[PDF] JEE Advanced Syllabus 2021 – Physics, chemistry Math and Architecture Aptitude Test
Updated on: May 5, 2021
Download detailed JEE Advanced Syllabus 2021 – NTA has released the syllabus of JEE Advanced 2021 along with the official notification on jeemain.nta.nic.in.
JEE Advanced 2021 syllabus pdf contains the subject-wise topics list from Physics, Chemistry, Mathematics and Architecture Aptitude Test. JEE Advanced syllabus helps candidates in their study and JEE Advanced preparation strategy.
JEE Advanced Syllabus 2021 (Physics, Chemistry Math and Architecture Aptitude Test)
Candidates can check and download the detailed syllabus of JEE Advanced 2021
JEE Advanced Physics Syllabus 2021
Below is the list of important chapters of Physics. Candidates should cover the entire JEE Advanded syllabus 2021 of Physics to score good marks.
General
Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box.
Mechanics
Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform circular motion; Relative velocity.
Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies.
Linear and angular simple harmonic motions.
Hooke’s law, Young’s modulus.
Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications. Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound in gases; Doppler effect (in sound).
Thermal Physics
Thermal expansion of solids
Liquids and gases
Calorimetry, latent heat
Heat conduction in one dimension
Elementary concepts of convection and radiation, Newton’s law of cooling
Ideal gas laws
Specific heats (Cv and Cp for monoatomic and diatomic gases)
Isothermal and adiabatic processes, bulk modulus of gases
Equivalence of heat and work
First law of thermodynamics and its applications (only for ideal gases)
Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law
Wien’s displacement law, Stefan’s law.
Electricity and Magnetism
Coulomb’s law; Electric field and potential; Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor.
Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.
Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field.
Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter, and their conversions.
Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources.
Optics
Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification.
Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment.
Modern Physics
Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Half Life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.
JEE Advanced Syllabus 2021- Chemistry
General Topics
Concept of atoms and molecules
Dalton’s atomic theory
Mole concept
Chemical formulae
Balanced chemical equations
Calculations (based on mole concept) involving common oxidation-reduction, neutralization, and displacement reactions
Concentration in terms of mole fraction, molarity, molality and normality.
Gaseous and Liquid State
Absolute scale of temperature, ideal gas equation
Deviation from ideality, van der Waals equation
Kinetic theory of gases, average, root mean square and most probable velocities and their relation with temperature
Law of partial pressures
Vapour pressure
Diffusion of gases.
Atomic Structure and Chemical Bonding
Bohr model, spectrum of hydrogen atom, quantum numbers
Wave-particle duality, de Broglie hypothesis
Uncertainty principle
Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals
Electronic configurations of elements (up to atomic number 36)
Aufbau principle
Pauli’s exclusion principle and Hund’s rule
Orbital overlap and covalent bond
Hybridisation involving s, p, and d orbitals only
Orbital energy diagrams for homonuclear diatomic species
Hydrogen bond
Polarity in molecules, dipole moment (qualitative aspects only)
VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral).
Energetics
First law of thermodynamics
Internal energy, work and heat, pressure-volume work
Enthalpy, Hess’s law
Heat of reaction, fusion and vapourization
Second law of thermodynamics
Entropy
Free energy
Criterion of spontaneity.
Chemical Equilibrium
Law of mass action
Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure)
Significance of ΔG and ΔG0 in chemical equilibrium
Solubility product, common ion effect, pH and buffer solutions
Acids and bases (Bronsted and Lewis concepts)
Hydrolysis of salts.
Electrochemistry
Electrochemical cells and cell reactions
Standard electrode potentials
Nernst equation and its relation to ΔG
Electrochemical series, emf of galvanic cells
Faraday’s laws of electrolysis
Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law
Concentration cells.
Chemical Kinetics
Rates of chemical reactionsOrder of reactionsRate constantFirst order reactionsTemperature dependence of the rate constant (Arrhenius equation).
Solid State
Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close-packed structure of solids (cubic), packing in fcc, bcc and hcp lattices
Nearest neighbours, ionic radii, simple ionic compounds, point defects.
Solutions
Raoult’s law
Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.
Surface Chemistry
Elementary concepts of adsorption (excluding adsorption isotherms)
Colloids: types, methods of preparation and general properties
Elementary ideas of emulsions, surfactants, and micelles (only definitions and examples).
Nuclear Chemistry
Radioactivity
Isotopes and isobars
Properties of α, β and γ rays
Kinetics of radioactive decay (decay series excluded), carbon dating
Stability of nuclei with respect to proton neutron ratio
Brief discussion on fission and fusion reactions.
Isolation/preparation and properties of the following non-metals
Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens
Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur
Preparation and properties of the following compounds
Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium
Boron: diborane, boric acid and borax
Aluminium: alumina, aluminium chloride and alums
Carbon: oxides and oxyacid (carbonic acid)
Silicon: silicones, silicates and silicon carbide
Nitrogen: oxides, oxyacids and ammonia
Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine
Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder
Xenon fluorides.
Transition Elements 3D Series
Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment
Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral).
Preparation and properties of the following compounds
Oxides and chlorides of tin and lead
Oxides, chlorides and sulphates of Fe2+, Cu2+ and Zn2+
Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and ketones
Ethers: Preparation by Williamson’s Synthesis
Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation
Aldol condensation, Perkin reaction
Cannizzaro reaction
Haloform reaction and nucleophilic addition reactions (Grignard addition)
Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis
Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction
Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution
Carbohydrates
Classification
Mono- and di-saccharides (glucose and sucrose)
Oxidation, reduction, glycoside formation and hydrolysis of sucrose.
Amino Acids and Peptides
General structure (only primary structure for peptides) and physical properties.
Properties and uses of some important polymers
Natural rubber, cellulose, nylon, teflon and PVC.
Practical Organic Chemistry
Detection of elements (N, S, halogens)
Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro
Chemical methods of separation of mono-functional organic compounds from binary mixtures.
JEE Advanced Syllabus 2021- Math
Algebra
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers. Logarithms and their properties.
Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.
Matrices
Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, Determinant of a square matrix of order up to three, Inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
Probability
Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
Trigonometry
Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.
Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).
Analytical Geometry
Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.
Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus problems.
Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.
Differential Calculus
Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.
Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.
Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.
Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s Theorem and Lagrange’s mean value theorem.
Integral Calculus
Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations
Vectors
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
JEE Advanced Syllabus 2021- Architecture Aptitude Test
Freehand Drawing
This would comprise of simple drawing depicting the total object in its right form and proportion, surface texture, relative location and details of its component parts in appropriate scale. Common domestic or day-to-day life usable objects like furniture, equipment, etc. from memory.
Geometrical Drawing
Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc. Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc.
Three-dimensional Perception
Understanding and appreciation of three-dimensional forms with building elements, colour, volume and orientation. Visualization through structuring objects in memory
Imagination and Aesthetic Sensitivity
Composition exercise with given elements. Context mapping. Creativity check through innovative uncommon test with familiar objects. Sense of colour grouping or application
Architectural Awareness
General interest and awareness of famous architectural creations – both national and international, places and personalities (architects, designers, etc.) in the related domain.
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