The paper wise IIT JEE Advance syllabus is
mentioned as under, click on the following links:
Mathematics
Physics
Chemistry
MATHEMATICS:
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 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.
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.
PHYSICS:
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-vmethod, 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 andCp 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
CHEMISTRY
Physical 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, neutralisation, and displacement reactions; Concentration
in terms of mole fraction, molarity, molality and normality.
Gaseous and liquid states: 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 reactions;
Order of reactions; Rate constant; First order reactions; Temperature
dependence of 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.
Inorganic
Chemistry:
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; Oxygen:
ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous
acid, sulphuric acid and sodium thiosulphate; 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,
cis-trans 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+; Potassium permanganate, potassium
dichromate, silver oxide, silver nitrate, silver thiosulphate.
Ores and minerals: Commonly occurring ores and
minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.
Extractive metallurgy: Chemical principles and
reactions only (industrial details excluded); Carbon reduction method (iron and
tin); Self reduction method (copper and lead); Electrolytic reduction method
(magnesium and aluminium); Cyanide process (silver and gold).
Principles of qualitative analysis: Groups I to V
(only Ag+, Hg2+, Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+,
Mn2+ and Mg2+); Nitrate, halides (excluding fluoride), sulphate and
sulphide.
Organic Chemistry:
Concepts: Hybridisation of carbon; σ and π-bonds;
Shapes of simple organic molecules; Structural and geometrical isomerism;
Optical isomerism of compounds containing up to two asymmetric centres, (R,S
and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds
(only hydrocarbons, mono-functional and bi-functional compounds); Conformations
of ethane and butane (Newman projections); Resonance and hyperconjugation;
Keto-enoltautomerism; Determination of empirical and molecular formulae of
simple compounds (only combustion method); Hydrogen bonds: definition and their
effects on physical properties of alcohols and carboxylic acids; Inductive and
resonance effects on acidity and basicity of organic acids and bases; Polarity
and inductive effects in alkyl halides; Reactive intermediates produced during
homolytic and heterolytic bond cleavage; Formation, structure and stability of
carbocations, carbanions and free radicals.
Preparation, properties and reactions of
alkanes: Homologous series, physical properties of alkanes (melting
points, boiling points and density); Combustion and halogenation of alkanes;
Preparation of alkanes by Wurtz reaction and decarboxylation reactions.
Preparation, properties and reactions of alkenes and
alkynes: Physical properties of alkenes and alkynes (boiling points,
density and dipole moments); Acidity of alkynes; Acid catalysed hydration of
alkenes and alkynes (excluding the stereochemistry of addition and
elimination); Reactions of alkenes with KMnO4 and ozone; Reduction of
alkenes and alkynes; Preparation of alkenes and alkynes by elimination
reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O
(X=halogen); Addition reactions of alkynes; Metal acetylides.
Reactions of benzene: Structure and aromaticity;
Electrophilic substitution reactions: halogenation, nitration, sulphonation,
Friedel-Crafts alkylation and acylation; Effect of o-,
m- and p-directing groups in monosubstituted benzenes.
Phenols: Acidity, electrophilic substitution
reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction,
Kolbe reaction.
Characteristic reactions of the following (including
those mentioned above): Alkyl halides: rearrangement reactions of alkyl
carbocation, Grignard reactions, nucleophilic substitution reactions; 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.
FAQs
1. I have taken
admission into one of the NITs in 2015. Am I eligible for JEE (Advanced) 2016?
Answer: Yes. Candidates who have taken admissions in NITs
in 2015 are also eligible for appearing in JEE (Advanced) 2016, if they satisfy
all other eligibility criteria given
2. I have accepted
seat through JoSAA 2015. Am I eligible for JEE (Advanced) 2016?
Answer: If you have accepted seat in IITs/ISM then you are NOT eligible for JEE (Advanced) 2016. However, if you have accepted a seat in
NITs/IIITs/Other GFTIs through JoSAA 2015 then you are eligible for JEE
(Advanced) 2016.
3. I have taken
admission in one of the IITs/ISM for preparatory course. Am I eligible for JEE
(Advanced) 2016?
Answer: Yes. You are eligible for JEE (Advanced) 2016
subject to fulfilling other eligible criteria.
4. Writing Paper-1 and
Paper-2 in JEE (Advanced) 2016 compulsory?
Answer: Yes, it is compulsory. If a candidate is absent in
one of the papers, then the candidate will be considered as absent in the
examination.
5. Can I get question
paper in Hindi language?
Answer: Yes. JEE (Advanced) 2016 offers question papers in
two languages: English and Hindi. Candidates have to choose the language option
during the JEE (Advanced) 2016 registration.
6. Can I get question papers in English
as well as in Hindi?
Answer: Candidates will get only one question paper -
either English question paper or Hindi question paper but not both.
7. Will the question paper be bilingual
(both in Hindi and English)?
Answer: No. Candidate will get the question papers in only
one language (English or Hindi).
8. If I am absent in
one of the papers, will my result be declared?
Answer: You will be considered absent in the examination
and the result will not be prepared. It is compulsory to appear in both the
papers for result preparation.
9. Are PIO and OCI card holders eligible
to appear in JEE (Advanced) 2016?
Answer: Yes. All foreign nationals including PIO and OCI
card holders are eligible. Please refer to the relevant section of Information
Brochure for more information.
10. I am a defense
service personnel. Can my child get a seat under DS category?
Answer: Not all defense service personnels' children are
eligible for DS category seats. DS category seats are earmarked for children of
defence / paramilitary personnel killed or permanently disabled in action
during war or peacetime operations.
11. During examination
can I modify my answers bubbled on ORS?
Answer: No. Since the bubbling on ORS is done using only
black ball point pen, candidates cannot modify the answers once bubbled.
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