus, and its equation, translation of axes, the 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, the distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of the centroid, orthocentre, and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.
 Circles, conic sections
 The standard form of the equation of a circle, the general form of the equation of a circle, its radius and center, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the center 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.

UNIT 12: ThreeDimensional Geometry
 Coordinates of a point in space, the distance between two points, section formula, direction ratios and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them and their equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.

UNIT 13: Vector Algebra
 Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar, and vector triple product.

UNIT 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.

UNIT 15: Trigonometry
 Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances.

UNIT 16: Mathematical Reasoning
 Statements, logical operations, and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse, and contrapositive.

Measures of Dispersion
JEE Main 2021 Syllabus Aptitude Test
This part is only applicable for the candidates opting for B.Arch./B.Planning (PaperII)

PartI
 Awareness of persons, places, Buildings, Materials.
 Objects, Texture related to Architecture, and build~environment.
 Visualizing threedimensional objects from twodimensional drawings.
 Different sides of threedimensional objects.
 Analytical Reasoning Mel Ability (Visual, Numerical, and Verbal).

PartII
 Threedimensional  perception: Understanding and appreciation of scale and proportion of objects, building forms, and elements, color texture, harmony, and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2D and 3D union, subtraction, rotation, development of surfaces and volumes, Generation of Plan, elevations and 3D views of objects. Creating twodimensional and threedimensional compositions using given shapes and forms.
Sketching: Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces, etc.), landscape (riverfront, jungles. gardens, trees, plants, etc.), and rural life.
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