cg pet syllabus exam pattern announced by cg vyapam (chhattisgarh professional examination board , Raipur),pet entrance exam is required for the admission BE ,B Tech and Engeneering course.In this website you read the cg pet syllabus and download cg pet syllabus pdf file.
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PHYSICS
UNIT-1 MEASUREMENT:
Units and dimensions, Fundamental and derived units, Dimensional analysis, S.I. Units.
UNIT 2 KINEMATICS
Linear motion in one and two dimensions, Cases of uniform velocity and uniform acceleration, General relation among position and velocity, Uniform circulation motion.
UNIT - 3 FORCE AND LAWS OF MOTION:
Force and inertia, Newton's law of motion, Conservation of momentum and energy Static and Kinetic friction, Uniform Circular motion. UNIT 4 WORK ENERGY AND POWER
Work done by force, energy, power, Elastic collisions, Potential energy, Gravitational potential energy and its angular conversion to kinetic energy, Potential energy of a spring.
UNIT 5 ROTATIONAL MOTION AND MOMENT OF INERTIA
Rigid body rotation, couple, torque, angular momentum conservation of its momentum, Moment of inertia, theorems of parallel and perpendicular axis, (Moment of inertia of uniform ring, disc thin rod and cylinder only).
UNIT 6 GRAVITATION:
Acceleration due to gravity and its variation, Universal law of gravitation, motion of satellites, escape velocity., Synchronous satellite and polar satellite.
UNIT 7 PROPERTIES OF SOLID AND FLUIDS:
Elasticity, Hook's law, Young"s modulus, shear and bulk modulus, surface energy and surface tension, fluid pressure, atmospheric pressure, viscosity of fluids, kinetic theory of gases, gas laws, kinetic energy and temperature.
UNIT 8 HEAT AND THERMODYNAMICS:
Heat, Temperature, Thermometers, Specific heats at constant volume and constant pressure, Mechanical equivalent of heat isothermal and adiabatic processes. Heat conduction in one dimension. Convection and radiation, Stefan"s law and Newton's law of cooling, Zeroth, First and Second law of thermodynamics.
UNIT 9 OSCILLATION:
Periodic motion, simple harmonic motion, Oscillations in spring, Laws of simple pendulum.
UNIT – 10 WAVES
Transverse and longitudinal wave motion, Speed of sound, principle of super position, progressive and
stationary waves, beats and Doppler effect.
UNIT – 11 LIGHT:
Wave nature of light, Interference, Young”s double slit experiment, velocity of light and Doppler”s
effect in light, Reflection, refraction, total internal reflection, curved mirrors, Lenses, mirror and lens
formulae, Dispersion in prism, absorption and emission spectra, Optical instruments. The human eye,
defects of vision, magnification and resolving power of telescope and microscope.
UNIT – 12 MAGNETISM
Bar magnet, lines of force, torque on a bar magnet due to magnetic field, earth”s magnetic field,
tangent galvanometer, vibration magnetometer, Paramagnetic, di magnetic and ferromagnetic
substances.
UNIT – 13 ELECTROSTATICS
Coulomb”s law of electrostatics, dielectric constant, electric field and potential due to a point charge,
dipole, dipole field, Guass”s law in simple geometric. Electrostatic potential, capacitance, parallel plate
and spherical capacitors, capacitors in series and parallel, energy of a capacitor.
UNIT – 14 CURRENT ELECTRICITY
Electric current, Ohm”s law, Kirchiff”s laws, resistances in series and parallel, temperature dependence
of resistance, wheat stone bridge, and potentiometer. Measurement of voltages and currents.
UNIT – 15 EFFECT OF ELECTRIC CURRENT
Magnetic thermal and chemical effect of current, Electric power heating effects of currents, chemical
effects and law of electrolysis, thermoelectricity, Biot-Savart law, Magnetic fields due to a straight
wire, circular loop and solenoid. Force on a moving charge in a magnetic field (Lorentz force),
Magnetic moment of a current loop, effect of a uniform magnetic field of a current loop, forces
between two currents; moving galvanometer, ammeter and voltmeter.
UNIT – 16 ELECTROMAGNETIC INDUCTION AND ULTERNATING CURRENT:
Magnetic flux, Electromagnetic induction induced emf Faraday”s law, Lenz”s law, self and mutual
inductance, Alternating currents impedence and reactance growth and decay of current in L-R circuit,
elementary idea of dynamo and transformer.
UNIT – 17 ELECTRON , PHOTON AND RADIO ACTIVITY:
‘e” and ‘e/m” for an electron, photon, Einstein”s photoelectric equation, photocells.
Bohr model of the atom, Hydrogen spectrum, Composition of nucleus, atomic masses and isotopes,
radioactivity, laws of radio active decay, decay constant, half life and mean life, Mass-energy relation,
fission, X-Ray : properties and uses.
UNIT – 18 SEMICONDUCTOR:
Elementary ideas of conductor, semi conductor and insulator, intrinsic and extrinsic semi-conductors,
Diode, transistor, oscillator, digital circuit and logic gates.
CHEMISTRY (PHYSICAL CHEMISTRY)
UNIT – 1 ATOMIC STRUCTURE:
Constitution of nucleus: Bohr”s atom model: quantum numbers aufbau principle electronic
configuration of elements (upto-Kr): De-Broglie relation, shapes of orbital.
UNIT – 2 CHEMICAL BOND
Electrovalent covalent and co-valent bonds, hybridization (sp): hydrogen bond: shapes of molecules
(VSEPR theory): bond polarity resonance, Elements of VBT.
UNIT – 3 SOLUTIONS:
Modes of expressing concentrations of solutions: Types of solutions, Raoults law of colligative
properties, non-ideal solution, and abnormal molecular weights.
UNIT – 4 SOLID STATE :
Crystal lattices, unit cells, Structure of ionic compounds close packed structure, Ionic radii,
imperfections (Point defects) : properties of solids.
UNIT – 5 NUCLEAR CHEMISTRY:
Radio active radiations : Half-life, radioactive decay, group displacement law, structure and properties
of nucleus : Nuclear reactions, disintegration series, artifical transmutation : Isotopes and their uses :
Radio-carbon dating.
UNIT – 6 CHEMICAL EQUILIBRIUM:
Chemical equilibrium, Law of mass action Kp and Kc : Le Chatelier principle and its
applications.
UNIT – 7 IONIC EQUILIBRIUM:
Ionic Equilibria in soloutions, Solubility product, common ion effect, theories of acids and base
hydrolysis of salts : pH : buffers.
UNIT – 8 THERMOCHEMISTY AND THERMODYNAMICS:
Energy changes during a chemical reaction intrinsic energy, enthalpy; First law of thermodynamics :
Hess”s law, heats of reactions; Second law of thermodynamics; entropy; free energy; spontaneity of a chemical reaction, free energy change and chemical equilibrium; free energy as energy available for
useful work.
UNIT – 9 CHEMICAL KINETICS:
Rate of a reaction, factors affecting the rate, rate constant, rate expression, order of reaction, first order
rate constant-expression and characteristics, Arrhenous equation.
UNIT – 10 ELECTROCHEMISTRY:
Oxidation, Oxidation number and ion-electron methods, Electrolytic conduction, Faraday”s laws:
voltaic cell, electrode potentials, electromotive force, Gibb”s energy and cell potentials, Nernst
equation, commercial cells, fuel cell, electrochemical theory of corrosion.
UNIT – 11 SURFACE CHEMISTRY:
Colloids and Catalysis, Adsorption, Colloids (types preparation and properties), Emulsions, Catalysis:
Types and characteristics.
INORGANIC CHEMISTRY
UNIT – 12 PPRINCIPLES OF METALLURGICAL OPERTAIONS:
Furnaces, ore concentration, extraction, purification metallurgies of Na, Al, Fe, Cu, Ag, Zn and
Pb and their properties.
UNIT – 13 CHEMICAL PERIODICITY:
s, p, d, and f-block elements, periodic Table, periodicity, atomic and ionic radii valency, ionization
energy, electron affinity, electro negativity, metallic character.
UNIT – 14 COMPARATIVE STUDY OF ELEMENTS:
Comparative, study of the following families of element: (i) Alkali metals (ii) Alkaline earth metals
(iii) Nitrogen family (iv) Oxygen family (v) Halogens (vi) Noble gases.
UNIT – 15 TRANSITIONS METALS:
Electronic configuration of 3rd Metal ions, oxidation states, other general characteristic properties,
potassium permanganate, potassium dichromate.
UNIT – 16 CO-ORDINATION COMPOUND :
Simple nomenclature, bonding and stability, classification and bonding in organometallics.
UNIT – 17 CHEMICAL ANALYSIS:
Chemistry involved is simple inorganic qualitative analysis; calculations based on acid base titrimetry.
ORGANIC CHEMISTRY
UNIT –18 CHEMISTRY OF HYDRO CARBON:
Calculation of empirical and molecular formulae of organic compounds, Nomenclature of
organic compounds, common functional groups, isomerism, Structure and shapes of alkanes, alkenes
and benzene.
UNIT – 19 - Preparation, properties and uses of alkanes, alkenes and alkynes, benzene, petroleum,
cracking, octane number, gasoline additives.
UNIT – 20 ORGANIC COMPOUNDS BASED ON FUNCTIONAL GROUP CONTAINING
NITROGEN:
Nomenclature, methods preparation, Chemical properties, correlations of physical properties
with structures and uses of Nitro, Amino, Cyana and Diazo compounds.
UNIT – 21 ORGANIC COMPOUNDS CONTAINING ORGANIC OXYGENS:
Nomenclature, methods preparation, Chemical properties, correlations of physical properties with
structures and uses of ethers, aldehydes, ketones, carboxylic acids and their derivatives.
UNIT –22 CHEMISTRY IN DAILY LIFE
Polymers: Classification, method of preparation, properties and uses of polymers, Dyes: Classification,
Structure of some important dyes, Chemistry of Drug: Introduction and classification, Chemotherapy,
Importance of drug (Antipyretic, Antiseptic, Antibiotic, Anesthetics), Chemistry in food, cosmetics
and detergents.
UNIT – 23 BIOMOLECULES:
Classification, Structures and biological importance of carbohydrates, amino acids, peptides, proteins
and enzymes, nucleic acids and lipids.
MATHEMATICS
UNIT – 1 ALGEBRA:
Algebra of complex numbers, Graphical representation of complex numbers, modulus and argument of
complex numbers, Square root of a complex number, Triangular inequality. Cube roots of unity.
Arithmetic, geometric and harmonic progression, Arithmetic geometric and harmonic means between
two numbers. Sum of squares and cubes of first Natural numbers. Quadratic equations, relations
between roots and coefficients, permutations and combinations, binomial Theorem (any index)
exponential and logarithmic series. Determinants up to third order and their order and their elementary
properties Matrices types of matrices, ad joint and inverse of matrix, elementary properties of matrices.
Partial fraction. Application in solving simultaneous equations up to three variables.
UNIT – 2 TRIGONOMETRY:
Trigonometry functions and their graphs, addition and subtraction Formula involving multiple and
submultiples angles, general solutions of triangles equations, Relations between sides and angles of a
triangles, Solutions of triangles, inverse; trigonometrically functions, height and distance (Simple
Problems).
UNIT – 3 CO-ORDINATE GEOMETRY OF TWO DEMENSIONS:
Rectangular Cartesian co-ordinates, Straight-line pair to straight line, distance of a point from a line
angle between two lines.
Circle, tangents and normal system of circles.
Conic section Parabola, Ellipse and Hyperbola in standard forms with elementary, properties tangents and
normal.
UNIT – 4 CO-ORDINATE GEOMETRY OF THREE DIMENSIONS:
Rectangular co-ordinate system, Direction cosine and direction ratios, equation of place in standard
forms.
Perpendicular distance from a point, equation of a line angle between two lines.
UNIT – 5 VECTOR ALGEBRA:
Definition of vector, addition of vectors, Components in three dimensional space, Scalar and vector
products. Triple products, Simple application in geometry and mechanics.
UNIT – 6 DIFFERENTIAL CALCULUS:
Function polynomial, rational trigonometric, logarithmic and exponential. Inverse function, Limit
continuity and differentiability of functions, differentiation of rational, trigonometric and exponential
functions. Application of derivative in elementary problems in mechanics increasing and decreasing
functions. Maxima and Minima of function of one variable. Roll”s theorem and mean value theorem.
UNIT – 7 INTEGRAL CALCULUS:
Integrations as the inverse process of differentiations, Integration by the parts, by substitution and by
partial fraction. Definite integral, Areas under simple cures.
UNIT – 8 DIFFERENTIAL EQUATIONS:
Formulation of differential equation, order and degree, Solutions of differential equations by separation
of variable method. Homogeneous linear differential equation of first order.
UNIT – 9 STATISTICS:
Probability addition and multiplication laws, conditional probability, binomial distribution, Simple
problems in correlation and regression.
UNIT – 10 NUMERICAL METHODS:
Solution of equation by the methods of bisection, false-positions and Newton-Raphson. Numerical
integration by trapezoided and Simpson”s Rule.
UNIT – 11 INFORMATION TECHNOLOGY:
Basics of computer and its operations, Functional components, main parts of computer, Input devices,
Output devices and Secondary storage devices, System software, Utility software, Application software.
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