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JOINT ENTRANCE EXAMINATION (JEEMAIN) Syllabus
Kindly Note : TestBag now has exclusive microsite for JEE(MAIN). Please click on jeemain.testbag.com for one stop on everything about JEE(MAIN). MATHEMATICS Unit 6: Binomial Theorem And Its Simple Applications: Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications. Unit 7: Sequences And Series: Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: Sn, Sn2, Sn3. Arithmetico  Geometric progression. Unit 8: Limit, Continuity And Differentiability: Real  valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse 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. Rolles and Lagranges 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. Unit 9: Integral Calculus: Integral 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. Evaluation of simple integrals of the type 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. UNIT 10: Differential Equations: 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 of the type: dy  + p (x) y = q (x) dx Unit 11: CoOrdinate Geometry: Cartesian system of rectangular coordinates 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. Straight lines 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. UNIT 12: 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. UNIT 13: Vector Algebra: 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. Unit 14: 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, Bayes theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution. UNIT 15: Trigonometry: Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances. Unit 16: Mathematical Reasoning: Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive. PHYSICS The syllabus contains two Sections  A and B. Section  A pertains to the Theory Part having 80% weightage, while Section  B contains Practical Component (Experimental Skills) having 20% weightage. SECTION A UNIT 1: PHYSICS AND MEASUREMENT Physics, technology and society, S I units, Fundamental and derived units. Least count, accuracy and precision of measuring instruments, Errors in measurement, Significant figures. Dimensions of Physical quantities, dimensional analysis and its applications. UNIT 2: KINEMATICS Frame of reference. Motion in a straight line: Positiontime graph, speed and velocity. Uniform and nonuniform motion, average speed and instantaneous velocity Uniformly accelerated motion, velocitytime, positiontime 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. UNIT 3: LAWS OF MOTION Force and Inertia, Newtons First Law of motion; Momentum, Newtons Second Law of motion; Impulse; Newtons Third Law of motion. Law of conservation of linear momentum and its applications, Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion: Centripetal force and its applications. UNIT 4: WORK, ENERGY AND POWER Work done by a 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. UNIT 5: ROTATIONAL MOTION Centre of mass of a twoparticle 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. UNIT 6: GRAVITATION The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Keplers laws of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geostationary satellites. UNIT 7: PROPERTIES OF SOLIDS AND LIQUIDS Elastic behaviour, Stressstrain relationship, Hookes Law, Youngs modulus, bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascals law and its applications. Viscosity, Stokes law, terminal velocity, streamline and turbulent flow, Reynolds number. Bernoullis 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 transferconduction, convection and radiation, Newtons law of cooling. UNIT 8: THERMODYNAMICS 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. UNIT 9: 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, Avogadros number. UNIT 10: OSCILLATIONS AND WAVES Periodic motion  period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase; oscillations of a spring  restoring force and force constant; energy in S.H.M.  kinetic and potential energies; Simple pendulum  derivation of expression for its time period; Free, forced and damped oscillations, resonance. Wave motion. Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound UNIT 11: ELECTROSTATICS Electric charges: Conservation of charge, Coulombs lawforces 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, Gausss 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. UNIT 12: CURRENT ELECTRICITY Electric current, Drift velocity, Ohms law, Electrical resistance, Resistances of different materials, VI 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. Kirchhoffs laws and their applications. Wheatstone bridge, Metre bridge. Potentiometer  principle and its applications. UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM Biot  Savart law and its application to current carrying circular loop. Amperes 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 currentcarrying conductor in a uniform magnetic field. Force between two parallel currentcarrying conductorsdefinition 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; Earths magnetic field and magnetic elements. Para, dia and ferro magnetic substances. Magnetic susceptibility and permeability, Hysteresis, Electromagnets and permanent magnets. UNIT 14: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS Electromagnetic induction; Faradays law, induced emf and current; Lenzs Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and rms value of alternating current/ voltage; reactance and impedance; LCR series circuit, resonance; Quality factor, power in AC circuits, wattless current. AC generator and transformer. UNIT 15: ELECTROMAGNETIC WAVES Electromagnetic waves and their characteristics. Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays). Applications of e.m. waves. UNIT 16: OPTICS Reflection and refraction of light at plane and spherical surfaces, mirror formula, Total internal reflection and its applications, Deviation and Dispersion of light by a prism, Lens Formula, Magnification, Power of a Lens, Combination of thin lenses in contact, Microscope and Astronomical Telescope (reflecting and refracting) and their magnifying powers. Wave optics: wavefront and Huygens principle, Laws of reflection and refraction using Huygens principle. Interference, Youngs 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; Brewsters law, uses of plane polarized light and Polaroids. UNIT 17: DUAL NATURE OF MATTER AND RADIATION Dual nature of radiation. Photoelectric effect, Hertz and Lenards observations; Einsteins photoelectric equation; particle nature of light. Matter waveswave nature of particle, de Broglie relation. DavissonGermer experiment. UNIT 18: ATOMS AND NUCLEI Alphaparticle scattering experiment; Rutherfords model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivityalpha, beta and gamma particles/rays and their properties; radioactive decay law. Massenergy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion. UNIT 19: ELECTRONIC DEVICES Semiconductors; semiconductor diode: IV characteristics in forward and reverse bias; diode as a rectifier; IV 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. UNIT 20: COMMUNICATION SYSTEMS Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation, Need for modulation, Amplitude and Frequency Modulation, Bandwidth of signals, Bandwidth of Transmission medium, Basic Elements of a Communication System (Block Diagram only). SECTIONB UNIT 21: EXPERIMENTAL SKILLS Familiarity with the basic approach and observations of the experiments and activities: 1. Vernier callipersits use to measure internal and external diameter and depth of a vessel. 2. Screw gaugeits use to determine thickness/diameter of thin sheet/wire. 3. Simple Pendulumdissipation of energy by plotting a graph between square of amplitude and time. 4. Metre Scale  mass of a given object by principle of moments. 5. Youngs modulus of elasticity of the material of a metallic wire. 6. Surface tension of water by capillary rise and effect of detergents. 7. Coefficient of Viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body. 8. Plotting a cooling curve for the relationship between the temperature of a hot body and time. 9. Speed of sound in air at room temperature using a resonance tube. 10. Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures. 11. Resistivity of the material of a given wire using metre bridge. 12. Resistance of a given wire using Ohms law. 13. Potentiometer Ã¢â‚â€œ (i) Comparison of emf of two primary cells. (ii) Determination of internal resistance of a cell. 14. Resistance and figure of merit of a galvanometer by half deflection method. 15. Focal length of: (i) Convex mirror (ii) Concave mirror, and (iii) Convex lens 16. using parallax method. Plot of angle of deviation vs angle of incidence for a triangular prism. 17. Refractive index of a glass slab using a travelling microscope. 18. Characteristic curves of a pn junction diode in forward and reverse bias. 19. Characteristic curves of a Zener diode and finding reverse break down voltage. 20. Characteristic curves of a transistor and finding current gain and voltage gain. 21. Identification of Diode, LED, Transistor, IC, Resistor, Capacitor from mixed collection of such items. 22. Using multimeter to: (i) Identify base of a transistor (ii) Distinguish between npn and pnp type transistor (iii) See the unidirectional flow of current in case of a diode and an LED. (iv) Check the correctness or otherwise of a given electronic component (diode, transistor or IC). CHEMISTRY SECTIONA PHYSICAL CHEMISTRY UNIT 1: SOME BASIC CONCEPTS IN CHEMISTRY Matter and its nature, Daltons atomic theory; Concept of atom, molecule, element and compound; Physical quantities and their measurements in Chemistry, precision and accuracy, significant figures, S.I. Units, dimensional analysis; Laws of chemical combination; Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae; Chemical equations and stoichiometry. UNIT 2: States of Matter Classification of matter into solid, liquid and gaseous states. Gaseous State: Measurable properties of gases; Gas laws  Boyles law, Charles law, Grahams law of diffusion, Avogadros law, Daltons 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, van der Waals equation, liquefaction of gases, critical constants. Liquid State: Properties of liquids  vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only). Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Braggs Law and its applications; Unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, imperfection in solids; Electrical, magnetic and dielectric properties. UNIT 3: Atomic Structure Discovery of subatomic particles (electron, proton and neutron); 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 Bohrs model; Dual nature of matter, deBroglies relationship, Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanical model of atom, its important features, * and *2, concept of atomic orbitals as one electron wave functions; Variation of * and * 2 with r for 1s and 2s orbitals; various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their significance; shapes of s, p and d  orbitals, electron spin and spin quantum number; Rules for filling electrons in orbitals Ã¢â‚â€œ aufbau principle, Paulis exclusion principle and Hunds rule, electronic configuration of elements, extra stability of halffilled and completely filled orbitals. UNIT 4: 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, Fajans 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 pibonds, 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. UNIT 5: CHEMICAL THERMODYNAMICS 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; Hesss 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; DS of the universe and DG of the system as criteria for spontaneity, DGo (Standard Gibbs energy change) and equilibrium constant. UNIT 6: SOLUTIONS Different methods for expressing concentration of solution  molality, molarity, mole fraction, percentage (by volume and mass both), vapour pressure of solutions and Raoults Law  Ideal and nonideal solutions, vapour pressure  composition, plots for ideal and nonideal 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, Vant Hoff factor and its significance. UNIT 7: EQUILIBRIUM Meaning of equilibrium, concept of dynamic equilibrium. Equilibria involving physical processes: Solid liquid, liquid  gas and solid  gas equilibria, Henrys law, general characterics of equilibrium involving physical processes. Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, significance of DG and DGo in chemical equilibria, factors affecting equilibrium concentration, pressure, temperature, effect of catalyst; Le Chateliers principle. Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Br?nsted  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. UNIT 8: REDOX REACTIONS AND ELECTROCHEMISTRY Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions. Eectrolytic and metallic conduction, conductance in electrolytic solutions, specific and molar conductivities and their variation with concentration: Kohlrauschs 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; Corrosion and its prevention. UNIT 9: CHEMICAL KINETICS Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first order reactions, their characteristics and half  lives, effect of temperature on rate of reactions  Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation). UNIT 10: SURFACE CHEMISTRY Adsorption Physisorption and chemisorption and their characteristics, factors affecting adsorption of gases on solids  Freundlich and Langmuir adsorption isotherms, adsorption from solutions. Catalysis  Homogeneous and heterogeneous, activity and selectivity of solid catalysts, enzyme catalysis and its mechanism. Colloidal state  distinction among true solutions, colloids and suspensions, classification of colloids  lyophilic, lyophobic; 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. SECTIONB INORGANIC CHEMISTRY UNIT 11: CLASSIFICATON OF ELEMENTS AND PERIODICITY IN PROPERTIES Modem periodic law and present form of the periodic table, s, p, d and f block elements, periodic trends in properties of elements¬atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states and chemical reactivity. UNIT 12: GENERAL PRINCIPLES AND PROCESSES OF ISOLATION OF METALS Modes of occurrence of elements in nature, minerals, ores; steps involved in the extraction of metals  concentration, reduction (chemical. and electrolytic methods) and refining with special reference to the extraction of Al, Cu, Zn and Fe; Thermodynamic and electrochemical principles involved in the extraction of metals. UNIT 13: HYDROGEN Position of hydrogen in periodic table, isotopes, preparation, properties and uses of hydrogen; Physical and chemical properties of water and heavy water; Structure, preparation, reactions and uses of hydrogen peroxide; Classification of hydrides  ionic, covalent and interstitial; Hydrogen as a fuel. UNIT 14: S  BLOCK ELEMENTS (ALKALI AND ALKALINE EARTH METALS) Group  1 and 2 Elements General introduction, electronic configuration and general trends in physical and chemical properties of elements, anomalous properties of the first element of each group, diagonal relationships. Preparation and properties of some important compounds  sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogen carbonate; Industrial uses of lime, limestone, Plaster of Paris and cement; Biological significance of Na, K, Mg and Ca. UNIT 15: P  BLOCK ELEMENTS Group  13 to Group 18 Elements General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behaviour of the first element in each group. Groupwise study of the p block elements Group  13 Preparation, properties and uses of boron and aluminium; Structure, properties and uses of borax, boric acid, diborane, boron trifluoride, aluminium chloride and alums. Group  14 Tendency for catenation; Structure, properties and uses of allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites and silicones. Group  15 Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure and uses of ammonia, nitric acid, phosphine and phosphorus halides, (PCl3, PCl5); Structures of oxides and oxoacids of nitrogen and phosphorus. Group  16 Preparation, properties, structures and uses of dioxygen and ozone; Allotropic forms of sulphur; Preparation, properties, structures and uses of sulphur dioxide, sulphuric acid (including its industrial preparation); Structures of oxoacids of sulphur. Group  17 Preparation, properties and uses of chlorine and hydrochloric acid; Trends in the acidic nature of hydrogen halides; Structures of Interhalogen compounds and oxides and oxoacids of halogens. Group 18 Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon. UNIT 16:BLOCK ELEMENTS Transition Elements General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first row transition elements  physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties and uses of K2Cr2O7 and KMnO4. Inner Transition Elements Lanthanoids  Electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction. Actinoids  Electronic configuration and oxidation states. UNIT 17: COORDINATION COMPOUNDS Introduction to coordination compounds, Werners theory; ligands, coordination number, denticity, chelation; IUPAC nomenclature of mononuclear coordination compounds, isomerism; BondingValence 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). UNIT 18: ENVIRONMENTAL CHEMISTRY Environmental pollution  Atmospheric, water and soil. Atmospheric pollution  Tropospheric and stratospheric Tropospheric pollutants  Gaseous pollutants: Oxides of carbon, nitrogen and sulphur, hydrocarbons; their sources, harmful effects and prevention; Green house 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. SectionC ORGANIC CHEMISTRY UNIT 19: Purification and Characterisation of Organic Compounds Purification  Crystallization, sublimation, distillation, differential extraction and chromatography  principles and their applications. Qualitative analysis  Detection of nitrogen, sulphur, phosphorus and halogens. Quantitative analysis (basic principles only)  Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus. Calculations of empirical formulae and molecular formulae; Numerical problems in organic quantitative analysis. UNIT 20: SOME BASIC PRINCIPLES OF ORGANIC CHEMISTRY Tetravalency of carbon; Shapes of simple molecules  hybridization (s and p); Classification of organic compounds based on functional groups:  C = C  ,  C  C  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. UNIT 21: Hydrocarbons 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 (Markownikoffs and peroxide effect); Ozonolysis, oxidation, 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 Crafts alkylation and acylation, directive influence of functional group in monosubstituted benzene. UNIT 22: ORGANIC COMPOUNDS CONTAINING HALOGENS General methods of preparation, properties and reactions; Nature of CX bond; Mechanisms of substitution reactions. Uses; Environmental effects of chloroform, iodoform, freons and DDT. UNIT 23: Organic compounds containing Oxygen General methods of preparation, properties, reactions and uses. ALCOHOLS, PHENOLS AND ETHERS Alcohols: Identification of primary, secondary and tertiary alcohols; mechanism of dehydration. Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration and sulphonation, Reimer  Tiemann reaction. Ethers: Structure. Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as  Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of ?  hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones. CARBOXYLIC ACIDS Acidic strength and factors affecting it. UNIT 24: Organic Compounds Containing Nitrogen General methods of preparation, properties, reactions and uses. Amines: Nomenclature, classification, structure, basic character and identification of primary, secondary and tertiary amines and their basic character. Diazonium Salts: Importance in synthetic organic chemistry. UNIT 25: Polymers General introduction and classification of polymers, general methods of polymerization  addition and condensation, copolymerization; Natural and synthetic rubber and vulcanization; some important polymers with emphasis on their monomers and uses  polythene, nylon, polyester and bakelite. UNIT 26: Bio Molecules General introduction and importance of biomolecules. CARBOHYDRATES  Classification: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosacchorides (sucrose, lactose, maltose) and polysaccharides (starch, cellulose, glycogen). PROTEINS  Elementary Idea of ?  amino acids, peptide bond, polypeptides; Proteins: primary, secondary, tertiary and quaternary structure (qualitative idea only), denaturation of proteins, enzymes. VITAMINS  Classification and functions. NUCLEIC ACIDS  Chemical constitution of DNA and RNA. Biological functions of nucleic acids. UNIT 27: Chemistry in everyday life Chemicals in medicines  Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamins  their meaning and common examples. Chemicals in food  Preservatives, artificial sweetening agents  common examples. Cleansing agents  Soaps and detergents, cleansing action. UNIT 28: principles related to practical Chemistry Detection of extra elements (N,S, halogens) in organic 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: Mohrs salt, potash alum. Organic compounds: Acetanilide, pnitroacetanilide, aniline yellow, iodoform. Chemistry involved in the titrimetric excercises  Acids bases and the use of indicators, oxalicacid vs KMnO4, Mohrs salt vs Chemical principles involved in the qualitative salt analysis: Cations  Pb2+ , Cu2+, AI3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+. Anions CO32, S2, SO42, NO2, NO3, CI, 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. SYLLABUS FOR APTITUDE TEST B.ARCH./B.PLANNING Part I Awareness of persons, places, Buildings, Materials.) Objects, Texture related to Architecture and build~ environment. Visualising three dimensional objects from two dimensional drawings. Visualising. different sides of three dimensional objects. Analytical Reasoning Mental Ability (Visual, Numerical and Verbal). Part II Three dimensional  perception: Understanding and appreciation of scale and proportion of objects, building forms and elements, colour texture, harmony and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2 D and 3 D union, substraction, rotation, development of surfaces and volumes, Generation of Plan, elevations and 3 D views of objects. Creating two dimensional and three dimensional compositions using given shapes and forms. Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces etc.), landscape (river fronts, jungles. gardens, trees, plants etc.) and rural life.
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JOINT ENTRANCE EXAMINATION (JEEMAIN) Syllabus
Kindly Note : TestBag now has exclusive microsite for JEE(MAIN). Please click on jeemain.testbag.com for one stop on everything about JEE(MAIN). MATHEMATICS Unit 6: Binomial Theorem And Its Simple Applications: Binomial theorem for a positive integral index, general term and middle term, properties of Binomial coefficients and simple applications. Unit 7: Sequences And Series: Arithmetic and Geometric progressions, insertion of arithmetic, geometric means between two given numbers. Relation between A.M. and G.M. Sum upto n terms of special series: Sn, Sn2, Sn3. Arithmetico  Geometric progression. Unit 8: Limit, Continuity And Differentiability: Real  valued functions, algebra of functions, polynomials, rational, trigonometric, logarithmic and exponential functions, inverse 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. Rolles and Lagranges 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. Unit 9: Integral Calculus: Integral 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. Evaluation of simple integrals of the type 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. UNIT 10: Differential Equations: 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 of the type: dy  + p (x) y = q (x) dx Unit 11: CoOrdinate Geometry: Cartesian system of rectangular coordinates 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. Straight lines 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. UNIT 12: 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. UNIT 13: Vector Algebra: 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. Unit 14: 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, Bayes theorem, probability distribution of a random variate, Bernoulli trials and Binomial distribution. UNIT 15: Trigonometry: Trigonometrical identities and equations. Trigonometrical functions. Inverse trigonometrical functions and their properties. Heights and Distances. Unit 16: Mathematical Reasoning: Statements, logical operations and, or, implies, implied by, if and only if. Understanding of tautology, contradiction, converse and contrapositive. PHYSICS The syllabus contains two Sections  A and B. Section  A pertains to the Theory Part having 80% weightage, while Section  B contains Practical Component (Experimental Skills) having 20% weightage. SECTION A UNIT 1: PHYSICS AND MEASUREMENT Physics, technology and society, S I units, Fundamental and derived units. Least count, accuracy and precision of measuring instruments, Errors in measurement, Significant figures. Dimensions of Physical quantities, dimensional analysis and its applications. UNIT 2: KINEMATICS Frame of reference. Motion in a straight line: Positiontime graph, speed and velocity. Uniform and nonuniform motion, average speed and instantaneous velocity Uniformly accelerated motion, velocitytime, positiontime 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. UNIT 3: LAWS OF MOTION Force and Inertia, Newtons First Law of motion; Momentum, Newtons Second Law of motion; Impulse; Newtons Third Law of motion. Law of conservation of linear momentum and its applications, Equilibrium of concurrent forces. Static and Kinetic friction, laws of friction, rolling friction. Dynamics of uniform circular motion: Centripetal force and its applications. UNIT 4: WORK, ENERGY AND POWER Work done by a 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. UNIT 5: ROTATIONAL MOTION Centre of mass of a twoparticle 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. UNIT 6: GRAVITATION The universal law of gravitation. Acceleration due to gravity and its variation with altitude and depth. Keplers laws of planetary motion. Gravitational potential energy; gravitational potential. Escape velocity. Orbital velocity of a satellite. Geostationary satellites. UNIT 7: PROPERTIES OF SOLIDS AND LIQUIDS Elastic behaviour, Stressstrain relationship, Hookes Law, Youngs modulus, bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascals law and its applications. Viscosity, Stokes law, terminal velocity, streamline and turbulent flow, Reynolds number. Bernoullis 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 transferconduction, convection and radiation, Newtons law of cooling. UNIT 8: THERMODYNAMICS 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. UNIT 9: 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, Avogadros number. UNIT 10: OSCILLATIONS AND WAVES Periodic motion  period, frequency, displacement as a function of time. Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase; oscillations of a spring  restoring force and force constant; energy in S.H.M.  kinetic and potential energies; Simple pendulum  derivation of expression for its time period; Free, forced and damped oscillations, resonance. Wave motion. Longitudinal and transverse waves, speed of a wave. Displacement relation for a progressive wave. Principle of superposition of waves, reflection of waves, Standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect in sound UNIT 11: ELECTROSTATICS Electric charges: Conservation of charge, Coulombs lawforces 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, Gausss 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. UNIT 12: CURRENT ELECTRICITY Electric current, Drift velocity, Ohms law, Electrical resistance, Resistances of different materials, VI 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. Kirchhoffs laws and their applications. Wheatstone bridge, Metre bridge. Potentiometer  principle and its applications. UNIT 13: MAGNETIC EFFECTS OF CURRENT AND MAGNETISM Biot  Savart law and its application to current carrying circular loop. Amperes 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 currentcarrying conductor in a uniform magnetic field. Force between two parallel currentcarrying conductorsdefinition 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; Earths magnetic field and magnetic elements. Para, dia and ferro magnetic substances. Magnetic susceptibility and permeability, Hysteresis, Electromagnets and permanent magnets. UNIT 14: ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS Electromagnetic induction; Faradays law, induced emf and current; Lenzs Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and rms value of alternating current/ voltage; reactance and impedance; LCR series circuit, resonance; Quality factor, power in AC circuits, wattless current. AC generator and transformer. UNIT 15: ELECTROMAGNETIC WAVES Electromagnetic waves and their characteristics. Transverse nature of electromagnetic waves. Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, Xrays, gamma rays). Applications of e.m. waves. UNIT 16: OPTICS Reflection and refraction of light at plane and spherical surfaces, mirror formula, Total internal reflection and its applications, Deviation and Dispersion of light by a prism, Lens Formula, Magnification, Power of a Lens, Combination of thin lenses in contact, Microscope and Astronomical Telescope (reflecting and refracting) and their magnifying powers. Wave optics: wavefront and Huygens principle, Laws of reflection and refraction using Huygens principle. Interference, Youngs 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; Brewsters law, uses of plane polarized light and Polaroids. UNIT 17: DUAL NATURE OF MATTER AND RADIATION Dual nature of radiation. Photoelectric effect, Hertz and Lenards observations; Einsteins photoelectric equation; particle nature of light. Matter waveswave nature of particle, de Broglie relation. DavissonGermer experiment. UNIT 18: ATOMS AND NUCLEI Alphaparticle scattering experiment; Rutherfords model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars; isotones. Radioactivityalpha, beta and gamma particles/rays and their properties; radioactive decay law. Massenergy relation, mass defect; binding energy per nucleon and its variation with mass number, nuclear fission and fusion. UNIT 19: ELECTRONIC DEVICES Semiconductors; semiconductor diode: IV characteristics in forward and reverse bias; diode as a rectifier; IV 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. UNIT 20: COMMUNICATION SYSTEMS Propagation of electromagnetic waves in the atmosphere; Sky and space wave propagation, Need for modulation, Amplitude and Frequency Modulation, Bandwidth of signals, Bandwidth of Transmission medium, Basic Elements of a Communication System (Block Diagram only). SECTIONB UNIT 21: EXPERIMENTAL SKILLS Familiarity with the basic approach and observations of the experiments and activities: 1. Vernier callipersits use to measure internal and external diameter and depth of a vessel. 2. Screw gaugeits use to determine thickness/diameter of thin sheet/wire. 3. Simple Pendulumdissipation of energy by plotting a graph between square of amplitude and time. 4. Metre Scale  mass of a given object by principle of moments. 5. Youngs modulus of elasticity of the material of a metallic wire. 6. Surface tension of water by capillary rise and effect of detergents. 7. Coefficient of Viscosity of a given viscous liquid by measuring terminal velocity of a given spherical body. 8. Plotting a cooling curve for the relationship between the temperature of a hot body and time. 9. Speed of sound in air at room temperature using a resonance tube. 10. Specific heat capacity of a given (i) solid and (ii) liquid by method of mixtures. 11. Resistivity of the material of a given wire using metre bridge. 12. Resistance of a given wire using Ohms law. 13. Potentiometer Ã¢â‚â€œ (i) Comparison of emf of two primary cells. (ii) Determination of internal resistance of a cell. 14. Resistance and figure of merit of a galvanometer by half deflection method. 15. Focal length of: (i) Convex mirror (ii) Concave mirror, and (iii) Convex lens 16. using parallax method. Plot of angle of deviation vs angle of incidence for a triangular prism. 17. Refractive index of a glass slab using a travelling microscope. 18. Characteristic curves of a pn junction diode in forward and reverse bias. 19. Characteristic curves of a Zener diode and finding reverse break down voltage. 20. Characteristic curves of a transistor and finding current gain and voltage gain. 21. Identification of Diode, LED, Transistor, IC, Resistor, Capacitor from mixed collection of such items. 22. Using multimeter to: (i) Identify base of a transistor (ii) Distinguish between npn and pnp type transistor (iii) See the unidirectional flow of current in case of a diode and an LED. (iv) Check the correctness or otherwise of a given electronic component (diode, transistor or IC). CHEMISTRY SECTIONA PHYSICAL CHEMISTRY UNIT 1: SOME BASIC CONCEPTS IN CHEMISTRY Matter and its nature, Daltons atomic theory; Concept of atom, molecule, element and compound; Physical quantities and their measurements in Chemistry, precision and accuracy, significant figures, S.I. Units, dimensional analysis; Laws of chemical combination; Atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae; Chemical equations and stoichiometry. UNIT 2: States of Matter Classification of matter into solid, liquid and gaseous states. Gaseous State: Measurable properties of gases; Gas laws  Boyles law, Charles law, Grahams law of diffusion, Avogadros law, Daltons 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, van der Waals equation, liquefaction of gases, critical constants. Liquid State: Properties of liquids  vapour pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only). Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Braggs Law and its applications; Unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, imperfection in solids; Electrical, magnetic and dielectric properties. UNIT 3: Atomic Structure Discovery of subatomic particles (electron, proton and neutron); 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 Bohrs model; Dual nature of matter, deBroglies relationship, Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanical model of atom, its important features, * and *2, concept of atomic orbitals as one electron wave functions; Variation of * and * 2 with r for 1s and 2s orbitals; various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their significance; shapes of s, p and d  orbitals, electron spin and spin quantum number; Rules for filling electrons in orbitals Ã¢â‚â€œ aufbau principle, Paulis exclusion principle and Hunds rule, electronic configuration of elements, extra stability of halffilled and completely filled orbitals. UNIT 4: 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, Fajans 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 pibonds, 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. UNIT 5: CHEMICAL THERMODYNAMICS 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; Hesss 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; DS of the universe and DG of the system as criteria for spontaneity, DGo (Standard Gibbs energy change) and equilibrium constant. UNIT 6: SOLUTIONS Different methods for expressing concentration of solution  molality, molarity, mole fraction, percentage (by volume and mass both), vapour pressure of solutions and Raoults Law  Ideal and nonideal solutions, vapour pressure  composition, plots for ideal and nonideal 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, Vant Hoff factor and its significance. UNIT 7: EQUILIBRIUM Meaning of equilibrium, concept of dynamic equilibrium. Equilibria involving physical processes: Solid liquid, liquid  gas and solid  gas equilibria, Henrys law, general characterics of equilibrium involving physical processes. Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, significance of DG and DGo in chemical equilibria, factors affecting equilibrium concentration, pressure, temperature, effect of catalyst; Le Chateliers principle. Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Br?nsted  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. UNIT 8: REDOX REACTIONS AND ELECTROCHEMISTRY Electronic concepts of oxidation and reduction, redox reactions, oxidation number, rules for assigning oxidation number, balancing of redox reactions. Eectrolytic and metallic conduction, conductance in electrolytic solutions, specific and molar conductivities and their variation with concentration: Kohlrauschs 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; Corrosion and its prevention. UNIT 9: CHEMICAL KINETICS Rate of a chemical reaction, factors affecting the rate of reactions: concentration, temperature, pressure and catalyst; elementary and complex reactions, order and molecularity of reactions, rate law, rate constant and its units, differential and integral forms of zero and first order reactions, their characteristics and half  lives, effect of temperature on rate of reactions  Arrhenius theory, activation energy and its calculation, collision theory of bimolecular gaseous reactions (no derivation). UNIT 10: SURFACE CHEMISTRY Adsorption Physisorption and chemisorption and their characteristics, factors affecting adsorption of gases on solids  Freundlich and Langmuir adsorption isotherms, adsorption from solutions. Catalysis  Homogeneous and heterogeneous, activity and selectivity of solid catalysts, enzyme catalysis and its mechanism. Colloidal state  distinction among true solutions, colloids and suspensions, classification of colloids  lyophilic, lyophobic; 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. SECTIONB INORGANIC CHEMISTRY UNIT 11: CLASSIFICATON OF ELEMENTS AND PERIODICITY IN PROPERTIES Modem periodic law and present form of the periodic table, s, p, d and f block elements, periodic trends in properties of elements¬atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states and chemical reactivity. UNIT 12: GENERAL PRINCIPLES AND PROCESSES OF ISOLATION OF METALS Modes of occurrence of elements in nature, minerals, ores; steps involved in the extraction of metals  concentration, reduction (chemical. and electrolytic methods) and refining with special reference to the extraction of Al, Cu, Zn and Fe; Thermodynamic and electrochemical principles involved in the extraction of metals. UNIT 13: HYDROGEN Position of hydrogen in periodic table, isotopes, preparation, properties and uses of hydrogen; Physical and chemical properties of water and heavy water; Structure, preparation, reactions and uses of hydrogen peroxide; Classification of hydrides  ionic, covalent and interstitial; Hydrogen as a fuel. UNIT 14: S  BLOCK ELEMENTS (ALKALI AND ALKALINE EARTH METALS) Group  1 and 2 Elements General introduction, electronic configuration and general trends in physical and chemical properties of elements, anomalous properties of the first element of each group, diagonal relationships. Preparation and properties of some important compounds  sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogen carbonate; Industrial uses of lime, limestone, Plaster of Paris and cement; Biological significance of Na, K, Mg and Ca. UNIT 15: P  BLOCK ELEMENTS Group  13 to Group 18 Elements General Introduction: Electronic configuration and general trends in physical and chemical properties of elements across the periods and down the groups; unique behaviour of the first element in each group. Groupwise study of the p block elements Group  13 Preparation, properties and uses of boron and aluminium; Structure, properties and uses of borax, boric acid, diborane, boron trifluoride, aluminium chloride and alums. Group  14 Tendency for catenation; Structure, properties and uses of allotropes and oxides of carbon, silicon tetrachloride, silicates, zeolites and silicones. Group  15 Properties and uses of nitrogen and phosphorus; Allotrophic forms of phosphorus; Preparation, properties, structure and uses of ammonia, nitric acid, phosphine and phosphorus halides, (PCl3, PCl5); Structures of oxides and oxoacids of nitrogen and phosphorus. Group  16 Preparation, properties, structures and uses of dioxygen and ozone; Allotropic forms of sulphur; Preparation, properties, structures and uses of sulphur dioxide, sulphuric acid (including its industrial preparation); Structures of oxoacids of sulphur. Group  17 Preparation, properties and uses of chlorine and hydrochloric acid; Trends in the acidic nature of hydrogen halides; Structures of Interhalogen compounds and oxides and oxoacids of halogens. Group 18 Occurrence and uses of noble gases; Structures of fluorides and oxides of xenon. UNIT 16:BLOCK ELEMENTS Transition Elements General introduction, electronic configuration, occurrence and characteristics, general trends in properties of the first row transition elements  physical properties, ionization enthalpy, oxidation states, atomic radii, colour, catalytic behaviour, magnetic properties, complex formation, interstitial compounds, alloy formation; Preparation, properties and uses of K2Cr2O7 and KMnO4. Inner Transition Elements Lanthanoids  Electronic configuration, oxidation states, chemical reactivity and lanthanoid contraction. Actinoids  Electronic configuration and oxidation states. UNIT 17: COORDINATION COMPOUNDS Introduction to coordination compounds, Werners theory; ligands, coordination number, denticity, chelation; IUPAC nomenclature of mononuclear coordination compounds, isomerism; BondingValence 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). UNIT 18: ENVIRONMENTAL CHEMISTRY Environmental pollution  Atmospheric, water and soil. Atmospheric pollution  Tropospheric and stratospheric Tropospheric pollutants  Gaseous pollutants: Oxides of carbon, nitrogen and sulphur, hydrocarbons; their sources, harmful effects and prevention; Green house 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. SectionC ORGANIC CHEMISTRY UNIT 19: Purification and Characterisation of Organic Compounds Purification  Crystallization, sublimation, distillation, differential extraction and chromatography  principles and their applications. Qualitative analysis  Detection of nitrogen, sulphur, phosphorus and halogens. Quantitative analysis (basic principles only)  Estimation of carbon, hydrogen, nitrogen, halogens, sulphur, phosphorus. Calculations of empirical formulae and molecular formulae; Numerical problems in organic quantitative analysis. UNIT 20: SOME BASIC PRINCIPLES OF ORGANIC CHEMISTRY Tetravalency of carbon; Shapes of simple molecules  hybridization (s and p); Classification of organic compounds based on functional groups:  C = C  ,  C  C  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. UNIT 21: Hydrocarbons 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 (Markownikoffs and peroxide effect); Ozonolysis, oxidation, 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 Crafts alkylation and acylation, directive influence of functional group in monosubstituted benzene. UNIT 22: ORGANIC COMPOUNDS CONTAINING HALOGENS General methods of preparation, properties and reactions; Nature of CX bond; Mechanisms of substitution reactions. Uses; Environmental effects of chloroform, iodoform, freons and DDT. UNIT 23: Organic compounds containing Oxygen General methods of preparation, properties, reactions and uses. ALCOHOLS, PHENOLS AND ETHERS Alcohols: Identification of primary, secondary and tertiary alcohols; mechanism of dehydration. Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration and sulphonation, Reimer  Tiemann reaction. Ethers: Structure. Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition to >C=O group, relative reactivities of aldehydes and ketones; Important reactions such as  Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of ?  hydrogen, aldol condensation, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones. CARBOXYLIC ACIDS Acidic strength and factors affecting it. UNIT 24: Organic Compounds Containing Nitrogen General methods of preparation, properties, reactions and uses. Amines: Nomenclature, classification, structure, basic character and identification of primary, secondary and tertiary amines and their basic character. Diazonium Salts: Importance in synthetic organic chemistry. UNIT 25: Polymers General introduction and classification of polymers, general methods of polymerization  addition and condensation, copolymerization; Natural and synthetic rubber and vulcanization; some important polymers with emphasis on their monomers and uses  polythene, nylon, polyester and bakelite. UNIT 26: Bio Molecules General introduction and importance of biomolecules. CARBOHYDRATES  Classification: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosacchorides (sucrose, lactose, maltose) and polysaccharides (starch, cellulose, glycogen). PROTEINS  Elementary Idea of ?  amino acids, peptide bond, polypeptides; Proteins: primary, secondary, tertiary and quaternary structure (qualitative idea only), denaturation of proteins, enzymes. VITAMINS  Classification and functions. NUCLEIC ACIDS  Chemical constitution of DNA and RNA. Biological functions of nucleic acids. UNIT 27: Chemistry in everyday life Chemicals in medicines  Analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamins  their meaning and common examples. Chemicals in food  Preservatives, artificial sweetening agents  common examples. Cleansing agents  Soaps and detergents, cleansing action. UNIT 28: principles related to practical Chemistry Detection of extra elements (N,S, halogens) in organic 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: Mohrs salt, potash alum. Organic compounds: Acetanilide, pnitroacetanilide, aniline yellow, iodoform. Chemistry involved in the titrimetric excercises  Acids bases and the use of indicators, oxalicacid vs KMnO4, Mohrs salt vs Chemical principles involved in the qualitative salt analysis: Cations  Pb2+ , Cu2+, AI3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+. Anions CO32, S2, SO42, NO2, NO3, CI, 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. SYLLABUS FOR APTITUDE TEST B.ARCH./B.PLANNING Part I Awareness of persons, places, Buildings, Materials.) Objects, Texture related to Architecture and build~ environment. Visualising three dimensional objects from two dimensional drawings. Visualising. different sides of three dimensional objects. Analytical Reasoning Mental Ability (Visual, Numerical and Verbal). Part II Three dimensional  perception: Understanding and appreciation of scale and proportion of objects, building forms and elements, colour texture, harmony and contrast. Design and drawing of geometrical or abstract shapes and patterns in pencil. Transformation of forms both 2 D and 3 D union, substraction, rotation, development of surfaces and volumes, Generation of Plan, elevations and 3 D views of objects. Creating two dimensional and three dimensional compositions using given shapes and forms. Sketching of scenes and activities from memory of urbanscape (public space, market, festivals, street scenes, monuments, recreational spaces etc.), landscape (river fronts, jungles. gardens, trees, plants etc.) and rural life.
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