AAEEE Exam Syllabus 2020
Syllabus for AAEEE 2020:
The AAEEE 2020 syllabus consists of the PCM portions of class 11 and 12. Further, candidates should prepare according to AAEEE 2020 Exam Pattern as it highlights the questions type, marking scheme and duration of the exam.
Physics:
Units and Measurement
 Units for measurement, the system of unitsS.I., fundamental and derived units, measurementserrors in measurementsignificant figures, dimensionsdimensional analysisapplications.
Mechanics
 Motion in one dimensionuniform and nonuniform motionuniformly accelerated motionscalar and vector quantitiesNewton’s laws of motionforce and inertiaimpulse and momentumlaw of conservation of linear momentumapplicationsmotions in two dimension projectile motionuniform circular motionfrictionlaws of frictionapplications centripetal forcecenter of masstorqueangular momentum and its conservationmoment of inertiatheorems of the moment of inertiaworkenergypotential energy and kinetic energypowercollisionelastic and inelastic collisions.
Gravitation, Mechanics of Solids and Fluids
 The universal law of gravitation, the acceleration due to gravityvariation of ‘g’ with altitude, latitude, and depthgravitation potentialescape velocity and orbital velocity geostationary satellitesKepler’s laws of planetary motion. Solidselastic behavior, stressstrainHooke’s lawModule of elasticityrelation between themsurface tension capillarityapplicationsviscosityPoiseuille’s formulaStokes lawapplicationsstreamline and turbulent owReynolds numberBernoulli’s theorem applications.
Oscillations and Wave Motion
 Periodic motionsimple harmonic motionequations of motionoscillations of springsimple pendulumfree forced and damped oscillationsresonanceapplicationswave motionslongitudinal and transverse wavesvelocity of wave motion in different mediaNewton’s formulaLaplace’s correctionsuper position of wavesprogressive and standing wavessonometerair columnsDoppler effect and its applications.
Heat and Thermodynamics
 Kinetic theory of gasespostulatespressure of a gasspecific heat capacityrelation between Cp and Cvrest law of thermodynamics thermodynamical processesisothermal and adiabaticreversible and irreversible processsecond law of thermodynamicsCarnot’s engineHeat transferconduction convectionradiationthermal conductivity of solidsblack body radiationsKirchoff’s lawWien’s displacement lawStefan’s lawNewton’s law of cooling.
Ray and Wave Optics and Magnetism
 Reflection and refraction of lighttotal internal reactionvelocity of light determinationdeviation and dispersion of light by a prismLens formulamagnificationpower of lenscombination of thin lenses in contactMicroscope Astronomical telescopewavefrontHuygens principlewave nature of lightinterferenceYoung’s double slit experiment diffraction and polarization.
Electricity and Magnetism
 ElectrostaticsCoulomb’s inverse square lawdielectric constantelectric eldelectric lines of forceelectric dipoleelectric potentialpotential differenceelectric fluxGauss theoremelectrostatic inductioncapacitor capacitors in parallel and seriesaction of pointslightning arrester electric currentdrift velocity of electronsOhm’s lawelectrical resistivity and conductivitysuper conductivityKirchoff’s lawWheatstone’s bridgeprinciple of potentiometerelectric powerEarth’s magnetic eld and magnetic elementsmagnetic eld due to a magnetic dipoletorque on a magnetic dipoletangent law tangent galvanometerdeflection magnetometermagnetic properties of a materialdia, para and ferromagnetic materialsapplications.magnetic effects of electric currentBio Savart lawforce on a moving charge in a uniform magnetic fieldmoving coil galvanometerconversion of a galvanometer into voltmeter and ammeterFaraday’s lawLenz law of electromagnetic inductionSelf inductancemutual inductanceFlemming’s righthand rulemethods of inducing and emfeddy current. Alternating currentsLCR series circuitAC generatorTransformer.
Atomic Physics and Relativity
 Atomic structureproperties of cathode rays and positive raysspecific charge of an electronatom modelThomson atom modelRutherford atom modelBohr atom modelmerits and demeritsquantum numbersXraysproductionpropertiesBragg’s lawBragg’ Xray spectrometerPhotoelectric effectlaserspontaneous and stimulated emissionlaser actioncharacteristics of laser lightruby laserapplications of laser relativityEinstein’s massenergy relationvariation of mass with velocity.
Dual Nature of Matter and Nuclear Physics
 Matter waveswave nature of particlesDe Broglie wavelength electron microscope. Nuclear properties; radius, mass, binding energy, density, isotopes, mass defectBainbridge mass spectrometernuclear forces neutron discoveryradioactivity  α, β and γ decayhalf life and mean lifeartificial radio activityradio isotopesradio carbon datingradiation hazards. Nuclear fissionnuclear reactornuclear fusionhydrogen bomb cosmic rayselementary particles.
Electronics and Communication
 SemiconductorsdopingtypesPN junction diodebiasingdiode as a Rectifiertransistorstransistor characteristicsamplifiergainfeedback in amplifierslogic gatesbasic logic gatesNOT, OR, AND, NOR, NANDuniversal gatesDe Morgan’s theoremsspace communication propagation of electromagnetic waves in atmospheresky and space wave propagationmodulation types–demodulationmicrowavesradars.
Chemistry:
Some Basic Concepts in Chemistry
 Matter and its nature, Dalton’s atomic theory; a concept of the 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.
The States of Matter
 Classification of matter into solid, liquid and gaseous states. Solid State: Classification of solids: molecular, ionic, covalent and metallic solids, amorphous and crystalline solids (elementary idea); Bragg’s Law and its applications; unit cell and lattices, packing in solids (fcc, bcc and hcp lattices), voids, calculations involving unit cell parameters, imperfection in solids; electrical, magnetic and dielectric properties. Liquid State: Properties of liquids  vapor pressure, viscosity and surface tension and effect of temperature on them (qualitative treatment only). Gaseous State: Measurable properties of gases; Gas lawsBoyle’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, Vander Waals equation, liquefaction of gases, critical constants.
Chemical Families  Periodic Properties
 Modern periodic law and present form of the periodic table, s&p block elements, periodic trends in properties of elements, atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity. Transition elementsdblock elements, inner transition elementsfblock elements. Ionization energy, lanthanides, and actinidesgeneral characteristics. Coordination Chemistry: Coordination compounds, nomenclature: terminology  Werner’s coordination theory. Applications of coordination compounds.
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 atomits 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, DeBroglie’s relationship, Heisenberg uncertainty principle. Elementary ideas of quantum mechanics, quantum mechanical model of atom, its important features, various quantum numbers (principal, angular momentum and magnetic quantum numbers) and their significance; shapes of s, p and dorbitals, 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 halffilled and completely filled orbitals.
Chemical Bonding and Molecular Structure

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, a 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, a concept of bond order, bond length and bond energy. Elementary idea of metallic bonding. Hydrogen bonding and its applications.

Extractive metallurgy of sodium, lithium, properties of alkali metals, basic nature of oxides and hydroxides, compounds of alkaline earth metals, compounds of boron.

Oxides, carbides, halides, and sulfides of carbon group. Oxidesclassificationacidic, basic, neutral, peroxide and amphoteric oxides.
Chemical Energetics
 First law of thermodynamics, energy changes during a chemical reaction, internal energy and enthalpy, Hess’s law of constant heat summation, numerically based on these
concepts. Enthalpies of reactions (enthalpy of neutralization, enthalpy of combustion, enthalpy of fusion and vaporization).
Chemical Thermodynamics
 The second law of thermodynamics  Spontaneity of processes; ∆S of the universe and ∆G of the system as criteria for spontaneity, ∆Go (Standard Gibbs energy change) and equilibrium constant.
Solutions
 Different methods for expressing the concentration of solutionMolality, molarity, mole fraction, percentage (by volume and mass both), the vapor pressure of solutions and Raoult’s lawideal and nonideal solutions, vapor pressurecomposition plots for ideal and nonideal solutions; colligative properties of dilute solutionsrelative lowering of vapor 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.
Chemical Equilibrium
 Meaning of equilibrium, a concept of dynamic equilibrium. Equilibria involving physical processes: Solidliquid, liquidgas and solidgas equilibria, Henry’s law, Equilibria involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc) and their significance, significance of ,1G and ,1Go 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, BronstedLowry and Lewis) and their ionization, acidbase 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.
Electrochemistry
 Electrolytic and metallic conduction, conductance in electrolytic solutions, specific and molar conductivities and their variation with concentration: Kohlrausch’s law and its applications. Electrochemical cellsElectrolytic and Galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, halfcell and cell reactions, emf of a galvanic cell and its measurement; Nernst equation and its applications; dry cell and lead accumulator; fuel cells; corrosion and its prevention.
Surface Chemistry, Chemical Kinetics, and Catalysis

AdsorptionPhysisorption and chemisorption and their characteristics, factors affecting the adsorption of gases on solidsFreundlich and Langmuir adsorption isotherms, adsorption from solutions. CatalysisHomogeneous and heterogeneous, activity and selectivity of solid catalysts, enzyme catalysis, and its mechanism.

Colloidal stateDistinction among true solutions, colloids, and suspensions, classification of colloidslyophilic, lyophobic; multi molecular, macromolecular and associated colloids (micelles), preparation and properties of colloidsTyndall effect, Brownian movement, electrophoresis, dialysis, coagulation and occultation; emulsions and their characteristics. The rate of reaction, instantaneous rate of reaction and order of reaction. Factors affecting rates of reactions  factors affecting the rate of collisions encountered between the reactant molecules, the effect of temperature on the reaction rate, a concept of activation energy, catalyst. Rate law expression. Order of a reaction (with suitable examples). Units of rates and specific rate constants. Order of reaction and effect of concentration (study will be conned to first order only). Theories of catalysis adsorption theorysome of the important industrial process using catalysts. Nuclear Chemistry: Radioactivity: isotopes and isobars: Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to protonneutron ratio; brief discussion on fission and fusion reactions.
Purification and Characterisation of Organic Compounds
 Purification  Crystallization, sublimation, distillation, differential extraction, and chromatography  principles and their applications. Qualitative analysis  Detection of nitrogen, sulfur, phosphorus, and halogens. Quantitative analysis (basic principles only)  Estimation of carbon, hydrogen, nitrogen, halogens, sulfur, 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 moleculeshybridization (s and p); classification of organic compounds based on functional groups: C=C, CΞC and those containing halogens, oxygen, nitrogen, and sulfur; homologous series; isomerismstructural 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
bondinductive effect, electromeric effect, resonance, and hyperconjugation. Common types of organic reactions  Substitution, addition, elimination, and rearrangement.
Hydrocarbons
 Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties and reactions. AlkanesConformations: Sawhorse and Newman projections (of ethane); mechanism of halogenation of alkanes. AlkenesGeometrical isomerism; mechanism of electrophilic addition: addition of hydrogen, halogens, water, hydrogen halides (Markownikoff’s and peroxide effect); ozonolysis, oxidation, and polymerization. AlkynesAcidic character; the addition of hydrogen, halogens, water and hydrogen halides; polymerization. Aromatic hydrocarbons nomenclature, benzenestructure, and aromaticity; mechanism of electrophilic substitution: halogenation, nitration, FriedelCraft’s alkylation and acylation, directive influence of functional group in monosubstituted benzene.
Organic Compounds Containing Oxygen
 General methods of preparation, properties, reactions, and uses. Alcohols: Distinction of primary, secondary and tertiary alcohols; mechanism of dehydration. Reactions of hydroxyl derivatives. Phenols: Acidic nature, electrophilic substitution reactions: halogenation, nitration, and sulphonation, ReimerTiemann reaction. Addition to >C=O group, relative reactivities of aldehydes and ketones. Ethers: Structure. Aldehyde and Ketones: Nature of carbonyl group; Nucleophilic addition reactions (addition of HCN, NH3, and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of hydrogen, aldol condensations, Cannizzaro reaction, Haloform reaction; Chemical tests to distinguish between aldehydes and Ketones. Carboxylic acids: Reactions, Acidic strength, and factors affecting it; reactions of acid derivatives.
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.
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  polyethylene, nylon, polyester, and bakelite.
Biomolecules
 CarbohydratesClassification: aldoses and ketoses; monosaccharides (glucose and fructose), constituent monosaccharides of oligosaccharides (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.
Chemistry in Everyday Life
 Chemicals in medicinesAnalgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids. Antihistaminestheir meaning and common examples. Chemicals in foodpreservatives, artificial sweetening agentscommon examples. Cleansing agents–Soaps and detergents, cleansing action.
Mathematics:
Sets, Relations, and Functions
 Sets and their representations, union, intersection, and complements of sets and their algebraic properties, relations, equivalence relations, mappings, oneone, into and onto
mappings, the composition of mappings.
Complex Numbers
 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. Cube roots of unity, triangle inequality.
Matrices and Determinants
 Determinants and matrices of order two and three, properties of determinants, evaluation of determinants. Addition and multiplication of matrices, adjoint, and an inverse
of the matrix.
Applications of Matrices and Determinants
 Computing the rank of a matrixtest of consistency and solution of simultaneous linear equations using determinants and matrices.
Quadratic Equations
 Quadratic equations in real and complex number system and their solutions. The relation between roots and coefficients, nature of roots, a formation of quadratic equations with given roots; symmetric functions of roots, equations reducible to quadratic equations.
Permutations and Combinations
 The fundamental principle of counting: permutation as an arrangement and combination as selection, the meaning of P(n,r) and C(n,r). Simple applications.
Mathematical Induction and its Applications
 Stating and interpreting the principle of mathematical induction. Using it to prove formula and facts.
Binomial Theorem and its Applications
 Binomial theorem for a positive integral index; general term and middle term; Binomial theorem for any index. Properties of binomial coefficients. Simple applications for
approximations.
Sequences and Series
 Arithmetic, geometric and harmonic progressions. Insertion of arithmetic, geometric and harmonic means between two given numbers. The relation between A.M., G.M. and H.M. arithmetic, geometric series, exponential and logarithmic series.
Differential Calculus
 Polynomials, rational, trigonometric, logarithmic and exponential functions. Inverse functions. Graphs of simple functions. Limits, continuity, differentiation of the sum, difference, product and quotient of two functions, differentiation of trigonometric, inverse trigonometric, logarithmic, exponential, composite and implicit functions, derivatives of order up to two.
Applications of Differential Calculus
 The rate of change of quantities, monotonic  increasing and decreasing functions, maxima, and minima of functions of one variable, tangents, and normals, Rolle’s and Lagrange’s mean value theorems.
Integral Calculus
 Integral as an antiderivative. 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. Properties of definite integrals. Evaluation of definite integrals; Determining areas of the regions bounded by simple curves.
Differential Equations
 Ordinary differential equations, their order, and degree. Formation of differential equations. A solution of differential equations by the method of separation of variables. Solution of homogeneous and linear differential equations and those of the type d2y / dx2 = f(x).
Straight Lines in Two Dimensions
 Cartesian system of rectangular coordinates in plane, distance formula, area of a triangle, condition for the collinearity of three points and section formula, centroid and incentre of a triangle, 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, the 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, homogeneous equation of second degree in x and y, angle between pair of lines through the origin, combined equation of the bisectors of the angles between a pair of lines, condition for the general second degree equation to represent a pair of lines, point of intersection and angle between two lines.
Circles in Two Dimensions
 Standard form of equation of a circle, general form of the equation of a circle, its radius and centre, equation of a circle in the parametric form, equation of a circle when the endpoints of a diameter are given, points of intersection of a line and a circle with the centre at the origin and condition for a line to be tangent to the circle, length of the tangent, equation of the tangent, equation of a family of circles through the intersection of two circles, condition for two intersecting circles to be orthogonal.
Conic Sections in Two Dimensions
 Sections of cones, equations of conic sections (parabola, ellipse, and hyperbola) in standard form, condition for y = mx+c to be a tangent and point(s) of tangency.
Vector Algebra
 Vectors and scalars, the addition of vectors, components of a vector in two dimensions and threedimensional space, scalar and vector products, scalar and vector triple product. Application of vectors to plane geometry.
Measures of Central Tendency and Dispersion
 Calculation of mean, median, and mode of grouped and ungrouped data. Calculation of standard deviation, variance and mean deviation for grouped and ungrouped data.
Probability
 The probability of an event, addition and multiplication theorems of probability and their applications; Conditional probability; Baye’s theorem, the probability distribution of a random variate; binomial and Poisson distributions and their properties.
Trigonometry
 Trigonometrical identities and equations. Inverse trigonometric functions and their properties. Properties of triangles, including, incentre, circumcenter, and orthocenter, a solution of triangles.