PART – I – PHYSICS
1. Laws of Motion & Work, Energy and Power
2. Properties of Matter
3. Electrostatics
4. Current Electricity
5. Magnetic Effects of Electric Current
6. Electromagnetic Induction and Alternating Current
7. Optics
8. Dual Nature of Radiation and Atomic Physics
9. Nuclear Physics
10. Semiconductor Devices and their Applications
PART – II – CHEMISTRY
1. Atomic Structure
2. p,d and f – Block Elements
3. Coordination Chemistry and Solid State Chemistry
4. Thermodynamics, Chemical Equilibrium and Chemical Kinetics
5. Electrochemistry
6. Isomerism in Organic Compounds
7. Alcohols and Ethers
8. Carbonyl Compounds
9. Carboxylic Acids and their derivatives
10. Organic Nitrogen Compounds and Biomolecules
PART – III – MATHEMATICS
1. Matrices and their Applications
2. Trigonometry and Complex Numbers
3. Analytical Geometry of two dimensions
4. Vector Algebra
5. Analytical Geometry of Three Dimensions
6. Differential Calculus
7. Integral Calculus and its Applications
8. Differential Equations
9. Probability Distributions
10. Discrete Mathematics
PART – IV- BIOLOGY
1. Taxonomy
2. Cell and Molecular Biology
3. Reproduction
4. Genetics and evolution
5. Human health and diseases
6. Biochemistry
7. Plant physiology
8. Human physiology
9. Biotechnology and its applications
10. Biodiversity, ecology and environment
VITEEE – ENGLISH
1. Question Nos. 121 to 125 are questions on English and they will be Multiple Choice Questions
2. Question No. 121, 122 and 123 are Comprehension questions. They are based on short passages (30 -50 words) or lines of poems (2 -3) or a dialogue (2 exchanges)
3. Question No. 124 and 125 are based on English Grammar and Pronunciation.
Free | ____ | |
VITEEE Preparatory Course |
Rs. 1790 |
Rs. 2090 |
VITEEE Model Papers |
Rs. 1090 |
Rs. 1390 |
VITEEE Preparatory Course |
Rs. 1790 |
Rs. 2090 |
VITEEE Model Papers |
Rs. 1090 |
Rs. 1390 |
VITEEE Physics Syllabus
1. Laws of Motion & Work, Energy and Power
Law of conservation of linear momentum and its applications.Static and kinetic friction – laws of friction – rolling friction -lubrication.
Work done by a constant force and a variable force; kineticenergy – work-energy theorem – power.
Conservative forces: conservation of mechanical energy (kineticand potential energies) – non-conservative forces: motion in avertical circle – elastic and inelastic collisions in one and twodimensions.
2. Properties of Matter
Elastic behaviour – Stress-strain relationship – Hooke’s law -Young’s modulus – bulk modulus – shear modulus of rigidity -Poisson’s ratio – elastic energy. Viscosity – Stokes’ law – terminalvelocity – streamline and turbulent flow – critical velocity.Bernoulli’s theorem and its applications.
Heat – temperature – thermal expansion: thermal expansion ofsolids – specific heat capacity: Cp, Cv – latent heat capacity.Qualitative ideas of Blackbody radiation: Wein’s displacementLaw – Stefan’s law.
3. Electrostatics
Charges and their conservation; Coulomb’s law-forces betweentwo point electric charges – Forces between multiple electriccharges-superposition principle. Electric field – electric field dueto a point charge, electric field lines; electric dipole, electricfield intensity due to a dipole – behaviour of a dipole in a uniformelectric field. Electric potential – potential difference-electricpotential due to a point charge and dipole-equipotential surfaces– electrical potential energy of a system of two point charges.
Electric flux-Gauss’s theorem and its applications. Electrostaticinduction-capacitor and capacitance – dielectric and electricpolarisation – parallel plate capacitor with and without dielectricmedium – applications of capacitor – energy stored in a capacitor- Capacitors in series and in parallel – action of points – Van deGraaff generator.
4. Current Electricity
Electric Current – flow of charges in a metallic conductor – driftvelocity and mobility and their relation with electric current.Ohm’s law, electrical resistance – V-I characteristics – electricalresistivity and conductivity-classification of materials in termsof conductivity – Carbon resistors – colour code for carbonresistors – combination of resistors – series and parallel –temperature dependence of resistance – internal resistance ofa cell – potential difference and emf of a cell – combinations ofcells in series and in parallel.
Kirchoff ’s law – Wheatstone’s Bridge and its application fortemperature coefficient of resistance measurement -Me t re br i dge – sp ec i a l cas e o f Wheats to n e br i dge -Potentiometer principle – comparing the emf of two cells.
5. Magnetic Effects of Electric Current
Magnetic effect of electric current – Concept of magnetic field- Oersted’s experiment – Biot – Savart law – Magnetic field dueto an infinitely long current carrying straight wire and circularcoil – Tangent galvanometer – construction and working – Barmagnet as an equivalent solenoid – magnetic field lines.
Ampere’s circuital law and its application. Force on a movingcharge in uniform magnetic field and electric field – cyclotron –Force on current carrying conductor in a uniform magnetic field– Forces between two parallel current carrying conductors -definition of ampere.
Torque experienced by a current loop in a uniform magneticfield – moving coil galvanometer – conversion to ammeter andvoltmeter – current loop as a magnetic dipole and its magneticdipole moment – Magnetic dipole moment of a revolvingelectron.
6. Electromagnetic Induction and Alternating Current
Electromagnetic induction – Faraday’s law – induced emf andcurrent – Lenz’s law. Self induction – Mutual induction – selfinductance of a long solenoid – mutual inductance of two longsolenoids. Methods of inducing emf – (i) by changing magneticinduction (ii) by changing area enclosed by the coil and (iii) bychanging the orientation of the coil (quantitative treatment).
AC generator – commercial generator. (Single phase, threephase). Eddy current – applications – transformer – long distancetransmission. Alternating current – measurement of AC – ACcircuit with resistance – AC circuit with inductor – AC circuitwith capacitor – LCR series circuit – Resonance and Q – factor -power in AC circuits.
7. Optics
Reflection of light, spherical mirrors, mirror formula. Refractionof light, total internal reflection and its applications, opticalfibers, refraction at spherical surfaces, lenses, thin lens formula,lens maker ’s formula. Magnification, power of a lens,combination of thin lenses in contact, combination of a lensand a mirror. Refraction and dispersion of light through a prism.Scattering of light-blue colour of sky and reddish appearancesof the sun at sunrise and sunset.
Wavefront and Huygens’s principle – Reflection, total internalreflection and refraction of plane wave at a plane surface usingwavefronts. Interference – Young’s double slit experiment andexpression for fringe width – coherent source – interference oflight – Formation of colours in thin films – Newton’s rings.Diffraction – differences between interference and diffractionof light- diffraction grating. Polarisation of light waves -polarisation by reflection – Brewster’s law – double refraction -nicol prism – uses of plane polarised light and Polaroids – rotatorypolarisation – polarimeter.
8. Dual Nature of Radiation and Atomic Physics
Electromagnetic waves and their characteristics -Electromagnetic spectrum – Photoelectric effect – Light wavesand photons- Einstein’s photoelectric equation – laws ofphotoelectric emission – particle nature of light – photo cellsand their applications.
Atomic structure – discovery of the electron – specific charge(Thomson’s method) and charge of the electron (Millikan’s oildrop method) – alpha scattering – Rutherford’s atom model.
9. Nuclear Physics
Nuclear properties – nuclear radii, masses, binding energy,density, charge – isotopes, isobars and isotones – nuclear massdefect – binding energy – stability of nuclei – Bainbridge massspectrometer.
Nature of nuclear forces – Neutron – discovery – properties -artificial transmutation – particle accelerator. Radioactivity -alpha, beta and gamma radiations and their properties -Radioactive decay law – half life – mean life – artificial radioactivity- radio isotopes – effects and uses – Geiger – Muller counter.Radio carbon dating. Nuclear fission – chain reaction – atombomb – nuclear reactor – nuclear fusion – Hydrogen bomb -cosmic rays – elementary particles.
10. Semiconductor Devices and their Applications
Semiconductor basics – energy band in solids: differencebetween metals, insulators and semiconductors – semiconductordoping – Intrinsic and Extrinsic semiconductors. Formation ofP-N Junction – Barrier potential and depletion layer-P-N Junctiondiode – Forward and reverse bias characteristics – diode as arectifier – Zener diode-Zener diode as a voltage regulator – LED.Junction transistors – characteristics – transistor as a switch -transistor as an amplifier – transistor as an oscillator.
Logic gates – NOT, OR, AND, EXOR using discrete components -NAND and NOR gates as universal gates – De Morgan’s theorem- Laws and theorems of Boolean algebra.
VITEEE Chemistry Syllabus
1. Atomic Structure
Bohr ’s atomic model-Sommerfeld’s extension of atomic structure; Electronic configuration and Quantum numbers; Shapes of s,p,d,f orbitals – Pauli’s exclusion principle – Hund’s Rule of maximum multiplicity- Aufbau principle. Emission spectrum, absorption spectrum, line spectra and band spectra; Hydrogen spectrum – Lyman, Balmer, Paschen, Brakett and Pfund series; deBroglie’s theory; Heisenberg’s uncertainty principle – wave nature of electron – Schrodinger wave equation (No derivation). Eigen values and eigen functions. Hybridization of atomic orbitals involving s,p,d orbitals.
2. p,d and f – Block Elements
p-block elements – Phosphorous compounds; PCl3, PCl5 – Oxides. Hydrogen halides, Inter halogen compounds. Xenon fluoride compounds. General Characteristics of d – block elements – Electronic Configuration – Oxidation states of first row transition elements and their colours. Occurrence and principles of extraction: Copper, Silver, Gold and Zinc. Preparation, properties of CuSO4, AgNO3 and K2Cr2O7.
Lanthanides – Introduction, electronic configuration, general characteristics, oxidation state – lanthanide contraction, uses, brief comparison of Lanthanides and Actinides.
3. Coordination Chemistry and Solid State Chemistry
Introduction – Terminology in coordination chemistry – IUPAC nomenclature of mononuclear coordination compounds. Isomerism, Geometrical isomerism in 4-coordinate, 6-coordinate complexes. Theories on coordination compounds – Werner’s theory (brief), Valence Bond theory. Uses of coordination compounds. Bioinorganic compounds (Haemoglobin and chlorophyll).
Lattice – unit cell, systems, types of crystals, packing in solids; Ionic crystals – Imperfections in solids – point defects. X-Ray diffraction – Electrical Property, Amorphous solids (elementary ideas only).
4. Thermodynamics, Chemical Equilibrium and Chemical Kinetics
I and II law of thermodynamics – spontaneous and non spontaneous processes, entropy, Gibb’s free energy – Free energy change and chemical equilibrium – significance of entropy.
Law of mass action – Le Chatlier’s principle, applications of chemical equilibrium. Rate expression, order and molecularity of reactions, zero order, first order and pseudo first order reaction – half life period. Determination of rate constant and order of reaction . Temperature dependence of rate constant – Arrhenius equation, activation energy.
5. Electrochemistry
Theory of electrical conductance; metallic and electrolytic conductance. Faraday’s laws – theory of b electrolytes – Specific resistance, specific conductance, equivalent and molar conductance – Variation of conductance with di lution – Kohlrausch’s Law – Ionic product of water, pH and pOH – buffer solutions – use of pH values. Cells – Electrodes and electrode potentials – construction of cell and EMF values, Fuel cells, Corrosion and its prevention.
6. Isomerism in Organic Compounds
Definition, Classification – structural isomerism, stereo isomerism – geometrical and optical isomerism. Optical activitychirality – compounds containing chiral centres – R – S notation, D – L notation.
7. Alcohols and Ethers
Nomenclature of alcohols – Classification of alcohols – distinction between 10, 20 and 30 alcohols – General methods of preparation of primary alcohols, properties. Methods of preparation of dihydric alcohols: Glycol – Properties – Uses. Methods of preparation of trihydric alcohols – Properties – Uses. Aromatic alcohols – preparation and properties of phenols and benzyl alcohol.
Ethers – Nomenclature of ethers – general methods of preparation of aliphatic ethers – Properties – Uses. Aromatic ethers – Preparation of Anisole – Uses.
8. Carbonyl Compounds
Nomenclature of carbonyl compounds – Comparison of aldehydes and ketones. General methods of preparation of aldehydes – Properties – Uses. Aromatic aldehydes – Preparation of benzaldehyde – Properties and Uses. Ketones – general methods of preparation of aliphatic ketones (acetone) – Properties – Uses. Aromatic ketones – preparation of acetophenone – Properties – Uses, preparation of benzophenone – Properties. Name reactions; Clemmenson reduction, Wolff – Kishner reduction, Cannizzaro reaction, Claisen Schmidt reaction, Benzoin Condensation, aldol Condensation. Preparation and applications of Grignard reagents.
9. Carboxylic Acids and their derivatives
Nomenclature – Preparation of aliphatic monobarboxylic acids – formic acid – Properties – Uses. Monohydroxy mono carboxylic acids; Lactic acid – Synthesis of lactic acid. Aliphatic dicarboxylic acids; Preparation of oxalic and succinic acid. Aromatic acids; Benzoic and Salicylic acid – Properties – Uses. Derivatives of carboxylic acids; acetyl chloride (CH3COCl) – Preparation – Properties – Uses. Preparation of acetamide, Properties – acetic anhydride – Preparation, Properties. Preparation of esters – methyl acetate – Properties.
10. Organic Nitrogen Compounds and Biomolecules
Aliphatic nitro compounds – Preparation of aliphatic nitroalkanes – Properties – Uses. Aromatic nitro compounds – Preparation – Properties – Uses. Distinction between aliphatic and aromatic nitro compounds. Amines; aliphatic amines – General methods of preparation – Properties – Distinction between 10, 20 and 30 amines. Aromatic amines – Synthesis of benzylamine – Properties, Aniline – Preparation – Properties – Uses. Distinction between aliphatic and aromatic amine. Aliphatic nitriles – Preparation – properties – Uses. Diazonium salts – Preparation of benzene diazoniumchloride – Properties.
Carbohydrates – distinction between sugars and non sugars, structural formulae of glucose, fructose and sucrose, with their linkages, invert sugar – definition, examples of oligo and polysaccharides,
Amino acids – classification with examples, Peptides-properties of peptide bond,
Lipids – Definition, classification with examples, difference between fats, oils and waxes.
VITEEE Mathematics Syllabus
1. Matrices and their Applications
Adjoint, inverse – properties, computation of inverses, solutionof system of linear equations by matrix inversion method.
Rank of a matrix – elementary transformation on a matrix,consistency of a system of linear equations, Cramer’s rule, nonhomogeneousequations, homogeneous linear system and rankmethod.
Solution of linear programming problems (LPP) in two variables.
2. Trigonometry and Complex Numbers
Definition, range, domain, principal value branch, graphs ofinverse trigonometric functions and their elementary properties.
Complex number system – conjugate, properties, ordered pairrepresentation.
Modulus – properties, geometrical representation, polar form,principal value, conjugate, sum, difference, product, quotient,vector interpretation, solutions of polynomial equations, DeMoivre’s theorem and its applications.
Roots of a complex number – nth roots, cube roots, fourth roots.
3. Analytical Geometry of two dimensions
Definition of a conic – general equation of a conic, classificationwith respect to the general equation of a conic, classification ofconics with respect to eccentricity.
Equations of conic sections (parabola, ellipse and hyperbola) instandard forms and general forms- Directrix, Focus and Latusrectum- parametric form of conics and chords. – Tangents andnormals – Cartesian form and parametric form- equation ofchord of contact of tangents from a point (x1 ,y1) to all the abovesaid curves.
Asymptotes, Rectangular hyperbola – Standard equation of arectangular hyperbola.
4. Vector Algebra
Scalar Product – angle between two vectors, properties of scalarproduct, and applications of dot product. Vector product, righthanded and left handed systems, properties of vector product,applications of cross product.
Product of three vectors – Scalar triple product, properties ofscalar triple product, vector triple product, vector product offour vectors, scalar product of four vectors.
5. Analytical Geometry of Three Dimensions
Direction cosines – direction ratios – equation of a straight linepassing through a given point and parallel to a given line, passingthrough two given points, angle between two lines.
Planes – equation of a plane, passing through a given point andperpendicular to a line, given the distance from the origin andunit normal, passing through a given point and parallel to twogiven lines, passing through two given points and parallel to a given line, passing through three given non-collinear points,passing through the line of intersection of two given planes,the distance between a point and a plane, the plane whichcontains two given lines (co-planar lines), angle between a lineand a plane.
Skew lines – shortest distance between two lines, condition fortwo lines to intersect, point of intersection, collinearity of threepoints.
Sphere – equation of the sphere whose centre and radius aregiven, equation of a sphere when the extremities of the diameterare given.
6. Differential Calculus
Limits, continuity and differentiability of functions – Derivativeas a rate of change, velocity, acceleration, related rates,derivative as a measure of slope, tangent, normal and anglebetween curves.
Mean value theorem – Rolle’s Theorem, Lagrange Mean ValueTheorem, Taylor’s and Maclaurin’s series, L’ Hospital’s Rule,stationary points, increasing, decreasing, maxima, minima,concavity, convexity and points of inflexion.
Errors and approximations – absolute, relative, percentage errors- curve tracing, partial derivatives, Euler’s theorem.
7. Integral Calculus and its Applications
Simple definite integrals – fundamental theorems of calculus,properties of definite integrals.
Reduction formulae – reduction formulae for ∫sin^{n}x dxand ∫cosn^{n}x dx, Bernoulli’s formula.
Area of bounded regions, length of the curve.
8. Differential Equations
Differential equations – formation of differential equations, orderand degree, solving differential equations (1st order), variablesseparable, homogeneous and linear equations.
Second order linear differential equations – second order lineardifferential equations with constant co-efficients, finding theparticular integral if f(x) = emx, sin mx, cos mx, x, x^{2}.
9. Probability Distributions
Probability – Axioms – Addition law – Conditional probability –Multiplicative law – Baye’s Theorem – Random variable -probability density function, distribution function, mathematicalexpectation, variance
Theoretical distributions – discrete distributions, Binomial,Poisson distributions- Continuous distri butions, Normaldistribution.
10. Discrete Mathematics
Functions – Relations – Basics of counting.
Mathematical logic – logical statements, connectives, truthtables, logical equivalence, tautology, contradiction.
Groups-binary operations, semi groups, monoids, groups, orderof a group, order of an element, properties of groups.
VITEEE Biology Syllabus
1. Taxonomy
Need for classification; three domains of life. Linnaean,Whittaker, Bentham and Hooker systems of classification. Salientfeatures of non-chordates up to phyla levels and chordates upto class levels.
2. Cell and Molecular Biology
Cell theory. Prokaryotic cell and it’s ultrastructure. Eukaryoticcell- cell wall, cell membrane, cytoskeleton, nucleus, chloroplast,mitochondria, endoplasmic reticulum, Golgi bodies, ribosomes,lysosomes, vacuoles and centrosomes. Cell cycle and division -amitosis, mitosis and meiosis. Search for genetic material;structure of DNA and RNA; replication, transcription, geneticcode, translation, splicing, gene expression and regulation (lacoperon) and DNA repair.
3. Reproduction
Asexual reproduction – binary fission, sporulation, budding,gemmule formation and fragmentation. Vegetative propagationin plants, sexual reproduction in flowering plants and structureof flowers. Pollination, fertilization, development of seeds andfruits, seed dispersal, apomixis, parthenocarpy and polyembryony.Human reproductive system. Gametogenesis,menstrual cycle, ferti lization, implantation, embryodevelopment upto blastocyst formation, pregnancy, parturitionand lactation. Assisted reproductive technologies.
4. Genetics and evolution
Chromosomes – structure and types, linkage and crossing over,recombination of chromosomes, mutation and chromosomalaberrations. Mendelian inheritance, chromosomal theory ofinheritance, deviation from Mendelian ratio (incompletedominance, co-dominance, multiple allelism, pleiotrophy), sexlinked inheritance and sex determination in humans. Darwinism,neo Darwinism, Hardy and Weinberg’s principle and factorsaffecting the equilibrium: selection, mutation, migration andrandom genetic drift.
5. Human health and diseases
Pathogens, parasites causing human diseases (malaria, dengue,chickengunia, filariasis, ascariasis, typhoid, pneumonia, commoncold, amoebiasis, ring worm) and their control. Basic conceptsof immunology, vaccines, antibiotics, cancer, HIV and AIDS.Adolescence, drug and alcohol abuse.
6. Biochemistry
Structure and function of carbohydrates, lipids and proteins.Enzymes – types, properties and enzyme action. Metabolism -glycolysis, Kreb’s cycle and pentose phosphate pathway.
7. Plant physiology
Movement of water, food, nutrients, gases and minerals. Passivediffusion, facilitated diffusion, and active transport. Imbibition,osmosis, apoplast and symplast transport and guttation.Transpiration, photosynthesis (light and dark reactions) andelectron transport chain. Hormones and growth regulators,photo-periodism and vernalization. Nitrogen cycle andbiological nitrogen fixation.
8. Human physiology
Digestion and absorption, breathing and respiration, body fluidsand circulation, excretory system, endocrine system, nervoussystem, skeletal and muscular systems. Locomotion andmovement, growth, aging and death. Hormones – types ofhormones, functions and disorders.
9. Biotechnology and its applications
Recombinant DNA technology, applications in health, agricultureand industries; genetically modified organisms; Human insulin,vaccine and antibiotic production. Stem cell technology and genetherapy. Apiculture and animal husbandry. Plant breeding, tissueculture, single cell protein, fortification, Bt crops and transgenicanimals. Microbes in food processing, sewage treatment, wastemanagement and energy generation. Biocontrol agents andbiofertilizers. Bio-safety issues, biopiracy and patents.
10. Biodiversity, ecology and environment
Ecosystems: components, types, pyramids, nutrient cycles(carbon and phosphorous), ecological succession and energyflow in an ecosystem; Biodiversity – concepts, patterns,importance, conservation, hot spots, endangered organisms,extinction, Red data book, botanical gardens, national parks,sanctuaries, museums, biosphere reserves and Ramsar sites.Environmental issues: pollution and its control. Populationattributes – growth, birth and death rate and age distribution.