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CBSE Guess > Indian Education > Entrance Exams > Joint Entrance Examination (JEE)

Joint Entrance Examination (JEE)

JEE (Joint Entrance Examination) is the admission test conducted by IITs (Indian Institutes of Technology), are the most prestigious Engineering institutions in India. They were established with the sole purpose of providing international standards of excellence in Engineering education. Apart from IIT, Institute of Technology- Banaras Hindu University, Varanasi also consider JEE for their admission process. The admissions to the Undergraduate Programmes for all Indian and Foreign nationals at these institutions are made through the Joint Entrance Examination (JEE). M.Sc Integrated courses in pure and applied sciences and M.Tech Integrated courses in a few disciplines are also offered by some of the IIT Institutes. In addition, some IITs offer Dual Degree M.Tech. programmes wherein both B.Tech. and M.Tech. degrees are awarded at the end of the programme. For admission to 5 1/2 years integrated M.Tech. course in Biotechnology, candidate must have had biology/life science in addition to Physics, Chemistry and Mathematics.

The JEE consists of (a) preliminary examination (screening test) and (b) main examination. Preliminary examination consist of an objective type paper of 3 hours duration in Physics, Chemistry and Mathematics. Only those candidates, who qualify the screening test are eligible to appear in the main examination. The main examination has papers in physics, chemistry and mathematics of 2 hours duration each. These institutions offer courses leading to Bachelor's degree in a number of engineering, technological and scientific disciplines.

The Indian Institute Of Technologies are:

Eligibility

The minimum academic qualification for admission through JEE is a pass grade in the final examination of 10+2 system or its equivalent, referred to as the Qualifying Examination such as :

  • The final examination of the 10+2 system, conducted by any recognized Central/State Board, such as Central Board of Secondary Education, New Delhi; Council for Indian School Certificate Examination, New Delhi; etc.
  • Intermediate or two-year Pre-University Examination conducted by a recognized Board/ University.
  • Final Examination of the two-year course of the Joint Services Wing of the National Defence Academy.
  • General Certificate Education (GCE) Examination (London/Cambridge/Sri Lanka) at the Advanced (A) level.
  • High School Certificate Examination of the Cambridge University.
  • Any Public School/Board/University Examination in India or in foreign countries recognized by the Association of Indian Universities as equivalent to 10+2 system.
  • H.S.C. Vocational Examination.
  • Senior Secondary School Examination conducted by the National Open School with a minimum of five subjects.
  • 3 or 4-year Diploma recognized by AICTE or a State Board of Technical Education.

Between 16-21 years of age on the first day of the October of the year of examination can attempt JEE. Those appearing in 10+2 final or equivalent examination in 2005 may also appear in JEE-2005 for consideration of provisional admission. Candidates can opt for Question Papers either in English or in Hindi But for the Main Examination, candidate can choose any of these languages Assamese, Bengali, English, Gujarati, Hindi, Tamil and Telugu. Calculators and log table is not permitted during JEE examination.

Application

Contact Address: Applications forms are available by post, from Chairman, JEE, IIT Madras, Chennai 600036. Send a draft of Rs.600/- (For SC/ST candidates Rs.300/-) payable at Chennai, in favour of the Chairman along with two self addressed slips in the above address.

Screening Test : One Question Paper (Objective Type) of 3 hour duration in Physics, Chemistry and Mathematics

Main Examination : Three Question Papers of 2 hour duration each in Physics, Chemistry and Mathematics

Details will be published in leading National Dailies and Employment News/Rozgar Samachar.

Syllabus

Mathematics | Physics | Chemistry

Mathematics

Algebra : Algebra of complex numbers, modulus and argument, triangle inequality, nth roots of unity.

Theory of quadratic equations and quadratic expressions, relationship between the roots and coefficients, sign of a quadratic expression, greatest and least values of a quadratic expression.

Arithmetic, geometric and harmonic progressions, sums of arithmetic, geometric and harmonic progressions, Infinite geometric series, sums of the squares and cubes of the first n natural numbers.

Mathematical induction

Permutations and combinations, Binomial theorem for a positive integral index.

Determinants of order two and three, solutions of simultaneous linear equations in two and three variables.

Trigonometry : Trigonometric functions and their graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations, relations between the sides and angles of a triangle, properties of a triangle, solutions of a triangles, heights and distances, trigonometric functions.

Analytical geometry of two dimensions : 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, concurrency of lines.

Equation of a circle in various forms, equations of tangent and normal, intersection of a circle with a straight line, equation of a circle through the points of intersection of two circles and that of a circle and a straight line.

Equations of the conic sections in the standard form, focus, directrix, eccentricity of the conic sections, parametric equations, equations of tangent and normal.,

Calculus : Into, onto and one-to-one functions, Sum, difference, product and quotient of two functions, composite function, absolute value, greatest integer, polynomial, rational, trigonometric, exponential and logarithmic functions, even and odd functions, inverse of a function.

Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, continuity of composite function, Derivative of a function, derivative of the sum, difference, product and quotient of two functions, derivative of composite and implicit functions, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Geometrical interpretation of derivative, tangents and normals, monotonicity, maximum and minimum values of a function.

Derivatives up to order three.

Integration: As the inverse process of differentiation, integration by parts, integration by the methods of substitution and partial fractions.

Definite integral and its applications for the determination of areas, Properties of definite integrals.

Differential equations : Formation of differential equations, First order equation, variable separable method and homogeneous equations.

Vectors : Addition of vectors, scalar product, cross product, scalar and vector products.

Applications in geometry

Physics

Units and dimensions : Displacement, velocity and acceleration, Kinematics in one and two dimensions, Projectiles, Circular motion, relative motion.

Newton's laws of motion : Inertial and uniformly accelerated frames of reference; Force; Spring force; frictional force and gravitational force. Static and dynamic frictions; Kinetic and potential energy; Work and Power; Linear Momentum; Conservation of linear momentum and energy; Linear and angular simple harmonic motions.

Law of gravitation : Gravitational potential and field, Acceleration due to gravity; Motion of planets and satellites in circular orbits; Kepler's laws.

Systems of particles : Centre of mass and its motion; Elastic and inelastic collisions; Rigid bodies; Moment of inertia; Parallel and perpendicular axes theorems; Moment of inertia of bodies having simple geometrical shapes, e.g. , uniform ring, disc, thin rod and cylinder; Angular momentum; Torque; equilibrium of rigid bodies; Conservation of angular momentum.

Hooke's law, Young's modulus, shear and bulk moduli.

Buoyancy : Pressure in a fluid, stream line flow, Bernoulli's theorem.

Wave motion : Concepts of amplitude, frequency and phase; Longitudinal and transverse waves; Superposition of waves; Progressive and stationary waves; Vibration of strings and air columns; Resonance; Beats; Speed of sound; echo; Doppler effect (in sound).

Thermal expansion of solids, liquids and gases : Elements of the Kinetic theory of gases, absolute temperature, Ideal gas laws, Pressure and temperature of an ideal gas, Specific heats and their ratio, Isothermal and adiabatic processes, First law of thermodynamics, Calorimetry, Latent heat, Equivalence of heat and work.

Heat conduction in one dimension : Elementary concepts of convection and radiation, Stefan's law of radiation, Wien's displacement law, Newton's law of cooling, Black body radiation, absorptive and emissive powers, Kirchhoff's law.

Coulomb's law : Electric field and potential, lines of force.

Capacitance : Dielectric constant, Parallel plate capacitor, 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 applications to networks, Charging and discharging of capacitor, Heating effect of current.

Ampere's law and Biot-Savart law : Force on a moving charge and on a current -carrying wire in a magnetic field.

Magnetic moment of a current loop : Effect of a uniform magnetic field on a current loop, Moving coil galvanometer, voltmeter and ammeter.

Electromagnetic induction : Faraday's law, Lenz's law, Self and mutual inductance, Growth and decay of current in an LR circuit, LC oscillation.

Rectilinear propagation of light : Reflection and refraction at plane and curved surfaces, Total internal reflection, Deviation and dispersion of light by a prism, Thin lenses, Combinations of mirrors and thin lenses, spherical aberration, Magnification, Microscope and telescope.

Wave nature of Light : Interference, Young's double slit experiment, Fringe width.

Elementary concepts of diffraction by a single slit.

Alpha, beta and gamma radiations: law of radioactive decay, Decay constant, Half-life and mean life, Photoelectric effect, DeBroglie wavelength, Bohr's theory of hydrogen like atoms, Characteristic and continuous X- rays.

Properties of X-rays. Atomic nucleus, binding energy and its calculation, Fission and fusion processes, energy calculations in these processes.

Elementary concepts of metals, insulators and semiconductors, Intrinsic and extrinsic semi conductors p-n junction as a rectifier; transistors: quantitative application as amplifier (in common emitter mode} and oscillator.

Chemistry

The concept of atoms and molecules : laws of chemical combination, Mole concept, Chemical Formulae, Balanced Chemical equations, Concentration in terms of mole fraction, Molarity, molality and normality.

Calculations involving common oxidation-reduction, neutralisation, and displacement reactions.

Gaseous, liquid and solid states : Absolute scale of temperature, Ideal gas equation, Deviation from ideality (compression factor, Z}; Van Der Waal's equation; diffusion of gases, Kinetic theory of gases, Average, Root mean square and most probable velocities and their relation with temperature, law of partial pressure, Vapour pressure, surface tension and viscosity, Classification of solids, crystalline state, seven crystal systems (only cell parameters a, b, c, a, b, and g close packed structure of solids-only cubic}.

Packing fcc, bcc, hcp, nearest neighbours, simple ionic compounds, point defects.

Atomic structure : Rutherford model, Spectrum of hydrogen atom, Bohr model, de-Broglie relations, uncertainty principle, Quantum numbers, Electronic configuration of elements (upto atomic number 36), Aufbau Principle, Pauli's exclusion principle and Hund's rule, shapes of s, p, and d orbitals.

Periodicity of properties of elements : Classification of elements in s, p and d block, Periodicity in properties with respect to atomic and ionic radii, Ionisation energy , Electron affinity, Electronegativity , Oxidation state, Metallic and non-metallic character and trends in reactivity .

Bonding and molecular structure : Lewis structures, Orbital overlap and covalent bond, Hybridisation involving s, p and d orbitals only, Co- ordinate covalent bond, Ionic bond, Hydrogen bond: Orbital energy diagrams for diatomic species, polarity in molecules, dipole moment (qualitative aspects only), VSEPR model, Molecular shape, linear, Angular, Planar, pyramidal, Tetrahedral, and Octahedral, Square planar.

Energetics: First law of thermodynamics, Second law of thermodynamics, Internal energy, Enthalpy, Hess's law, Heat of reaction, fusion and vaporisation.

Chemical equilibrium : Chemical Equilibria, law of mass action, Reaction quotient, Equilibrium constant, Relation between kp and Kq, Le- chatelier's principle and its applications, Dependence on concentration, Temperature and pressure, Solubility product, Common ion effect.

Significance of DGo and DGo in chemical equilibrium, common ion effect, pH and buffer solutions, acids and bases (Bronsted and Lewis), hydrolysis of salts.

Electrochemistry : Faraday's laws of electrolysis, Electrochemical cells and cell reactions, Standard electrode potential and electrochemical series, E.M.F. of a galvanic cell.

Nernst equation and DG.

Solutions : Raoult's law, molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.

Chemical kinetics : Rates of chemical reactions, Order of reaction, Rate constant, Effect of concentration and temperature.

Kinetics of first order reactions, Arrhenius equation.

Surface Chemistry : Elementary concepts in adsorption (excluding adsorption isotherms), colloids, emulsions, surfactants and micelles (definitions and examples only).

Nuclear chemistry : Radioactivity, properties of a, b and g rays, kinetics of radioactive decay (decay series excluded), stability of nuclei with respect to proton-neutron ratio.

Isolation/preparation and properties of the non-metals : Nitrogen, phosphorus, oxygen, sulphur, fluorine, chlorine, bromine and iodine. Properties of allotropes of carbon (graphite and diamond only); preparation and properties of ozone.

Preparation and properties of the following compounds : Oxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium, alumina, aluminium chloride and alums, hydrogen peroxide, carbon, oxides and carbides, nitrogen, oxides, oxyacids and ammonia, phosphorus: oxides and oxyacids (meta- and orthophosphoric acids), Boron, diborane, boric acid and borax, Silicon, silicones, silicon carbides, silicates, Sulphur, oxides, sulphurous and sulphuric acids, sodium thiosulphate and hydrogen sulphide, Halogens, hydrohalic acids, oxyacids of chlorine, bleaching powder.

Fertilizers : commercially available (common) NPK type; Tin and lead, Oxides and chlorides, Preparation and properties of XeF2 , XeF4 and XeF6 . Tansition elements (only the first row, 3d series): Definition, Werners approach to coordination compounds, general characteristic properties (viz. , variable oxidation states , colour (excluding the details of electronic transition)] , calculation of spin-only magnetic moment, formation of complexes (stereochemistry excluded) , nomenclature of simple coordination compounds , valence bond approach to define geometries of coordination compounds of linear, tetrahedral, octahedral and square planar geometries.

Preparation and properties of the following compounds : Ferrous sulphate, ferric chloride, Potassium Permanganate, Potassium dichromate, Mohr's salt, ferric oxide, copper sulphate, oxide and sulphate of zinc, Silver oxide, silver nitrate, silver bromide, silver thiosulphate.

Principles of qualitative analysis : Group I to V excluding interfering radicals.

Ores and minerals : Commonly occurring ores of iron, copper, lead, magnesium and aluminium, tin and silver.

Extractive metallurgy (Chemical principles and reactions only, industrial details excluded) : Carbon reduction method (iron, tin ), Self reduction method (copper and lead), Electrolytic reduction method (magnesium and aluminium) .

Cyanide process (silver, gold).

Concepts of hybridisation of Carbon : Sigma and pi-bonds; Resonance.

Homologous series. Structural and geometrical isomerism, Optical isomerism of compounds containing one asymmetric centres only. Ketoenol tautomerism IUPAC nomenclature of simple organic compounds (hydrocarbons and mono functional compounds for Screening Test only).

Bifunctional compounds. Determination of empirical and molecular formula of simple compounds (combustion method).

Inductive and resonance effects on acidity and basicity of acids and bases respectively.

Hydrogen bonds and their effects on physical properties of alcohols and carboxylic acids.

Polarity and inductive effects in alkyl halides : Reactive intermediates produced during homolytic and heterolytic bond cleavage, Formation, structure stability and reactivity of Alkyl carbocations and free radicals.

Physical properties of alkanes (mp, bp and density) : Combustion and halogenation of alkanes. Preparation of alkanes by Wurtz coupling and decarboxylation reaction.

Conformation of ethane.

Structure and physical properties of alkenes and alkynes (bp, density, dipole moment) : Acidity of alkynes; Preparation of alkenes and alkynes by elimination reaction. Electrophilic addition reaction of alkenes with Br2, HBr, HOCl, and add catalyzed hydration (Stereochemistry of addition and elimination excluded), Reactions of alkene with KMnO4 and Ozone, Reactions of alkynes, Metal acetylides, reduction and hydration

Benzene : Structure and aromaticity, Electrophilic substitution reactions, bromination, nitration, sulfonation (orientation excluded for Screening test only), Phenols, acidity, electrophilic reaction (halogenation, nitration and sulphonation).

Friedel Crafts alkylation and acylation. Effect of 0, m, p directing groups in mono substituted benzenes.

Characteristic reactions of the following : Alcohol (esterification, dehydration and oxidation), Reaction of alcohols with sodium, phosphorus halides, ZnCl2/Conc.HCl.Alkyl halides (nucleophilic substitution reactions), rearrangement of alkyl carbocations), Aldehydes and ketones (oxidation, reduction, oxime and hydrazone formation, Aldol condensation, Perkin reaction, Canizzaro reaction, haloform and Grignard reaction only), Carboxylic acids (formation of esters, acid chlorides and amides).

Phenol : Acidity of phenols, halogenation, nitration, sulfonation and Riemer-tiemann reaction. Amines: Basicity of aniline and aliphatic amine, Preparation from nitro compounds, reaction with nitrous acid, formation and reactions of diazonium salts, and its coupling with, phenols, carbylamine reaction. Nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).

Carbohydrates : Classification -mono, di and polysaccharides (glucose, sucrose and starch only), hydrolysis of sucrose.