JEE syllabus
JEE syllabus Physics
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.
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.
Chemistry JEE syllabus
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, alpha, beta, gamma), close packed structure of
solids (cubic), packing in fcc, bcc and hcp lattices; Nearest
neighbours, ionic radii, 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 alpha, beta and gamma 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 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) JEE syllabus: 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 JEE syllabus: Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.
Extractive
metallurgy JEE syllabus: 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).
Organic Chemistry
Concepts JEE syllabus:
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 JEE syllabus: 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 JEE syllabus: 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;
Mathematics
Algebra JEE syllabus: 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 JEE syllabus: 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 JEE syllabus: 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.
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