JEE
(Advanced) 2014 will be jointly conducted by IIT Bombay, IIT Delhi, IIT
Guwahati, IIT Kanpur, IIT Kharagpur, IIT Madras and IIT Roorkee. These
institutes are referred to as the zonal IITs. In JEE (Advanced) 2014; there
will be two papers, each of three hours duration the question papers will be
printed separately in English and Hindi.
Candidates have to specify their choice of question paper language at
the time of online registration for JEE (Advanced) 2014. Each of the question
papers will consist of three separate parts in Physics, Chemistry and
Mathematics.
JEE Main
2014 Syllabus gives all the aspirants the topic wise breakup to
study for each of the subjects that will feature in the Joint Entrance
Examination 2014. Students can prepare better with the help of the detailed Syllabus
of JEE Main 2014. Given below is the subject wise and topic wise in depth
syllabus to be learnt for JEE Main 2014.
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.
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 ΔG and ΔG° 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 ΔG; 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, α, β, γ), 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 α, β and γ 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): 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 (X=halogen) and H2O;
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
haloarenes 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.
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.
The
Examination Pattern is given below:
Courses
|
Papers
|
Subject
|
Type of
Question
|
Duration
|
B.E/B.Tech courses, and other UG courses
|
PAPER I
|
Physics,Chemistry, and Mathaematics
|
Objective type questions with equal weightage to
Physics, Chemistry & Mathematics
|
3 Hours
|
B.Arch or B.Planning
|
PAPER II
|
Mathematics –PartI
|
Objective type questions
|
3 Hours
|
Mathematics –PartII
|
Objective type questions
|
Drawing Test Part-III
|
Questions to test Drawing Aptitude
|
Paper
1(B.E/B.Tech courses), it is in both off and online modes.
Paper 2(B.Arch/B.Planning), it is in offline mode only.
NOTE: There will be Negative Marking one
fourth (1/4) of the total marks ,for each wrong answer and no negative marking
for unanswered Questions
And
the schedule is mentioned below:
For Syllabus please go through
the following link: http://jeeadv.iitd.ac.in/ or
www.sistec.ac.in