CG PET - 2024

 Chhattisgarh Pre Engineering Test, popularly known as CG PET, is organized by the Chhattisgarh Professional Examination Board (CPEB) every year. It is a state-level entrance exam that is conducted for admissions to Undergraduate Engineering courses offered by the participating institutes of CG PET.

   Candidates must have passed 10+2 or equivalent with Maths, and Physics as compulsory subjects and Chemistry/ Biology/ Biotechnology/ Technical vocational courses as optional subjects.

   For BTech Biotechnology, aspirants should have studied Biology instead of Maths in their 10 + 2.

Physics syllabus

MEASUREMENT

Units and dimensions,

Fundamental and derived units,

Dimensional analysis

S.I. Units

KINEMATICS

Linear motion in one and two dimensions

Cases of uniform velocity and uniform acceleration

General relation among position and velocity

Uniform circulation motion

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

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

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)

GRAVITATION

Acceleration due to gravity and its variation, Universal law of gravitation, motion of satellites, escape velocity.,

Synchronous satellite and polar satellite

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

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

OSCILLATION

Periodic motion, simple harmonic motion

Oscillations in spring

Laws of simple pendulum

WAVES

Transverse and longitudinal wave motion,

Speed of sound, principle of super position, progressive and stationary waves, beats

Doppler effect

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

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

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

CURRENT ELECTRICITY

Electric current

Ohm”s law

Kirchhoff”s laws, resistances in series and parallel, temperature dependence of resistance, wheatstone bridge, and potentiometer.

Measurement of voltages and currents

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.

ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENT

Magnetic flux,

Electromagnetic induction induced emf Faraday’s law

Lenz”s law, self and mutual inductance

Alternating currents impedance and reactance growth and decay of current in L-R circuit, elementary idea of dynamo and transformer

ELECTRON, PHOTON, AND RADIOACTIVITY

‘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 radioactive decay, decay constant, half life and mean life

Mass-energy relation, fission

X-Ray : properties and uses

SEMICONDUCTOR

Elementary ideas of conductor, semi conductor and insulator, intrinsic and extrinsic semi-conductors,

Diode, transistor, oscillator, digital circuit and logic gates

Chemistry syllabus

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.

SOLUTIONS

Modes of expressing concentrations of solutions: Types of solutions, Raoults law of colligative properties, non-ideal solution, and abnormal molecular weights

SOLID STATE

Crystal lattices, unit cells, Structure of ionic compounds close packed structure, Ionic radii, imperfections (Point defects) : properties of solids.

NUCLEAR CHEMISTRY

Radio active radiations : Half-life, radioactive decay, group displacement law, structure and properties of nucleus : Nuclear reactions, disintegration series, artificial transmutation : Isotopes and their uses : Radio-carbon dating

CHEMICAL EQUILIBRIUM

Chemical equilibrium, Law of mass action Kp and Kc : Le Chatelier principle and its applications.

IONIC EQUILIBRIUM

Ionic Equilibria in solutions, Solubility product, common ion effect, theories of acids and base hydrolysis of salts : pH : buffers.

THERMOCHEMISTRY 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.

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.

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.

SURFACE CHEMISTRY

Colloids and Catalysis, Adsorption, Colloids (types preparation and properties), Emulsions, Catalysis: Types and characteristics.

Inorganic Chemistry

PRINCIPLES OF METALLURGICAL OPERATIONS

Furnaces, ore concentration, extraction, purification metallurgies of Na, Al, Fe, Cu, Ag, Zn and Pb and their properties.

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.

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.

TRANSITIONS METALS:

Electronic configuration of 3rd Metal ions, oxidation states, other general characteristic properties, potassium permanganate, potassium dichromate

COORDINATION COMPOUND

Simple nomenclature, bonding and stability, classification and bonding in organometallics.

CHEMICAL ANALYSIS

Chemistry involved is simple inorganic qualitative analysis; calculations based on acid base titrimetry

Organic Chemistry

CHEMISTRY OF HYDROCARBON

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

ALKANES, ALKENES AND ALKYNES

Preparation, properties and uses of alkanes, alkenes and alkynes, benzene, petroleum, cracking, octane number, gasoline additives

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.

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.

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.

BIOMOLECULES

Classification, Structures and biological importance of carbohydrates, amino acids, peptides, proteins and enzymes, nucleic acids and lipids.

Mathematics syllabus

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, adjoint and inverse of matrix, elementary properties of matrices. Partial fraction

Application in solving simultaneous equations up to three variables

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)

CO-ORDINATE GEOMETRY OF TWO DIMENSIONS

Rectangular Cartesian coordinates

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

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

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

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

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

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

STATISTICS

Probability addition and multiplication laws, conditional probability, binomial distribution

Simple problems in correlation and regression

NUMERICAL METHODS

Solution of equation by the methods of bisection, false-positions

Newton-Raphson

Numerical integration by trapezoidal and Simpson’s Rule

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

Official site - https://vyapam.cgstate.gov.in/