IIT JEE Syllabus:-
IIT JEE Chemistry 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 DG and DGo 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 DG;
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,chemistry clip image002 IIT JEE 2011
Syllabus), 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 chemistry clip image004 IIT JEE 2011 Syllabusrays;
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 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 haloa
renes 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.
IIT JEE Mathematics 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.
IIT 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 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.
IIT JEE Aptitute 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.
Candidates are advised to bring geometry box sets, pencils, erasers and colour pencils or crayons for the Aptitude Test.
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