**For Paper 1:**

1. Chemistry

**SECTION: A**

**PHYSICAL CHEMISTRY**

**UNIT 1: SOME BASIC CONCEPTS IN CHEMISTRY**

Matter and its nature, Dalton's atomic theory: Concept of atom, molecule, element and compound: Physical quantities and their measurements in Chemistry, precision and accuracy, significant figures. S.I.Units, dimensional analysis: Laws of chemical combination; Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae: Chemical equations and stoichiometry.

**UNIT 2: STATES OF MATTER**

Classification of matter into solid, liquid and gaseous states.

**Gaseous State:**

Measurable properties of gases: Gas laws - Boyle's law, Charle’s law. Graham's law of diffusion. Avogadro's law, Dalton's law of partial pressure; Concept of Absolute scale of temperature; Ideal gas equation; Kinetic theory of gases (only postulates); Concept of average, root mean square and most probable velocities; Real gases, deviation from Ideal behaviour, compressibility factor and van der Waals equation.

**Liquid State:**

Properties of liquids - vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only).

**Solid State:**

Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Bragg's Law and its applications: Unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, an imperfection in solids; Electrical and magnetic properties.

**UNIT 3: ATOMIC STRUCTURE**

Thomson and Rutherford atomic models and their limitations; Nature of electromagnetic radiation, photoelectric effect; Spectrum of the hydrogen atom. Bohr model of a hydrogen atom - its postulates, derivation of the relations for the energy of the electron and radii of the different orbits, limitations of Bohr's model; Dual nature of matter, de Broglie's relationship. Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanics, the quantum mechanical model of the atom, its important features. Concept of atomic orbitals as one-electron wave functions: Variation of ψ and ψ^{2 }with r for 1s and 2s
orbitals; various

quantum numbers (principal, angular
momentum and magnetic quantum
numbers) and their significance; shapes of
s, p and d - orbitals, electron spin and spin
quantum number: Rules for filling
electrons in orbitals – Aufbau principle.
Pauli's exclusion principle and Hund's rule,
electronic configuration of elements, extra
stability of half-filled and completely filled
orbitals.

**UNIT 4: CHEMICAL BONDING AND
MOLECULAR STRUCURE**

Kossel - Lewis approach to chemical bond formation, the concept of ionic and covalent bonds.

**UNIT 5: CHEMICAL THERMODYNAMICS**

Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, types of processes.

**UNIT 6: SOLUTIONS**

Different methods for expressing the concentration of solution - molality, molarity, mole fraction, percentage (by volume and mass both), the vapour pressure of solutions and Raoult's Law - Ideal and non-ideal solutions, vapour pressure - composition, plots for ideal and non-ideal solutions; Colligative properties of dilute solutions - a relative lowering of vapour pressure, depression of freezing point, the elevation of boiling point and osmotic pressure; Determination of molecular mass using colligative properties; Abnormal value of molar mass, van't Hoff factor and its significance.

**UNIT 7: EQUILIBRIUM**

Meaning of equilibrium, the concept of dynamic equilibrium.

**UNIT 8: REDOX REACTIONS AND
ELECTROCHEMISTRY**

Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions.

Electrolytic and metallic conduction, conductance in electrolytic solutions, molar conductivities and their variation with concentration: Kohlrausch’s law and its applications.

Electrochemical cells - Electrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half - cell and cell reactions, emf of a Galvanic cell and its measurement: Nernst equation and its applications; Relationship between cell potential and Gibbs' energy change: Dry cell and lead accumulator; Fuel cells.

**UNIT 9 : CHEMICAL KINETICS**

Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first-order reactions, their characteristics and half-lives, the effect of temperature on the rate of reactions, Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation).

**UNIT-10 : SURFACE CHEMISTRY**

**Adsorption-** Physisorption and
chemisorption and their characteristics,
factors affecting adsorption of gases on
solids - Freundlich and Langmuir
adsorption isotherms, adsorption from
solutions.

Catalysis - Homogeneous and heterogeneous, activity and selectivity of solid catalysts, enzyme catalysis and its mechanism.

**Colloidal state-** distinction among true
solutions, colloids and suspensions,
classification of colloids - lyophilic.
lyophobic; multimolecular.
macromolecular and associated colloids
(micelles), preparation and properties of
colloids - Tyndall effect. Brownian
movement, electrophoresis, dialysis,
coagulation and flocculation: Emulsions
and their characteristics.

**SECTION B **

**INORGANIC CHEMISTRY**

**UNIT 11: CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES
**

Modem periodic law and present form of the periodic table, s, p. d and f block elements, periodic trends in properties of elements atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states and chemical reactivity.

**UNIT 12: GENERAL PRINCIPLES AND
PROCESSES OF ISOLATION OF METALS**

Modes of occurrence of elements in nature, minerals, ores; Steps involved in the extraction of metals - concentration, reduction (chemical and electrolytic methods) and refining with special reference to the extraction of Al. Cu, Zn and Fe; Thermodynamic and electrochemical principles involved in the extraction of metals.

**UNIT 13: HYDROGEN**

Position of hydrogen in periodic table, isotopes, preparation, properties and uses of hydrogen; Physical and chemical properties of water and heavy water; Structure, preparation, reactions and uses of hydrogen peroxide; Classification of hydrides - ionic, covalent and interstitial; Hydrogen as a fuel.

**UNIT 14: S -BLOCK ELEMENTS (ALKALI AND ALKALINE EARTH METALS) **

**Group - 1 and 2 Elements**

General introduction, electronic configuration and general trends in physical and chemical properties of elements, anomalous properties of the first element of each group, diagonal relationships.

Preparation and properties of some important compounds - sodium carbonate and sodium hydroxide and sodium hydrogen carbonate; Industrial uses of lime, limestone. Plaster of Paris and cement: Biological significance of Na, K. Mg and Ca.

**UNIT 15: P - BLOCK ELEMENTS**

**Group - 13 to Group 18 Elements**

**General Introduction: **Electronic
configuration and general trends in
physical and chemical properties of
elements across the periods and down the
groups; unique behaviour of the first
element in each group.

**Groupwise study of the p - block
elements Group -13**

Preparation, properties and uses of boron and aluminium; Structure, properties and uses of borax, boric acid, diborane, boron trifluoride, aluminium chloride and alums.

**Group -14**

The tendency for catenation; Structure, properties and uses of Allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites and silicones.

**Group -15**

Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure and uses of ammonia, nitric acid, phosphine and phosphorus halides, (PCl3. PCl5); Structures of oxides and oxoacids of nitrogen and phosphorus.

**Group -16**

Preparation, properties, structures and uses of ozone: Allotropic forms of sulphur; Preparation, properties, structures and uses of sulphuric acid (including its industrial preparation); Structures of oxoacids of sulphur.

**Group-17**

Preparation, properties and uses of hydrochloric acid; Trends in the acidic nature of hydrogen halides; Structures of Interhalogen compounds and oxides and oxoacids of halogens.

**Group-18**

Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon

**UNIT 16: d - and f- BLOCK ELEMENTS**

Transition Elements

General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first-row transition elements - physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties and uses of K2Cr2O7, and KMnO4.

Inner Transition Elements

**Lanthanoids - **Electronic configuration,
oxidation states and lanthanoid
contraction.

**Actinoids -** Electronic configuration and
oxidation states.

**UNIT 17: CO-ORDINATION COMPOUNDS**

Introduction to co-ordination compounds. Werner's theory; ligands, co-ordination number, denticity. chelation; IUPAC nomenclature of mononuclear co-- ordination compounds, isomerism; Bonding-Valence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of co-- ordination compounds (in qualitative analysis, extraction of metals and in biological systems).

**UNIT 18: ENVIRONMENTAL CHEMISTRY**

**Environmental pollution -** Atmospheric,
water and soil.

**Atmospheric pollution - **Tropospheric
and Stratospheric

**Tropospheric pollutants -** Gaseous
pollutants: Oxides of carbon, nitrogen and
sulphur, hydrocarbons; their sources,
harmful effects and prevention;
Greenhouse effect and Global warming:
Acid rain;

**Particulate pollutants:** Smoke, dust,
smog, fumes, mist; their sources, harmful
effects and prevention.

**Stratospheric pollution- Formation and
breakdown of ozone, depletion of the
ozone layer - its mechanism and effects.**

**Water Pollution -** Major pollutants such
as. pathogens, organic wastes and
chemical pollutants; their harmful effects
and prevention.

**Soil pollution -** Major pollutants such as;
Pesticides (insecticides. herbicides and
fungicides), their harmful effects and
prevention. Strategies to control
environmental pollution.

**SECTION-C**

**ORGANIC CHEMISTRY**

**UNIT 19: PURIFICATION AND
CHARACTERISATION OF
ORGANIC COMPOUNDS
**

**Purification -** Crystallization,
sublimation, distillation, differential
extraction and chromatography - principles
and their applications.

**Qualitative analysis ** - Detection of
nitrogen, sulphur, phosphorus and
halogens.

**Quantitative analysis** (basic principles
only) - Estimation of carbon, hydrogen,
nitrogen, halogens, sulphur, phosphorus.

Calculations of empirical formulae and molecular formulae: Numerical problems in organic quantitative analysis,

**UNIT 20: SOME BASIC PRINCIPLES OF
ORGANIC
CHEMISTRY**

Tetravalency of carbon: Shapes of simple molecules - hybridization (s and p): Classification of organic compounds based on functional groups: and those containing halogens, oxygen, nitrogen and sulphur; Homologous series: Isomerism - structural and stereoisomerism.

Nomenclature (Trivial and IUPAC)

Covalent bond fission - Homolytic and heterolytic: free radicals, carbocations and carbanions; stability of carbocations and free radicals, electrophiles and nucleophiles.

Electronic displacement in a covalent bond

- Inductive effect, electromeric effect, resonance and hyperconjugation.

Common types of organic reactionsSubstitution, addition, elimination and rearrangement.

**UNIT 21: HYDROCARBONS**

**Alkanes -** Conformations: Sawhorse and
Newman projections (of ethane):
Mechanism of halogenation of alkanes.

**Alkenes - **Geometrical isomerism:
Mechanism of electrophilic addition:
addition of hydrogen, halogens, water,
hydrogen halides (Markownikoffs and
peroxide effect): Ozonolysis and
polymerization.

**Alkynes - **Acidic character: Addition of
hydrogen, halogens, water and hydrogen
halides: Polymerization.

**Aromatic hydrocarbons - **Nomenclature,
benzene - structure and aromaticity:
Mechanism of electrophilic substitution:
halogenation, nitration.

Friedel - Craft's alkylation and acylation, directive influence of the functional group in mono-substituted benzene.

**UNIT 22: ORGANIC COMPOUNDS
CONTAINING HALOGENS**

General methods of preparation, properties and reactions; Nature of C-X bond; Mechanisms of substitution reactions.

Uses; Environmental effects of chloroform, iodoform freons and DDT.

**UNIT 23: ORGANIC COMPOUNDS
CONTAINING OXYGEN**

General methods of preparation, properties, reactions and uses.

**ALCOHOLS, PHENOLS AND ETHERS**

**Alcohols: **Identification of primary,
secondary and tertiary alcohols:
mechanism of dehydration

**Phenols: **Acidic nature, electrophilic
substitution reactions: halogenation.
nitration and sulphonation. Reimer -
Tiemann reaction.

**Ethers: ** Structure.

Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as - Nucleophilic addition reactions (addition of HCN. NH3, and its derivatives), Grignard reagent; oxidation: reduction (Wolf Kishner and Clemmensen); the acidity of -hydrogen. aldol condensation, Cannizzaro reaction. Haloform reaction, Chemical tests to distinguish between aldehydes and Ketones.

**Carboxylic Acids**

Acidic strength and factors affecting it,

**UNIT 24: ORGANIC COMPOUNDS
CONTAINING NITROGEN**

General methods of preparation. Properties, reactions and uses.

Amines: Nomenclature, classification structure, basic character and identification of primary, secondary and tertiary amines and their basic character.

Diazonium Salts: Importance in synthetic organic chemistry.

**UNIT 25: POLYMERS**

General introduction and classification of polymers, general methods of polymerization, - Addition and condensation, copolymerization.

Natural and synthetic, rubber and vulcanization, some important polymers with emphasis on their monomers and uses – polythene, nylon, polyester and bakelite.

**UNIT 26: BIOMOLECULES**

**CARBOHYDRATES - **Classification;
aldoses and ketoses: monosaccharides
(glucose and fructose) and constituent
monosaccharides of oligosaccharides
(sucrose, lactose and maltose).

PROTEINS - Elementary Idea of α-amino acids, peptide bond, polypeptides.

**Proteins:** primary, secondary, tertiary and
quaternary structure (qualitative idea
only), denaturation of proteins, enzymes.

**VITAMINS –** Classification and
functions.

**NUCLEIC ACIDS – **Chemical
constitution of DNA and RNA.

Biological functions of nucleic acids.

**UNIT 27: CHEMISTRY IN EVERYDAY LIFE**

**Chemicals in Medicines -** Analgesics,
tranquillizers, antiseptics, disinfectants,
antimicrobials, anti-fertility drugs,
antibiotics, antacids. Anti-histamines -
their meaning and common examples.

**Chemicals in food - **Preservatives,
artificial sweetening agents - common
examples.

**Cleansing Agents - **Soaps and detergents,
cleansing action

**UNIT 28: PRINCIPLES RELATED TO PRACTICAL CHEMISTRY**

Detection of extra elements (Nitrogen, Sulphur, halogens) in organic compounds; Detection of the following functional groups; hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketones) carboxyl and amino groups in organic compounds.

- The chemistry involved in the preparation
of the following:
Inorganic compounds; Mohr’s salt, potash alum.

Organic compounds: Acetanilide, p-nitro acetanilide, aniline yellow, iodoform.

- The chemistry involved in the titrimetric exercises – Acids, bases and the use of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4
- Chemical principles involved in the
qualitative salt analysts:
Cations – Pb2+, Cu2+, Al3+, Fe3+, Zn2+, Ni2+ , Ca2+, Ba2+, Mg2+, NH4

Anions- CO

_{3}^{2}^{-}S^{2}- SO_{4}^{2}^{-}NO3- , NO^{2}- , Cl^{-}, Br^{-}, I^{-}( Insoluble salts excluded).Chemical principles involved in the following experiments:

- Enthalpy of solution of CuSO
- Enthalpy of neutralization of strong acid and strong base.
- Preparation of lyophilic and lyophobic sols.
- Kinetic study of the reaction of iodide ion with hydrogen peroxide at room temperature.

2. Mathmatics

Sets and their representation: Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Type of relations, equivalence relations, functions; one-one, into and onto functions, the composition of functions.

**UNIT 2 : COMPLEX NUMBERS AND QUADRATIC EQUATIONS:**

Complex numbers as ordered pairs of reals, Representation of complex numbers in the form a + ib and their representation in a plane, Argand diagram, algebra of complex number, modulus and argument (or amplitude) of a complex number, square root of a complex number, triangle inequality, Quadratic equations in real and complex number system and their solutions Relations between roots and coefficient, nature of roots, the formation of quadratic equations with given roots.

**UNIT 3 : MATRICES AND DETERMINANTS:**

Matrices, algebra of matrices, type of matrices, determinants and matrices of order two and three, properties of determinants, evaluation of determinants, area of triangles using determinants, Adjoint and evaluation of inverse of a square matrix using determinants and elementary transformations, Test of consistency and solution of simultaneous linear equations in two or three variables using determinants and matrices.

**UNIT 4 : PERMUTATIONS AND COMBINATIONS:**

The fundamental principle of counting, permutation as an arrangement and combination as section, Meaning of P (n,r) and C (n,r), simple applications.

**UNIT 5 : MATHEMATICAL INDUCTIONS: **

Principle of Mathematical Induction and its simple applications.

**UNIT 6 : BINOMIAL THEOREM AND ITS SIMPLE APPLICATIONS:**

Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications.

**UNIT 7 : SEQUENCES AND SERIES:**

Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers, Relation between A.M and G.M sum up to n terms of special series; Sn, Sn2, Sn3. Arithmetico-Geometric progression.

**UNIT 8 : LIMIT, CONTINUITY AND DIFFERENTIABILITY:**

Real – valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse function. Graphs of simple functions. Limits, continuity and differentiability. Differentiation of the sum, difference, product and quotient of two functions. Differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions; derivatives of order up to two, Rolle’s and Lagrange's Mean value Theorems, Applications of derivatives: Rate of change of quantities, monotonicIncreasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normal.

**UNIT 9 : INTEGRAL CALCULUS:**

Integral as an anti-derivative, Fundamental Integrals involving algebraic, trigonometric, exponential and logarithms functions. Integrations by substitution, by parts and by partial functions. Integration using trigonometric identities.

Evaluation of simple integrals of the type ∫ 2+𝑎2 , ∫ 𝑑𝑥 √𝑥 2 ± 𝑎2 , ∫ 𝑑𝑥 𝑎2− 𝑥 2 , ∫ 𝑑𝑥 √𝑎2− 𝑥 2 , ∫ 𝑑𝑥 𝑎𝑥2+𝑏𝑥+𝑐 ,∫ 𝑑𝑥 √𝑎𝑥2+ 𝑏𝑥+𝑐 , ∫ (𝑝𝑥+𝑞)𝑑𝑥 𝑎𝑥2+𝑏𝑥+𝑐 , ∫ (𝑝𝑥+𝑞)𝑑𝑥 √𝑎𝑥2+ 𝑏𝑥+𝑐 ∫ √𝑎 2 ± 𝑥 2 𝑑𝑥 , ∫√𝑥 2 − 𝑎 2 𝑑𝑥 Integral as limit of a sum. The fundamental theorem of calculus, properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.**UNIT 10: DIFFERENTIAL EQUATIONS:**

Ordinary differential equations, their order and degree, the formation of differential equations, solution of differential equation by the method of separation of variables, solution of a homogeneous and linear differential equation of the type + 𝑝(𝑥)𝑦 = 𝑞(𝑥)

** UNIT 11: CO-ORDINATE GEOMETRY:**

Cartesian system of rectangular coordinates in a plane, distance formula, sections formula, locus and its equation, translation of axes, the slope of a line, parallel and perpendicular lines, intercepts of a line on the co-ordinate axis

**Straight lines**

Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, the distance of a point form a line, equations of internal and external by sectors of angles between two lines co-ordinate of the centroid, orthocentre and circumcentre of a triangle, equation of the family of lines passing through the point of intersection of two lines.

**Circles, conic sections**

A standard form of equations of a circle, the general form of the equation of a circle, its radius and central, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to a circle, equation of the tangent, sections of conics, equations of conic sections (parabola, ellipse and hyperbola) in standard forms, condition for Y = mx +c to be a tangent and point (s) of tangency.

**UNIT 12: THREE DIMENSIONAL GEOMETRY:**

Coordinates of a point in space, the distance between two points, section formula, directions ratios and direction cosines, the angle between two intersecting lines. Skew lines, the shortest distance between them and its equation. Equations of a line and a plane in different forms, the intersection of a line and a plane, coplanar lines.

**UNIT 13: VECTOR ALGEBRA:**

Vectors and scalars, the addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product.

**UNIT 14: STATISTICS AND PROBABILITY:**

Measures of discretion; calculation of mean, median, mode of grouped and ungrouped data calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.

Probability: Probability of an event, addition and multiplication theorems of probability, Baye's theorem, probability distribution of a random variate, Bernoulli trials and binomial distribution.

**UNIT 15: TRIGONOMETRY:**

Trigonometrical identities and equations, trigonometrical functions, inverse trigonometrical functions and their properties, heights and distance.

**UNIT 16: MATHEMATICAL REASONING:**

Statement logical operations and, or, implies, implied by, if and only if, understanding of tautology, contradiction, converse and contrapositive

3. Physics

The syllabus contains two Section- A and B,
Section – A pertains to the Theory Part having 80%
weightage, while Sections – B contains practical
component (Experimental Skills) having 20 %
Weightage.

**SECTION A**

**UNIT 1: PHYSICS AND MEASUREMENT**

Physics, technology and society, S I Units, fundamental and derived units, least count, accuracy and precision of measuring instruments, Errors in measurement, Dimensions of Physics quantities, dimensional analysis and its applications.

**UNIT 2: KINEMATICS**

The frame of reference, motion in a straight line, Position- time graph, speed and velocity; Uniform and non-uniform motion, average speed and instantaneous velocity, uniformly accelerated motion, velocity-time, position-time graph, relations for uniformly accelerated motion, Scalars and Vectors, Vector. Addition and subtraction, zero vector, scalar and vector products, Unit Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile Motion, Uniform Circular Motion

**UNIT 3: LAWS OF MOTION**

Force and inertia, Newton’s First law of motion; Momentum, Newton’s Second Law of motion, Impulses; Newton’s Third Law of motion. Law of conservation of linear momentum and its applications. Equilibrium of concurrent forces.

Static and Kinetic friction, laws of friction, rolling friction.

Dynamics of uniform circular motion: centripetal force and its applications.

**UNIT 4: WORK, ENERGY AND POWER**

Work done by a content force and a variable force; kinetic and potential energies, work-energy theorem, power.

The potential energy of spring conservation of mechanical energy, conservative and neoconservative forces; Elastic and inelastic collisions in one and two dimensions.

**UNIT 5: ROTATIONAL MOTION**

Centre of the mass of a two-particle system, Centre of the mass of a rigid body; Basic concepts of rotational motion; a moment of a force; torque, angular momentum, conservation of angular momentum and its applications; the moment of inertia, the radius of gyration. Values of moments of inertia for simple geometrical objects, parallel and perpendicular axes theorems and their applications. Rigid body rotation equations of rotational motion.

**UNIT 6: GRAVITATION**

The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Kepler’s law of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity, Orbital velocity of a satellite. Geo stationary satellites.

**UNIT 7: PROPERTIES OF SOLIDS AND LIQUIDS**

Elastic behaviour, Stress-strain relationship, Hooke's Law. Young's modulus, bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascal's law and its applications. Viscosity. Stokes' law. terminal velocity, streamline and turbulent flow. Reynolds number. Bernoulli's principle and its applications. Surface energy and surface tension, angle of contact, application of surface tension - drops, bubbles and capillary rise. Heat, temperature, thermal expansion; specific heat capacity, calorimetry; change of state, latent heat. Heat transfer-conduction, convection and radiation. Newton's law of cooling.

**UNIT 8: THERMODYNAMICS**

Thermal equilibrium, zeroth law of thermodynamics, the concept of temperature. Heat, work and internal energy. The first law of thermodynamics. The second law of thermodynamics: reversible and irreversible processes. Carnot engine and its efficiency.

**UNIT 9: KINETIC THEORY OF GASES**

Equation of state of a perfect gas, work done on compressing a gas, Kinetic theory of gases - assumptions, the concept of pressure. Kinetic energy and temperature: RMS speed of gas molecules: Degrees of freedom. Law of equipartition of energy, applications to specific heat capacities of gases; Mean free path. Avogadro's number

**UNIT 10: OSCILLATIONS AND WAVES**

Periodic motion - period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase: oscillations of a spring -restoring force and force constant: energy in S.H.M. - Kinetic and potential energies; Simple pendulum - derivation of expression for its time period: Free, forced and damped oscillations, resonance.

Wave motion. Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, a reflection of waves. Standing waves in strings and organ pipes, fundamental mode and harmonics. Beats. Doppler Effect in sound

**UNIT 11: ELECTROSTATICS**

Electric charges: Conservation of charge. Coulomb's law-forces between two point charges, forces between multiple charges: superposition principle and continuous charge distribution.

Electric field: Electric field due to a point charge, Electric field lines. Electric dipole, Electric field due to a dipole. Torque on a dipole in a uniform electric field.

Electric flux. Gauss's law and its applications to find field due to infinitely long uniformly charged straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell. Electric potential and its calculation for a point charge, electric dipole and system of charges; Equipotential surfaces, Electrical potential energy of a system of two point charges in an electrostatic field.

Conductors and insulators. Dielectrics and electric polarization, capacitor, the combination of capacitors in series and parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates. Energy stored in a capacitor.

**UNIT 12: CURRRENT ELECTRICITY**

Electric current. Drift velocity. Ohm's law. Electrical resistance. Resistances of different materials. V-l characteristics of Ohmic and non-ohmic conductors. Electrical energy and power. Electrical resistivity. Colour code for resistors; Series and parallel combinations of resistors; Temperature dependence of resistance.

Electric Cell and its Internal resistance, potential difference and emf of a cell, a combination of cells in series and parallel. Kirchhoff’s laws and their applications. Wheatstone bridge. Metre Bridge. Potentiometer - principle and its applications.

**UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM**

Biot - Savart law and its application to current carrying circular loop. Ampere's law and its applications to infinitely long current carrying straight wire and solenoid. Force on a moving charge in uniform magnetic and electric fields. Cyclotron.

Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel current carrying conductorsdefinition of ampere. Torque experienced by a current loop in a uniform magnetic field: Moving coil galvanometer, its current sensitivity and conversion to ammeter and voltmeter.

Current loop as a magnetic dipole and its magnetic dipole moment. Bar magnet as an equivalent solenoid, magnetic field lines; Earth's magnetic field and magnetic elements. Para-, dia- and ferromagnetic substances. Magnetic susceptibility and permeability. Hysteresis. Electromagnets and permanent magnets.

**UNIT 14: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS**

Electromagnetic induction: Faraday's law. Induced emf and current: Lenz’s Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and RMS value of alternating current/ voltage: reactance and impedance: LCR series circuit, resonance: Quality factor, power in AC circuits, wattless current. AC generator and transformer.

**UNIT 15: ELECTROMAGNETIC WAVES**

Electromagnetic waves and their characteristics, Transverse nature of electromagnetic waves, Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet. X-rays. Gamma rays), Applications of e.m. waves.

UNIT 16: OPTICS

Reflection and refraction of light at plane and spherical surfaces, mirror formula. Total internal reflection and its applications. Deviation and Dispersion of light by a; prism; Lens Formula. Magnification. Power of a Lens. Combination of thin lenses in contact. Microscope and Astronomical Telescope (reflecting and refracting ) and their magnifying powers.

**Wave optics:** wavefront and Huygens'
principle. Laws of reflection and refraction
using Huygens principle. Interference,
Young's double-slit experiment and
expression for fringe width, coherent
sources and sustained interference of light.
Diffraction due to a single slit, width of
central maximum. Resolving power of
microscopes and astronomical telescopes.
Polarization, plane-polarized light:
Brewster's law, uses of plane-polarized
light and Polaroid.

**UNIT 17: DUAL NATURE OF MATTER ANDRADIATION **

Dual nature of radiation. Photoelectric effect. Hertz and Lenard's observations; Einstein's photoelectric equation: particle nature of light. Matter waves-wave nature of particle, de Broglie relation. DavissonGermer experiment.

**UNIT 18: ATOMS AND NUCLEI**

Alpha-particle scattering experiment; Rutherford's model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars: isotones. Radioactivity- alpha. beta and gamma particles/rays and their properties; radioactive decay law. Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion.

**UNIT 19: ELECTRONIC DEVICES**

Semiconductors; semiconductor diode: 1- V characteristics in forward and reverse bias; diode as a rectifier; I-V characteristics of LED. the photodiode, solar cell and Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor: transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR. AND. NOT. NAND and NOR). Transistor as a switch.

**UNIT 20: COMMUNICATION SYSTEMS**

Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation. Need for modulation. Amplitude and Frequency Modulation, Bandwidth of signals. the bandwidth of Transmission medium, Basic Elements of a Communication System (Block Diagram only).

**SECTION B**

**UNIT 21: EXPERIMENTAL SKILLS**

Familiarity with the basic approach and observations of the experiments and activities:

- Vernier callipers-its use to measure the internal and external diameter and depth of a vessel.
- Screw gauge-its use to determine thickness/ diameter of thin sheet/wire.
- Simple Pendulum-dissipation of energy by plotting a graph between the square of amplitude and time.
- Metre Scale - the mass of a given object by principle of moments.
- Young's modulus of elasticity of the material of a metallic wire.
- Surf ace tension of water by capillary rise and effect of detergents,
- Co-efficient of Viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body,
- Plotting a cooling curve for the relationship between the temperature of a hot body and time.
- Speed of sound in air at room temperature using a resonance tube,
- Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures.
- The resistivity of the material of a given wire using metre bridge.
- The resistance of a given wire using Ohm's law.
- Potentiometer
- Comparison of emf of two primary cells.
- Determination of internal resistance of a cell.

- Resistance and figure of merit of a galvanometer by half deflection method.
- The focal length of
- Convex mirror
- Concave mirror, and
- Convex lens, using the parallax method

- The plot of the angle of deviation vs angle of incidence for a triangular prism.
- Refractive index of a glass slab using a travelling microscope.
- Characteristic curves of a p-n junction diode in forward and reverse bias.
- Characteristic curves of a Zener diode and finding reverse break down voltage.
- Characteristic curves of a transistor and finding current gain and voltage gain.
- Identification of Diode. LED, Transistor. IC. Resistor. A capacitor from a mixed collection of such items.
- Using a multimeter to:
- Identify the base of a transistor
- Distinguish between NPN and PNP type transistor
- See the unidirectional of current in case of a diode and an LED.
- Check the correctness or otherwise of a given electronic component (diode, transistor or IC).

**For Paper 2:**

**Part - I **Awareness of persons,
places, Buildings, Materials.) Objects, Texture related to Architecture and
build~environment. Visualising three dimensional objects from two dimensional
drawings. Visualising. different sides of three dimensional objects. Analytical
Reasoning Mental Ability (Visual, Numerical and Verbal).

**Part - II** Three dimensional -
perception: Understanding and appreciation of scale and proportion of objects,
building forms and elements, colour texture, harmony and contrast. Design and
drawing of geometrical or abstract shapes and patterns in pencil. Transformation
of forms both 2 D and 3 D union, substraction, rotation, development of surfaces
and volumes, Generation of Plan, elevations and 3 D views of objects. Creating
two dimensional and three dimensional compositions using given shapes and forms.
Sketching of scenes and activities from memory of urbanscape (public space,
market, festivals, street scenes, monuments, recreational spaces etc.),
landscape (river fronts, jungles. gardens, tre es, plants etc.) and rural life.

Sketching of scenes & activities from memory of urban scapes (public space, market, festivals, street scenes, monuments, recreational spaces etc.), landscape (river fronts, jungles, gardens, trees, plants etc.) and rural life.

**Note:**Candidates are advised to bring pencils, own geometry box set, erasers and colour pencils and crayons for the Aptitude Test.

JEE (Main) May 2022 Examination