8/12/2019 JEE Sylabus

1/7

JEE SyllabusComplete IIT JEE Syllabus

JEE Mathematics Syllabus

Algebra

Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties ofmodulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formationof quadratic equations with given roots, symmetric functions of roots.

Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums offinite 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, inomial theorem for a positive integral index, properties of binomialcoefficients.

!atrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by ascalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up tothree, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal,symmetric and s"ew#symmetric matrices and their properties, solutions of simultaneous linearequations in two or three variables.

Addition and multiplication rules of probability, conditional probability, independence ofevents, computation of probability of events using permutations and combinations.

Trigonometry

$rigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulaeinvolving multiple and sub#multiple angles, general solution oftrigonometric equations.

%elations between sides and angles of a triangle, sine rule, cosine rule, half#angle formula and thearea of a triangle, inverse trigonometric functions &principal value only'.

Analytical geometry

Two dimensions ( )artesian coordinates, distance between two points, section formulae, shift oforigin.

*quation 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 anglebetween two lines, concurrency of lines, centroid, orthocentre, incentre and circumcentre of a triangle.

8/12/2019 JEE Sylabus

2/7

8/12/2019 JEE Sylabus

3/7

Physical chemistry

eneral topics ( $he concept of atoms and molecules1 +alton s atomic theory1 !ole concept1)hemical formulae1 alanced chemical equations1 )alculations &based on mole concept' involvingcommon oxidation#reduction, neutralisation, and displacement reactions1 )oncentration in terms ofmole fraction, molarity, molality and normality.

aseous and li!uid states ( Absolute scale of temperature, ideal gas equation1 +eviation fromideality, van der 2aals equation1 3inetic theory of gases, average, root mean square and mostprobable velocities and their relation with temperature1 Law of partial pressures1 apour pressure1+iffusion of gases.

Atomic structure and chemical bonding( ohr model, spectrum of hydrogen atom, quantum numbers12ave#particle duality, de roglie hypothesis1 4ncertainty principle1 Quantum mechanical pictureof hydrogen atom &qualitative treatment', shapes of s, p and d orbitals1 *lectronic configurations ofelements &up to atomic number 56'1 Aufbau principle1 Pauli s exclusion principle and -und s rule17rbital overlap and covalent bond1 -ybridisation involving s, p and d orbitals only1 7rbital energydiagrams for homonuclear diatomic species1 -ydrogen bond1 Polarity in molecules, dipole moment&qualitative aspects only'1 8*P% model and shapes of molecules &linear, angular, triangular, squareplanar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral'.

Energetics ( 0irst law of thermodynamics1 /nternal energy, wor" and heat, pressure#volume wor"1*nthalpy, -ess s law1 -eat of reaction, fusion and vapouri9ation1 8econd law of thermodynamics1*ntropy1 0ree energy1 )riterion of spontaneity.

Chemical e!uilibrium ( Law of mass action1 *quilibrium constant, Le )hatelier s principle &effect ofconcentration, temperature and pressure'1 8ignificance of +: and +:o in chemical equilibrium18olubility product, common ion effect, p- and buffer solutions1 Acids and bases & ronsted and Lewisconcepts'1 -ydrolysis of salts.

Electrochemistry ( *lectrochemical cells and cell reactions1 *lectrode potentials1 ;ernst equation andits relation to +:1 *lectrochemical series, emf of galvanic cells1 0araday s laws of electrolysis1*lectrolytic conductance, specific, equivalent and molar conductance, 3ohlrausch s law1 )oncentrationcells.

Chemical "inetics ( %ates of chemical reactions1 7rder of reactions1 %ate constant1 0irst orderreactions1 $emperature dependence of rate constant &Arrhenius equation'.

Solid state ( )lassification of solids, crystalline state, seven crystal systems &cell parameters a, b, c,a, b, g', close pac"ed structure of solids &cubic', pac"ing in fcc, bcc and hcp lattices1 ;earestneighbours, ionic radii, simple ionic compounds, point defects.

Solutions ( %aoult s law1 !olecular weight determination from lowering of vapor pressure, elevation of

boiling point and depression of free9ing point.

Surface chemistry ( *lementary concepts of adsorption &excluding adsorption isotherms'1 )olloids(types, methods of preparation and general properties1 *lementary ideas of emulsions, surfactants andmicelles &only definitions and examples'.

#uclear chemistry ( %adioactivity( isotopes and isobars1 Properties of a, b and g rays1 3inetics ofradioactive decay &decay series excluded', carbon dating1 8tability of nuclei with respect to proton#neutron ratio1 rief discussion on fission and fusion reactions.

8/12/2019 JEE Sylabus

4/7

Inorganic Chemistry

Isolation$preparation and properties of the following non%metals ( oron, silicon, nitrogen,phosphorus, oxygen, sulphur and halogens1 Properties of allotropes of carbon &only diamond andgraphite', phosphorus and sulphur.

Preparation and properties of the following compounds& '(ides) pero(ides) hydro(ides)carbonates) bicarbonates) chlorides and sulphates of sodium) potassium) magnesium andcalcium* +oron ( diborane, boric acid and borax1 Aluminium( alumina, aluminium chloride and alums1)arbon( oxides and oxyacid &carbonic acid'1 8ilicon( silicones, silicates and silicon carbide1 ;itrogen(oxides, oxyacids and ammonia1 Phosphorus( oxides, oxyacids &phosphorus acid, phosphoric acid' andphosphine1 7xygen( o9one and hydrogen peroxide1 8ulphur( hydrogen sulphide, oxides, sulphurousacid, sulphuric acid and sodium thiosulphate1 -alogens( hydrohalic acids, oxides and oxyacids ofchlorine, bleaching powder1

8/12/2019 JEE Sylabus

5/7

Preparation) properties and reactions of al"enes and al"ynes ( Physical properties of al"enesand al"ynes &boiling points, density and dipole moments'1 Acidity of al"ynes1 Acid catalysed hydrationof al"enes and al"ynes &excluding the stereochemistry of addition and elimination'1 %eactions ofal"enes with 3!n7@ and o9one1 %eduction of al"enes and al"ynes1 Preparation of al"enes and al"ynesby elimination reactions1 *lectrophilic addition reactions of al"enes with

8/12/2019 JEE Sylabus

6/7

;ewton s laws of motion1 /nertial and uniformly accelerated frames of reference1 8tatic and dynamicfriction1 3inetic and potential energy1 2or" and power1 )onservation of linear momentum andmechanical energy.

8ystems of particles1 )entre of mass and its motion1 /mpulse1 *lastic and inelastic collisions.

Law of gravitation1 :ravitational potential and field1 Acceleration due to gravity1 !otion of planets andsatellites in circular orbits.

%igid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniformbodies with simple geometrical shapes1 Angular momentum1 $orque1 )onservation of angularmomentum1 +ynamics of rigid bodies with fixed axis of rotation1 %olling without slipping of rings,cylinders and spheres1 *quilibrium of rigid bodies1 )ollision of point masses with rigid bodies.

Linear and angular simple harmonic motions.

-oo"e s law, Coung s modulus.

Pressure in a fluid1 Pascal s law1 uoyancy1 8urface energy and surface tension, capillary rise1iscosity &Poiseuille s equation excluded', 8to"e s law1 $erminal velocity, 8treamline flow, *quation of

continuity, ernoulli s theorem and its applications.

2ave motion &plane waves only', longitudinal and transverse waves, 8uperposition of waves1progressive and stationary waves1 ibration of strings and air columns. %esonance1 eats1 8peed ofsound in gases1 +oppler effect &in sound'.

Thermal physics ( $hermal expansion of solids, liquids and gases1 )alorimetry, latent heat1 -eatconduction in one dimension1 *lementary concepts of convection and radiation1 ;ewton s law ofcooling1 /deal gas laws1 8pecific heats &)v and )p for monatomic and diatomic gases'1 /sothermal andadiabatic processes, bul" modulus of gases1 *quivalence of heat and wor"1 0irst law of

thermodynamics and its applications &only for ideal gases'. lac"body radiation( absorptive andemissive powers1 3irchhoff s law, 2ien s displacement law, 8tefan s law.

Electricity and magnetism ( )oulomb s law1 *lectric field and potential1 *lectrical Potential energy ofa system of point charges and of electrical dipoles in a uniform electrostatic field, *lectric field lines10lux of electric field1 :auss s law and its application in simple cases, such as, to find field due toinfinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thinspherical shell.

)apacitance1 Parallel plate capacitor with and without dielectrics1 )apacitors in series and parallel1*nergy stored in a capacitor.

*lectric current( 7hm s law1 8eries and parallel arrangements of resistances and cells1 3irchhoff s lawsand simple applications1 -eating effect of current.

iot#8avart law and Ampere s law, magnetic field near a current#carrying straight wire, along the axisof a circular coil and inside a long straight solenoid1 0orce on a moving charge and on a current#carrying wire in a uniform magnetic field.

!agnetic moment of a current loop1 *ffect of a uniform magnetic field on a current loop1 !oving coilgalvanometer, voltmeter, ammeter and their conversions.

8/12/2019 JEE Sylabus

7/7

Electromagnetic induction ( 0araday s law, Len9 s law1 8elf and mutual inductance1 %), L% and L)circuits with d.c. and a.c. sources.

'ptics ( %ectilinear propagation of light1 %eflection and refraction at plane and spherical surfaces1$otal internal reflection1 +eviation and dispersion of light by a prism1 $hin lenses1 )ombinations ofmirrors and thin lenses1 !agnification.

3a/e nature of light ( -uygen s principle, interference limited to Coung s double#slit experiment.

2odern physics ( Atomic nucleus1 Alpha, beta and gamma radiations1 Law of radioactive decay1+ecay constant1 -alf#life and mean life1 inding energy and its calculation1 0ission and fusionprocesses1 *nergy calculation in these processes.

Photoelectric effect1 ohr s theory of hydrogen#li"e atoms1 )haracteristic and continuous