Btech Syllabus for UPTU 2009 Engineering Exam

Physics, Chemistry and  Maths syllabus for the UPTU SEE 2009 Exam

UPTU Physics Syllabus

Measurement:

Dimensional analysis and error estimation, dimensional compatibility and

significant figures.

Motion in one dimension:

Average velocity, instantaneous velocity, one dimensional motion

with constant accelerations, freely falling bodies.

Laws of Motion:

Force and inertia, Newton’s laws of motion, and their significance.

Motion in two dimensions:

Projectile motion, uniform circular motion, tangential and radial

acceleration in curve-linear motion, relative motion and relative acceleration.

Work, Power and Energy:

Work done by a constant and variable forces, kinetic and potential

energy, power, Conservative and non conservative for ces, conservation of energy, gravitational

energy, work energy theorem, potential energy stored in a spring.

Linear Momentum & collisions:

Linear momentum & impulse, conservation of linear

momentum for two particle system, collisions, collision in one dimension, collision in two

dimension, rocket propulsion.

Rotation of a rigid body about a fixed axis:

Angular velocity and angular acceleration,

rotational kinematics, rotational motion with constant angular acceleration relationship between

angular and linear quantities, rotational energy, moment of inertia for a ring, rod, spherical

shell, sphere and plane lamina, torque and angular acceleration, work and energy in rotational

motion, rolling motion of a solid sphere and cylinder.

Gravitation:

Gravitational field, Kepler’s laws and motion of planets, planetary and satellite

motion, geostationary satellite.

Oscillatory motion:

Harmonic motion, oscillatory motion of mass attached to a spring, kinetic

& potential energy, Time Period of a simple pendulum, comparing simple and harmonic motion

with uniform circular motion, forced oscillations, damped oscillations and resonance.

Mechanics of solids and fluids:

States of matter young’s modulus, bulk modulus, shear

modulus of rigidity, variations of pressure with depth, Buoyant forces and Archimedes principle,

Pascal’s law, Bernoulli’s theorem and its application, surface energy, surface tension, angle of

contact, capillary rise, coefficient of viscosity, viscous force, terminal velocity, Stoke’s law,

stream line motion, Reynold’s numbers.

Heat and thermodynamics:

First law of thermodynamics, specific heat of an ideal gas at

constant volume and constant pressure, relation between them, thermodynamics process

(reversible, irreversible, isothermal, adiabatic), second law of thermodynamics, concept of

entropy and concept of absolute scale, efficiency of a Carnot engine, thermal conductivity,

Newton’s law of cooling, black body radiation, Wien’s displacement law, Stefan’s law.

Wave:

Wave motion, phase, amplitude and velocity of wave, newton’s formula for longitudinal

waves, propagation of sound waves in air, effect of temperature and pressure on velocity of

sound, Laplace’s correction, Principle of superposition, formation of standing waves, standing

waves in strings and pipes, beats, Doppler’s effect.

Electrostatics:

Coulomb’s law , electric field and potential due to point charge, dipole and its

field along the axis and perpendicular to axis, electric flux, Gauss’s theorem and its applications

29

to find the field due to infinite sheet of charge, and inside the hallow conducting sphere,

capacitance, parallel plate capacitor with air and dielectric medium between the Plates, series

and parallel combination of capacitors, energy of a capacitor, displacement currents.

Current Electricity:

Concept of free and bound electrons, drift velocity and mobility, electric

current, Ohm’s law, resistivity, conductivity, temperature dependency of resistance, resistance in

series and parallel combination, Kirchoff’s law and their application to network of resistances,

principle of potentiometer, effect of temperature on resistance and its application.

Magnetic Effect of Current:

Magnetic field due to current, Biot-Savart’s law, magnetic field

due to solenoid, motion of charge in a magnetic field, force on a current carrying conductors

and torque on current loop in a magnetic field, magnetic flux, forces between two parallel

current carrying conductors, moving coil galvanometer and its conversion into ammeter and

voltmeter.

Magnetism in Matter:

The magnetization of substance due to orbital and spin motions of

electrons, magnetic moment of atoms, diamagnetism, paramagnetism, ferromagnetism, earth’s

magnetic field and its components and their measurement.

Electromagnetic induction:

Induced e.m.f., Faraday’s laws, Lenz’s law, electromagnetic

induction, self and mutual induction, B-H curve, hysisteresisloss and its importance, eddy

currents.

Ray Optics and optical instruments:

Sources of light, luminous intensity,luminous flux,

illuminance, photometry, wave nature of light, Huygen’s theory for propagation of light and

rectilinear propagation of light, reflection of light , total internal reflection, reflection and

refraction at spherical surfaces, focal length of a combination of lenses, spherical and chromatic

aberration and their removal, refraction and dispersion of light due to a prism, simple and

compound microscope, reflecting and refracting telescope, magnifying power and resolving

power.

Wave Optics:

Coherent and incoherent sources of light, interference, young’s double slit

experiment diffraction due to a single slit, linearly polarized light, Polaroid.

Modern Physics:

Photo-electric equation, matter waves, quantization, Planck’s hypothesis,

Bohr’s model of hydrogen atom and its spectra, ionisation potential, Rydberg constant, solar

spectrum and Fraunhofer lines, fluorescence and phosphorescence, X-Rays and their

productions, characteristic and continuous spectra.a ß

Nuclear Instability, radioactive decay laws, Emission of

rays, Mass – defect, Mass Energy

equivalence, Nuclear Fission Nuclear Reactors, Nuclear Fusion.

Classification of conductors, Insulators and semiconductors on the basis of energy bands in

solids, PN junction, PN Diode, junction Transistors, Transistor as an amplifier and Oscillator.

Principles of Logic Gates ( AND, OR and NOT ) Analog Vs Digital communication, Difference

between Radio and television, Signal propagation, Principle of LASER and MASER, Population

Inversion, Spontaneous and stimulated Emission.

 

 

UPTU Chemistry Syllabus

Atomic Structure

: Bohr’s concept. Quantum numbers, Electronic configuration, molecular

orbital theory for homonuclear molecules, Pauli’s exclusion principle.

Chemical Bonding

: Electrovalency, co-valency, hybridization involving s,p and d orbitals

hydrogen bonding.

Redox Reactions

: Oxidation number, oxidising and reducing agents, balancing of equations.

Chemical Equilibrium and Kinetics

: Equilibrium constant (for gaseous system only) Le

Chaterlier’s principle, ionic equilibrium, Ostwald’s dilution law, hydrolysis, pH and buffer solution,

solubility product, common-ion effect, rate constant and first order reaction.

Acid – Base Concepts

: Bronsted Lowry & Lewis.

Electrochemistry

: Electrode potential and electro-chemical series.

Catalysis

: Types and applications.

Colloids

: Types and preparation, Brownian movement, Tyndall effect, coagulation and

peptization.

Colligative Properties of Solution

: Lowering of vapour pressure, Osmotic pressure,

depression of freezing point, elevation of boiling point, determination of molecular weight.

Periodic Table

: Classification of elements on the basis of electronic configuration, properties of

s,p and d block elements, ionization potential, electronegativity & electron affinity.

Preparation and Properties of the following

: Hydrogen peroxide. copper sulphate, silver

nitrate, plaster of paris, borax, Mohr’s salt, alums, white and red lead, microcosmic salt and

bleaching powder, sodium thiosulphate.

Thermochemistry

: Exothermic & endothermic reactions Heat of reaction, Heat of combustion

& formation, neutralisation, Hess’s law.

General Organic Chemistry

: Shape of organic compounds, Inductive effect, mesomeric

effect, electrophiles & nucleophiles, Reaction intermediates: carboniumion, carbanions & free

radical, Types of organic reactions, Cannizzaro Friedel Craft, Perkin, Aldol condensation.

Isomerism

: Structural, Geometrical & Optical

IUPAC

: Nomenclatur e of simple organic compounds.

Polymers

: Addition & condensation polymers

Corbohydrates

: Monosaccharides .

Preparation and Properties Of the Followings

: Hydrocarbons, monohydric alcohols,

aldehydes, ketones, monocarboxylic acids, primary amines, benzene, nitrobenzene, aniline,

phenol, benzaldehyde, benzoic acid, Grignard Reagent .

Solid State

: Structure of simple ionic compounds, Crystal imperfections (point defects only),

Born-Haber cycle

Petroleum

: Important industrial fractions, cracking, octane number, anti knocking compounds

UPTU Syllabus PAPER – 2 (MATHEMATICS)

Algebra

: Sets relations & functions, De-Morgan’s Law, Mapping Inverse relations, Equivalence

relations, Peano’s axioms, Definition of rationals and integers through equivalence

relation,

Indices and surds, Solutions of simultaneous and quadratic equations, A.P., G.P. and H.P.,

Special sums i.e. n

and n

(n N ), Partial fraction, Binomial theorem for any index,

exponential series, Logarithm and Logarithmic series. Determinants and their use in solving

simultaneous linear equations, Matrices, Algebra of matrices, Inverse of a matrix, Use of matrix

for solving equations.

Probability:

Definition, Dependent and independent events, Numerical problem on addition

and multiplication, theorem of probability

.

Trigonometry:

Identities, Trigonometric equations, properties of triangles, solution of

triangles, heights and distances, Inverse function, Complex numbers and their properties, Cube

roots of unity, De-Moivre’s theorem.

31

Co-ordinate Geometry

: Pair of straight lines, Circles, General equation of second degree,

parabola, ellipse and hyperbola, tracing of conics.

Calculus:

Limits & continuity of functions, Differentiation of function of function, tangents &

normal, Simple examples of Maxima & Minima, Indeterminate forms, Integration of function by

parts, by substitution and by partial fraction, definite integral, application to volumes and

surfaces of frustums of sphere, cone and cylinder. Differential equations of first order and of

first degree.

Vectors :

Algebra of vectors, scalar and vector products of two and three vectors and their

applications.

Dynamics :

Velocity, composition of velocity, relative velocity, acceleration, composition of

accelerations, Motion under gravity, Projectiles, Laws of motion, Principles of conservation of

momentum and energy, direct impact of smooth bodies.

Statics:

Composition of coplanar, concurrent and parallel forces moments and couples

resultant of set of coplanar forces and condition

of equilibrium, determination of centroid in

simple cases, Problems involving friction

One comment

  • February 28, 2010 - 11:39 am | Permalink

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