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SET I | SET II | SET III | SET VI |
For admission to Degree Programme
(i) English, General Knowledge & Mental Aptitude
The paper will include questions covering the following topics:-
(ii) Mathematics
Algebra : Solution of quadratic equations, relationship between their roots and coefficients. Equations reducible to quadratic equation. Symmetric Functions of roots. Formation of a quadratic equation with given roots. Arithmetic progression, Geometric progression and Arithmetico-Geometric series. Series of natural numbers (Sn, Sn2, Sn3). Mathematical induction. Permutations and Combinations. Binomial theorem for any index.
Trigonometry : Trigonometric ratios and their relations. Trigonometric Identities. T-ratios of allied angles. Addition and Subtraction formulae. Transformation of product into sum or difference and vice-versa. T-ratios of multiple and sub-multiple angles. Heights and distances.
Coordinate Geometry : Rectangular Cartesian coordinates. Distance between two points. Section formulae. Locus of a point. Equation of a straight line in various forms. Angle between two given lines. Condition for two lines to be parallel or perpendicular. Distance of a point from a line. Line through point of intersection of two given lines. Concurrency of lines. Equation of a circle in various forms. Intersection of a circle with a straight line. Equations of tangent and normal to a circle. Intersection of two circles. Equations of the parabola, ellipse and hyperbola in the standard forms.
Calculus : Function, its domain and range. Limit, continuity and differentiability of a function. Derivative of sum, difference, product and quotient of two functions. Derivative of algebraic, trigonometric, exponential, logarithmic, hyperbolic and Inverse trigonometric functions. Chain rule. Derivative of functions expressed in implicit and parametric forms. Logarithmic differentiation. Integration as the inverse process of differentiation. Integration by parts, by substitution and by partial fractions. Integration of rational and irrational functions. Definite integral and its application for the determination of area (simple cases).
(iii) Chemistry
Atoms, Molecules and Chemical Arthmatic : Symbols, formulae, oxidation, reduction, oxidation number, balancing of simple chemical equations, mole concept, emparical formulae and molecular formulae.
Chemical Families- Periodic Properties : Mendeleev's and Modern periodic tables, classification of elements into s, p, d and f blocks, periodic properties (ionisation potential, electron affinity, atomic and ionic radii, oxidation states).
Atomic Structure, Bonding & Molecular Structure : Bohr's theory, brief description of hydrogen spectrum, the wave nature of matter, de-Broglie's theory, Uncertainty principle, Quantum numbers, Pauli's exclusion principle, Hund's rule of maximum multiplicity, shapes of orbitals, electronic configuration of atoms upto atomic no. 30. Types of bonding (ionic, covalent and co-ordinate covalent), Lewis structure, VSEPR theory, orbital overlap and molecular shapes, hybridisation (sp, sp2 and sp3) and molecular structure, hydrogen bond, mettalic bond, Vanderwaals forces.
(iv) Physics
Units & Dimension : Needs for measurements, systems of units, S.I. units, fundamental and derived units. Dimension and their applications. Accuracy and errors in measurements, Random and instrumental errors.
Vector Analysis : Scalars and vectors, vectors in two and three dimensions, unit vector, vector addition and multiplication, Resolution of a vector in a plane, rectangular components.
Description of Motion : Motion in a straight line, uniform motion, speed and velocity, equation of motion in a straight line, position time graph, velocity and graph, instantaneous velocity and acceleration. Motion in two dimensions,Projectile motion, uniform circular motion, torque, angular momentum, conservation of angular momentum,centripetal and centrifugal forces.
(i) Computer Science and Engineering & Information Technology
Operating Systems, introduction to various operating systems, single
user, multi user, batch processing, time sharing, real time and multi
processing and distributed computing, graphical user interface, memory
management. Introduction to computer, components of computer,
compilers, assemblers, loaders, linkers. Introduction to internet, networking,
information technology. Introduction to databases, architecture
& structure of DBMS, Data Models, Data organization. Algorithms,
flowcharts, decision trees, introduction to C programmeming, Object oriented
concepts.
(ii) Electronics and Communication Engineering
Conductors, semiconductors, insulators, Extrinsic & Intrinsic
semiconductors. PN Junction Diode - its VI characteristics Rectifiers,
fitters. BJT - various transistor configurations their input/output characteristics.
FET, MOSFET - their construction & characteristics. Modulation - Need
& types of modulation (AM, FM, PM). Radio Receivers - TRF & superheterodyne.
Pulse modulation PAM, PWM, PPM. Logic gates - Definition, symbols &
truth table of NOR, OR, AND, NAND, EX-OR gates, various Flip Flops (SR,
JK, T, D), Registers & counters. Operational Amplifier - Inverting
& Non inverting amplifiers, Op Amp as an inverter, scale changer,
adder, subtractor, differentiator, integrator.
(iii) Electrical and Instrumentation Engineering AC fundamentals: single phase, three phase, rms value, peak to peak value, average value, power and power factor. DC & AC Bridges: Maxwell's Bridge, De-Sauty's Bridge, Owen?s Bridge, Wheatstone, Kelvin?s Double Bridge, Hay?s Bridge. Network Theorems: Thevenin's theorem, superposition Theorem, Norton Theorem, maximum power theorem, reciprocity theorem, Tellegen's theorem. Electromagnetic circuits: Magnetic circuits, Electromagnetic circuits, Principle of AC & DC machines and Transformers. RCL circuits, DC Circuits: Circuit components (resistor, inductor and capacitors) and DC Circuits Resonance, Error in measurement systems, Circuit components (resistors, inductors, capacitors), Galvanometers, ammeters and voltmeters, DC potentiometers, Multimeter, LED/LCD/Segment Displays, CRO Fundamentals of linear control system, Sensors and transducers,: variable resistive, capacitive and inductive transducers, Basic components of instrumentation system, principles of analog signal conditioning, A/D and D/A converters, filtering and impedance matching, operational amplifiers.
(iv) Mechanical Engineering :
Thermal Engineering: Basic concepts, types of properties, intrinsic
and extrinsic, open, closed and isolated systems, Heat and work, specific
heat, thermal and thermodynamic equilibrium, Zeroth law of thermodynamics,
first law of thermodynamics, internal energy, entropy Clausius and Kelvin-Plank
statement of second law, different thermodynamic processes like isobaric,
isochoric, isothermal. Elements of heat transfer, conduction, convection,
radiation.
Applied Mechanics: Concept of mechanics & applied mechanics,
laws of force, moments, friction and laws of motion. Stress & strain,
concept of load, tensile, compressive and shear stress& strains.
Engineering materials: Introduction and classification of engineering
materials. Thermal , chemical electrical and mechanical properties of
commonly used engineering materials.
(v) Chemical Engineering :
Instruments for Temperature Measurement : Thermometer, thermocouple,
thermister and pyrometer application and working. Instruments for Pressure
Measurement : Use of Manometers, Bourdan gauge, measurement of vacuum
and pressure. Liquid level measurement - Direct and differential method.
Instruments for Miscellaneous Measurements : Measurement of Nuclear radiation
instruments for gas analysis viscosity, conductivity, humidity and pH
value, industrial weighing and feeding systems. Different type of effluents
from chemical and food industries, effect of chemical pollution on ecology
and environment. Liquid Effluents /water Pollution: Different
parameters used to measure liquid effluent discharge. Air Pollution: Types,
sources and effects of air pollutants, different parameters used to measure
gas dischsrge, different treatments for combating air pollution.
Solid waste management: Sources and properties of solid wastes.
(vi) Food Technology
Different methods of heat transfer, Fourier?s law, Steady state heat
transfer through plain and composite slab, Cylindrical and spherical surfaces,
Natural and forced convection, LMTD and effectiveness of parallel and
counter flow heat exchanger, Radiation heat transfer, Fick?s law of diffusion
and basic concepts of convective mass transfer, Moisture content on dry
and wet basis, Equilibrium moisture content, Constant and failing rate
phase calculations, Critical moisture content, Concept of psychrometry
and its use, Refrigeration cycles, Load calculations, Physical properties
of fluid, Classification of fluid flow, Continuity equation, Bernoulli?s
theorem and its application, Concept of Reynold?s number and its determination,
Navier-Stokes equation, Flow through parallel plates and circular pipes,
Study and performance of different type of pumps like centrifugal, reciprocating,
rotary and piston displacement pumps, valves and joints, Concept of viscosity,
Newtonian and non-Newtonian fluids, Calculation of energy required in
grinding by Ritinger?s law and Bond?s law, Crushing efficiency, Mixing
index, Rate of mixing, Constant rate filtration, constant pressure filtration,
Filter cake compressibility, Ultrafilteration and reverse osmosis, Basic
Separation equation, Rate of separation, liquid-Liquid separation, Centrifuge
equipment like cream separator, Bactofuge and clarifiers used in dairy
industry, crystallization, Separation based on size, Effectiveness of
screens, Fineess modules of sample, Raoult?s Law, Relative volatility,
Azeotropic and extractive distillation, Simple (differential) distillation,
Rectification (Fractionating column) distillation, Extraction and thermal
processing.
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