JEE Advanced (IIT Entrance)

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Chemistry (JEE & NEET)

Physical Chemistry, Organic Mechanisms, Periodic Table & Chemical Bonding

• Some Basic Concepts in Chemistry and Mole ConceptLaws of chemical combination, atomic and molecular masses, the mole concept, stoichiometry and concentration terms.
• Atomic StructureBohr model, dual nature of matter, quantum numbers, orbitals, electronic configuration and Heisenberg uncertainty principle.
• Chemical Bonding and Molecular StructureIonic and covalent bonding, VSEPR geometry, valence bond and molecular orbital theory, hybridisation and hydrogen bonding.
• Chemical Thermodynamics and ThermochemistryFirst and second laws, internal energy, enthalpy, entropy, Gibbs free energy and spontaneity of chemical reactions.
• Chemical and Ionic EquilibriumReversible reactions, equilibrium constant, Le Chatelier principle, acids and bases, pH, buffers and solubility product.
• Redox Reactions and ElectrochemistryOxidation states, balancing redox equations, electrochemical cells, electrode potentials, Nernst equation and conductance.
• Chemical KineticsRate of reaction, order and molecularity, integrated rate laws, half life, activation energy and the Arrhenius equation.
• Solutions and Colligative PropertiesTypes of solutions, Raoult law, ideal and non ideal solutions, and colligative properties with van t Hoff factor.
• Classification of Elements and PeriodicityModern periodic law, periodic table structure and trends in atomic radius, ionisation energy, electron affinity and electronegativity.
• p-Block ElementsGroup trends and chemistry of groups 13 to 18 including boron, carbon, nitrogen, oxygen, halogen and noble gas families.
• d and f Block ElementsTransition and inner transition elements, variable oxidation states, colour, magnetic behaviour and lanthanoid and actinoid chemistry.
• Coordination CompoundsWerner theory, ligands, nomenclature, isomerism, valence bond and crystal field theory and applications of coordination compounds.
• Basic Principles of Organic Chemistry and HydrocarbonsIUPAC nomenclature, isomerism, electronic effects, reaction mechanisms and the chemistry of alkanes, alkenes, alkynes and aromatics.
• Organic Compounds Containing Oxygen, Nitrogen and HalogensChemistry of haloalkanes, alcohols, phenols, ethers, aldehydes, ketones, carboxylic acids and amines with reactions and mechanisms.
• BiomoleculesStructure and functions of carbohydrates, proteins, amino acids, enzymes, vitamins, nucleic acids and hormones.

Mathematics (JEE & NDA)

Differential Calculus, Integral Calculus, Vectors, 3D Geometry & Matrices

• Sets, Relations and FunctionsSet operations and algebra, types of relations, equivalence relations, and one one, onto and composite functions.
• Complex Numbers and Quadratic EquationsAlgebra of complex numbers, modulus and argument, Argand plane, and roots and nature of quadratic equations.
• Matrices and DeterminantsAlgebra and types of matrices, evaluation of determinants, adjoint and inverse, and solving linear systems.
• Permutations and CombinationsFundamental principle of counting, arrangements and selections, and simple applications to counting problems.
• Binomial Theorem and Its Simple ApplicationsBinomial expansion for positive integral index, general and middle terms, and simple applications.
• Sequence and SeriesArithmetic and geometric progressions, arithmetic and geometric means, and the relation between the two means.
• Limits, Continuity, Differentiability and Applications of DerivativesLimits and continuity, differentiation rules, derivatives of standard functions, and applications like maxima, minima and rate of change.
• Integral CalculusIndefinite integration by substitution, parts and partial fractions, definite integrals, and areas bounded by curves.
• Differential EquationsOrder and degree of differential equations, separation of variables, homogeneous equations and linear first order equations.
• Coordinate Geometry: Straight Lines and CirclesCartesian coordinates, distance and section formulas, equations of straight lines, and the geometry of circles.
• Conic SectionsStandard equations and properties of the parabola, ellipse and hyperbola including foci, directrices and eccentricity.
• Three Dimensional GeometryCoordinates in space, direction cosines and ratios, equations of lines and planes, and distances and angles between them.
• Vector AlgebraAddition of vectors, scalar and vector products, scalar triple product and geometric applications of vectors.
• Statistics and ProbabilityMeasures of dispersion, probability of events, conditional probability, Bayes theorem and probability distributions.
• TrigonometryTrigonometric identities and equations, inverse trigonometric functions, and heights and distances applications.

Physics (JEE & NEET)

Kinematics, Thermodynamics, Electromagnetism, Optics & Modern Physics

• Basic Vectors for PhysicsPhysics-first vector tools: components, unit vectors, dot and cross products, relative velocity, forces, torque, angular momentum and field/flux framing.
• Kinematics, Newtons Laws and Projectile MotionMotion in one and two dimensions using vectors, relative velocity, projectile trajectories and the three laws of motion with friction.
• Work, Energy and PowerWork done by constant and variable forces, kinetic and potential energy, conservation of energy, and power for conservative and non conservative systems.
• Center of Mass and System of ParticlesCenter of mass location and motion for particle systems, rigid bodies, explosions, impulse-momentum links and variable-mass framing.
• Collisions in One and Two DimensionsImpulse, coefficient of restitution, elastic and inelastic collisions, 1D head-on results, oblique/2D collisions and COM-frame methods.
• Rotational Motion and Rigid Body DynamicsMoment of inertia, torque, angular momentum, rolling motion and equilibrium of rigid bodies about fixed and moving axes.
• GravitationUniversal law of gravitation, gravitational field and potential, escape and orbital velocity, and Keplers laws of planetary motion.
• Properties of Solids and LiquidsElasticity, fluid pressure, Pascal and Bernoulli principles, viscosity, surface tension and thermal properties of matter.
• Thermodynamics and Kinetic Theory of GasesLaws of thermodynamics, thermodynamic processes, heat engines, and the kinetic theory relating pressure and temperature to molecular motion.
• Oscillations and WavesSimple harmonic motion, springs and pendulums, wave propagation, superposition, beats, resonance and the Doppler effect in sound.
• ElectrostaticsCoulombs law, electric field and potential, Gauss law, capacitors, dielectrics and energy stored in electric fields.
• Current ElectricityOhms law, resistivity, series and parallel circuits, Kirchhoff rules, Wheatstone bridge, potentiometer and electrical measuring instruments.
• Magnetic Effects of Current and MagnetismBiot Savart and Ampere laws, magnetic force on charges and currents, moving coil galvanometer and properties of magnetic materials.
• Electromagnetic Induction and Alternating CurrentsFaraday and Lenz laws, self and mutual inductance, AC circuits with resistors inductors and capacitors, resonance and transformers.
• Electromagnetic WavesDisplacement current, transverse nature of electromagnetic waves, their speed in vacuum and the electromagnetic spectrum from radio waves to gamma rays.
• Ray and Wave OpticsReflection and refraction at mirrors and lenses, optical instruments, interference, diffraction and polarisation of light.
• Dual Nature of Matter, Atoms and NucleiPhotoelectric effect, matter waves, Bohr model of the atom, nuclear structure, radioactivity and mass energy relation.
• Units and MeasurementsSI units, dimensions, significant figures, error analysis and least-count based instrument readings used across JEE Physics.
• Electronic Devices (Semiconductors)Semiconductor basics, p-n junction diodes, rectifiers, optoelectronic devices, Zener regulation and logic gates for JEE Main.
• Experimental SkillsJEE Physics laboratory methods, instrument least count, error handling and standard experiment formulas from mechanics, fluids, heat, optics and electricity.

Previous year papers

• JEE Advanced Previous Year Question PapersOfficial papers with provenance, free to read.