COMEDK UGET 2020 Syllabus:
Before start applying for the entrance test, students are advised to get through the syllabus set by the exam conducting authorities first. The syllabus for COMEDK UGET 2020 will be set according to the subjects from 10+2/12th STD / 2nd PUC (Science Stream). The students can expect from Physics, Electricity and Magnetism, Thermal and Chemical effects of Current, Hooke’s Law and Force, Sound and Mechanics Waves, Modern Physics & Thermal Physics. For Chemistry the syllabus has Thermodynamics, Atomic Structure & Chemical Bonding, Metal and Metallurgy, Classification of elements & periodicity in properties etc.
COMEDK UGET 2020 Mathematics Syllabus Unit I: SETS AND FUNCTIONS
The syllabus is elaborated according to the subject and the course, mentioned below:
Sets and their representations. Empty set. Finite and Infinite sets. Equal sets. Subsets. Subsets of the set of real numbers especially intervals (with notations). Powerset. Universal set. Venn diagrams. Union and intersection of sets. A difference of sets. The complement of a set, Properties of Complement sets.
2. Relations and Functions:
Ordered pairs, the Cartesian product of sets. The number of elements in the Cartesian product of two finite sets. Cartesian product of the reals with itself (up to R × R × R).
Definition of relation, pictorial diagrams, domain, co-domain, and range of a relation. Function as a special kind of relation from one set to another. Pictorial representation of a function, domain, co-domain, and range of a function. A real-valued function of the real variable, domain, and range of these functions, constant, identity, polynomial, rational, modulus, signum and greatest integer functions with their graphs. Sum, difference, product, and quotients of functions.
3. Trigonometric Functions:
Positive and negative angles. Measuring angles in radians and in degrees and conversion from one measure to another. Definition of trigonometric functions with the help of the unit circle. Truth of the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions and sketch of their graphs. Expressing sin (x+ y) and cos (x + y) in terms of sin x, sin y, cos x, and cos y.
Identities related to sin2x, cos2x, tan2x, sin3x, cos3x, and tan3x. A general solution of trigonometric equations of the type sin? = sin ?, cos? = cos?, and tan? = tan ?. Proofs and simple applications of sine and cosine formulae.
COMEDK UGET 2020 Mathematics Syllabus Unit II: ALGEBRA
1. The principle of Mathematical Induction:
A process of the proof by induction, motivating the application of the method by looking at natural numbers as the least inductive subset of real numbers. The principle of mathematical induction and simple applications.
2. Complex Numbers and Quadratic Equations:
Need for complex numbers, especially ?1, to be motivated by an inability to solve every quadratic equation. A brief description of the algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, a solution of quadratic equations in the complex number system, Square-root of a Complex number.
Linear inequalities, Algebraic solutions of linear inequalities in one variable and their representation on the number line. Graphical solution of linear inequalities in two variables. A solution of a system of linear inequalities in two variables - graphically.
4. Permutations and Combinations:
The fundamental principle of counting. Factorial n. Permutations and combinations derivation of formulae and their connections, simple applications.
5. Binomial Theorem:
History, statement and proof of the binomial theorem for positive integral indices. Pascal’s triangle, general and middle term in binomial expansion, simple applications.
6. Sequence and Series (Periods 10):
Sequence and Series. Arithmetic Progression (A.P.), Arithmetic Mean (A.M.), Geometric Progression (G.P.), a general term of a G.P., a sum of n terms of a G.P. Arithmetic and geometric series, infinite G.P. and its sum, geometric mean (G.M.)
COMEDK UGET 2020 Mathematics Syllabus Unit III: COORDINATE GEOMETRY
The brief recall of 2-D from earlier classes, shifting of origin. A slope of a line and angle between two lines. Various forms of equations of a line: parallel to axes, point-slope form, slope-intercept form, two-point form, intercepts form and normal form. The general equation of a line. An equation of the family of lines passing through the point of intersection of two lines. A distance of a point from a line.
Sections of a cone: Circles, ellipse, parabola, hyperbola, a point, a straight line and pair of intersecting lines as a degenerated case of a conic section. Standard equations and simple properties of parabola, ellipse, and hyperbola. Standard equation of a circle.
Introduction to Three-dimensional geometry:
Coordinate axes and coordinate planes in three dimensions. Coordinates of a point. A distance between two points and section formula.
COMEDK UGET 2020 Mathematics Syllabus Unit IV: CALCULUS
Limits and Derivatives:
Derivative introduced as a rate of change both as that of distance function and geometrically, log(1+x) ex –1 intuitive idea of the limit. lim e, Lim. Definition of derivative, relate it to slop x?0 x x?0 x of the tangent of the curve, the derivative of the sum, difference, product and quotient of functions. Derivatives of polynomial and trigonometric functions.
COMEDK UGET 2020 Mathematics Syllabus Unit V: MATHEMATICAL REASONING
Mathematically acceptable statements. Connecting words/phrases - consolidating the understanding of “if and only if (necessary and sufficient) condition”, “implies”, “and/or”, “implied by”, “and”, “or”, “there exists” and their use through variety of examples related to real life and Mathematics. Validating the statements involving the connecting words - a difference between contradiction, converse and contrapositive.
COMEDK UGET 2020 Mathematics Syllabus Unit VI: STATISTICS AND PROBABILITY
The measure of dispersion; mean deviation, variance and standard deviation of ungrouped/grouped data. Analysis of frequency distributions with equal means but different variances.
Random experiments: outcomes, sample spaces (set representation). Events: Occurrence of events, ‘not’, ‘and’ & ‘or’ events, exhaustive events, mutually exclusive events. Axiomatic (set-theoretic) probability, connections with the theories of earlier classes. A probability of an event, a probability of ‘not’, ‘and’, & ‘or’ events.
COMEDK UGET 2020 Mathematics Syllabus Unit VII: RELATIONS AND FUNCTIONS
Relations and Functions:
Types of relations: Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, an inverse of a function. Binary operations.
Inverse Trigonometric Functions
Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary properties of inverse trigonometric functions.
COMEDK UGET 2020 Mathematics Syllabus Unit VIII: ALGEBRA
A concept, notation, order, equality, types of matrices, zero matrices, the transpose of a matrix, symmetric and skew-symmetric matrices. Addition, multiplication and scalar multiplication of matrices, simple properties of addition, multiplication and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrices (restrict to square matrices of order 2). The concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).
A determinant of a square matrix (up to 3 × 3 matrices), properties of determinants, minors, cofactors and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency, and number of solutions of the system of linear equations by examples, solving system of linear equations in two or three variables (having the unique solution) using the inverse of a matrix.
COMEDK UGET 2020 Mathematics Syllabus Unit IX: CALCULUS
Continuity and Differentiability:
Continuity and differentiability, the derivative of composite functions, chain rule, derivatives of inverse trigonometric functions, derivative of implicit function. Concepts of exponential, logarithmic functions. Derivatives of logic and ex. Logarithmic differentiation. The derivative of functions expressed in parametric forms. Second order derivatives. Rolle’s and Lagrange’s Mean Value Theorems (without proof) and their geometric interpretations.
Applications of Derivatives:
Applications of derivatives: Rate of change, increasing/decreasing functions, tangents, and normals, approximation, maxima and minima (first derivative test motivated geometrically and second derivative test given as a provable tool). Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations).
Integration as the inverse process of differentiation. Integration of a variety of functions by substitution, by partial fractions and by parts, only simple integrals.
Definite integrals as a limit of a sum. Fundamental Theorem of Calculus (without proof). Basic properties of definite integrals and evaluation of definite integrals.
Applications of the Integrals:
Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/el- ellipses (in standard form only), an area between the two above said curves (the region should be clearly identifiable).
Definition, order, and degree, general and particular solutions of a differential equation. Formation of the differential equation whose general solution is given. The solution of differential equations by the method of separation of variables, homogeneous differential equations of first order and first degree. Solutions of a linear differential equation of the type –
COMEDK UGET 2020 Mathematics Syllabus Unit X: VECTORS AND THREE-DIMENSIONAL GEOMETRY
Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors. Types of vectors (equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar (dot) product of vectors, a projection of a vector on a line. Vector (cross) product of vectors, scalar triple product.
Direction cosines/ratios of a line joining two points. Cartesian and vector equation of a line, coplanar and skew lines, the shortest distance between two lines. Cartesian and vector equation of a plane. An angle between (i) two lines, (ii) two planes, (iii) a line and a plane. A distance of a point from a plane.
COMEDK UGET 2020 Mathematics Syllabus Unit XI: Linear Programming
Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming (L.P.) problems, the mathematical formulation of L.P. problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).
COMEDK UGET 2020 Mathematics Syllabus Unit XII: Probability
Multiplications theorem on probability. Conditional probability, independent events, total probability, Baye’s theorem. Random variable and its probability distribution, mean and variance of a haphazard variable. Repeated independent (Bernoulli) trials and Binomial distribution.
COMEDK UGET 2020 Chemistry Syllabus Unit I: Some Basic Concepts of Chemistry:
General Introduction: Importance and scope of chemistry. The historical approach to particulate nature of matter, laws of chemical combination, Dalton’s atomic theory: a concept of elements, atoms, and molecules. Atomic and molecular masses. Mole concept and molar mass; percentage composition and empirical and molecular formula; chemical reactions, stoichiometry, and calculations based on stoichiometry.
COMEDK UGET 2020 Chemistry Syllabus Unit II: Structure of Atom:
Discovery of electron, proton, and neutron; atomic number, isotopes, and isobars. Thompson’s model and its limitations, Rutherford’s model and its limitations, Bohr’s model and its limitations, concept of shells and subshells, dual nature of matter and light, de Broglie’s relationship, Heisenberg uncertainty principle, concept of orbitals, quantum numbers, shapes of s, p and d orbitals, rules for filling electrons in orbitals - Aufbau principle, Pauli exclusion principle and Hund’s rule, electronic configuration of atoms, stability of half filled and completely filled orbitals.
COMEDK UGET 2020 Chemistry Syllabus Unit III: Classification of Elements and Periodicity in Properties:
The significance of classification, the brief history of the development of periodic table, modern periodic law and the present form of the periodic table, periodic trends in properties of elements –atomic radii, ionic radii, inert gas radii, ionization enthalpy, electron gain enthalpy, electronegativity, valence. Nomenclature of elements with atomic number greater than 100.
COMEDK UGET 2020 Chemistry Syllabus Unit IV: Chemical Bonding and Molecular Structure
Valence electrons, ionic bond, covalent bond, bond parameters, Lewis structure, polar character of covalent bond, covalent character of ionic bond, valence bond theory, resonance, geometry of covalent molecules, VSEPR theory, concept of hybridization involving s, p and d orbitals and shapes of some simple molecules, molecular orbital theory of homonuclear diatomic molecules (qualitative idea only). Hydrogen bond.
COMEDK UGET 2020 Chemistry Syllabus Unit V: States of Matter:
Gases and Liquids: Three states of matter, intermolecular interactions, types of bonding, melting and boiling points,role of gas laws in elucidating the concept of the molecule, Boyle’s law, Charle’s law, Gay Lussac’s law, Avogadro’s law, ideal behaviour, empirical derivation of gas equation, Avogadro number, ideal gas equation. Kinetic energy and molecular speeds (elementary idea), deviation from ideal behavior, liquefaction of gases, critical temperature. Liquid State – Vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations)
COMEDK UGET 2020 Chemistry Syllabus Unit VI: Thermodynamics
Concepts of system, types of systems, surroundings, work, heat, energy, extensive and intensive properties, state functions. The first law of thermodynamics – internal energy and enthalpy, heat capacity and specific heat, measurement of ?U and ?H, Hess’s law of constant heat summation, enthalpy of: bond dissociation, combustion, formation, atomization, sublimation, phase transition, ionization, solution, and dilution. Introduction of entropy as a state function, Second law of thermodynamics, Gibbs energy change for a spontaneous and non-spontaneous process, criteria for equilibrium. Third law of thermodynamics –Brief introduction.
COMEDK UGET 2020 Chemistry Syllabus Unit VII: Equilibrium
Equilibrium in physical and chemical processes, dynamic nature of equilibrium, law of mass action, equilibrium constant, factors affecting equilibrium-Le Chatelier’s principle; ionic equilibrium – ionization of acids and bases, strong and weak electrolytes, degree of ionization, ionization of polybasic acids, acid strength, concept of pH., Hydrolysis of salts (elementary idea), , buffer solutions, Henderson equation, solubility product, common ion effect (with illustrative examples).
COMEDK UGET 2020 Chemistry Syllabus Unit VIII: Redox Reactions
The concept of oxidation and reduction, redox reactions, oxidation number, balancing redox reactions in terms of loss and gain of electron and change in oxidation numbers, applications of redox reactions.
COMEDK UGET 2020 Chemistry Syllabus Unit IX Hydrogen
Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen; hydrides – ionic, covalent and interstitial; physical and chemical properties of water, heavy water; hydrogen peroxide-preparation, reactions, use, and structure; hydrogen as a fuel.
COMEDK UGET 2020 Chemistry Syllabus Unit X: s- Block Elements (Alkali and Alkaline earth metals)
Group 1 and Group 2 elements: General introduction, electronic configuration, occurrence, anomalous properties of the first element of each group, diagonal relationship, trends in the variation of properties (such as ionization enthalpy, atomic and ionic radii), trends in chemical reactivity with oxygen, water, hydrogen and halogens; uses. Preparation and Properties of Some Important Compounds: Sodium carbonate, sodium chloride, sodium hydroxide and sodium hydrogen carbonate, biological importance of sodium and potassium. CaO, CaCO3, and industrial use of lime and limestone, biological importance of Mg and Ca.
COMEDK UGET 2020 Chemistry Syllabus Unit XI: Some p-Block Elements
General Introduction to p-Block Elements Group 13 elements: General introduction, electronic configuration, occurrence, the variation of properties, oxidation states, trends in chemical reactivity, anomalous properties of the first element of the group; Boronphysical and chemical properties, some important compounds: borax, boric acids, boron hydrides. Aluminum: uses, reactions with acids and alkalies. Group 14 elements: General introduction, electronic configuration, occurrence, the variation of properties, oxidation states, trends in chemical reactivity, the anomalous behavior of the first element. Carbon - catenation, allotropic forms, physical and chemical properties; uses of some important compounds: oxides. Important compounds of silicon and a few uses: silicon tetrachloride, silicones, silicates and zeolites, their uses.
COMEDK UGET 2020 Chemistry Syllabus Unit XII: Organic Chemistry
Some Basic Principles and Techniques (Periods 14) General introduction, methods of purification, qualitative and quantitative analysis, classification and IUPAC nomenclature of organic compounds. Electronic displacements in a covalent bond: inductive effect, electromeric effect, resonance, and hyperconjugation. Homolytic and heterolytic fission of a covalent bond: free radicals, carbocations, carbanions; electrophiles and nucleophiles, types of organic reactions.
COMEDK UGET 2020 Chemistry Syllabus Unit XIII: Hydrocarbons
Classification of Hydrocarbons. Aliphatic Hydrocarbons: Alkanes – Nomenclature, isomerism, conformations (ethane only), physical properties, chemical reactions including free radical mechanism of halogenation, combustion, and pyrolysis. Alkenes– Nomenclature, a structure of double bond (ethene), geometrical isomerism, physical properties, methods of preparation; chemical reactions: addition of hydrogen, halogen, water, hydrogen halides (Markovnikov’s addition and peroxide effect), ozonolysis, oxidation, mechanism of electrophilic addition. Alkynes – Nomenclature, a structure of triple bond (ethyne), physical properties, methods of preparation, chemical reactions: acidic character of alkynes, addition reaction of - hydrogen, halogens, hydrogen halides and water. Aromatic hydrocarbons – Introduction, IUPAC nomenclature; Benzene: resonance, aromaticity; chemical properties: mechanism of electrophilic substitution – nitration sulphonation, halogenation, Friedel Craft’s alkylation, and acylation; directive influence of the functional group in mono-substituted benzene; carcinogenicity and toxicity.
COMEDK UGET 2020 Chemistry Syllabus Unit XIV: Environmental Chemistry
Environmental pollution – Air, water and soil pollution, chemical reactions in the atmosphere, smogs, major atmospheric pollutants; acid rain, ozone, and its reactions, effects of depletion of the ozone layer, greenhouse effect, and global warming.
COMEDK UGET 2020 Chemistry Syllabus Unit XV: Solid State
Classification of solids based on different binding forces :molecular, ionic covalent and metallic solids, amorphous and crystalline solids(elementary idea),unit cell in two dimensional and three dimensional lattices, calculation of density of unit cell, packing in solids, packing efficiency, voids ,number of atoms per unit cell in a cubic unit cell, point defects, electrical and magnetic properties, Band theory of metals ,conductors, semiconductors and insulators and n and p-type semiconductors .
COMEDK UGET 2020 Chemistry Syllabus Unit XVI: Solutions
Types of solutions, expression of concentration of solutions of solids in liquids, solubility of gases in liquids, solid solutions, colligative properties – relative lowering of vapour pressure, Raoult’s law , elevation of B.P., depression of freezing point, osmotic pressure, determination of molecular masses using colligative properties, abnormal molecular mass, Vant Hoff factor.
COMEDK UGET 2020 Chemistry Syllabus Unit XVII: Electrochemistry
Redox reactions; conductance in electrolytic solutions, specific and molar conductivity variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis (elementary idea), dry cell – electrolytic cells and Galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells. The relation between Gibbs energy change and EMF of a cell, fuel cells; corrosion.
COMEDK UGET 2020 Chemistry Syllabus Unit XVIII: Chemical Kinetics
Rate of a reaction (average and instantaneous), factors affecting rates of reaction: concentration, temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant, integrated rate equations and half life (only for zero and first order reactions); concept of collision theory (elementary idea, no mathematical treatment).Activation energy, Arrhenius equation.
COMEDK UGET 2020 Chemistry Syllabus Unit XIX: Surface Chemistry
Adsorption – physisorption and chemisorption; factors affecting adsorption of gases on solids; catalysis :homogenous and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state: distinction between true solutions, colloids and suspensions; lyophilic, lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsions.
COMEDK UGET 2020 Chemistry Syllabus Unit XX: General Principles and Processes of Isolation of Elements
Principles and methods of extraction – concentration, oxidation, reduction electrolytic method, and refining; occurrence and principles of extraction of aluminum, copper, zinc, and iron.
COMEDK UGET 2020 Chemistry Syllabus Unit XXI: p-Block Elements
Group 15 elements: General introduction, electronic configuration, occurrence, oxidation states, trends in physical and chemical properties; nitrogen – preparation, properties and uses; compounds of nitrogen: preparation and properties of ammonia and nitric acid, oxides of nitrogen ( structure only); Phosphorous-allotropic forms; compounds of phosphorous: preparation and properties of phosphine ,halides (PCl3 , PCl5 ) and oxoacids (elementary idea only).
Group 16 elements: General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; dioxygen: preparation, properties and uses; classification.
of oxides; ozone. Sulfur – allotropic forms; compounds of sulfur: preparation, properties and uses of sulfur dioxide; sulphuric acid: industrial process of manufacture, properties, and uses, oxoacids of sulfur (structures only).
Group 17 elements: General introduction, electronic configuration, oxidation states, occurrence, trends in physical and chemical properties; compounds of halogens: preparation, properties and uses of chlorine and hydrochloric acid, interhalogen compounds, oxoacids of halogens (structures only). Group 18 elements: General introduction, electronic configuration, occurrence, trends in physical and chemical properties, uses.
COMEDK UGET 2020 Chemistry Syllabus Unit XXII: d and f Block Elements
General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first-row transition metals – metallic character, ionization enthalpy, oxidation states, ionic radii, color, catalytic property, magnetic properties, interstitial compounds, alloy formation.
Preparation and properties of K2 Cr2 O7 and KMnO4.
Lanthanoids – electronic configuration, oxidation states, chemical reactivity, and lanthanoid contraction and its consequences.
Actinoids – Electronic configuration, oxidation states, and comparison with lanthanoids.
COMEDK UGET 2020 Chemistry Syllabus Unit XXIII: Coordination Compounds
Coordination compounds: Introduction, ligands, coordination number, color, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding, Werner’s theory VBT, CFT; isomerism (structural and stereo)importance of coordination compounds (in qualitative analysis, extraction of metals and biological systems).
COMEDK UGET 2020 Chemistry Syllabus Unit XXIV: Haloalkanes and Haloarenes
Haloalkanes: Nomenclature, nature of the C-X bond, physical and chemical properties, mechanism of substitution reactions. Optical rotation.
Haloarenes: Nature of C-X bond, substitution reactions (directive influence of halogen for monosubstituted compounds only). Uses and environmental effects of – dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.
COMEDK UGET 2020 Chemistry Syllabus Unit XXV: Alcohols, Phenols, and Ethers
Alcohols: Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only); identification of primary, secondary and tertiary alcohols; mechanism of dehydration, uses, with special reference to methanol and ethanol.
Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophilic substitution reactions, uses of phenols.
Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses.
COMEDK UGET 2020 Chemistry Syllabus Unit XXVI: Aldehydes, Ketones, and Carboxylic Acids
Aldehydes and Ketones: Nomenclature, nature of carbonyl group, methods of preparation, physical and chemical properties, and mechanism of nucleophilic addition, the reactivity of alpha hydrogen in aldehydes; uses.
Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses.
COMEDK UGET 2020 Chemistry Syllabus Unit XXVII: Organic Compounds Containing Nitrogen
Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary secondary and tertiary amines.
Cyanides and Isocyanides – will be mentioned at relevant places in context.
Diazonium salts: Preparation, chemical reactions, and importance in synthetic organic chemistry.
COMEDK UGET 2020 Chemistry Syllabus Unit XXVIII: Biomolecules
Carbohydrates – Classification (aldoses and ketoses), the monosaccharide (glucose and fructose), D-L configuration, oligosaccharides (sucrose, lactose, maltose), polysaccharides (starch, cellulose, glycogen): importance. Proteins - Elementary idea of a-amino acids, peptide bond, polypeptides, proteins, primary structure, secondary structure, tertiary structure and quaternary structure (qualitative idea only), denaturation of proteins; enzymes. Hormones – the Elementary idea (excluding structure). Vitamins – Classification and functions. Nucleic Acids: DNA and RNA
COMEDK UGET 2020 Chemistry Syllabus Unit XXIX: Polymers
Classification – Natural and synthetic, methods of polymerization (addition and condensation), copolymerization. Some important polymers: natural and synthetic like polythene, nylon, polyesters, bakelite, rubber. Biodegradable and non-biodegradable polymers.
COMEDK UGET 2020 Chemistry Syllabus Unit XXX: Chemistry in Everyday Life
Chemicals in medicines – analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, antihistamines.
Chemicals in food – preservatives, artificial sweetening agents, elementary idea of antioxidants.
Cleansing agents – soaps and detergents, cleansing action.
COMEDK UGET 2020 Physics Syllabus Unit I: Physical World and Measurement
Chapter–1: Physical World
Physics - scope, and excitement; nature of physical laws; Physics, technology, and society.
Chapter–2: Units and Measurements
Need for measurement: Units of measurement; systems of units; SI units, fundamental and derived units. Length, mass and time measurements; accuracy and precision of measuring instruments; errors in measurement; significant figures.
Dimensions of physical quantities, dimensional analysis, and its applications.
COMEDK UGET 2020 Physics Syllabus Unit II: Kinematics
Chapter–3: Motion in a Straight Line
A frame of reference, Motion in a straight line: Position-time graph, speed, and velocity.
Elementary concepts of differentiation and integration for describing motion.Uniform and non-uniform motion, average speed and instantaneous velocity. Uniformly accelerated motion, velocity time and position-time graphs.
Relations for uniformly accelerated motion (graphical treatment).
Chapter–4: Motion in a Plane
Scalar and vector quantities; Position and displacement vectors, general vectors and their notations; equality of vectors, multiplication of vectors by a real number; addition and subtraction of vectors. Relative velocity. Unit vector; Resolution of a vector in a plane - rectangular components. Scalar and Vector product of vectors.
Motion in a plane, cases of uniform velocity and uniform acceleration-projectile motion. Uniform circular motion.
COMEDK UGET 2020 Physics Syllabus Unit III: Laws of Motion
Chapter–5: Laws of Motion
Intuitive concept of force. Inertia, Newton's first law of motion; momentum and Newton's second law of motion; impulse; Newton's third law of motion.
Law of conservation of linear momentum and its applications.
Equilibrium of concurrent forces. Static and kinetic friction, laws of friction, rolling friction, lubrication.
Dynamics of uniform circular motion: Centripetal force, examples of circular motion (vehicle on a level circular road, vehicle on banked road).
COMEDK UGET 2020 Physics Syllabus Unit IV: Work, Energy, and Power
Chapter–6: Work, Energy, and Power
Work was done by a constant force and a variable force; kinetic energy, work-energy theorem, power.
The notion of potential energy, the potential energy of a spring, conservative forces: conservation of mechanical energy (kinetic and potential energies); non-conservative forces: motion in a vertical circle; elastic and inelastic collisions in one and two dimensions.
COMEDK UGET 2020 Physics Syllabus Unit V: Motion of System of Particles and Rigid Body
Chapter–7: System of Particles and Rotational Motion
Centre of the mass of a two-particle system, momentum conservation and center of mass motion.
Centre of a mass of a rigid body; a center of mass of a uniform rod.
Moment of a force, torque, angular momentum, laws of conservation of angular momentum and its applications.
Equilibrium of rigid bodies, rigid body rotation, and equations of rotational motion, comparison of linear and rotational motions.
Moment of inertia, a radius of gyration.Values of moments of inertia, for simple geometrical objects (no derivation). Statement of parallel and perpendicular axes theorems and their applications.
COMEDK UGET 2020 Physics Syllabus Unit VI: Gravitation
Kepler's laws of planetary motion.The universal law of gravitation.
Acceleration due to gravity and its variation with altitude and depth.
Gravitational potential energy and gravitational potential. Escape velocity. Orbital velocity of a satellite. Geo-stationary satellites.
COMEDK UGET 2020 Physics Syllabus Unit VII: Properties of Bulk Matter
Chapter–9: Mechanical Properties of Solids
Elastic behavior, Stress-strain relationship, Hooke's law, Young's modulus, bulk modulus, the shear modulus of rigidity, Poisson's ratio; elastic energy.
Chapter–10: Mechanical Properties of Fluids
Pressure due to a fluid column; Pascal's law and its applications (hydraulic lift and hydraulic brakes). Effect of gravity on fluid pressure.
Viscosity, Stokes' law, terminal velocity, streamline and turbulent flow, critical velocity.Bernoulli's theorem and its applications.
Surface energy and surface tension, an angle of contact, the excess of pressure across a curved surface, application of surface tension ideas to drops, bubbles and capillary rise.
Chapter–11: Thermal Properties of Matter
Heat, temperature, thermal expansion; thermal expansion of solids, liquids, and gases, anomalous expansion of water; specific heat capacity; Cp, Cv - calorimetry; change of state - latent heat capacity.
Heat transfer-conduction, convection, and radiation, thermal conductivity, Qualitative ideas of Blackbody radiation, Wein's displacement Law, Stefan's law, Greenhouse effect.
COMEDK UGET 2020 Physics Syllabus Unit VIII: Thermodynamics
Thermal equilibrium and definition of temperature (zeroth law of thermodynamics).Heat, work and internal energy. The first law of thermodynamics. Isothermal and adiabatic processes.
The second law of thermodynamics: reversible and irreversible processes. Heat engine and refrigerator.
COMEDK UGET 2020 Physics Syllabus Unit IX: Behaviour of Perfect Gases and Kinetic Theory of Gases
Chapter–13: Kinetic Theory
An equation of state of a perfect gas, work done in compressing a gas.
Kinetic theory of gases - assumptions, a concept of pressure. Kinetic interpretation of temperature; RMS speed of gas molecules; degrees of freedom, the law of equipartition of energy (statement only) and application to specific heat capacities of gases; a concept of a mean free path, Avogadro's number.
COMEDK UGET 2020 Physics Syllabus Unit X: Oscillations and Waves
Periodic motion - time 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 (qualitative ideas only), resonance.
Wave motion. Transverse and longitudinal waves, speed of wave motion. Displacement relation for a progressive wave. A principle of superposition of waves, the reflection of waves, standing waves in strings and organ pipes, fundamental mode and harmonics, Beats, Doppler effect.
COMEDK UGET 2020 Physics Syllabus Unit XI: Electrostatics
Chapter-16: Electric Charges and Fields
Electric Charges; Conservation of charge, Coulomb’s law-force between two point charges, forces between multiple charges; superposition principle and continuous charge distribution.
An 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 uniform electric field.
Electric flux, statement of Gauss’s theorem and its applications to find field due to an infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell (field inside and outside).
Chapter-17: Electrostatic Potential and Capacitance
Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, electrical potential energy of a system of two point charges and of the electric dipole in an electrostatic field.
Conductors and insulators, free charges and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors and capacitance, the combination of capacitors in series and in parallel, a capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor.
COMEDK UGET 2020 Physics Syllabus Unit XII: Current Electricity
Chapter-18: Current Electricity
Electric current, a flow of electric charges in a metallic conductor, drift velocity, mobility and their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and non-linear), electrical energy and power, electrical resistivity and conductivity. Carbon resistors, the color code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance.
The internal resistance of a cell, potential difference, and emf of a cell, combination of cells in series and in parallel. Kirchhoff’s laws and simple applications. Wheatstone bridge, meter bridge.
Potentiometer - principle and its applications to measure potential difference and for comparing emf of two cells; measurement of internal resistance of a cell.
COMEDK UGET 2020 Physics Syllabus Unit XIII: Magnetic Effects of Current and Magnetism
Chapter-19: Moving Charges and Magnetism
The concept of a magnetic field, Oersted’s experiment.
Biot - Savart law and its application to current carrying circular loop.
Ampere’s law and its applications to an infinitely long straight wire. Straight and toroidal solenoids, Force on a moving charge in uniform magnetic and electric fields. Cyclotron.
Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel current-carrying conductors-definition of the ampere. Torque experienced by a current loop in a uniform magnetic field; moving coil galvanometer-its current sensitivity and conversion to ammeter and voltmeter.
Chapter-20: Magnetism and Matter
Current loop as a magnetic dipole and its magnetic dipole moment. The magnetic dipole moment of a revolving electron. Magnetic field intensity due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements.
Para-, dia- and ferromagnetic substances, with examples. Electromagnets and factors affecting their strengths. Permanent magnets.
COMEDK UGET 2020 Physics Syllabus Unit XIV: Electromagnetic Induction and Alternating Currents
Chapter-21: Electromagnetic Induction
Electromagnetic induction; Faraday’s laws, induced emf and current; Lenz’s Law, Eddy currents.
Self and mutual induction.
Chapter-22: Alternating Current
Alternating currents, peak and the RMS value of alternating current/voltage; reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in AC circuits, wattless current.
AC generator and transformer.
COMEDK UGET 2020 Physics Syllabus Unit XV: Electromagnetic waves
Chapter-23: Electromagnetic Waves
A basic idea of displacement current, Electromagnetic waves, their characteristics, their transverse nature (qualitative ideas only).
Electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, X-rays, gamma rays) including elementary facts about their uses.
COMEDK UGET 2020 Physics Syllabus Unit XVI: Optics
Chapter-24: Ray Optics and Optical Instruments
Ray Optics:: Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection, and its applications, optical fibers, refraction at spherical surfaces, lenses, thin lens formula, lens-maker's formula. Magnification, the power of a lens, the combination of thin lenses in contact combination of a lens and a mirror. Refraction and dispersion of light through a prism.
Scattering of the light blue color of the sky and reddish appearance of the sun at sunrise and sunset.
Optical instruments: Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers.
Chapter-25: Wave Optics
Wave optics: Wavefront and Huygen's principle, reflection and refraction of plane wave at a plane surface using wave fronts. Proof of laws of reflection and refraction using Huygen's principle. Interference Young's double slit experiment and expression for fringe width, coherent sources and sustained interference of light. Diffraction due to a single slit, width of central maximum. Resolving power of microscopes and astronomical telescopes. Polarisation, plane polarised light Brewster's law, uses of plane polarised light and Polaroids.
COMEDK UGET 2020 Physics Syllabus Unit XVII: Dual Nature of Matter and Radiation
Chapter-26: Dual Nature of Radiation and Matter
Dual nature of radiation. Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation-particle nature of light.
Matter waves-wave nature of particles, de Broglie relation. Davisson-Germer experiment (experimental details should be omitted; only conclusion should be explained).
COMEDK UGET 2020 Physics Syllabus Unit XVIII: Atoms & Nuclei
Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum.
Composition and size of the nucleus, atomic masses, isotopes, isobars; isotones. Radioactivity-alpha, beta and gamma particles/rays and their properties; radioactive decay law.
Mass-energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission, nuclear fusion.
COMEDK UGET 2020 Physics Syllabus Unit XIX: Electronic Devices
Chapter-29: Semiconductor Electronics: Materials, Devices, and Simple Circuits
Energy bands in conductors, semiconductors, and insulators (qualitative ideas only)
Semiconductor diode - I-V characteristics in forward and reverse bias, diode as a rectifier;
Special purpose p-n junction diodes: LED, photodiode, solar cell, and Zener diode and their characteristics, more zen diode as a voltage regulator.
Junction transistor, transistor action, characteristics of a transistor and transistor as an amplifier (common emitter configuration), a basic idea of analog and digital signals, Logic gates (OR, AND, NOT, NAND and NOR).
COMEDK UGET 2020 Physics Syllabus Unit XX: Communication Systems
Chapter-30: Communication Systems
Elements of a communication system (block diagram only); bandwidth of signals (speech, TV and digital data); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky, and space wave propagation, satellite communication. Need for modulation, amplitude modulation.