JEE Main prep that follows the official syllabus, day by day

1. 1.Units and Measurements

   Units of measurement and systems of units · SI units: fundamental and derived units · Least count · Significant figures · Errors in measurements · Dimensions of physical quantities · Dimensional analysis and its applications

2. 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 and its relations · Velocity-time and position-time graphs · Relative velocity · Motion in a plane · Projectile motion · Uniform circular motion

3. 3.Laws of Motion

   Force and inertia · Newton's first law of motion · Momentum and Newton's second law · Impulse · Newton's third law of motion · Conservation of linear momentum and applications · Equilibrium of concurrent forces · Static and kinetic friction · Laws of friction and rolling friction · Dynamics of uniform circular motion · Centripetal force: level and banked roads

4. 4.Work, Energy and Power

   Work done by constant and variable forces · 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

5. 5.Rotational Motion

   Centre of mass of a two-particle system · Centre of mass of a rigid body · Moment of a force and torque · Angular momentum and its conservation · Moment of inertia and radius of gyration · Moments of inertia of simple geometrical objects · Parallel and perpendicular axes theorems · Equilibrium of rigid bodies · Rigid body rotation and equations of rotational motion · Comparison of linear and rotational motions

6. 6.Gravitation

   Universal law of gravitation · Acceleration due to gravity and its variation · Kepler's laws of planetary motion · Gravitational potential energy and potential · Escape velocity · Motion of a satellite: orbital velocity, period and energy

7. 7.Properties of Solids and Liquids

   Elastic behaviour and 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 its applications · Effect of gravity on fluid pressure · Viscosity, Stokes' law and terminal velocity · Streamline and turbulent flow, critical velocity · Bernoulli's principle and its applications · Surface energy and surface tension · Angle of contact and excess pressure across a curved surface · Drops, bubbles and capillary rise · Heat, temperature and thermal expansion · Specific heat capacity and calorimetry · Change of state and latent heat · Heat transfer: conduction, convection and radiation

8. 8.Thermodynamics

   Thermal equilibrium and 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

9. 9.Kinetic Theory of Gases

   Equation of state of a perfect gas · Work done on compressing a gas · Assumptions of kinetic theory and concept of pressure · Kinetic interpretation of temperature · RMS speed of gas molecules · Degrees of freedom and law of equipartition of energy · Specific heat capacities of gases · Mean free path · Avogadro's number

10. 10.Oscillations and Waves

    Periodic motion: time period and 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 · Simple pendulum and its time period · Longitudinal and transverse waves · Speed of a travelling wave · Displacement relation for a progressive wave · Principle of superposition and reflection of waves · Standing waves in strings and organ pipes · Fundamental mode and harmonics · Beats

11. 11.Electrostatics

    Electric charges and conservation of charge · Coulomb's law and forces between multiple charges · Superposition principle and continuous charge distribution · Electric field due to a point charge · Electric field lines · Electric dipole and its field · Torque on a dipole in a uniform electric field · Electric flux and Gauss's law · Applications of Gauss's law: wire, plane sheet, spherical shell · Electric potential of a point charge, dipole and system of charges · Potential difference and equipotential surfaces · Electrical potential energy of charges and dipoles · Conductors and insulators · Dielectrics and electric polarization · Capacitors and capacitance · Combination of capacitors in series and parallel · Parallel plate capacitor with and without dielectric · Energy stored in a capacitor

12. 12.Current Electricity

    Electric current, drift velocity and mobility · Ohm's law and 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 and metre bridge

13. 13.Magnetic Effects of Current and Magnetism

    Biot-Savart law and circular current loop · Ampere's law: straight wire and solenoid · Force on a moving charge in magnetic and electric fields · Force on a current-carrying conductor · Force between parallel currents and definition of ampere · Torque on a current loop in a magnetic field · Moving coil galvanometer and conversion to ammeter and voltmeter · Current loop as a magnetic dipole · Bar magnet as an equivalent solenoid and field lines · Magnetic field of a bar magnet along and perpendicular to its axis · Torque on a magnetic dipole in a uniform field · Para-, dia- and ferromagnetic substances · Effect of temperature on magnetic properties

14. 14.Electromagnetic Induction and Alternating Currents

    Faraday's law and induced emf and current · Lenz's law · Eddy currents · Self and mutual inductance · Peak and RMS values of alternating current and voltage · Reactance and impedance · LCR series circuit and resonance · Power in AC circuits and wattless current · AC generator and transformer

15. 15.Electromagnetic Waves

    Displacement current · Electromagnetic waves and their characteristics · Transverse nature of electromagnetic waves · Electromagnetic spectrum · Applications of electromagnetic waves

16. 16.Optics

    Reflection of light, spherical mirrors and mirror formula · Refraction at plane and spherical surfaces · Thin lens formula and lens maker's formula · Total internal reflection and its applications · Magnification and power of a lens · Combination of thin lenses in contact · Refraction of light through a prism · Microscope and astronomical telescope · Wavefront and Huygens' principle · Reflection and refraction using Huygens' principle · Young's double-slit experiment and fringe width · Coherent sources and sustained interference · Diffraction due to a single slit · Polarization, Brewster's law and Polaroids

17. 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 and de Broglie relation

18. 18.Atoms and Nuclei

    Alpha-particle scattering experiment · Rutherford's model of atom · Bohr model and energy levels · Hydrogen spectrum · Composition and size of nucleus, atomic masses · Mass-energy relation and mass defect · Binding energy per nucleon and its variation · Nuclear fission and fusion

19. 19.Electronic Devices

    Semiconductors · Semiconductor diode: I-V characteristics · Diode as a rectifier · LED, photodiode and solar cell · Zener diode as a voltage regulator · Logic gates: OR, AND, NOT, NAND and NOR

20. 20.Experimental Skills

    Vernier calipers · Screw gauge · Simple pendulum: dissipation of energy · Metre scale: mass by principle of moments · Young's modulus of a metallic wire · Surface tension of water by capillary rise · Coefficient of viscosity by terminal velocity · Speed of sound using a resonance tube · Specific heat capacity by method of mixtures · Resistivity of a wire using a metre bridge · Resistance of a wire using Ohm's law · Galvanometer resistance and figure of merit · Focal length of mirrors and convex lens by parallax · Angle of deviation vs angle of incidence for a prism · Refractive index of a glass slab with travelling microscope · Characteristic curves of a p-n junction diode · Characteristic curves of a Zener diode · Identifying diode, LED, resistor and capacitor

Official sources:cdnbbsr.s3waas.gov.injeemain.nta.nic.in

1. 1.Some Basic Concepts in Chemistry

   Matter and its nature · Dalton's atomic theory · Atom, molecule, element and compound · Laws of chemical combination · Atomic and molecular masses · Mole concept and molar mass · Percentage composition · Empirical and molecular formulae · Chemical equations and stoichiometry

2. 2.Atomic Structure

   Nature of electromagnetic radiation · Photoelectric effect · Spectrum of the hydrogen atom · Bohr model: postulates, energy and radii of orbits · Limitations of Bohr's model · Dual nature of matter and de Broglie relationship · Heisenberg uncertainty principle · Quantum mechanical model of the atom · Atomic orbitals as one-electron wave functions · Variation of psi and psi squared with r for 1s and 2s · Quantum numbers and their significance · Shapes of s, p and d orbitals · Electron spin and spin quantum number · Aufbau principle, Pauli's exclusion principle and Hund's rule · Electronic configuration and stability of half-filled and filled orbitals

3. 3.Chemical Bonding and Molecular Structure

   Kossel-Lewis approach to chemical bonding · Formation of ionic bonds and factors affecting it · Lattice enthalpy · Electronegativity and 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 and LCAO · Bonding and antibonding orbitals, sigma and pi bonds · MO configurations of homonuclear diatomic molecules · Bond order, bond length and bond energy · Metallic bonding · Hydrogen bonding and its applications

4. 4.Chemical Thermodynamics

   System and surroundings · Extensive and intensive properties, state functions · Types of processes · First law: work, heat, internal energy and enthalpy · Heat capacity and molar heat capacity · Hess's law of constant heat summation · Enthalpies of bond dissociation, combustion and formation · Enthalpies of atomization, sublimation, phase transition, hydration, ionization and solution · Second law and spontaneity of processes · Entropy change of the universe and Gibbs energy as criteria · Standard Gibbs energy change and equilibrium constant

5. 5.Solutions

   Expressing concentration: molality, molarity, mole fraction, percentage · Vapour pressure of solutions and Raoult's law · Ideal and non-ideal solutions · Vapour pressure-composition plots · Relative lowering of vapour pressure · Depression of freezing point · Elevation of boiling point · Osmotic pressure · Molecular mass from colligative properties · Abnormal molar mass and van't Hoff factor

6. 6.Equilibrium

   Concept of dynamic equilibrium · Equilibria involving physical processes · Henry's law · Law of chemical equilibrium · Equilibrium constants Kp and Kc · Significance of Gibbs energy change in chemical equilibrium · Factors affecting equilibrium and Le Chatelier's principle · Weak and strong electrolytes and ionization · Arrhenius, Bronsted-Lowry and Lewis acids and bases · Acid-base equilibria and ionization constants · Ionization of water and pH scale · Common ion effect · Hydrolysis of salts and pH of their solutions · Solubility of sparingly soluble salts and solubility product · Buffer solutions

7. 7.Redox Reactions and Electrochemistry

   Electronic concepts of oxidation and reduction · Oxidation number and its rules · Balancing redox reactions · Electrolytic and metallic conduction · Conductance and molar conductivity variation with concentration · Kohlrausch's law and its applications · Electrolytic and galvanic cells · Electrode potentials and standard electrode potential · Half-cell and cell reactions, emf of a galvanic cell · Nernst equation and its applications · Cell potential and Gibbs energy change · Dry cell, lead accumulator and fuel cells

8. 8.Chemical Kinetics

   Rate of a chemical reaction · Factors affecting rate: concentration, temperature, pressure, catalyst · Elementary and complex reactions · Order and molecularity · Rate law, rate constant and its units · Zero and first-order reactions and half-lives · Effect of temperature and Arrhenius theory · Activation energy and its calculation · Collision theory of bimolecular gaseous reactions

9. 9.Classification of Elements and Periodicity in Properties

   Modern periodic law and the periodic table · s, p, d and f block elements · Atomic and ionic radii · Ionization enthalpy · Electron gain enthalpy · Valence, oxidation states and chemical reactivity

10. 10.p-Block Elements

    Group 13 to Group 18 elements · Electronic configuration and general trends · Trends in physical and chemical properties · Unique behaviour of the first element in each group

11. 11.d- and f-Block Elements

    Transition elements: electronic configuration and occurrence · Trends in first-row transition elements · Ionization enthalpy, oxidation states and atomic radii · Colour, catalytic behaviour and magnetic properties · Complex formation, interstitial compounds and alloys · Preparation, properties and uses of K2Cr2O7 and KMnO4 · Lanthanoids and lanthanoid contraction · Actinoids: electronic configuration and oxidation states

12. 12.Coordination Compounds

    Werner's theory · Ligands, coordination number and denticity · Chelation · IUPAC nomenclature of mononuclear coordination compounds · Isomerism in coordination compounds · Valence bond approach · Crystal field theory basics · Colour and magnetic properties · Importance of coordination compounds

13. 13.Purification and Characterisation of Organic Compounds

    Crystallization, sublimation and distillation · Differential extraction and chromatography · Detection of nitrogen, sulphur, phosphorus and halogens · Estimation of carbon, hydrogen, nitrogen, halogens, sulphur and phosphorus · Calculation of empirical and molecular formulae · Numerical problems in organic quantitative analysis

14. 14.Some Basic Principles of Organic Chemistry

    Tetravalency of carbon and shapes of simple molecules · Hybridization (s and p) · Classification of organic compounds by functional groups · Homologous series · Structural isomerism and stereoisomerism · Nomenclature: trivial and IUPAC · Homolytic and heterolytic bond fission · Free radicals, carbocations and carbanions and their stability · Electrophiles and nucleophiles · Inductive effect and electromeric effect · Resonance and hyperconjugation · Substitution, addition, elimination and rearrangement reactions

15. 15.Hydrocarbons

    Classification, isomerism and IUPAC nomenclature · General methods of preparation, properties and reactions · Alkanes: conformations, Sawhorse and Newman projections · Mechanism of halogenation of alkanes · Alkenes: geometrical isomerism · Electrophilic addition to alkenes · Markownikoff's rule and peroxide effect · Ozonolysis and polymerization · Alkynes: acidic character and addition reactions · Benzene: structure and aromaticity · Electrophilic substitution: halogenation and nitration · Friedel-Crafts alkylation and acylation · Directive influence of functional groups in monosubstituted benzene

16. 16.Organic Compounds Containing Halogens

    General methods of preparation, properties and reactions · Nature of C-X bond · Mechanisms of substitution reactions · Uses and environmental effects of chloroform, iodoform, freons and DDT

17. 17.Organic Compounds Containing Oxygen

    General methods of preparation, properties, reactions and uses · Alcohols: identification and mechanism of dehydration · Phenols: acidic nature and electrophilic substitution · Reimer-Tiemann reaction · Ethers: structure · Nature of the carbonyl group · Nucleophilic addition to aldehydes and ketones · Relative reactivities of aldehydes and ketones · Grignard reagent, oxidation and reduction · Wolff-Kishner and Clemmensen reductions · Acidity of alpha-hydrogen · Aldol condensation, Cannizzaro and haloform reactions · Tests to distinguish aldehydes and ketones · Carboxylic acids: acidic strength and factors

18. 18.Organic Compounds Containing Nitrogen

    General methods of preparation, properties, reactions and uses · Amines: nomenclature, classification and structure · Basic character of amines · Identification of primary, secondary and tertiary amines · Diazonium salts in synthetic organic chemistry

19. 19.Biomolecules

    Importance of biomolecules · Carbohydrates: classification, aldoses and ketoses · Glucose and fructose · Sucrose, lactose and maltose · Alpha-amino acids and peptide bond · Structure of proteins · Denaturation of proteins and enzymes · Vitamins: classification and functions · Nucleic acids: DNA and RNA · Hormones

20. 20.Principles Related to Practical Chemistry

    Detection of nitrogen, sulphur and halogens in organic compounds · Detection of hydroxyl, carbonyl, carboxyl and amino groups · Preparation of Mohr's salt and potash alum · Preparation of acetanilide, p-nitroacetanilide, aniline yellow and iodoform · Titrimetric exercises: acids, bases and indicators · Oxalic acid vs KMnO4 and Mohr's salt vs KMnO4 · Qualitative salt analysis: cations · Qualitative salt analysis: anions · Enthalpy of solution of CuSO4 · Enthalpy of neutralization of strong acid and strong base · Preparation of lyophilic and lyophobic sols · Kinetics of iodide ions with hydrogen peroxide

Official sources:cdnbbsr.s3waas.gov.injeemain.nta.nic.in

1. 1.Sets, Relations and Functions

   Sets and their representation · Union, intersection and complement of sets · Algebraic properties of sets · Power set · Relations and types of relations · Equivalence relations · One-one, into and onto functions · Composition of functions

2. 2.Complex Numbers and Quadratic Equations

   Complex numbers as ordered pairs of reals · Representation in the form a + ib · Argand diagram · Algebra of complex numbers · Modulus and argument of a complex number · Quadratic equations in real and complex number systems · Relations between roots and coefficients · Nature of roots · Formation of quadratic equations with given roots

3. 3.Matrices and Determinants

   Algebra of matrices · Types of matrices · Determinants of order two and three · Evaluation of determinants · Area of triangles using determinants · Adjoint and inverse of a square matrix · Test of consistency of linear equations · Solving linear equations using matrices

4. 4.Permutations and Combinations

   Fundamental principle of counting · Permutations and combinations · Meaning of P(n, r) and C(n, r) · Simple applications

5. 5.Binomial Theorem and Its Simple Applications

   Binomial theorem for a positive integral index · General term and middle term · Simple applications

6. 6.Sequence and Series

   Arithmetic progressions · Geometric progressions · Insertion of arithmetic and geometric means · Relation between A.M. and G.M.

7. 7.Limit, Continuity and Differentiability

   Real-valued functions and algebra of functions · Polynomial, rational, trigonometric, logarithmic and exponential functions · Inverse functions · Graphs of simple functions · Limits · Continuity · Differentiability · Differentiation of sum, difference, product and quotient · Differentiation of trigonometric and inverse trigonometric functions · Differentiation of logarithmic and exponential functions · Differentiation of composite and implicit functions · Derivatives of order up to two · Rate of change of quantities · Increasing and decreasing functions · Maxima and minima of functions of one variable

8. 8.Integral Calculus

   Integral as an anti-derivative · Fundamental integrals · Integration by substitution · Integration by parts · Integration by partial fractions · Integration using trigonometric identities · Evaluation of simple integrals of standard types · Fundamental theorem of calculus · Properties of definite integrals · Evaluation of definite integrals · Areas of regions bounded by simple curves

9. 9.Differential Equations

   Order and degree of ordinary differential equations · Solution by separation of variables · Homogeneous differential equations · Linear differential equations dy/dx + p(x)y = q(x)

10. 10.Co-ordinate Geometry

    Cartesian system of rectangular coordinates · Distance formula and section formula · Locus and its equation · Slope of a line, parallel and perpendicular lines · Intercepts of a line on the axes · Various forms of equations of a line · Intersection of lines and angle between two lines · Concurrence of three lines · Distance of a point from a line · Centroid, orthocentre and circumcentre of a triangle · Standard and general forms of the equation of a circle · Circle on a given diameter · Intersection of a line and a circle · Sections of conics · Parabola in standard form · Ellipse in standard form · Hyperbola in standard form

11. 11.Three Dimensional Geometry

    Coordinates of a point in space · Distance between two points and section formula · Direction ratios and direction cosines · Angle between two intersecting lines · Equation of a line · Skew lines and shortest distance between them

12. 12.Vector Algebra

    Vectors and scalars · Addition of vectors · Components of a vector in two and three dimensions · Scalar product · Vector product

13. 13.Statistics and Probability

    Measures of dispersion · Mean, median and mode of grouped and ungrouped data · Standard deviation, variance and mean deviation · Probability of an event · Addition and multiplication theorems of probability · Bayes' theorem · Probability distribution of a random variable

14. 14.Trigonometry

    Trigonometrical identities · Trigonometrical functions · Inverse trigonometrical functions and their properties

Official sources:cdnbbsr.s3waas.gov.injeemain.nta.nic.in