The Syllabi given hereunder for JEE-2006 are only illustrative and not exhaustive. The syllabi are in line with courses of studies in Science stream for the Higher Secondary Examination 2006 of CHSE, Orissa. Since JEE is conducted with a view to preparing merit lists for admission the decision of the JEE Committee as regards the scope of the syllabus is FINAL.

Concept of Mass, Length and Time, SI Units. Conversion of MKS system of units to SI units. Dimension and Dimensional equations of mechanical quantities, Vector addition, Subtraction, scalar and Vector products. Lami’s Theorem. Equations of linear motion for uniformly accelerated bodies (by calculus method). Newton’s laws of motion, conservation of energy and momentum, collision, work, energy, power, sliding and rolling friction. Motion in circular orbits, centripetal force. Banking of tracks, Kepler’s laws (Statements only). Newton’s laws of gravitation. Earth satellites-orbital and escape velocities. Moment of inertia-definition and expression for rod, ring and circular disc. Angular momentum and conservation of angular momentum, Projectile motion. Kinetic theory of gases and Thermodynamics: Basic assumptions, derivation of expressions for pressure, law of equipartition of energy, mean energy, gas equation, specific heats of gases, relation between Cp and Cv.

Concept of temperature. Definition of “J”. First law of thermodynamics, reversible, isothermal and adiabatic processes. Carnot cycle/Carnot engine. Second law of thermodynamics, absolute scale of temperature, law of radiation. Newton’s law of cooling. Thermal energy, specific heat, latent heat, thermal conductivity and its determination by Searle’s method. Characteristics of Materials: Elastic and plastic behaviors of solids, elastic limit Young’s modulus, Shear and Bulk modulus, Poissions ratio.

Intermolecular force, cohesion, adhesion, surface and surface energy, determination of surface tension by capillary rise method.

Streamlined and turbulent flow. Atmospheric Pressure, Buoyancy and Archimedes Principle of Flotation. Bernoulli’s equation and its application. Viscosity- coefficient of viscosity, Stokes law. Electricity: Electric field and potential at a point and capacitor, Kirchhoff’s laws and their application, wheatstone bridge. Joule’s law of heat. Faraday’s law of electrolysis. Biot–Savert’s law, Field due to circular coil at its centre. Moving coil galvanometer (dead beat only). Force on a moving charge in magnetic fields. Lenz’s law. Faraday’s laws of electromagnetic induction rotating coil in a magnetic field. Alternating current, self and mutual induction, phase relation between voltage and current in a pure resistance, inductance and capacitance, dynamo, motor, transformer, elementary idea on electromagnetic waves. Capacitance, dielectric constant and its effect on capacitance. Permeability susceptibility, diamagnetic, paramagnetic and ferromagnetic substance.

Simple harmonic motion, wave propagation, characteristics of wave motion, longitudinal and transverse waves, superposition of waves, stationary waves. Beats, open and closed organ pipes, velocity of sound in air-effect of pressure, temperature and humidity on it. Doppler effect, laws of transverse vibration of string (Statement only).

Reflection and refraction at curved surfaces. Spherical mirror and thin lens formula and refraction through prism. Total internal reflection, Dispersion. Huygen’s principle, reflection and refraction by plane surface, Young’s double slit experiment.

Energy and band (descriptive idea only), metals, insulator and semi conductors, intrinsic P-type and N- type semiconductors. Thermionic emission, vacuum triode construction and characteristics, PN junction, PNP and NPN transistor, PN Junction as a rectifier, vacuum triode and transistor as amplifiers.

Postulates of special theory of relativity, variation of mass (Statement only), mass energy relation (Statement only). Atomic nucleus, nuclear forces, nuclear mass, binding energy, mass defect, artificial radio activity, radio isotopes and their uses. Nuclear fission, energy released, chain reaction, controlled chain reaction, fusion, energy generation in the sun, radiation hazards.

Characteristics, Solubility, Melting points, Crystal structure of simple ionic compounds. Liquid state: Characteristics, Boiling and Freezing points, Viscosity, Surface tension, Osmosis, Raoult’s law,Lowering of vapour pressure, Depression of freezing points, Elevation of boiling points.

Gas laws, Kinetic model of gases, ideal gas equation, Vanderwaal’s equation, Average root meansquare and most probable velocities.

Symbols, Valency, Atomic mass, Molecular weight, Avogadro’s hypothesis, Mole concept, Determination of equivalent weight of zinc and copper, Atomic mass by Dulong Petit’s method and Molecularmass by Victor Mayor’s method.

Fundamentals particles and their properties, Rutherford and Bohr models of atom, Atomic structure, Energy levels, Shell and Sub-shells, s,p and d orbitals, Quantum numbers,Pauli’s exclusion principle, Aufbau-principle, Hund’s rule, Electronic configuration of atoms.

Ionic, Covalent, Coordinate and Hydrogen bond, Hybridisation- SP3, SP2, and SP.

Periodic table and periodic laws,s,p, d and f block elements, Periodicity in properties such as atomic and ionic radii, Dalton’s atomic theory, Laws of chemical combination, lonisation energy, Electro negativityand Oxidation state.

Internal energy, Enthalpy, Heat of reaction, Bond energy, Hess’s law, Idea on enthalpy and free energy.

Reversible reaction, Laws of mass action, Equilibrium constant Kp, Kc and their relation. Its application to ammonia synthesis and dissociation of HI, Decomposition and thermal dissociation, Solubility product, Common ion effect, Ionic product of water, pH Hydrolysis of salt, Buffer solution.

Rate of reaction, Factors affecting the rate, Rate constant, Order and Molecularity of a reaction, Simple zero and First order reaction, Half life period, Arrehnious equation and Activation Energy.

Neutralisation and oxidation – Reduction reaction, Equivalent weight, Normality, Molarity and Molality, Oxidation number, Balancing chemical reactions, Ion electron reactions involving KMnO4, K2Cr2O7, Na2S2O3, oxalate etc.

Group study, Preparation, Properties and uses of elements of compounds of hydrogen (ortho and para hydrogen, isotopes of hydrogen, D2O and H2O2). Allotropes of carbon, Silicones, Silicon carbide, Nitrogen family (NH3 and HNO3). Oxygen and sulphur family (O2, H2S, SO2, H2SO4, contact process), Halogens, Hydrogen halides and Interhalogen compounds.

Electrolysis, Electrical Conductivity, Faraday’s laws, Kohlaurash law, Galvanic cell, Cell reaction, Nernst equation, Standard electrode potential, Electro chemical series e.m.f. of simple cells. Nuclear chemistry: Radio activity, Group displacement law, Half-life period, Carbon dating, Nuclear Fission and Fusion.

Radio activity, Group displacement law, Half-life period, Carbon dating, Nuclear Fission and Fusion.

Occurrence of metal, Metallurgy ores, flux, slag calcinations, roasting, smelting (by reduction of oxides) and refining. General trends in the characteristics, principles of extraction of Na, Mg, Ca, Al,Cu and Fe and their oxides, hydroxides, chlorides, nitrates, and sulphates.

Introduction, Functional Groups, Nomenclature, Isomerism, Polymerisation, sp3, sp2, sp hybridization, Preparation and properties of simple alkanes, alkenes, alkynes and monohalogen derivaties.Preparation and properties of alipathic nitro paraffins, types of alipathic amines, Preparation and properties of simple primary amines.General methods of preparation, properties and uses of alcohols, aldehydes, ketones, carboxylic acids, esters,acid, chlorides and amides.

Introduction, Functional Groups, Nomenclature, Isomerism, Polymerisation, sp3, sp2, sp hybridization, Preparation and properties of simple alkanes, alkenes, alkynes and monohalogen derivaties.Preparation and properties of alipathic nitro paraffins, types of alipathic amines, Preparation and properties of simple primary amines. General methods of preparation, properties and uses of alcohols, aldehydes, ketones, carboxylic acids, esters,acid, chlorides and amides.

Biological importance of organic compounds such as carbohydrates, amino acids, proteins, lipids and nucleic acids (only by metabolic process).

General idea on fertilizers, pesticides, polymers (nylon, Terylene, neoprene, bunas pvc, Teflon bakelite) and medicine-analgesic, antipyretic, antibiotic and antiseptic (structure and preparation not required ).

Statement, Negation, Implication, Converse, Contra- posititves, Conjuction, Disjunction, Truth Table.

Set operation, Union, Intersection, Difference, Symmetric difference, Complement, Venn diagram, Cartesian product of sets, Relation and functions, Composite function, Inverse of a function, Equivalence relation, Kinds of function.

Real numbers (algebraic and order properties, rational and irrational numbers), Complex numbers, Algebra of complex numbers, Conjugate and square root of a complex number, Cube roots of unity, De Moivre’s theorem with simple application. Permutations and combinations-simple applications, Mathematical induction, Binomial theorem. Determinants of third order, Minors and cofactors, Properties of determinants, Matrices upto third order, Types of matrices, algebra of matrix, adjoint and inverse of matrix, Application of determinants and matrices to the solution of linear equations ( in three unknowns).

Determinants of third order, Minors and cofactors, Properties of determinants, Matrices upto third order, Types of matrices, algebra of matrix, adjoint and inverse of matrix, Application of determinants and matrices to the solution of linear equations ( in three unknowns).

Compound angles, Multiple and Sub multiple angles, Solution of trigonometric equations, Proeperties of triangles, Inverse circular function, Sum and product of sine and cosine functions. Co-ordinate geometry of two dimensions : Straight lines, Pairs of straight lines, Circles, Equations of tangents and normals to a circle, Equations of parabola, Ellipse and hyperbola in simple forms and their tangents (focus, directrix, eccentricity and latus rectum in all cases).

Distance and Division formulae, Direction cosines and direction ratios, Projection, Angle between two planes, Angle between a line and a plane. Distance of a point from a line and aplane. Equation of a sphere – general equation). Vectors: Fundamentals, Dot and cross product of two vectors, Scalar triple product, Simple applications (to geometry, work and moment).

Fundamentals, Dot and cross product of two vectors, Scalar triple product, Simple applications (to geometry, work and moment).

Concept of limit, Continuity and derivative of standard functions, Successive differentiation (simple cases), Leibnitz theorem, Partial differentiation (simple cases), Derivative as a rate measure, Maxima and Minima, Indeterminate forms, Geometrical application such as tangent and normals to plane curves.

Standard methods of integration (substitution, by parts, by partial fraction, etc), Definite integrals and properties of definite integrals. Areas under plane curves. Differential equations (only simple cases)

Average (mean, median and mode). Dispersion (standard deviation and variance), Definition of probability, Mutually exclusive events, Independent events, Addition theorem.

Computer arithmetic, decimal, binary, octal, hexadecimal and their conversion and operation, Simple programmes in BASIC.