JEE Advanced Syllabus

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Table Of Contents
  1. Physics
  2. Chemistry
  3. Mathematics
  4. General Information for JEE Advanced

Physics

1. General
  • Units and dimensions, dimensional analysis, least count, significant figures.
  • Error analysis for physical quantities in experiments:
    • Vernier calipers, screw gauge.
    • Determination of g using a simple pendulum.
    • Young’s modulus, surface tension (water), capillary rise.
    • Calorimetry, focal length determination, speed of sound, Ohm’s law.
2. Mechanics
  • Kinematics: Motion in one and two dimensions, projectiles, uniform circular motion.
  • Newton’s Laws: Inertial and accelerated frames, friction, energy, work, power.
  • Momentum: Linear momentum, conservation laws, elastic/inelastic collisions.
  • Rigid Body Dynamics: Moment of inertia, torque, angular momentum, rolling motion.
  • Oscillations: Simple harmonic motion, forced/damped oscillations, resonance.
  • Gravitation: Law of gravitation, Kepler’s laws, escape velocity, motion of planets.
  • Fluid Mechanics: Pascal’s law, buoyancy, surface tension, Bernoulli’s theorem.
  • Wave Motion: Longitudinal and transverse waves, superposition, beats, Doppler effect.
3. Thermal Physics
  • Thermal expansion of solids, liquids, gases; calorimetry, latent heat.
  • Heat Transfer: Conduction, convection, radiation, Newton’s law of cooling.
  • Thermodynamics: Ideal gas laws, first and second laws, Carnot engine, entropy.
  • Radiation: Blackbody radiation, Kirchhoff’s law, Stefan’s law, Wien’s law.
4. Electricity and Magnetism
  • Electrostatics: Coulomb’s law, electric fields, potential, capacitance.
  • Current Electricity: Ohm’s law, Kirchhoff’s laws, series/parallel circuits.
  • Magnetism: Biot-Savart law, Ampere’s law, magnetic field, force on a moving charge.
  • Electromagnetic Induction: Faraday’s law, Lenz’s law, inductance, LC circuits.
5. Electromagnetic Waves
  • Characteristics of electromagnetic waves, spectrum (radio to gamma rays), uses.
6. Optics
  • Reflection, refraction, dispersion, lenses, mirrors, magnification.
  • Wave Optics: Young’s double-slit experiment, polarization, diffraction.
7. Modern Physics
  • Atomic nucleus, radioactive decay, binding energy, nuclear reactions.
  • Photoelectric Effect: Bohr’s theory, de Broglie wavelength, X-rays.

Chemistry

1. General Topics
  • Atomic theory, mole concept, stoichiometry, redox reactions.
2. States of Matter
  • Ideal gas laws, kinetic theory, van der Waals equation, surface tension, viscosity.
3. Atomic Structure
  • Bohr model, wave-particle duality, quantum mechanical model of hydrogen, orbitals.
4. Chemical Bonding
  • Covalent bonding, hybridization, VSEPR theory, molecular orbital theory.
5. Thermodynamics
  • First and second laws, enthalpy, entropy, Gibbs free energy.
6. Chemical Equilibrium
  • Law of mass action, equilibrium constants, Le Chatelier’s principle.
7. Electrochemistry
  • Electrochemical cells, Nernst equation, galvanic cells, electrolysis.
8. Chemical Kinetics
  • Rate laws, reaction order, Arrhenius equation, catalysis.
9. Organic Chemistry
  • Hybridization, bond types, IUPAC nomenclature, isomerism.
  • Reactions of alkanes, alkenes, alkynes, benzene, alcohols, phenols, and amines.
  • Important reactions: Aldol condensation, Cannizzaro reaction, Grignard reactions.
10. Biomolecules
  • Carbohydrates, proteins, nucleic acids, enzymes.
11. Solid State
  • Classification of solids: crystalline and amorphous.
  • Crystal lattices, packing in crystals (fcc, bcc, hcp), defects in crystals.
  • Ionic solids, radius ratio, and point defects.
12. Solutions
  • Henry’s Law: Gas solubility in liquids.
  • Raoult’s Law: Ideal and non-ideal solutions.
  • Colligative properties: Vapor pressure lowering, boiling point elevation, freezing point depression, and osmotic pressure.
13. Surface Chemistry
  • Adsorption: Physical and chemical adsorption, adsorption isotherms (Freundlich).
  • Colloids: Types, preparation, properties.
  • Emulsions and micelles.
14. Classification of Elements and Periodicity
  • Modern periodic law, periodic table trends: Atomic and ionic radii, ionization energy, electron affinity, electronegativity, and chemical reactivity.
15. Hydrogen
  • Position in the periodic table, properties, uses.
  • Preparation of hydrogen and its isotopes, hydrides (ionic, covalent, interstitial).
  • Water, hydrogen peroxide, hydrogen as a fuel.
16. s-Block Elements
  • Properties and reactivity of alkali and alkaline earth metals.
  • Anomalous behavior of lithium and beryllium.
  • Important compounds of sodium and calcium (NaCl, NaOH, CaCO₃).
17. p-Block Elements
  • Properties and reactivity of groups 13-18.
  • Important compounds: Borax, orthoboric acid, diborane, boron trifluoride (Group 13); Carbon dioxide, silicon dioxide (Group 14); Nitrogen compounds, phosphorous compounds (Group 15); Sulfuric acid, sulfur dioxide (Group 16); Chlorine, hydrochloric acid (Group 17); Noble gases, xenon compounds (Group 18).
18. d-Block Elements
  • Oxidation states, complex formation, color and magnetic properties, catalytic behavior, preparation and reactions of oxoanions of chromium and manganese.
19. f-Block Elements
  • Lanthanoids and actinoids: Properties, oxidation states, lanthanoid contraction.
20. Coordination Compounds
  • Nomenclature, isomerism, VBT and CFT theories, hybridization, and geometry.
  • Magnetic properties, color of coordination compounds, applications.
21. Metallurgy
  • Extraction of metals (iron, copper, zinc, aluminum).
  • Thermodynamic and electrochemical principles of metallurgy.
  • Refining processes, cyanide process (silver, gold).
22. Environmental Chemistry
  • Pollution: Types (air, water, soil), causes, and control measures.
  • Green chemistry and its applications.
23. Organic Chemistry
  • Alkanes: Preparation, reactions (combustion, halogenation).
  • Alkenes and Alkynes: Preparation by elimination reactions, electrophilic addition, oxidation.
  • Benzene: Structure, electrophilic substitution (nitration, halogenation, sulfonation).
  • Phenols: Preparation, electrophilic substitution, oxidation, reduction.
  • Amines: Preparation from nitro compounds, nucleophilic substitution, Hoffmann bromamide degradation, diazonium salts.
  • Carboxylic Acids: Preparation, reactions (esterification, halogenation).
24. Biomolecules
  • Carbohydrates: Monosaccharides and disaccharides.
  • Proteins: Amino acids, peptide linkage, structure of proteins.
  • Nucleic Acids: DNA and RNA, structure, and function.
25. Polymers
  • Types of polymerization: Addition, condensation.
  • Important polymers: Nylon, Teflon, Bakelite, PVC, natural rubber.
  • Biodegradable polymers and their applications.

Mathematics

1. Algebra
  • Complex numbers, quadratic equations, arithmetic and geometric progressions.
  • Permutations and combinations, binomial theorem, logarithms.
2. Matrices
  • Matrix operations, determinants, inverse of matrices, solving linear equations.
3. Probability
  • Probability rules, Bayes theorem, random variables, mean and variance.
4. Trigonometry
  • Trigonometric functions, identities, inverse functions, equations.
5. Analytical Geometry
  • Equations of straight lines, circles, parabolas, ellipses, hyperbolas.
  • Distance formula, section formula, tangent and normal to curves.
6. Calculus
  • Differential Calculus: Limits, continuity, derivatives, mean value theorem, maxima and minima.
  • Integral Calculus: Definite and indefinite integrals, applications, differential equations.
7. Vectors
  • Vector addition, scalar and vector products, applications in geometry.
8. Differential Calculus
  • Limits: Limit of a function at a point, L’Hopital’s Rule.
  • Continuity: Continuity of composite functions, intermediate value theorem.
  • Derivatives: Basic rules, chain rule, higher-order derivatives, geometric interpretations.
  • Applications of Derivatives: Tangents, normals, monotonicity, maxima, minima.
9. Integral Calculus
  • Integration: Indefinite integrals, techniques (substitution, partial fractions).
  • Definite Integrals: Properties, applications in areas under curves.
  • Differential Equations: First-order differential equations, separation of variables.
10. Vectors and 3D Geometry
  • Vectors: Addition, scalar multiplication, dot product, cross product.
  • 3D Geometry: Line equations, plane equations, distance between lines and planes, angles between lines and planes.
11. Probability and Statistics
  • Probability:
    • Random experiments, sample space, types of events (simple, compound, independent).
    • Addition and multiplication rules, conditional probability, Bayes’ theorem.
    • Use of permutations and combinations in probability.
  • Statistics:
    • Measures of central tendency: Mean, median, mode.
    • Measures of dispersion: Range, mean deviation, variance, standard deviation.
    • Analysis of grouped and ungrouped data, frequency distributions, and their interpretation.
12. Matrices and Determinants
  • Matrices:
    • Definition, types of matrices (square, diagonal, symmetric, skew-symmetric).
    • Matrix operations: Addition, scalar multiplication, multiplication of matrices.
    • Transpose of a matrix, properties of matrices.
  • Determinants:
    • Determinant of a matrix, properties of determinants.
    • Adjoint and inverse of a square matrix (order up to 3×3).
    • Solving systems of linear equations using matrices and determinants (Cramer’s rule).
13. Trigonometry
  • Trigonometric Functions:
    • Periodicity, graphs of sine, cosine, tangent functions.
    • Trigonometric identities, sum and difference of angles, multiple angle identities.
  • Inverse Trigonometric Functions:
    • Principal values, properties of inverse trigonometric functions.
  • Trigonometric Equations:
    • General solutions of trigonometric equations.
    • Application of trigonometric identities and functions to solve problems.
14. Analytical Geometry
  • 2D Geometry:
    • Cartesian coordinates, distance formula, section formula.
    • Straight Lines: Equation of a line in various forms, angle between two lines, distance from a point to a line.
    • Circles: Equation of a circle, tangents, normals, chord properties.
    • Conic Sections: Parabola, ellipse, hyperbola – standard equations, foci, directrices, eccentricity.
  • 3D Geometry:
    • Distance between two points, direction cosines and direction ratios.
    • Equation of a line in space, skew lines, shortest distance between two lines.
    • Equation of a plane, angle between two planes, angle between a line and a plane.

General Information for JEE Advanced

Exam Structure

  • Type of Questions: Multiple choice questions (MCQs), numerical value questions, and matching type questions.
  • Duration: 3 hours per paper; there are two papers.
  • Subjects: Physics, Chemistry, and Mathematics.
  • Marking Scheme: The exam features both positive and negative marking. Some questions may have partial marking.

Recommended Preparation Strategy

  • Practice Previous Years’ Papers: Solving past papers is critical for understanding the format and timing of the exam.
  • Focus on Core Concepts: JEE Advanced tests conceptual clarity, so focus on thoroughly understanding fundamental principles in each subject.
  • Time Management: Develop a strategy to allocate sufficient time for each subject during preparation and the actual exam.
  • Mock Tests: Regularly take full-length mock tests to simulate exam conditions and identify weak areas. ( Student Login)

Useful Resources

  • NCERT Textbooks: Strongly recommended as they cover the basics and many important topics.
  • Reference Books: Some popular books for JEE Advanced preparation include:
    • Physics: H.C. Verma’s Concepts of Physics, D.C. Pandey’s Understanding Physics series.
    • Chemistry: O.P. Tandon’s Physical Chemistry, J.D. Lee’s Concise Inorganic Chemistry, and Organic Chemistry by Morrison and Boyd.
    • Mathematics: R.D. Sharma, I.A. Maron’s Calculus, and S.L. Loney’s books on trigonometry and coordinate geometry.

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