What is JEE Advanced?
JEE Advanced is conducted every year by one of the seven Indian Institutes of Technology (IITs) namely IIT Kharagpur, IIT kanpur IIT Madras, IIT Delhi, IIt bombay Indian Institute of Science (IISc) Bangalore under the aegis of the Joint Admission Board (JAB). Admissions to Bachelor’s, Integrated Master’s and Dual Degree programmes (entry at the 10+2 level) in all the 23 IITs, including the Indian School of Mines (ISM) are done based on ranks obtained by candidates in JEE Advanced.
Through JEE Advanced, candidates can secure admissions to the following courses:
4-year Bachelors - BTech, BS
5-year BArch
5-
Total duration of each paper of JEE (Advanced) 2019 examination is of 3
hours (180 minutes) duration.
EXAMINATIONS CONSIDERED AS EQUIVALENT TO CLASS XII
• The final examination of the 10+2 system, conducted by a Central or State Board
recognized by the Association of Indian Universities (AIU).
• Intermediate or two-year Pre-University examination conducted by a Board or
University recognized by the Association of Indian Universities.
• Final examination of the two-year course of the Joint Services Wing of the
National Defence Academy.
• Senior Secondary School Examination conducted by the National Institute of
Open Schooling with a minimum of five subjects.
• Any Public School, Board or University examination in India or in a foreign
country recognized as equivalent to the 10+2 system by the AIU.
• H.S.C. vocational examination.
• A Diploma recognized by the All India Council for Technical Education (AICTE)
or a State Board of Technical Education of at least 3 years duration.
• General Certificate Education (GCE) examination (London, Cambridge or Sri
Lanka) at the Advanced (A) level.
• High School Certificate Examination of the Cambridge University or
International Baccalaureate Diploma of the International Baccalaureate Office,
Geneva.
Candidates who have completed Class XII (or equivalent) examination outside India
or from a Board not specified above should produce a certificate from the AIU to the
effect that the examination they have passed is equivalent to the Class XII
examination.
In case the Class XII examination is not a public examination, the candidate must
have passed at least one public (Board or Pre-U,
PERFORMANCE IN CLASS XII (OR EQUIVALENT) BOARD EXAMINATION
• The candidates should satisfy at least one of the following two criteria for
admission to IITs:
(1) Must have secured at least 75% aggregate marks in the Class XII (or
equivalent) Board examination. The aggregate marks for SC, ST and PwD
candidates should be at least 65%.
(2) Must be within the category-wise top 20 percentile of successful candidates in
their respective Class XII (or equivalent) board examination.
The percentile calculation will be done for the required subjects in a single
academic year only. Therefore, candidates appearing for improvement in Board
examinations can EITHER appear in one or more subjects and secure 75%
aggregate marks (65% for SC, ST and PwD) after improvement, OR, appear for
improvement in ALL subjects to be in top 20 percentile (see section titled
“Regarding the cut-off marks for the top 20 percentile”) of the corresponding
academic year.
• The marks scored in the following five subjects will be considered for calculating
the aggregate marks and the cut-off marks for fulfilling the top 20 percentile
criterion.
i. Physics
ii. Chemistry
iii. Mathematics
iv. A language (if the candidate has taken more than one language, then the
language with the higher marks will be considered)
v. Any subject other than the above four (the subject with the highest marks will,,
In case any of the subjects Physics, Chemistry, Mathematics and Language are
not evaluated in the final year (e.g., in a 3-year diploma course), then the marks
for the same subject from the previous year/s will be used for calculating
percentage of aggregate marks.
• For candidates who appeared in the Class XII (or equivalent) Board examination
for the first time in 2018 and reappeared in ALL subjects (for whatsoever reason)
in 2019, the best of the two performances will be considered.
• If a Board gives aggregate marks considering both Class XI and Class XII
examinations (in the 10+2 system), then only Class XII marks will be considered.
If a Board gives aggregate marks considering the results of all three years of a 3-
year diploma or courses of equivalent duration, then only the marks scored in the
final year will be considered. Similarly, for Boards which follow a semester
system, the marks scored in the final two semesters will be considered.
• If a Board does not give marks scored in individual subjects but gives only the
aggregate marks, then the aggregate marks given by the Board will be considered,,
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 octahedra,,
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 ΔG0
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
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
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
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).
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
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.
Probability
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.
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.
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.
Modern physics
Atomic nucleus; α, β and γ 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.
1 . AerospaceEngineering
2
Agriculture & Food
Engineering
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Biological Sciences and
Bioengineering
4 Biotechnology
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Biotechnology & Biochemical
Engineering
6 Ceramic Engineering
7 ChemicalEngineering
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Chemical Science and
Technology
9 Civil Engineering
10 Computer Science &
Engineering
11 ElectricalEngineering
12 Electrical Engineering (Power
& Automation)
13 Electronics & Communication
Engineering
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Communication Engineering
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Engineering
16 Electronics & Instrumentation
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18 Engineering Physics
19 Engineering Science
20 EnvironmentalEngineering
21 Industrial Engineering
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23 Manufacturing Science and
Engineering
24 Materials Science and
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25 Materials Science and
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26 Mathematics and Computing
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| Jee advance |
JEE Advanced is conducted every year by one of the seven Indian Institutes of Technology (IITs) namely IIT Kharagpur, IIT kanpur IIT Madras, IIT Delhi, IIt bombay Indian Institute of Science (IISc) Bangalore under the aegis of the Joint Admission Board (JAB). Admissions to Bachelor’s, Integrated Master’s and Dual Degree programmes (entry at the 10+2 level) in all the 23 IITs, including the Indian School of Mines (ISM) are done based on ranks obtained by candidates in JEE Advanced.
Through JEE Advanced, candidates can secure admissions to the following courses:
4-year Bachelors - BTech, BS
5-year BArch
5-
Total duration of each paper of JEE (Advanced) 2019 examination is of 3
hours (180 minutes) duration.
EXAMINATIONS CONSIDERED AS EQUIVALENT TO CLASS XII
• The final examination of the 10+2 system, conducted by a Central or State Board
recognized by the Association of Indian Universities (AIU).
• Intermediate or two-year Pre-University examination conducted by a Board or
University recognized by the Association of Indian Universities.
• Final examination of the two-year course of the Joint Services Wing of the
National Defence Academy.
• Senior Secondary School Examination conducted by the National Institute of
Open Schooling with a minimum of five subjects.
• Any Public School, Board or University examination in India or in a foreign
country recognized as equivalent to the 10+2 system by the AIU.
• H.S.C. vocational examination.
• A Diploma recognized by the All India Council for Technical Education (AICTE)
or a State Board of Technical Education of at least 3 years duration.
• General Certificate Education (GCE) examination (London, Cambridge or Sri
Lanka) at the Advanced (A) level.
• High School Certificate Examination of the Cambridge University or
International Baccalaureate Diploma of the International Baccalaureate Office,
Geneva.
Candidates who have completed Class XII (or equivalent) examination outside India
or from a Board not specified above should produce a certificate from the AIU to the
effect that the examination they have passed is equivalent to the Class XII
examination.
In case the Class XII examination is not a public examination, the candidate must
have passed at least one public (Board or Pre-U,
PERFORMANCE IN CLASS XII (OR EQUIVALENT) BOARD EXAMINATION
• The candidates should satisfy at least one of the following two criteria for
admission to IITs:
(1) Must have secured at least 75% aggregate marks in the Class XII (or
equivalent) Board examination. The aggregate marks for SC, ST and PwD
candidates should be at least 65%.
(2) Must be within the category-wise top 20 percentile of successful candidates in
their respective Class XII (or equivalent) board examination.
The percentile calculation will be done for the required subjects in a single
academic year only. Therefore, candidates appearing for improvement in Board
examinations can EITHER appear in one or more subjects and secure 75%
aggregate marks (65% for SC, ST and PwD) after improvement, OR, appear for
improvement in ALL subjects to be in top 20 percentile (see section titled
“Regarding the cut-off marks for the top 20 percentile”) of the corresponding
academic year.
• The marks scored in the following five subjects will be considered for calculating
the aggregate marks and the cut-off marks for fulfilling the top 20 percentile
criterion.
i. Physics
ii. Chemistry
iii. Mathematics
iv. A language (if the candidate has taken more than one language, then the
language with the higher marks will be considered)
v. Any subject other than the above four (the subject with the highest marks will,,
In case any of the subjects Physics, Chemistry, Mathematics and Language are
not evaluated in the final year (e.g., in a 3-year diploma course), then the marks
for the same subject from the previous year/s will be used for calculating
percentage of aggregate marks.
• For candidates who appeared in the Class XII (or equivalent) Board examination
for the first time in 2018 and reappeared in ALL subjects (for whatsoever reason)
in 2019, the best of the two performances will be considered.
• If a Board gives aggregate marks considering both Class XI and Class XII
examinations (in the 10+2 system), then only Class XII marks will be considered.
If a Board gives aggregate marks considering the results of all three years of a 3-
year diploma or courses of equivalent duration, then only the marks scored in the
final year will be considered. Similarly, for Boards which follow a semester
system, the marks scored in the final two semesters will be considered.
• If a Board does not give marks scored in individual subjects but gives only the
aggregate marks, then the aggregate marks given by the Board will be considered,,
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 octahedra,,
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 ΔG0
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
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
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
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).
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
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.
Probability
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.
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.
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.
Modern physics
Atomic nucleus; α, β and γ 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.
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