Physics
Chemistry
Mathematics
1.Physics
JEE (Advanced) Physics Syllabus
The
syllabus is same as previous IIT JEE Syllabus
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;
Alpha, beta and gamma 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.
2.
Chemistry
Chemistry
JEE (Advanced) Chemistry Syllabus
The
syllabus is same as previous IIT JEE Syllabus
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 ΔG° 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; Sigma and pi-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-enol
tautomerism; 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 (X=halogen) and H2O; 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.
3.
Mathematics
Mathematics
JEE (Advanced) Mathematics Syllabus
The
syllabus is same as previous IIT JEE Syllabus
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.
0 comments:
Post a Comment