PAPER-I
GENERAL KNOWLEDGE, MENTAL APTITUDE & ENGLISH
The paper will include questions covering the following topics:- 1. General Science 2. Current events of National and International importance 3. History of India 4. Indian Politics and Economy 5. Indian National Movement and also General Mental ability 6. Idioms/Phrases 7. Usage of Tenses
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 (S n, S n2, S n3). 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. Solution of Trigonometric Equations. Solution of Triangles. 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 including parametric form. 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 & parametric 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. Maxima & Minima, Rate measure & Error. Equation of tangent and normal. 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). Trapezoidal & Simpson’s Rule for numerical integration.
CHEMISTRY
Atoms, Molecules and Chemical Arthmatic : Symbols, formulae, oxidation, reduction, oxidation number, balancing of simple chemical equations, mole concept, empirical 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 (ionization potential, electron affinity, atomic and ionic radii, oxidation states). Atomic Structure, Bonding and 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, hybridization (sp, sp2 and sp3) and molecular structure, hydrogen bond, metallic bond, Vander Walls forces.
PHYSICS
Description of Motion : Motion in a straight line, uniform motion, speed and velocity, equation of motion in a straight line, position time 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, centre for mass, motion of centre of mass and momentum conservation. Moment of Inertia: Moment of Inertia (M.I.) of rigid body, radius of gyration, theorem of parallel and perpendicular axes, M.I. of a straight rod, circular ring, circular disc, relation between torque and M.I., kinetic energy, motion of point mass tied string to the wound on a cylinder, motion of cylinder rolling without slipping on an inclined plane. Kinetic Theory of Gasses: Boyle’s and Charles’s laws, gas equation, gas constant, pressure exerted by gas, kinetic energy of molecules, kinetic interpretation of temperature, derivation of gas laws from kinetic theory of gases. Electromagnetic Waves, Atomic and Nuclear Physics: Production and properties of e.m. waves, spectrums, nature and velocity of e.m. waves, propagation of radio waves in earth’s atmosphere, photoelectric effect, laws of photoelectric effect, production of x-rays, soft and hard x-rays, uses of x-rays, Radio activity laws, half life and average life for radioactive materials, nuclear fission and fusions.
PAPER-II
BASICS OF ENGINEERING
COMPUTER SCIENCE AND ENGINEERING/INFORMATION TECHNOLOGY
Introduction to Computer: Block diagram, basic components, concept of primary and secondary memories, working of hard disk and magnetic tape, input/output devices; Operating System: Introduction to various operating systems, single user, multiuser, batch processing, time sharing, real time, multiprogramming and multiprocessing systems, distributed computing, resources management, memory management ; System Software: Introduction, system software, application software, compilers, assemblers, loaders, linkers; Application Development: Algorithms and flowcharts, program writing, debugging and execution, compilation, interpretation, programming using C language, Object Oriented Programming concepts; Information Technology: Introduction to IT, Internet and its applications, web browser, E-mail; Data management and organization: Introduction to databases, architecture and structure of DBMS, data models, introduction to data structure, arrays, linked list, stacks and queues; Networking: Applications, introduction to OSI and TCP/IP, Networking topologies/technologies; Latest Technologies: Latest processor and memory configurations and related technologies.
ELECTRICAL AND INSTRUMENTATION ENGINEERING
AC fundamentals: single phase, rms value, peak to peak value, average value. RL, RC & RLC circuits, Power & Power factor, power measurement. DC& AC Bridge: Wheatstone bridge, Maxwell’s Bridge, De-Sauty’s Bridge, Owen’s Bridge, Kelvin’s Double Bridge, Hay Bridge. Network Theorems: Thevenin’s, superposition, Norton, maximum power, reciprocity and Tellegen’s theorems. Electromagnetic & Magnetic circuits: Principle of AC & DC machines and Transformers. DC Circuits: Circuit components (resistor, inductor and capacitors) and DC Circuits resonance. Error in measurement system, Galvanometer, PMCC and Moving iron instruments, DC potentiometers, Multimeter, LED/LCD/Segment Displays, CRO, Basic components of instrumentation system, sensor & transducer, resistive, capacitive & inductive transducers. Signal Conditioning: A/D and D/A converters, filtering and impedance matching, operational amplifiers.
MECHANICAL ENGINEERING
Thermal Engineering: Basic concepts, thermodynamic properties: intrinsic and extrinsic, open, closed and isolated systems, heat and work, specific heat, thermal and thermodynamic equilibrium, Zeroth law and first law of thermodynamics, internal energy, entropy, enthalpy. Clausius and Kelvin-Plank statement of second law, different thermodynamic processes like isobaric, isochoric, isothermal. Elements of heat transfer, conduction, convection, radiation. Applied Mechanics, Strength of Material and Machine Design: Concept of mechanics and applied mechanics, laws of forces, moments, friction and laws of motion. Stress & strain, concept of load, tensile, compressive and shear stress and strains, stress concentration, types of loading, theories of failure, factor of safety, endurance limit, efficiency of riveted and welded joints, keys and its types, stress in shafts, design of shafts (solid and hollow). Fluid Mechanics: Concept of fluid, fluid mechanics and hydraulics, properties of fluid (viscosity, specific weight, specific volume, specific gravity) with their units. Pascal’s law, concept of atmospheric pressure, gauge pressure, absolute pressure, vacuum and differential pressure
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 falling 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, Fineness modulas of sample, Raoult’s Law, Relative volatility, Azeotropic and extractive distillation, Simple (differential) distillation, Rectification (Fractionating column) distillation. Thermal processing, general methods for calculation of process time.
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