RPET-2008 Syllabus Rajasthan Technical University
Measurement and Units : Dimensions of a physical quantity, uses of dimensional analysis, Errors in
measurement.
Dynamics of a Particle: Newton’s laws, motion in one, two and three dimensions, relative motion, inertial
frames, circular motion, spring force, gravitational force, law of gravitation, variation of gravity with altitude,
escape velocity, satellite motion, work, kinetic and potential energies, conservation of energy, momentum and
angular momentum, elastic collisions in one and two dimensions.
Dynamics of a System of Particles : Centre of mass, motion under external forces, rigid bodies, rotation of a
rigid body about a fixed axis, torque, angular acceleration, angular momentum, moment of inertia, radius of
gyration, kinetic energy of rotation, combined translational and rotational motions, parallel and perpendicular
axes theorems, moment of inertia of a ring, disc, cylinder and sphere.
Simple Harmonic Motion: Basic equation, displacement, velocity and acceleration, graphical and
mathematical representation, kinetic and potential energies, Lissajous figures, simple pendulum, compound
pendulum as a rigid oscillating body. Mass-spring system, damped harmonic oscillations, forced oscillations
and resonance.
Intermolecular Forces : Attractive and repulsive forces, three states of matter, ionic, covalent, Van der Waals
and metallic bondings, surface tension, angle of contact, capillarity, pressure difference across a spherical film,
determination of surface tension by capillary rise and Jaeger’s methods, elasticity, Hooke’s law, Young’s
modulus, shear and bulk moduli.
Kinetic Theory of Gases : Basic postulates, derivation of an expression for pressure exerted by an ideal gas,
interpretation of temperature, equipartition of energy, specific heats of monoatomic and diatomic gases.
First Law of Thermodynamics : Dependence of work and heat on path, internal energy, isothermal, isobaric,
isochoric and adiabatic processes, specific heats of an ideal gas, Mayer’s relation.
Radiation: Black-body, Kirchhoff’s law, Stefan’s law, Newton’s law of cooling, black-body spectrum, Wien’s
law.
Wave Motion: Progressive waves, superposition principle, beats, stationary waves, vibration of strings, air
columns, resonance, Doppler’s principle and its applications to sound and light waves.
Nature of Light : Light as wave motion, plane and spherical waves, Huygen’s principle, reflection and
refraction at a plane surface, electromagnetic nature of light waves, quantum nature of light, coherent sources;
Fresnel’s biprism, measurement of wavelength, Fresnel’s half -period zones, rectilinear propagation of light,
diffraction at a circular obstacle, aperture and a slit for plane waves.
Electrostatics : Conservation and quantization of charge, Coulomb’s law, electric field, superposition
principle, electric flux, Gauss’s law and its applications in simple cases, electric potential and potential
difference, electric field and potential due to a dipole, capacitance, capacitors in series and parallel, energy
stored in a capacitor.
Electric Circuits : Kirchhoff’s laws, Wheat-stone bridge and its applications, potentiometer and its
applications.
Magnetic Field: Biot-Savart and Ampere’s laws, magnetic field along the axis of a current carrying circular
coil, inside a torroid, due to a straight wire, magnetic moment of a current loop, force on a moving charge and
on a current carrying wire in a magnetic field, moving coil galvanometer, voltmeter, ammeter, electromagnetic
induction, Faraday’s and Lenz’s laws, self and mutual inductances, transformer, energy stored in an inductor.
Alternating Current Circuits : Rotating coil in a magnetic field, ac, rms and peak values, phase relations
between voltage and current in a resistor, inductor, capacitor and their series combinations, impedance and
reactance (definitions only), instantaneous and average power in ac circuits, power factor, wattless current and
choke coil. Modern Physics: Photons, photoelectric effect, Bohr’s theory of hydrogen-like atoms, X-raysproduction
and properties, de Broglie hypothesis, Davisson and Germer experiment, Thomson’s experiment,
explanation of Bohr’s orbits, uncertainty principle. radioactivity, nature of alpha, beta and gamma rays, laws of
disintegration, half and mean lives, atomic nucleus, binding energy, nuclear energy by fission and fusion.
Electronics : Thermionic emission, work function, diode rectification and triode amplification, bands in solids
(descriptive ideas only), conductors, semiconductors and insulators, intrinsic and extrinsic semiconductors, pn
junction and its rectification properties.
CHEMISTRY
Development of Classical Model of an Atom: Bohr model of an atom, calculation of radius of the Bohr’s
orbit, quantisation of electronic energy levels, Spectral evidence for quantisation, introductory concept of four
quantum numbers, Pauli’s exclusion principle, Hund’s rule, AufBau principle, concept of the spatial
distributions of s and p orbitals. Isotopes.
The Periodic Law : Long form of the Periodic Table. Electronic configuration and the Periodic Table.
Periodicity in properties, elementary ideas about ionisation potential, electron affinity, electronegativity and
atomic radii. Position of hydrogen.
The Theory of Chemical Bonding : The ionic bond, characteristic properties of ionic compounds. The
covalent bond. Introductory concept of overlapping of orbitals, σ and π bonds, Co-ordinate bond. Oxidation
number. Characteristic properties of covalent compounds, hybridisation as illustrated by common molecules
like NH3, H2O, CH4, C2H4 and C2H2.
Chemical Equilibrium and Ionic Equillibria : Generalised expression of law of mass action and its
applications. Arhenius theory, evidence in favour of dissociation theory, ionic product of water, hydrolysis,
relation between hydrolysis constant, ionic product of water and dissociation constant, solubility product and
its applications to analytical chemistry.
Chemical Kinetics : Order and Molecularity of reaction. Photochemical reactions. Expression for first and
second order reactions.
Acids and Bases : Hydrogen and hydroxyl ions in aqueous solution, Lewis concept of acids, dissociation of
acids, pH value, Buffer solution, Theory of indicators for acid- alkali titrations, choice of indicators for acidalkali
titrations.Oxidation-reduction, ion electron concept. Solid and liquid state of matter, Crystalline and
amorphus solids, Four types of crystalline solids, crystal lattice and unit cell. Types of solutions, properties of
solutions, osmosis and osmotic pressure, preparation and properties of colloidal solutions.
Metals: Nature of metallic state. The metallic bond. Occurrence of metals in nature. General principle of
metallurgy as illustrated by methods used for the extraction of iron, copper, aluminium and silver from various
types of ores.
Preparation and properties of heavy water, ozone and hydrogen peroxide.
s-Block Elements : General characteristics, Trends in variation of properties in periodic table of alkali and
alkaline earth metals.
d-Block Elements : General characteristics, Elementary idea about paramagnetism and diamagnetism,
different oxidation states of transition elements as illustrated by chromium, manganese and iron.
Classification of organic compounds, nomenclature, Homologous series. Functional groups; Isomerism
(position, chain, functional, metamerism). Petroleum as the commercial source of hydrocarbon and organic
chemicals, petroleum refining practice, octane number.
General methods of preparation, properties and uses of alkanes (upto five carbon atoms). Isomerism of butanes
and pentanes. Substitution reaction (free radical mechanism). Alkenes : General method of preparation,
properties and uses, Ethylene: Electrophillic addition (Mechanism). Markownikoff’s rule, Peroxide effect.
Alkynes : General methods of preparation, properties and uses, Acetylene: Substitution reaction;
Polymerisation.
General method of preparation, properties and uses of mono, di- and tri-halogen derivatives (excluding
unsaturated) upto two carbon atoms, haloform reaction, synthetic uses of alkyl halides, polarity of carbonhalogen
bond: Elementary concept of nucleophilic substitution. Freons preparation and uses. Grignard reagents
and their synthetic applications.
General methods of preparation, properties and uses of alcohols with reference to methyl and ethyl alcohols;
Absolute alcohol and power alcohol. Fermentation. General methods of preparation, properties and uses of
ether with reference to diethyl ether.
General methods of preparation, properties and uses of aldehydes and ketones with reference to formaldehyde,
acetaldehyde and acetone, Polymerization and condensation reaction (No mechanism).
General methods of preparation, properties and uses of monocarboxylic acids with reference to formic and
acetic acids.
Derivatives of fatty acids; acetyl chloride, acetamide, acetic anhydride and ethyl acetate, Soaps and detergents.
General methods of preparation, properties and uses of aliphatic amines with reference to methyl and ethyl
amines. Urea.
Preparation, properties and uses of Benzene (structure excluded), nitrobenzene, aniline and phenol,
benzaldehyde, benzoic acid.
Polymers, Examples of natural and synthetic polymers and their importance. Preparation and uses of nylon,
terylene and Buna-S.
MATHEMATICS
Algebra: Complex number as an ordered pair of real numbers; real and imaginary parts, absolute value,
graphical representation of complex numbers, triangle inequality, complex conjugate co-ordinates, roots of a
complex number.
Theory of quadratic equations and expressions; relation between roots and coefficients.
Arithmetic, geometric and harmonic progressions. Permutations and combinations. Elementary applications of
mathematical induction. Binomial theorem. Determinants of order two and three and their elementary
properties.
Matrices: definition, addition, subtraction and multiplication, transpose and adjoint of a matrix, inverse of a
matrix.
Trigonometry: De Moivre’s theorem and its applications; hyperbolic and inverse hyperbolic functions,
separation of real and imaginary parts of a complex quantity.
Co-ordinate Geometry: Rectangular cartesian co- ordinates, distance between two points, area of a triangle.
Straight lines, angle between two lines, parallel and perpendicular lines. Circle, equation of tangent and normal
to a circle. Pole, polar, radical axis. Parametric representation. Parabola, tangent and normal, its properties.
Coordinate axes and planes in three-dimensional space, coordinates of point in space, distance between two
points, section formula, direction cosines & direction ratios of a line joining two points, projection of the join
of two points on a line, angle between two lines, whose direction ratios are given.
Calculus : Functions; into, onto and one-one function, polynomial, rational, trigonometric, logarithmic and
exponential functions.
Notion of limit and continuity of a function, derivative of a function at a point; derivatives of sum, difference,
product and quotient of functions, derivatives of composite functions, implicit functions and inverse
trigonometrical, logarithmic and exponential functions. Logarithmic differentiations. Geometrical
interpretation of derivative; successive differentiation, tangents and normals. Sign of the derivative and
monotonicity. Maximum and minimum values of a function.
Integration as the inverse process of differentiation; integration by parts and by substitutions; definite integral
and its application for the determination of areas (simple cases), properties of definite integrals.
Vectors: Addition of vectors, multiplication by a scalar; scalar product, cross product and scalar triple product
with geometrical applications.
Probability: Probability; sum and product laws; conditional probability.