Subject Name 
Main Topic 
Description 
Chemistry 
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 oxidationreduction
 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
 Waveparticle 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
 pressurevolume 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 protonneutron ratio
 Brief discussion on fission and fusion reactions.

Inorganic Chemistry 
Isolation/preparation and properties of the following nonmetals
 Boron
 Silicon
 Nitrogen
 Phosphorus
 Oxygen
 sulphur and halogen
 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 bora
 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 spinonly magnetic moment
 Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans 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
 σ and πbonds
 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
 monofunctional and bifunctional compounds); Conformations of ethane and butane (Newman projections)
 Resonance and hyperconjugation; Ketoenoltautomerism; 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
 Structure and aromaticity
 Electrophilic substitution reactions: halogenation, nitration, sulphonation, FriedelCrafts alkylation and acylation
 Effect of o, m and pdirecting groups in monosubstituted benzenes.
Phenols
 Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation)
 ReimerTieman 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 disaccharides (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 monofunctional organic compounds from binary mixtures.

Mathematics 
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 skewsymmetric 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 submultiple angles, general solution of trigonometric equations.
 Relations between sides and angles of a triangle, sine rule, cosine rule, halfangle 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 onetoone 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. 
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 uv 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 currentcarrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a currentcarrying 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 doubleslit experiment.

Modern Physics 
 Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Halflife and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes.
 Photoelectric effect; Bohr’s theory of hydrogenlike atoms; Characteristic and continuous Xrays, Moseley’s law; de Broglie wavelength of matter waves

Aptitude Test 
Freehand drawing 
 This would comprise of simple drawing depicting the total object in its right form and proportion
 Surface texture, relative location and details of its component parts in appropriate scale.
 Common domestic or daytoday life usable objects like furniture, equipment, etc., from memory.

Geometrical Drawing 
 Exercises in geometrical drawing containing lines, angles, triangles, quadrilaterals, polygons, circles, etc.
 Study of plan (top view), elevation (front or side views) of simple solid objects like prisms, cones, cylinders, cubes, splayed surface holders, etc.

Threedimensional perception 
 Understanding and appreciation of threedimensional forms with building elements, colour,
 Volume and orientation. Visualization through structuring objects in memory.

Imagination and aesthetic sensitivity 
 Composition exercise with given elements. Context mapping.
 Creativity check through innovative uncommon test with familiar objects.
 Sense of colour grouping or application.

Architectural awareness 
 General interest and awareness of famous architectural creations – both national and international
 Places and personalities (architects, designers, etc.) in the related domain.

Good