can i know the iit portion in all the 3 subjects 4 2011
JEE Mathematics Syllabus
Algebra of complex numbers, addition, multiplication, conjugation,
polar representation, properties of modulus and principal argument,
triangle inequality, cube roots of unity, geometric
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, independence of events, computation of probability of
events using permutations and combinations.
Trigonometric functions, their periodicity and graphs, addition
and subtraction formulae, formulae involving multiple and
sub-multiple angles, general solution of trigonometric
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).
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
Equations of a parabola, ellipse and hyperbola in standard form,
their foci, directrices and eccentricity, parametric equations,
equations of tangent and normal.
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.
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
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, applications of Rolle's Theorem and Lagrange's Mean
Integration as the inverse process of differentiation,
indefinite integrals of standard functions, definite integrals and
their properties, application of the Fundamental Theorem of
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, variables separable method,
linear first order differential equations.
Addition of vectors, scalar multiplication, scalar products, dot
and cross products, scalar triple products and their geometrical
JEE Chemistry Syllabus
General topics: The 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
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; Quantum mechanical picture of
hydrogen atom (qualitative treatment), 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 DG and DGo in chemical equilibrium;
Solubility product, common ion effect, pH and buffer solutions;
Acids and bases (Bronsted and Lewis concepts); Hydrolysis of
Electrochemistry: Electrochemical cells and cell reactions;
Electrode potentials; Nernst equation and its relation to DG;
Electrochemical series, emf of galvanic cells; Faraday's laws of
electrolysis; Electrolytic conductance, specific, equivalent and
molar conductance, 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, a, b, g), close packed
structure of solids (cubic), packing in fcc, bcc and hcp lattices;
Nearest neighbours, ionic radii, simple ionic compounds, point
Solutions: Raoult's law; Molecular weight determination from
lowering of vapor 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 a, b and g 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
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; Fertilizers: commercially available (common)
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
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
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,
sulphide and sulphite.
Concepts: Hybridisation of carbon; Sigma and pi-bonds; Shapes of
molecules; Structural and geometrical isomerism; Optical isomerism
of compounds containing up to two asymmetric centers, (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 formula 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
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
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,
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/conc.-HCl,
conversion of alcohols into aldehydes and ketones; 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 Physics 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
Mechanics: Kinematics in one and two dimensions (Cartesian
coordinates only), projectiles; Circular motion (uniform and
non-uniform); 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
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
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
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 monatomic
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
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 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.
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.
can i knw d portion for iit ant aieee
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