In Group B, it covers the 12th standard CBSE syllabus of the academic year 2018-2019. In this pack, it covers the more than 10000 question from the subject are Mathematics, Physics, Chemistry and Computer Science. and also covers 7000+ MCQ's. Group B package helps your children to success in competitive exams like JEE Main, JEE Advanced, GATE, etc. In this pack, your children can practice through an online test.
Sets, Relations and Functions Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relation
Sets, Relations and Functions
Sets and their representation; Union, intersection and complement of sets and their algebraic properties; Power set; Relation, Types of relations, equivalence relations, functions;, one-one, into and onto functions, composition of functions
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 numbers, 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. Relation between roots and co-efficients, nature of roots, formation of quadratic equations with given roots
Matrices and Determinants
Matrices, algebra of matrices, types 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
Permutations And Combinations
Fundamental principle of counting, permutation as an arrangement and combination as selection, Meaning of P (n,r) and C (n,r), simple applications
Principle of Mathematical Induction and its simple applications
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
Sequences and Series
Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: S n, S n2, Sn3. Arithmetico-Geometric progression
Limit, Continuity and Differentiability
Real - valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse functions. 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 upto two. Rolle's and Lagrange's Mean Value Theorems. Applications of derivatives: Rate of change of quantities, monotonic - increasing and decreasing functions, Maxima and minima of functions of one variable, tangents and normals
ntegral as an anti - derivative. Fundamental integrals involving algebraic, trigonometric, exponential and logarithmic functions. Integration by substitution, by parts and by partial fractions. Integration using trigonometric identities.
Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of definite integrals. Evaluation of definite integrals, determining areas of the regions bounded by simple curves in standard form.
Ordinary differential equations, their order and degree. Formation of differential equations. Solution of differential equations by the method of separation of variables, solution of homogeneous and linear differential equations.
artesian system of rectangular co-ordinates 10 in a plane, distance formula, section formula, locus and its equation, translation of axes, slope of a line, parallel and perpendicular lines, intercepts of a line on the coordinate axes.
Various forms of equations of a line, intersection of lines, angles between two lines, conditions for concurrence of three lines, distance of a point from a line, equations of internal and external bisectors of angles between two lines, coordinates of centroid, orthocentre and circumcentre of a triangle, equation of family of lines passing through the point of intersection of two lines.
Circles, conic sections
Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle when the end points 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 cones, 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.
Three Dimensional Geometry
Coordinates of a point in space, distance between two points, section formula, direction ratios and direction cosines, 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, intersection of a line and a plane, coplanar lines
Vectors and scalars, addition of vectors, components of a vector in two dimensions and three-dimensional space, scalar and vector products, scalar and vector triple product
Statistics and Probability
Measures of Dispersion: 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.
Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances
Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive
Section A – Physical Chemistry Some Basic Concepts in Chemistry Matter and its nature, Dalton's atomic theory; Concept of atom, molecule, e
Section A – Physical Chemistry
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.
States of Matter
Classification of matter into solid, liquid and gaseous states.
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.
Properties of liquids - vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only).
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 (fee, bec and hep lattices), voids, calculations involving unit cell parameters, imperfection in solids; Electrical and magnetic properties.
Thomson and Rutherford atomic models and their limitations; Nature of electromagnetic radiation, photoelectric effect; Spectrum of hydrogen atom, Bohr model of hydrogen atom - its postulates, derivation of the relations for 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 mechanical model of atom, its important features. Concept of atomic orbitals as one electron wave functions; Variation of t|/ and \|/2 with r for Is 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.
Chemical Bonding and Molecular Structure
Kossel - Lewis approach to chemical bond formation, concept of ionic and covalent bonds.
Ionic Bonding: Formation of ionic bonds, factors affecting the formation of ionic bonds; calculation of lattice enthalpy.
Covalent Bonding: Concept of electronegativity, Fajan's rule, dipole moment; Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple molecules.
Quantum mechanical approach to covalent bonding: Valence bond theory - Its important features, concept of hybridization involving s, p and d orbitals; Resonance.
Molecular Orbital Theory - Its important features, LCAOs, types of molecular orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital electronic configurations of homonuclear diatomic molecules, concept of bond order, bond length and bond energy.
Elementary idea of metallic bonding. Hydrogen bonding and its applications.
Fundamentals of thermodynamics: System and surroundings, extensive and intensive properties, state functions, types of processes.
First law of thermodynamics-Concept of work, heat internal energy and enthalpy, heat capacity, molar heat capacity; Hess's law of constant heat summation; Enthalpies of bond dissociation, combustion, formation, atomization, sublimation, phase transition, hydration, ionization and solution.
Second law of thermodynamics-Spontaneity of processes; AS of the universe and AG of the system as criteria for spontaneity, AG" (Standard Gibbs energy change) and equilibrium constant.
Different methods for expressing concentration of solution - molality, molarity, mole fraction, percentage (by volume and mass both), 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 - relative lowering of vapour pressure, depression of freezing point, 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.
Meaning of equilibrium, concept of dynamic equilibrium.
Equilibria involving physical processes: Solid -liquid, liquid - gas and solid - gas equilibria, Henry's law, general characteristics of equilibrium involving physical processes.
Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, significance of AG and AG" in chemical equilibria, factors affecting equilibrium concentration, pressure, temperature, effect of catalyst; Le Chatelier's principle.
Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Bronsted - Lowry and Lewis) and their ionization, acid - base equilibria (including multistage ionization) and ionization constants, ionization of water, pH scale, common ion effect, hydrolysis of salts and pH of their solutions, solubility of sparingly soluble salts and solubility products, buffer solutions.
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.
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, effect of temperature on rate of reactions -Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation).
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; multi molecular, 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
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.
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.
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.
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.
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.
Tendency for catenation; Structure, properties and uses of Allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites and silicones.
Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure and uses of ammonia, nitric acid, phosphine and phosphorus halides, (PC13, PCI,); Structures of oxides and oxoacids of nitrogen and phosphorus.
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.
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.
Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon.
d - and f - Block 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 K2 Cr, 07 and Kmn04.
Inner Transition Elements
Lanthanoids - Electronic configuration, oxidation states and lanthanoid contraction.
Actinoids - Electronic configuration and oxidation states
Introduction to co-ordination compounds, Werner's theory; ligands, coordination number, denticity, chelation; IUPAC nomenclature of mononuclear coordination compounds, isomerism; Bonding-Valence bond approach and basic ideas of Crystal field theory, colour and magnetic properties; Importance of coordination compounds (in qualitative analysis, extraction of metals and in biological systems).
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 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
Purification and Characterization 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.
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 reactions- Substitution, addition, elimination and rearrangement.
Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties and reactions.
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 (Markownikoff s 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 functional group in mono-substituted benzene.
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
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, Reitner - Tiemann reaction.
Aldehyde and Ketones: Nature of carbonyl group;Nucleophilic addition to >C=0 group, relative reactivities of aldehydes and ketones; Important reactions such as - Nucleophilic addition reactions (addition of HCN, NH, and its derivatives), Griguard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of a-hydrogen, aldol condensation, Cannizzaro reaction, Hatoform reaction;
Chemical tests to distinguish between aldehydes and Ketones.
Acidic strength and factors affecting it.
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.
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 - polyethene, nylon, polyester and bakelite.
General introduction and importance of biomolecules.
Carbohydrates - Classification: aldoses and ketoses; monosaccharides (glucose and fructose) and constituent monosaccharides of oligosaccharides (sucrose, lactose and maltose).
Proteins - Elementary Idea of a-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.
Chemistry in Everyday Life
Chemicals in medicines - Analgesics, tranquillizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamines - their meaning and common examples.
Chemicals in food - Preservatives, artificial sweetening agents - common examples.
Cleansing agents - Soaps and detergents, cleansing action.
Principles Related to Practical Chemistry
Detection of extra elements (N,S, halogens) inorganic compounds; Detection of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl and amino groups in organic compounds.
Chemistry involved in the preparation of the following:
Inorganic compounds: Mohr's salt, potash alum. Organic compounds: Acetanilide, pnitroacetanilide, aniline yellow, iodoform.
Chemistry involved in the titrimetric exercises -Acids bases and the use of indicators, oxalic-acid vs KMnO,, Mohr's salt vs KMnO
Chemical principles involved in the qualitative salt analysis:
Cations - Pb2+, Cu!+, Af+, Fe1+, Zn2+, Ni2+, Ca2+, Ba2+,Mg2+, nh
Anions- CO,", S2~, SO4", NO", NO~2, Cf, Br", I" . (Insoluble salts excluded)
Chemical principles involved in the following experiments:
1. Enthalpy of solution of CuSO4
2. Enthalpy of neutralization of strong acid and strong base.
3. Preparation of lyophilic and lyophobic sols.
4. Kinetic study of reaction of iodide ion with hydrogen peroxide at room temperature.
Section A Physics and Measurement Physics, technology and society, S I units, Fundamental and derived units. Least count, accuracy and precision of m
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 Physical quantities, dimensional analysis and its applications
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 graphs, 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.
Laws of Motion
Force and Inertia, Newton's First Law of motion; Momentum, Newton's Second Law of motion; Impulse; 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
Work, Energy and Power
Work done by a constant force and a variable force; kinetic and potential energies, workenergy theorem, power.
Potential energy of a spring, conservation of mechanical energy, conservative and nonconservative forces; Elastic and inelastic collisions in one and two dimensions
Centre of mass of a two-particle system, Centre of mass of a rigid body; Basic concepts of rotational motion; moment of a force, torque, angular momentum, conservation of angular momentum and its applications; moment of inertia, 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
The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth, Kepler's laws of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites
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
Thermal equilibrium, zeroth law of thermodynamics, concept of temperature. Heat, work and internal energy. First law of thermodynamics. Second law of thermodynamics: reversible and irreversible processes. Carnot engine and its efficiency
Kinetic Theory of Gases
Equation of state of a perfect gas, work done on compressing a gas. Kinetic theory of gases -assumptions, 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.
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, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound.
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, combination of capacitors in series and in parallel, capacitance of a parallel plate capacitor with and without dielectric medium between the plates, Energy stored in a capacitor.
Electric current, Drift velocity, Ohm's law, Electrical resistance, Resistances of different materials, V-I characteristics of Ohmic and nonohmic 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, combination of cells in series and in parallel. Kirchhoff's laws and their applications. Wheatstone bridge, Metre bridge. Potentiometer - principle and its applications.
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. Force between two parallel current-carrying conductors-definition of ampere, Torque experienced by a current loop in 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 ferro- magnetic substances.
Magnetic susceptibility and permeability, Hysteresis, Electromagnets and permanent magnets.
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
Electromagnetic waves and their characteristics. Transverse nature of electromagnetic waves.
Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays). Applications of e.m. waves.
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 Huygen's 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, Polarisation, plane polarized light; Brewster's law, uses of plane polarized light and Polaroids.
Dual Nature of Matter and Radiation
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. Davis son-Germer experiment.
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.
Semiconductors; semiconductor diode: I-V characteristics in forward and reverse bias; diode as a rectifier; 1-V characteristics of LED, 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
Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation, Need for modulation, Amplitude and Frequency Modulation, Bandwidth of signals, Bandwidth of Transmission medium, Basic Elements of a Communication System (Block Diagram only).
Familiarity with the basic approach and observations of the experiments and activities:
Electric Charges and Fields Introduction-Electric Charge-Conductors and Insulators-Charging by Induction-Basic Properties of Electric Charge-Coulomb’s Law-Forces betwee
Electric Charges and Fields
Introduction-Electric Charge-Conductors and Insulators-Charging by Induction-Basic Properties of Electric Charge-Coulomb’s Law-Forces between Multiple Charges-Electric Field-Electric Field Lines-Electric Flux-Electric Dipole-Dipole in a Uniform External Field-Continuous Charge Distribution-Gauss’s Law-Applications of Gauss’s Law
Electrostatic Potential and Capacitance
Introduction-Electrostatic Potential-Potential due to a Point Charge-Potential due to an Electric Dipole-Potential due to a System of Charges-Equipotential Surfaces-Potential Energy of a System of Charges-Potential Energy in an External Field-Electrostatics of Conductors-Dielectrics and Polarisation-Capacitors and Capacitance-The Parallel Plate Capacitor-Effect of Dielectric on Capacitance-Combination of Capacitors-Energy Stored in a Capacitor-Van de Graaff Generator
Introduction-Electric Current-Electric Currents in Conductors-Ohm’s law-Drift of Electrons and the Origin of Resistivity-Limitations of Ohm’s Law-Resistivity of Various Materials-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
Moving Charges and Magnetism
Introduction-Magnetic Force-Motion in a Magnetic Field-Motion in Combined Electric and Magnetic Fields-Magnetic Field due to a Current Element, Biot-Savart Law-Magnetic Field on the Axis of a Circular Current Loop-Ampere’s Circuital Law-The Solenoid and the Toroid-Force between Two Parallel Currents, the Ampere-Torque on Current Loop, Magnetic Dipole-The Moving Coil Galvanometer
Magnetism and Matter
Introduction-The Bar Magnet-Magnetism and Gauss’s Law-The Earth’s Magnetism-Magnetisation and Magnetic Intensity-Magnetic Properties of Materials-Permanent Magnets and Electromagnets
Introduction-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-AC Generator
Introduction-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-Power in AC Circuit: The Power Factor-LC Oscillations-Transformers
Introduction-Displacement Current-Electromagnetic Waves-Electromagnetic Spectrum
Ray Optics and Optical Instruments
Introduction-Reflection of Light by Spherical Mirrors-Refraction-Total Internal Reflection-Refraction at Spherical Surfaces and by Lenses-Refraction through a Prism-Dispersion by a Prism-Some Natural Phenomena due to Sunlight-Optical Instruments
Introduction-Huygens Principle-Refraction and Reflection of Plane Waves using Huygens Principle-Coherent and Incoherent Addition of Waves-Interference of Light Waves and Young’s Experiment-Diffraction-Polarisation
Dual Nature of Radiation and Matter
Introduction-Electron Emission-Photoelectric Effect-Experimental Study of Photoelectric Effect-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-Davisson and Germer Experiment
Introduction-Alpha-particle Scattering and Rutherford’s Nuclear Model of Atom-Atomic Spectra-Bohr Model of the Hydrogen Atom-The Line Spectra of the Hydrogen Atom-DE Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
Introduction-Atomic Masses and Composition of Nucleus-Size of the Nucleus-Mass-Energy and Nuclear Binding Energy-Nuclear Force-Radioactivity-Nuclear Energy
Semiconductor Electronics: Materials, Devices and Simple Circuits
Introduction-Classification of Metals, Conductors and Semiconductors-Intrinsic Semiconductor-Extrinsic Semiconductor-p-n Junction-Semiconductor Diode-Application of Junction Diode as a Rectifier-Special Purpose p-n Junction Diodes-Junction Transistor-Digital Electronics and Logic Gates-Integrated Circuits
Introduction-Elements of a Communication System-Basic Terminology Used in Electronic Communication Systems-Bandwidth of Signals-Bandwidth of Transmission Medium-Propagation of Electromagnetic Waves-Modulation and its Necessity-Amplitude Modulation-Production of Amplitude Modulated Wave-Detection of Amplitude Modulated Wave
The Solid State General Characteristics of Solid State-Amorphous and Crystalline Solids-Classification of Crystalline Solids-Crystal Lattices and Unit Cells-Number of Atoms i
The Solid State
General Characteristics of Solid State-Amorphous and Crystalline Solids-Classification of Crystalline Solids-Crystal Lattices and Unit Cells-Number of Atoms in a Unit Cell-Close Packed Structures-Packing Efficiency-Calculations Involving Unit Cell Dimensions-Imperfections in Solids-Electrical Properties-Magnetic Properties-
Types of Solutions-Expressing Concentration of Solutions-Solubility-Vapour Pressure of Liquid Solutions-Ideal and Non-ideal Solutions-Colligative Properties and Determination of Molar Mass-Abnormal Molar Masses-
Electrochemical Cells-Galvanic Cells-Nernst Equation-Conductance of Electrolytic Solutions-Electrolytic Cells and Electrolysis-Batteries-Fuel Cells-Corrosion
Rate of a Chemical Reaction-Factors Influencing Rate of a Reaction-Integrated Rate Equations-Pseudo First Order Reaction-Temperature Dependence of the Rate of a Reaction-Collision Theory of Chemical Reactions
Adsorption-Catalysis-Colloids-Classification of Colloids-Emulsions-Colloids Around Us
General Principles and Processes of Isolation of Elements
Occurrence of Metals-Concentration of Ores-Extraction of Crude Metal from Concentrated Ore-Thermodynamic Principles of Metallurgy-Electrochemical Principles of Metallurgy-Oxidation Reduction-Refining-Uses of Aluminium, Copper, Zinc and Iron
The p-Block Elements
Group 15 Elements-Dinitrogen-Ammonia-Oxides of Nitrogen-Nitric Acid-Phosphorus – Allotropic Forms-Phosphine-Phosphorus Halides-Oxoacids of Phosphorus-Group 16 Elements-Dioxygen-Simple Oxides-Ozone-Sulphur Allotropic Forms-Sulphur Dioxide-Oxoacids of Sulphur-Sulphuric Acid-Group 17 Elements-Chlorine-Hydrogen Chloride-Oxoacids of Halogens-Interhalogen Compounds-Group 18 Elements
The d-and f-Block Elements
Position in the Periodic Table-Electronic Configurations of the d-Block Elements-General Properties of the Transition Elements (d-Block)-Some Important Compounds of Transition Elements-The Lanthanoids-The Actinoids-Some Applications of d-and f-Block Elements
Werner's Theory of Coordination Compounds-Definitions of Some Important Terms Pertaining to Coordination Compounds-Nomenclature of Coordination Compounds-Isomerism in Coordination Compounds-Bonding in Coordination Compounds-Bonding in Metal Carbonyls-Stability of Coordination Compounds-Importance and Applications of Coordination Compounds
Haloalkanes and Haloarenes
Classification-Nomenclature-Nature of C–X Bond-Methods of Preparation of Haloalkanes-Preparation of Haloarenes-Physical Properties-Chemical Reactions
Alcohols, Phenols and Ethers
Classification-Nomenclature-Structures of Functional Groups-Alcohols and Phenols-Some Commercially Important Alcohols-Ethers
Aldehydes, Ketones and Carboxylic Acids
Nomenclature and Structure of Carbonyl Group-Preparation of Aldehydes and Ketones-Physical Properties-Chemical Reactions-Uses of Aldehydes and Ketones-Nomenclature and Structure of Carboxyl Group-Methods of Preparation of Carboxylic Acids-Physical Properties-Chemical Reactions-Uses of Carboxylic Acids
Structure of Amines-Classification-Nomenclature-Preparation of Amines-Physical Properties-Chemical Reactions-Method of Preparation of Diazonium Salts-Physical Properties-Chemical Reactions-Importance of Diazonium Salts in Synthesis of Aromatic Compounds
Classification of Polymers-Types of Polymerisation Reactions-Molecular Mass of Polymers-Biodegradable Polymers-Polymers of Commercial Importance
Chemistry in Everyday Life
Drugs and their Classification-Drug-Target Interaction-Therapeutic Action of Different Classes of Drugs-Chemicals in Food-Cleansing Agents
Relations and Functions Introduction-Types of Relations-Types of Functions-Composition of Functions and Invertible Function-Binary Operations Inverse Trigonom
Relations and Functions
Introduction-Types of Relations-Types of Functions-Composition of Functions and Invertible Function-Binary Operations
Inverse Trigonometric Functions
Introduction-Basic Concepts-Properties of Inverse Trigonometric Functions
Introduction-Matrix-Types of Matrices-Operations on Matrices-Transpose of a Matrix-Symmetric and Skew-Symmetric Matrices-Elementary Operation Transformation of a Matrix-Invertible Matrices
Introduction-Determinant-Properties of Determinants-Area of a Triangle-Minors and Cofactors-Adjoint and Inverse of a Matrix-Applications of Determinants and Matrices
Continuity and Differentiability
Introduction-Continuity-Differentiability-Exponential and Logarithmic Functions-Logarithmic Differentiation-Derivatives of Functions in Parametric Forms-Second Order Derivative-Mean Value Theorem
Application of Derivatives
Introduction-Rate of Change of Quantities-Increasing and Decreasing Functions-Tangents and Normals-Approximations-Maxima and Minima
Introduction-Integration as an Inverse Process of Differentiation-Methods of Integration-Integrals of some Particular Functions-Integration by Partial Fractions-Integration by Parts-Definite Integral-Fundamental Theorem of Calculus-Evaluation of Definite Integrals by Substitution-Some Properties of Definite Integrals
Application of Integrals
Introduction-Area under Simple Curves-Area between Two Curves
Introduction-Basic Concepts-General and Particular Solutions of a Differential Equation-Formation of a Differential Equation whose General Solution is given-Methods of Solving First order, First Degree Differential Equations
Introduction-Some Basic Concepts-Types of Vectors-Addition of Vectors-Multiplication of a Vector by a Scalar-Product of Two Vectors
Three Dimensional Geometry
Introduction-Direction Cosines and Direction Ratios of a Line-Equation of a Line in Space-Angle between Two Lines-Shortest Distance between Two Lines-Plane-Coplanarity of Two Lines-Angle between Two Planes-Distance of a Point from a Plane-Angle between a Line and a Plane
Introduction-Linear Programming Problem and its Mathematical Formulation-Different Types of Linear Programming Problems
Introduction-Conditional Probability-Multiplication Theorem on Probability-Independent Events-Baye’s Theorem-Random Variables and its Probability Distributions-Bernoulli Trials and Binomial Distribution
Unit-1: Review of Python & Concept of Oops Review of Python Introduction-Operators and Operands-Input and Output-Parameters and Arguments-Flow of Execution-String-S
Unit-1: Review of Python & Concept of Oops
Review of Python
Introduction-Operators and Operands-Input and Output-Parameters and Arguments-Flow of Execution-String-Strings Operations-List-Dictionaries-Dictionary methods-Tuples
Concept of Object Oriented Programming
Introduction-Basic Concepts of Object-Oriented Programming-Object-Classes-Encapsulation-Data Hiding-Data Abstraction-Inheritance-Polymorphism-Static and Dynamic Binding-Advantages of OOP
Classes in Python
Introduction-Namespaces-Scope Rules-LEGB Rule-Defining Classes-Importance of self-Class instances (Objects)-Class Attributes v/s Instance Attributes-Instances attributes-Adding methods dynamically-Accessing Attributes and methods-Accessing Methods-Built in class attributes-Private Members-Limited Support-Data Hiding-Static methods-Destroying Objects (Garbage Collection)
Introduction-Method I-Method II-Multiple Inheritance-Overriding Methods-Abstract Methods
Unit-2: Advanced Programming with Python
Linear List Manipulation
Introduction-Data Structures-Implementation of List in memory-Sequential Memory Allocation-List Operations-Traversal in a List-Insertion of an element in a sorted list-Searching Techniques-Sorting a list
Stacks and Queues in List
Introduction-Stack-Push Operation-Pop Operation-Traversal in a stack-Program to implement stack (without classes)-Program to implement a stack(Using classes)-Expression-Conversion of an infix expression to postfix expression-Evaluation of Postfix Expression-Queue-Queue operations
Data File Handling
Introduction-File access modes-Let's walk through the code
Exception Handling & Generator Functions
Introduction-Generator Functions-Advantages of using generator
Unit-3: Database Management Systems and SQL
Database Concepts and SQL
Introduction-Relational data model-Relation-Domain-Tuple-Key-Degree-Cardinality-Candidate Key-Structured Query Language(SQL)-Types of SQL Statements-Data Definition Language (DDL) Statements-Data Manipulation Language (DML) Statements-Data Types-Character-Numeric data type-DATE-Relational Algebra-Selection-Projection-Union-Cartesian product
Chapter-2: Structure Query Language
Introduction-Constrains-INSERT INTO Command-SELECT Command-Operators used in SQL commands-LIKE OPERATOR-IN Operator-Aggregate functions-GROUP BY-DISTINCT-UPDATE Command-DELETE Command-ALTER TABLE command-DROP TABLE Command-Equi Join-SQL Non-equijoins
Unit-4: Introduction to Boolean Algebra
Introduction-Identity-Commutative-Distributive-Complement-Idempotency-Null Element-Involution-Associative-Absorption-De Morgan's Theorem-Algebraic Representation-Truth Table representation-Associative
Boolean Functions & Reduce Forms
Introduction-Karnaugh Map (K-map)-Drawing K-map-Filling the K-map-Grouping the minterms-Reading the reduced expression from K-map
Application of Boolean Logic
Introduction-Boolean Expression through Logic gates-How to get a Boolean expression for a Logic Circuit-Realization of all functions using NAND gate-Realization of logic functions using NOR gate
Unit-5: Communication Technologies
Networking Concepts – I
What is a network?-Need for networking-Evolution of Networking-Inter space-Requirements of a Network-Network Terminologies-Switching Techniques-Types of Networks-Data Communication Terminologies-Data Transfer rate
Networking Concepts – II
Introduction-Transmission Medium-Wired Transmission Media-Wireless Transmission Media-Network Topologies-Bus Topology-Star Topology-Tree Topology-Network Devices-Modem-RJ 45-Ethernet Card-Switch-Repeater-Routers-Gateway-Wi Fi Card
Introduction-Network Protocols-File Transfer protocol-HyperText Transfer Protocol-Point to Point Protocol-E-Mail Protocols-Remote Access Protocol-Chat Protocol and VOIP-VOIP
Mobile Telecommunication Technologies, (Network Security and Internet Services)
Introduction-Mobile Telecommunication Technologies-1G Mobile Systems-FDMA-CDMA-TDMA-2G Mobile System-3G Mobile System-4G Mobile System-Network Security Concepts-Virus-Types of Viruses-Worm-Trojan horse-Spam-Cookies-Firewall-Cyber Crime-Cyber Law-Some of the CYBER OFFENCES UNDER THE IT ACT-Intellectual property rights (IPR) Issues-Hacking-Introduction to Web Services-WWW (World Wide Web)-Web page-Dynamic web pages support two types of scripting-Website-Web browser-URL (Uniform resource locator)-Network Protocol-URL Host/Server-URL Resource Location-Web Server-Web hosting-Web 2.0