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MATHEMATICS
ALGEBRA
a) Functions: Types of functions – Definitions - Domain, Range.
b) Matrices: Types of matrices - Scalar multiple of a matrix and multiplication of matrices -
Transpose of a matrix – Determinants (excluding properties of determinants) - Adjoint and
Inverse of a matrix - Rank of a matrix - Solution of simultaneous linearequations (Excluding
Gauss Jordan Method).
c) Complex Numbers: Complex number as an ordered pair of real numbers- fundamental
operations - Representation of complex numbers in the form a+ib - Modulus and amplitude
of complexnumbers–Illustrations - Geometrical and Polar Representation of complex
numbers in Argand plane-Argand diagram.
d) De Moivre’s Theorem: De Moivre’s theorem- Integral and Rational indices - nth roots of
unity- Geometrical Interpretations–Illustrations.
e) Quadratic Expressions: Quadratic expressions, equations in one variable - Sign of
quadratic expressions – Change in signs – Maximum and minimum values, Quadratic
Inequations.
f) Theory of Equations: The relation between the roots and coefficients in an equation -
Solving the equations when two or more roots of it are connected by certain relation -
Equation with real coefficients, occurrence of complex roots in conjugate pairs and its
consequences, Transformation of equations- Reciprocal equations.
g) Permutations and Combinations: Fundamental Principle of counting – linear and circular
permutations- Permutations of ‘n’ dissimilar things taken ‘r’ at a time - Permutations when
repetitions allowed - Circular permutations - Permutations with constraint repetitions -
Combinations-definitions, certain theorems.
h) Binomial Theorem: Binomial theorem for positive integral index, Binomial theorem for
rational Index (without proof). Approximations using Binomial theorem
i) Partial fractions: Partial fractions of f(x)/g(x) when g(x) contains non –repeated linear
factors - Partial fractions of f(x)/g(x) where both f(x) and g(x) are polynomials and when
g(x) contains repeated and/or non-repeated linear factors - Partial fractions of f(x)/g(x) when
g(x) contains irreducible factors.
TRIGONOMETRY
a) Trigonometric Ratios upto Transformations: Graphs and Periodicity of Trigonometric
functions - Trigonometric ratios and Compound angles - Trigonometric ratios of multiple
and sub- multiple angles - Transformations - Sum and Product rules.
b) Hyperbolic Functions: Definition of Hyperbolic Function – Graphs - Definition of Inverse
Hyperbolic Functions – Graphs - Addition formulae of Hyperbolic Functions.
c) Properties of Triangles: Relation between sides and angles of a Triangle - Sine, Cosine,
Tangent and Projection rules- Half angle formulae and areas of a triangle–In-circle and Ex-
circle of aTriangle (excluding problems related to heights and distances).
VECTOR ALGEBRA
a) Addition of Vectors: Vectors as a triad of real numbers - Classification of vectors -
Addition of vectors - Scalar multiplication - Angle between two non-zero vectors - Linear
combination of vectors - Component of a vector in three dimensions - Vector equations of
line and plane including their Cartesian equivalent forms.
b) Product of Vectors: Scalar Product - Geometrical Interpretations - orthogonal projections -
Properties of dot product - Expression of dot product in i, j, k system - Angle between two
vectors - Geometrical Vector methods – Vector equations of plane in normal form-Angle
between two planes- Vector product of two vectors and properties- Vector product in i, j, k
system- Vector Areas .
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MEASURES OF DISPERSION AND PROBABILITY
a) Measures of Dispersion - Range - Mean deviation - Variance and standard deviation of
ungrouped/grouped data, coefficient of variation and analysis of frequency distribution with
equal means but different variancies.
b) Probability: Random experiments and events - Classical definition of probability,
Axiomatic approach and addition theorem of probability - Independent and dependent
events - conditional probability- multiplication theorem and Baye’s theorem.
c) Random Variables and Probability Distributions: Random Variables - Theoretical
discrete distributions – Binomial and Poisson Distributions.
COORDINATEGEOMETRY
a) Locus: Definition of locus –Illustrations-To find equations of locus-Problems connected toit.
b) The Straight Line: Revision of fundamental results - Straight line - Normal form –
Illustrations - Straight line - Symmetric form - Straight line - Reduction into various forms -
Intersection of two Straight Lines - Family of straight lines - Concurrent lines - Condition
for Concurrent lines - Angle between two lines - Length of perpendicular from a point to a
Line - Distance between two parallel lines - Concurrent lines - properties related to a
triangle.
c) Pair of Straight lines: Equations of pair of lines passing through origin - angle between a
pair of lines - Condition for perpendicular and coincident lines, bisectors of angles - Pair of
bisectors of angles (excluding proofs of all the theorems only) - Pair of lines - second degree
general equation - Conditions for parallel lines - distance between them, Point of
intersection of pair of lines - Homogenizing a second degree equation with a first degree
equation in x and y.
d) Circle : Equation of circle -standard form-centre and radius equation of a circle with a given
line segment as diameter & equation of circle through three non collinear points -
parametric equations of a circle - Position of a point in the plane of a circle – power of a
point-definition of tangent-length of tangent - Position of a straight line in the plane of a
circle-conditions for a line to be tangent – chord joining two points on a circle – equation of
the tangent at a point on the circle- point of contact-equation of normal-Chord of contact-
pole and polar-conjugate points and conjugate lines- equation of chord with given middle
point, Relative position of two circles- circles touching each other externally, internally
common tangents –centers of similitude- equation of pair of tangents from an external point.
e) System of circles: Angle between two intersecting circles –condition for orthogonality -
Radical axis of two circles- properties- Common chord and common tangent of two circles
–radical centre - Intersection of a line and a Circle.
f) Parabola: Conic sections –Parabola- equation of parabola in standard form-different forms
of parabola- parametric equations, Equations of tangent and normal at a point on the
parabola (Cartesian and Parametric)- conditions for straight line to be a tangent.
g) Ellipse: Equation of ellipse in standard form- Parametric equations, Equation of tangent and
normal at a point on the ellipse (Cartesian and parametric)- condition for a straight line to be
a tangent.
h) Hyperbola: Equation of hyperbola in standard form- Parametric equations - Equations of
tangent and normal at a point on the hyperbola (Cartesian and parametric) - conditions for a
straight line to be tangent-Asymptotes.
i) Three Dimensional Coordinates: Coordinates - Section formulae - Centroid of a triangle
and tetrahedron.
j) Direction Cosines and Direction Ratios: Direction Cosines –Direction Ratios (Excluding
angle between two lines).
k) Plane: Cartesian equation of Plane –Simple Illustrations (Excluding angle between two
planes).
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CALCULUS
a) Limits and Continuity: Intervals and neighborhoods – Limits - Standard Limits–Continuity.
b) Differentiation: Derivative of a function - Elementary Properties - Trigonometric, Inverse
Trigonometric, Hyperbolic, Inverse Hyperbolic Function – Derivatives - Methods of
Differentiation – Second Order Derivatives.
c) Applications of Derivatives: Geometrical Interpretation of a derivative - Equations of
tangents and normals - Angles between two curves and condition for orthogonality of curves
- Increasing and decreasing functions - Maxima and Minima.
d) Integration: Integration as the inverse process of differentiation- Standard forms -properties
of integrals - Method of substitution- integration of Algebraic, exponential, logarithmic,
trigonometric and inverse trigonometric functions - Integration by parts – Integration by
partial fractions method – Reduction formulae.
e) Definite Integrals: Definite Integral as the limit of sum, Interpretation of Definite Integral
as an area. Fundamental theorem of Integral Calculus. Properties, Reduction formulae,
Application of Definite integral to areas.
f) Differential equations: Formation of differential equation-Degree and order of an ordinary
differential equation - Solving differential equation by i) Variables separable method, ii)
Homogeneous differential equation, iii) Non Homogeneous differential equation iv) Linear
differential equations
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PHYSICS
1. PHYSICAL WORLD: What is physics? Scope and excitement of physics. Physics,
technology and society, Fundamental forces in nature, Nature of physical laws
2. UNITS AND MEASUREMENTS: The international system of units, Measurement of
Length, Measurement of Large Distances, Estimation of Very Small Distances, Size of a
Molecule, Range of Lengths, Measurement of Mass, Range of Masses, Measurement of time,
Accuracy, precision of instruments and errors in measurement, Systematic errors, random errors,
least count error, Absolute Error, Relative Error and Percentage Error, Combination of Errors,
Significant figures, Rules for Arithmetic Operations with Significant Figures, Rounding off the
Uncertain Digits, Rules for Determining the Uncertainty in the Results of Arithmetic
Calculations, Dimensions of Physical Quantities, Dimensional Formulae and dimensional
equations, Dimensional Analysis and its Applications, Checking the Dimensional Consistency of
Equations, Deducing Relation among the Physical Quantities.
3. MOTION IN A STRAIGHT LINE: Position, path length and displacement, average velocity
and average speed, instantaneous velocity and speed, acceleration, kinematic equations for
uniformly accelerated motion, relative velocity.
4. MOTION IN A PLANE: Scalars and vectors, position and displacement vectors, equality of
vectors, multiplication of vectors by real numbers, addition and subtraction of vectors - graphical
method, resolution of vectors, vector addition - analytical method, motion in a plane, position
vector and displacement, velocity, acceleration, motion in a plane with constant acceleration,
relative velocity in two dimensions, projectile motion, equation of path of a projectile, time of
maximum height, maximum height of a projectile, horizontal range of projectile, uniform
circular motion.
5. LAWS OF MOTION: Aristotle’s fallacy, Equilibrium of a particle, Common forces in
mechanics, friction, types of friction, static, kinetic and rolling frictions, Circular motion, Motion
of a car on a level road, Motion of a car on a banked road, solving problems in mechanics.
6. WORK, ENERGY AND POWER: The Scalar Product, Notions of work and kinetic energy,
The work-energy theorem, Work, Kinetic energy, Work done by a variable force, The work-
energy theorem for a variable force, The concept of Potential Energy, The conservation of
Mechanical Energy, The Potential Energy of a spring, Various forms of energy, Heat, Chemical
Energy, Electrical Energy, The Equivalence of Mass and Energy, Nuclear Energy, The Principle
of Conservation of Energy, Power, Collisions, Elastic and Inelastic Collisions, Collisions in one
dimension, Coefficient of Restitution and its determination, Collisions in Two Dimensions.
7. SYSTEM OF PARTICLES AND ROTATIONAL MOTION: Rigid body motion, Centre
of mass, Centre of Gravity, Motion of centre of mass, Linear momentum of a system of particles,
Vector product of two vectors, Angular velocity and its relation with linear velocity, Angular
acceleration, Kinematics of rotational motion about a fixed axis, Moment of force (Torque),
Angular momentum of particle, Torque and angular momentum for a system of a particles,
conservation of angular momentum, Equilibrium of a rigid body, Principle of moments, Moment
of inertia, Dynamics of rotational motion about a fixed axis, Angular momentum in case of
rotation about a fixed axis, Rolling motion, Kinetic Energy of Rolling Motion.
8. OSCILLATIONS: Periodic and oscillatory motions, Period and frequency, Displacement,
Simple harmonic motion (S.H.M.), Simple harmonic motion and uniform circular motion,
Velocity and acceleration in simple harmonic motion, Force law for Simple harmonic Motion,
Energy in simple harmonic motion, some systems executing Simple Harmonic Motion,
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Oscillations due to a spring, The Simple Pendulum, damped simple harmonic motion, Forced
oscillations and resonance.
9. GRAVITATION: Universal law of gravitation, central forces, the gravitational constant,
Acceleration due to gravity of the earth, Acceleration due to gravity below and above the surface
of earth, Gravitational potential energy, Escape speed, Orbital Speed, Earth satellites, Energy of
an orbiting satellite, Geostationary and polar satellites, Weightlessness.
10. MECHANICAL PROPERTIES OF SOLIDS: Elastic behavior of solids, Stress and strain,
Hooke’s law, Stress-strain curve, Elastic moduli, Young’s Modulus, Determination of Young’s
Modulus of the Material of a Wire, Shear Modulus, Bulk Modulus, Applications of elastic
behavior of materials.
11. MECHANICAL PROPERTIES OF FLUIDS: Pressure, Pascal’s Law, Variation of
Pressure with Depth, Atmospheric Pressure and Gauge Pressure, Hydraulic Machines,
Archimedes’ Principle, Streamline flow, Bernoulli’s principle, Speed of Efflux, Torricelli’s Law,
Venturi- meter, Blood Flow and Heart Attack, Dynamic Lift, Viscosity, Variation of Viscosity of
fluids with temperature, Stokes’ Law, Reynolds number, Critical Velocity, Surface tension and
Surface Energy, Angle of Contact, Drops and Bubbles, Capillary Rise, Detergents and Surface
Tension.
12. THERMAL PROPERTIES OF MATTER: Temperature and heat, Measurement of
temperature, Ideal-gas equation and absolute temperature, Thermal expansion, Specific heat
capacity, Calorimetry, Change of state, Triple Point, Regelation, Latent Heat, Black body
Radiation, Greenhouse Effect, Newton’s law of cooling and its experimental verification.
13. THERMODYNAMICS: Thermal equilibrium, Zeroth law of thermodynamics, Heat,
Internal Energy and work, First law of thermodynamics, Specific heat capacity, Specific heat
capacity of water, Thermodynamic state variables and equation of State, Thermodynamic
processes, Quasi-static process, Isothermal Process, Adiabatic Process, Isochoric Process,
Isobaric process, Cyclic process, Second law of thermodynamics, Reversible and irreversible
processes, Carnot engine, Carnot’s theorem.
14. KINETIC THEORY: Molecular nature of matter, Behaviour of gases, Boyle’s Law,
Charles’ Law, Kinetic theory of an ideal gas, Pressure of an Ideal Gas, Kinetic interpretation of
temperature, Law of equipartition of energy, Specific heat capacity, Monatomic Gases, Diatomic
Gases, Polyatomic Gases, Specific Heat Capacity of Solids, Specific Heat Capacity of Water,
Mean free path.
15. WAVES: Transverse and longitudinal waves, wave displacement relation in a progressive
wave, amplitude and phase, wavelength and angular wave number, period, angular frequency and
frequency, the speed of a travelling wave, speed of a transverse wave on stretched string, speed
of a longitudinal wave (speed of sound), the principle of superposition of waves, reflection of
waves, standing waves and normal modes, beats, Doppler effect and its two situations.
16. RAY OPTICS AND OPTICAL INSTRUMENTS: Sign convention, Reflection of Light by
Spherical Mirrors, Mirror equation, refraction, total internal reflection, total internal reflection in
nature and its technological applications, refraction at spherical surfaces and by lenses, power of
a lens, combination of thin lenses in contact, refraction through a prism, dispersion by a prism,
natural phenomena due to sunlight – Rainbow, Scattering of light, optical instruments, the eye,
the simple and compound microscopes, refracting telescope and Cassegrain reflecting telescope.
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17. WAVE OPTICS: Huygens principle, refraction and reflection of plane waves using
Huygens principle, refraction in a rarer medium (at the denser medium boundary), reflection of a
plane wave by a plane surface, the Doppler effect, coherent and incoherent addition of waves,
interference of light waves and Young‘s experiment, Diffraction, Single slit, resolving power of
optical instruments, the validaity of ray optics, Polarisation by reflection, plane polarized light,
polaroids, polarization by scattering.
18. ELECTRIC CHARGES AND FIELDS: Electric charge, conductors and insulators,
charging by induction, basic properties of electric charges, additivity of charges, conservation of
charge, quantization of charge, Coulomb’s law, forces between multiple charges, electric field,
electric field due to a system of charges, physical significance of electric field, electric field lines,
electric flux, electric dipole, the field of an electric dipole for points on the axial line and on the
equatorial plane, physical significance of dipoles, dipole in a uniform external field, continuous
charge distribution, Gauss’s law, Applications of Gauss’s Law, field due to uniformly charged
thin spherical shell, infinitely long straight uniformly charged wire, infinite plane sheet.
19. ELECTROSTATIC POTENTIAL AND CAPACITANCE: Electrostatic potential,
potential due to a point charge, potential due to an electric dipole, potential due to a system of
charges, equipotential surfaces, relation between field and potential, potential energy of a system
of charges, potential energy in an external field, potential energy of a single charge, potential
energy of a system of two charges in an external field, potential energy of a dipole in an external
field, electrostatics of conductors, electrostatic shielding, dielectrics and polarisation, electric
displacement, capacitors and capacitance, the parallel plate capacitor, effect of dielectric on
capacitance, combination of capacitors, capacitors in series, capacitors in parallel, energy stored
in a capacitor, Van de Graaff generator.
20. CURRENT ELECTRICITY: Electric current, electric current in conductors, Ohm’s law,
drift of electrons and the origin of resistivity, mobility, limitations of Ohm’s law, resistivity of
various materials, colour code of resistors, Resistivity of various Materials, Colour Code for
carbon resisters, Temperature dependence of resistivity, electrical energy, power, .Combination
of Resistors, Series and Parallel, Cells, EMF, internal resistance, cells in series and in parallel,
Kirchhoff’s rules, Wheatstone Bridge, Meter Bridge, Potentiometer.
21. MOVING CHARGES AND MAGNETISM: Magnetic force, sources and fields, magnetic
field, Lorentz force, magnetic force on a current carrying conductor, motion in a magnetic field,
helical motion of charged particles, motion in combined electric and magnetic fields, , velocity
selector, cyclotron, magnetic field due to a current element, Biot – Savart’s law, Magnetic field
on the axis of a circular current loop, Ampere’s circuital law, the solenoid and the toroid, force
between two parallel current carrying conductors, the ampere (UNIT), torque on current loop,
magnetic dipole, torque on a rectangular current loop in a uniform magnetic field, circular
current loop as a magnetic dipole, the magnetic dipole moment of a revolving electron, the
Moving Coil Galvanometer; conversion into ammeter and voltmeter.
22. MAGNETISM AND MATTER: The bar magnet, the magnetic field lines, bar magnet as an
equivalent solenoid, The dipole in a uniform magnetic field, the electrostatic analog, Magnetism
and Gauss’s Law, The Earth’s magnetism, magnetic declination and dip, magnetization and
magnetic intensity, magnetic properties of materials, permanent magnets and electromagnets.
23. ELECTROMAGNETIC INDUCTION: The experiments of Faraday and Henry, magnetic
flux, Faraday’s Law of induction, Lenz’s law and conservation of energy, motional electromotive
force, energy consideration - a quantitative study, Eddy currents, inductance, mutual inductance,
self-inductance, AC generator.
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24. ALTERNATING CURRENT: AC voltage applied to a resistor, representation of AC
current and voltage by rotating vectors - Phasors, AC voltage applied to an inductor, AC voltage
applied to a capacitor, AC voltage applied to a series LCR circuit, Phasor – diagram solution,
analytical solution, resonance, sharpness of resonance, Power in AC circuit: The power factor,
Wattless current LC oscillations, transformers.
25. ELECTROMAGNETIC WAVES: Displacement Current, Maxwell’s equations,
electromagnetic waves, sources of electromagnetic waves, nature of electromagnetic waves,
electromagnetic spectrum: radio waves, microwaves, infrared waves, visible rays, ultraviolet
rays, X-rays, gamma rays.
26. DUAL NATURE OF RADIATION AND MATTER: Electron emission, Photoelectric
Effect, Hertz’s observations, Hallwachs and Lenard’s observations, experimental study of
photoelectric effect, effect of intensity of light on photocurrent, effect of potential on
photoelectric current, effect of frequency of incident radiation on stopping potential,
Photoelectric effect and Wave theory of Light, Einstein’s Photoelectric equation, Energy
Quantum of Radiation, particle nature of light, the photon, wave nature of matter, photocell,
Davisson and Germer Experiment
27. ATOMS: Alpha particle scattering and Rutherford’s nuclear model of atom, alpha particle
trajectory, electron orbits, atomic spectra, spectral series, Bohr model of the hydrogen atom,
energy levels, Franck – Hertz experiment, the line spectra of the hydrogen atom, deBroglie’s
explanation of Bohr’s second postulate of quantization, LASER light.
28. NUCLEI: Atomic masses and composition of nucleus, discovery of neutron, size of the
nucleus, Mass - Energy, Nuclear Binding Energy, Binding energy of Nuecleon and its variation
with Mass Number, Nuclear Force, Radioactivity (alpha, beta and gamma particles and their
properties), Law of radioactive decay, half life and mean life of a Radioactive material, Nuclear
Energy, Fission, Nuclear reactor, nuclear fusion, energy generation in stars, controlled
thermonuclear fusion.
29. SEMICONDUCTOR ELECTRONICS: MATERIALS, DEVICES AND SIMPLE
CIRCUITS: Classification of metals, conductors, and semiconductors on the basis of
conductivity and energy bands, Band theory of solids, Intrinsic semiconductor, Extrinsic
semiconductor, p-type semiconductor, n-type semiconductor, p-n junction, forward bias, reverse
bias, Semiconductor diode, Application of junction diode as a rectifier, Zener Diode, Zener
Diode as a voltage regulator, Optoelectronic junction devices, Photodiode, light emitting diode,
solar cell. Junction transistor, structure and action, Basic transistor circuit configurations and
transistor characteristics, transistor as a switch and as an amplifier (CE – Configuration),
Feedback amplifier and transistor oscillator, Digital Electronics and Logic gates, NOT, OR,
AND, NAND and NOR Gates, Integrated circuits.
30. COMMUNICATION SYSTEMS: Elements of a Communication system, basic
terminology used in electronic communication systems, bandwidth of signals, bandwidth of
transmission medium, propagation of electromagnetic waves, ground waves, sky waves, space
wave, modulation and its necessity, size of the antenna or aerial, effective power radiated by an
antenna, mixing up of signals from different transmitters, amplitude modulation, production of
amplitude modulated wave, detection of amplitude modulated wave.
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CHEMISTRY
Unit-1: ATOMIC STRUCTURE: Developments to the Bohr’s model of atom; Wave nature of
electromagnetic radiation; Particle nature of electromagnetic radiation, Planck’ s quantum
theory; Evidence for the quantized electronic Energy levels : Atomic spectra, Bohr’s model for
Hydrogen atom; Explanation of line spectrum of hydrogen; Limitations of Bohr’s model;
Quantum mechanical considerations of sub atomic particles; Dual behaviour of matter;
Heisenberg’s uncertainty principle; Quantum mechanical model of an atom. Important features
of Quantum mechanical model of atom; Orbitals and quantum numbers; Shapes of atomic
orbitals; Energies of orbitals; Filling of orbitals inatoms. Aufbau Principle, Pauli’s exclusion
Principle and Hund’s rule of maximum multiplicity; Electronic configurations of atoms;
Stability of half-filled and completely filled orbitals.
Unit-2: CLASSIFICATION OF ELEMENTS AND PERIODICITY IN PROPERTIES:
Modern periodic law and present form of the periodic table; Nomenclature of elements with
atomic number greater than100;Electronic configuration of elements and the periodic table;
Electronic configuration and types of elements s,p,d. and f blocks; Trends in physical
properties:(a) Atomic radius, (b) Ionic radius (c) Variation of size in inner transition elements,
(d) Ionization enthalpy,(e) Electron gain enthalpy, (f) Electro negativity; Periodic trends in
chemical properties: (a) Periodicity of Valence or Oxidation states, (b) Anomalous properties of
second period elements –diagonal relationship; Periodic trends and chemical reactivity.
Unit-3: CHEMICAL BONDING AND MOLECULAR STRUCTURE: Kossel - Lewis
approach to chemical bonding, Octet rule, Lewis representation of simple molecules, formal
charges, limitations of octet rule; Ionic or electrovalent bond - Factors favourable for the
formation of ionic compounds- Crystal structure of sodium chloride, Lattice Enthalpy: General
properties of ionic compounds; Bond Parameters - bond length ,bond angle, and bond enthalpy,
bond order, resonance-Polarity of bonds dipole moment-Fajan rules; Valence Shell Electron Pair
Repulsion (VSEPR) theory; Predicting the geometry of simple molecules; Valence bond theory-
Orbital overlap concept-Directional properties of bonds-overlapping of atomic orbitals- types of
overlapping and nature of covalent bonds-strength of sigma and pi bonds-Factors favouring the
formation of covalent bonds; Hybridisation- different types of hybridization involving s,p and d
orbitals- shapes of simple covalent molecules; Coordinate bond - definition with examples;
Molecular orbital theory - Formation of molecular orbitals, Linear combination of atomic
orbitals(LCAO)-conditions for combination of atomic orbitals-, Types of Molecular orbitals,
Energy level diagrams for molecular orbitals -, Electronic Configuration and Molecular
Behaviour, Bonding in some homo nuclear diatomic molecules- H2, He2, Li2, B2, C2, N2 and
O2; Hydrogen bonding-cause of formation of hydrogen bond - Types of hydrogen bonds-inter
and intra molecular-General properties of hydrogen bonds.
Unit-4: STATES OF MATTER: GASES AND LIQUIDS: Intermolecular forces; Thermal
Energy; Intermolecular forces Vs Thermal interactions; The Gaseous State; The Gas Laws;
Ideal gas equation; Graham’s law of diffusion - Dalton’s Law of partial pressures; Kinetic
molecular theory of gases; Kinetic gas equation of an ideal gas (No derivation) deduction of gas
laws from Kinetic gas equation;; Behaviour of real gases - Deviation from Ideal gas behaviour -
Compressibility factor Vs Pressure diagrams of real gases;
Unit-5: STOICHIOMETRY: Laws of Chemical Combinations - Law of Conservation of
Mass, Law of Definite Proportions, Law of Multiple Proportions, Atomic and molecular
masses- mole concept and molar mass. Concept of equivalent weight; Percentage composition
of compounds and calculations of empirical and molecular formulae of compounds;
Stoichiometry and stoichiometric calculations- limiting reagent; Methods of Expressing
concentrations of solutions- mass percent, mole fraction, molarity, molality and normality;
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Redox reactions-classical idea of redox reactions, oxidation and reduction reactions- redox
reactions in terms of electron transfer; Oxidation number concept; Types of Redox reactions-
combination, decomposition, displacement and disproportionation reactions; Balancing of redox
reactions-oxidation number method Half reaction (ion-electron) method;
Unit-6: THERMODYNAMICS: Thermodynamic Terms; The system and the surroundings;
Types of systems and surroundings; The state of the system; The Internal Energy as a State
Function. (a)Work (b) Heat (c) The general case, the first law of Thermodynamics;
Applications; Work; Enthalpy, H- a useful new state function; Extensive and intensive
properties; The relationship between Cp and Cv; Measurement of∆U and ∆H: Calorimetry;
Enthalpy change, ∆rH of reactions- reaction Enthalpy (a) Standard enthalpy of reactions, (b)
Enthalpy changes during transformations, (c) Standard enthalpy of formation, (d) Thermo
chemical equations (e) Hess’s law of constant Heat summation; Enthalpies for different types of
reactions. (a) Standard enthalpy of combustion (∆cH0), (b) Enthalpy of atomization (∆aH0),
phase transition, sublimation and ionization, (c) Bond Enthalpy (∆bondH0), (d) Enthalpy of
solution (∆solH0) and dilution-lattice enthalpy; Spontaneity. (a) Is decrease in enthalpy a
criterion for spontaneity? (b) Entropy and spontaneity, the second law of thermodynamics, (c)
Gibbs Energy and spontaneity; Absolute entropy and the third law of thermodynamics.
Unit-7: CHEMICAL EQUILIBRIUM AND ACIDS-BASES: Equilibrium in Physical
process; Equilibrium in chemical process - Dynamic Equilibrium; Law of chemical Equilibrium
- Law of mass action and Equilibrium constant; Homogeneous Equilibria, Equilibrium constant
in gaseous systems. Relationship between KP and Kc; Heterogeneous Equilibria; Applications of
Equilibrium constant; Relationship between Equilibrium constant K, reaction quotient Q and
Gibbs energy G; Factors affecting Equilibria.-Le-chatlier principle application to industrial
synthesis of Ammonia and Sulphur trioxide; Ionic Equilibrium in solutions; Acids, bases and
salts- Arrhenius, Bronsted-Lowry and Lewis concepts of acids and bases; Ionisation of Acids
and Bases - Ionisation constant of water and its ionic product- Ph scale-ionisation constants of
weak acids-ionisation of weak bases-relation between Ka and Kb-Di and poly basic acids and di
and poly acidic Bases-Factors affecting acid strength- Common 0ion effect in the ionization of
acids and bases- Buffer solutions (only definition) - Solubility Equilibria of sparingly soluble
salts. Solubility product constant Common ion effect on solubility of Ionic salts.
Unit-8: HYDROGEN AND ITS COMPOUNDS: Position of hydrogen in the periodic table;
Dihydrogen-Occurrence and Isotopes; Hydrides: Ionic, covalent, and non-stoichiometric
hydrides;Water: Physical properties; structure of water, ice. Chemical properties of water; hard
and soft water, Temporary and permanent hardness of water; Heavy Water; Hydrogen as a fuel.
Unit-9: THE s-BLOCK ELEMENTS (ALKALI AND ALKALINE EARTH METALS):
Group 1 Elements :Alkali metals; Electronic configurations; Atomic and Ionic radii;
Ionization enthalpy; Hydration enthalpy; Physical properties; Chemical properties; Uses;
General characteristics of the compounds of the alkali metals: Oxides; Halides; Salts of oxo
Acids; Anomalous properties of Lithium: Differences and similarities with other alkali metals,
Diagonal relationship; similarities between Lithium and Magnesium; Some important
compounds of Sodium: Sodium Chloride
Group 2 Elements: Alkaline earth elements; Electronic configuration; Ionization enthalpy;
Hydration enthalpy; Physical properties, Chemical properties; Uses; General characteristics of
compounds of the Alkaline Earth Metals: Oxides, hydroxides, halides, salts of oxy acids
(Carbonates; Sulphates and Nitrates); Anomalous behavior of Beryllium; its diagonal
relationship with Aluminium; Some important compounds of calcium: Preparation and uses of
Calcium Hydroxide, Plaster of Paris; Cement;
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Unit-10: p- BLOCK ELEMENTS GROUP 13 (BORON FAMILY): General introduction –
Electronic configuration, Atomic radii, Ionization enthalpy, Electro negativity; Physical &
Chemical properties (Note: Aluminum reactivity towards acids & alkalies is deleted) Important
trends and anomalous properties of boron; Uses of boron, aluminium and their compounds.
Uni-11: p-BLOCK ELEMENTS - GROUP 14 (CARBON FAMILY): General introduction
– Electronic configuration, Atomic radii, Ionization enthalpy, Electro negativity; Physical &
Chemical properties; Important trends and anomalous properties of carbon; Allotropes of
carbon; Uses of carbon;
Unit-12: ORGANIC CHEMISTRY-SOME BASIC PRINCIPLES AND TECHNIQUES
AND HYDRO CARBONS: General introduction; Tetravalency of Carbon: shapes of organic
compounds; Structural representations of organic compounds; Classification of organic
compounds; Nomenclature of organic compounds; Isomerism; Fundamental concepts in organic
reaction mechanisms; Fission of covalent bond; Nucleophiles and electrophiles; Electron
movements in organic reactions; Electron displacement effects in covalent bonds: inductive
effect, resonance, resonance effect, electromeric effect, hyper conjugation; Types of Organic
reactions;
Hydrocarbons: Classification of Hydrocarbons; Alkanes - Nomenclature, isomerism
(structural and conformations of ethane only); Preparation of alkanes; Properties - Physical
properties and chemical Reactivity, Substitution reactions – Halogenation (free radical
mechanism is deleted), Controlled Oxidation, Isomerisation, Aromatization, and reaction with
steam; Alkenes- Nomenclature, structure of ethene, Isomerism (structural and geometrical);
Methods of preparation;Properties-Physical and chemical reactions: Addition of dihydrogen,
halogen, water, sulphuric acid, Hydrogenhalides (Mechanism- ionic and peroxide effect,
Markovnikov’s, anti-Markovnikov’s or Kharascheffect). Oxidation, Ozonolysis and
Polymerization; Alkynes - Nomenclature and isomerism, structure of acetylene. Methods of
preparation of acetylene; Physical properties, Chemical reactions- acidic character of alkyne,
addition reactions-of hydrogen, Halogen, Hydrogen halides and water. Polymerization;
Aromatic Hydrocarbons: Nomenclature and isomerism, Structure of benzene, Resonance and
aromaticity; Preparation of benzene. Physical properties. Chemical properties: Mechanism of
electrophilic substitution. Electrophilic substitution reactions- Nitration, Sulphonation,
Halogenation, Friedel-Craft’s alkylation and acylation; Directive influence of functional groups
in mono substituted benzene, Carcinogenicity and toxicity.
Unit-13: SOLID STATE: General characteristics of solid state; Amorphous and crystalline
solids; Classification of crystalline solids based on different binding forces (molecular, ionic,
metallic and covalent solids); Probing the structure of solids: X-ray crystallography; Crystal
lattices and unit cells. Bravais lattices primitive and centered unit cells; Number of atoms in a
unit cell (primitive, body centered and face centered cubic unit cell);Close packed structures:
Close packing in one dimension, in two dimensions and in three dimensions- tetrahedral and
octahedral voids- formula of a compound and number of voids filled- locating tetrahedral and
octahedral voids; Packing efficiency in simple cubic, bcc and in hcp, ccp lattice; Calculations
involving unit cell dimensions-density of the unit cell; Imperfections in solids-types of point
defects-stoichiometric and non-stoichiometric defects; Electrical properties-conduction of
electricity in metals, semiconductors and insulators- band theory of metals; Magnetic properties
Unit-14: SOLUTIONS: Types of solutions; Expressing concentration of solutions-mass
percentage, volume percentage, mass by volume percentage, parts per million, mole fraction,
molarity and molality; Solubility: Solubility of a solid in a liquid, solubility of a gas in a liquid,
Henry’s law; Vapour pressure of liquid solutions: vapour pressure of liquid- liquid solutions.
Raoult’s law as a special case of Henry’s law -vapour pressure of solutions of solids in liquids;
Ideal and non-ideal solutions; Colligative properties and determination of molar mass-relative
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lowering of vapour pressure-elevation of boiling point-depression of freezing point-osmosis and
osmotic pressure-reverse osmosis and water purification; Abnormal molar masses-van’t Hoff
factor
Unit-15: ELECTROCHEMISTRY AND CHEMICAL KINETICS:
Electrochemistry: Electrochemical cells; Galvanic cells: measurement of electrode potentials;
Nernst equation- equilibrium constant from Nernst equation- electrochemical cell and Gibbs
energy of the cell reaction; Conductance of electrolytic solutions-measurement of the
conductivity of ionic solutions-variation of conductivity and molar conductivity with
concentration-strong electrolytes and weak electrolytes-applications of Kohlrausch’s law;
Electrolytic cells and electrolysis: Faraday’s laws of electrolysis-products of electrolysis;
Batteries: primary batteries and secondary batteries, Fuel cells, Corrosion of metals-Hydrogen
economy.
Chemical Kinetics: Rate of a chemical reaction; Factors influencing rate of a reaction:
dependence of rate on concentration- rate expression and rate constant-order of a reaction,
molecularity of a reaction; Integrated rate equations-zero order reactions-first order reactions-
half-life of a reaction; Pseudo first order reactions;Temperature dependence of the rate of a
reaction -effect of catalyst; Collision theory of chemical reaction rates
Unit-16: SURFACE CHEMISTRY: Adsorption: Distinction between adsorption and
absorption-mechanism of adsorption- types of adsorption- characteristics of physisorption-
characteristics of chemisorption- adsorption isotherms- adsorption from solution phase-
applications of adsorption;
Catalysis: Catalysts, promoters and poisons-autocatalysis- homogeneous and heterogeneous
catalysis-adsorption theory of heterogeneous catalysis- important features of solid catalysts:
(a)activity (b)selectivity- shape-selective catalysis by zeolites- enzyme catalysis-characteristics
and mechanism- catalysts in industry
Colloids: Classification of colloids: Classification based on physical state of dispersed phase
and dispersion medium-classification based on nature of interaction between dispersed phase
and dispersion medium- classification based on type of particles of the dispersed phase-
multimolecular, macromolecular and associated colloids-cleansing action of soaps-preparation
of colloids-purification of colloidal solutions- properties of colloidal solutions:Colligative
properties, Tyndal effect, colour, Brownian movement-charge on colloidal particles,
electrophoresis; coagulation-precipitation methods-coagulation of lyophilic sols and protection
of colloids- Emulsions; Colloids around us-application of colloids.
Unit-17: GENERAL PRINCIPLES OF METALLURGY: Occurance of metals;
Concentration of ores- levigation, magnetic separation, froth floatation leaching; Extraction of
crude metal from concentrated ore-conversion to oxide, reduction of oxide to the metal;
Thermodynamic principles of metallurgy-Ellingham diagram-limitations- applications-
extraction of iron, copper and zinc from their oxides; Electrochemical principles of metallurgy;
Oxidation and reduction; Refining of crude metal-distillation, liquation poling, electrolysis,
zone refining and vapour phase refining; Uses of aluminium, copper, zinc and iron
Unit-18: p-BLOCK ELEMENTS: Group-15 Elements: Occurrence-electronic configuration,
atomic and ionic radii, ionization enthalpy, electro negativity, physical and chemical properties;
Dinitrogen-preparation, properties and uses; Compounds of nitrogen-preparation, properties and
uses of ammonia; Oxides of nitrogen; Preparation and properties of nitric acid;
Phosphorous-allotropic forms; Phosphine- preparation and properties; Phosphorous halides;
Oxoacids of phosphorous; Phosphorous halides & Oxo acids of phosphorous
Group-16 Elements: Occurrence-electronic configuration, atomic andionic radii, ionization
enthalpy, electron gain enthalpy, electro negativity, physical and chemical properties;
Dioxygen-preparation, properties and uses; Simple oxides; Ozone-preparation, properties,
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structure and uses; Sulphur-allotropic forms; Sulphur dioxide-preparation, properties and uses;
Oxoacids of sulphur; Sulphuric acid-industrial process of manufacture, properties and uses.
Group-17 Elements: Occurrence, electronic configuration, atomic and ionic radii, ionization
enthalpy,electron gain enthalpy, electronegativity, physical and chemical properties; Chlorine-
preparation, properties and uses; Hydrogen chloride- preparation, properties and uses; Oxoacids
of halogens; Interhalogen compounds-preparation, properties and uses.
Group-18 Elements: Occurrence, electronic configuration, ionization enthalpy, atomic radii,
electron gain enthalpy, physical and chemical properties(a) Xenon-fluorine compounds-
XeF2,XeF4 and XeF6 -preparation, hydrolysis and formation of fluoro anions-structures of XeF2,
XeF4 and XeF6 (b) Xenon-oxygen compounds XeO3and XeOF4 -their formation and structures-
uses of noble gases.
Unit-19: d AND f BLOCK ELEMENTS & COORDINATION COMPOUNDS: d and f
block elements: Position in the periodic table; Electronic configuration of the d-block elements;
General properties of the transition elements (d-block) -physical properties, variation in atomic
and ionic sizes of transition series, ionization enthalpies, oxidation states, trends in the M²+/M
and M³+/M²+ standard electrode potentials, trends in stability of higher oxidation states, chemical
reactivity and Eθ values, magnetic properties, formation of coloured ions, formation of
complex compounds, catalytic properties, formation of interstitial compounds, alloy formation;
Some important compounds of transition elements-oxides and oxoanions of metals-uses of
potassium dichromate and potassium permanganate-structures of chromate, dichromate,
manganate and permanganate ions; Inner transition elements(f-block)-lanthanoids-electronic
configuration-atomic and ionic sizes-oxidation states- general characteristics; The Actinoids-
electronic configurations, ionic sizes, oxidation states, general characteristics and comparson
with lanthanoids; Some applications of d and f block elements.
Coordination compounds: Werner’s theory of coordination compounds; Definitions of some
terms used in coordination compounds; Nomenclature of coordination compounds-IUPAC
nomenclature;
Isomerism in coordination compounds-(a)Stereo isomerism- Geometrical and optical isomerism
(b)Structural isomerism- linkage, coordination, ionization and solvate isomerism
Bonding in coordination compounds. (a)Valence bond theory - magnetic properties of
coordination compounds-limitations of valence bond theory (b) Crystal field theory (i) Crystal
field splitting in octahedral and tetrahedral coordination entities (ii) Colour in coordination
compounds- limitations of crystal field theory; Bonding in metal carbonyls; Stability of
coordination compounds; Importance and applications of coordination compounds.
Unit-20: POLYMERS: Classification of Polymers -Classification based on source, structure,
mode of polymerization, molecular forces and growth polymerization; Types of polymerization
reactions- addition polymerization or chain growth polymerization- Ionic polymerization, free
radical mechanism-preparation of addition polymers- polythene, teflon and poly acrylonitrile-
condensation polymerization or step growth polymerization-polyamides- preparation of Nylon
6,6 and nylon 6-polyesters- terylene- bakelite, melamine, formaldehyde polymer-
copolymerization- Rubber- natural rubber-vulcanisation of rubber-Synthetic rubbers-
preparation of neoprene and buna-N; Molecular mass of polymers-number average and weight
average molecular masses- poly dispersity index(PDI); Biodegradable polymers- poly β-
Hydroxy butyrate-Co β-Hydroxy Velarate (PHBV), Nylon 2-nylon 6; Polymers of commercial
importance- poly propene, polystyrene, poly vinyl chloride(PVC), urea- formaldehyde resin,
glyptal, bakelite- their monomers, structures and uses
Unit-21: BIOMOLECULES: Carbohydrates- Classification of carbohydrates -
Monosaccharides: preparation of glucose from sucrose and starch-Properties and structure of
glucose-D, L configurations and (+), (-) configurations of glucose-Structure of fructose;
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Disaccharides: Sucrose- preparation, structure; Invert sugar- Structures of maltose and lactose-
Polysaccharides: Structures of starch, cellulose and glycogen- Importance of carbohydrates;
Amino acids: Natural amino acids-classification of amino acids-structures and D and L forms-
Zwitterions; Proteins-Structures, classification, fibrous and globular- primary, secondary, tertiary
and quarternary structures of proteins- Denaturation of proteins;
Enzymes: Enzymes, mechanism of enzyme action; Vitamins: Explanation-names-
classification of vitamins - sources of vitamins-deficiency diseases of different types of
vitamins; Nucleic acids: chemical composition of nucleic acids, structures of nucleic acids,
DNA fingerprinting biological functions of nucleic acids;
Hormones: Definition, different types of hormones, their production, biological activity,
diseases due to their abnormal activities.
Unit-22: CHEMISTRY IN EVERYDAYLIFE- Drugs and their classification: (a)
Classification of drugs on the basis of pharmocological effect (b) Classification of drugs on the
basis of drug action (c) Classification of drugs on the basis of chemical structure (d)
Classification of drugs on the basis of molecular targets; Drug-Target interaction-Enzymes as
drug targets (a) Catalytic action of enzymes (b) Drug-enzyme interaction Receptors as drug
targets; Therapeutic action of different classes of drugs: antacids, antihistamines, neurologically
active drugs: tranquilizers, analgesics– non- narcotic, narcotic analgesics, antimicrobials-
antibiotics, antiseptics and disinfectants-antifertility drugs; Chemicals in food- artificial
sweetening agents, food preservatives, antioxidants in food; Cleansing agents-soaps and
synthetic detergents
Unit-23:HALO ALKANES AND HALO ARENES:Classification and nomenclature; Nature
of C-X bond; Methods of preparation: Alkylhalides and arylhalides-from alcohols, from
hydrocarbons (a) by free radical halogenation (b) by electrophilic substitution (c) by replacement
of diazonium group (Sandmeyer reaction) (d) by the addition of hydrogen halides and halogens
to alkenes-by halogen exchange reactions (Finkelstein reaction); Physical properties-melting and
boiling points, density and solubility; Chemical reactions: Reactions of haloalkanes (i)
Nucleophilic substitution reactions (a) SN² mechanism (b) SN¹mechanism (c) stereo chemical
aspects of nucleophilic substitution reactions-optical activity (ii) Elimination reactions (iii)
Reaction with metals-Reactions of haloarenes: (i) Nucleophilic substitution (ii) Electrophilic
substitution and (iii) Reaction with metals;
Polyhalogen compounds: Uses and environmental effects of dichloro methane,
trichloromethane, triiodomethane, tetrachloro methane, freons and DDT
Unit-24: ORGANIC COMPOUNDS CONTAINING C,H AND O (ALCOHOLS,
PHENOLS, ETHERS, ALDEHYDES, KETONES AND CARBOXYLICACIDS):
Alcohols, Phenols and Ethers: Alcohols, phenols and ethers-classification; Nomenclature:
(a)Alcohols, (b) phenols and (c) ethers; Structures of hydroxy and ether functional groups;
Methods of preparation: Alcohols from alkenes and carbonyl compounds, from Grignard
reagents; Phenols from haloarenes, benzene sulphonic acid, diazonium salts, cumene; Physical
properties of alcohols and phenols; Chemical reactions of alcohols and phenols (i) Reactions
involving cleavage of O-H bond in alcohols-Acidity of alcohols and phenols, esterification (ii)
Reactions involving cleavage of C-O bond-reactions with HX, PX3, dehydration and oxidation
(iii) Reactions of phenols-electrophilic aromatic substitution, Kolbe’s reaction, Reimer -
Tiemann reaction, reaction with zinc dust, oxidation;
Commercially important alcohols (methanol, ethanol)
Ethers-Methods of preparation: By dehydration of alcohols, Williamson synthesis-Physical
properties-Chemical reactions: Cleavage of C-O bond and electrophilic substitution of aromatic
ethers (anisole).
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Aldehydes and Ketones: Nomenclature and structure of carbonyl group; Preparation of
aldehydes and ketones-(1) by oxidation of alcohols (2) by dehydrogenation of alcohols (3) from
hydrocarbons -Preparation of aldehydes (1) from acylchlorides (2) from nitriles and esters (3)
from hydrocarbons-Preparation of ketones (1)from acylchlorides (2) from nitriles (3) from
benzene or substituted benzenes; Physical properties of aldehydes and ketones; Chemical
reactions of aldehydes and ketones-nucleophilic addition, reduction, oxidation, reactions due to
α-Hydrogen and other reactions (Cannizzaro reaction, electrophilic substitution reaction);Uses
of aldehydes and ketones.
Carboxylicacids: Nomenclature and structure of carboxyl group; Methods of preparation of
carboxylic acids (1) from primary alcohols and aldehydes (2) from alkyl benzenes (3) from
nitriles and amides (4) from Grignard reagents (5) from acyl halides and anhydrides (6) from
esters; Physical properties; Chemical reactions: (i) Reactions involving cleavage of O-H bond-
acidity, reactions with metals and alkalies (ii) Reactions involving cleavage of C-OH bond-
formation of anhydride, reactions with PCl5, PCl3, SOCl2, esterification and reaction with
ammonia (iii) Reactions involving-COOH group-reduction, decarboxylation (iv) Substitution
reactions in the hydrocarbon part-halogenation and ring substitution; Uses of carboxylic acids.
Unit-25: ORGANIC COMPOUNDS CONTAINING NITROGEN:
Amines: Structure of amines; Classification; Nomenclature; Preparation of amines: reduction of
nitro compounds, ammonolysis of alkylhalides, reduction of nitriles, reduction of amides,
Gabriel phthalimide synthesis and Hoffmann bromamide degradation reaction; Physical
properties; Chemical reactions: basic character of amines, alkylation, acylation, carbyl amine
reaction, reaction with nitrous acid, reaction with aryl sulphonyl chloride, electrophilic
substitution of aromatic amines (aniline)-bromination, nitration and sulphonation.
DIAZONIUM SALTS- Methods of preparation of diazonium salts (by diazotization); Physical
properties; Chemical reactions: Reactions involving displacement of Nitrogen, reactions
involving retention of di azo group –coupling reactions; Importance of diazonium salts in
synthesis of aromatic compounds
Cyanides and Isocyanides:
Structure and nomenclature of cyanides and isocyanides; Preparation, physical properties and
chemical reactions of cyanides and isocyanide