CGPET B.E/ B.Tech/DDT Syllabus | Agriculture Engineering, Food Tech, Dairy Technology, Diploma in Dairy Technology | Chhattisgarh Pre Engineering test 2023
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Syllabus In Writing Format
Subject |
No. of question |
Total marks |
Physics |
50 |
50 |
Chemistry |
50 |
50 |
Mathematics |
50 |
50 |
Total |
150 |
150 |
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.