Entrance Exams in
India : Information and Details of Entrance Exams
Rajasthan Pre Entrance Test (RPET) 2016
RPET 2016: Syllabus
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.
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, and 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
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.
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
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.
RPET Exam Pattern
The RPET 2016 exam pattern is very beneficial for the engineering aspirants who are looking for taking admission in various private and government engineering colleges of Rajasthan state. The exam pattern will help the students in understanding “how the exam is being conducted” and “how to prepare for the exam”. The paper pattern of RPET 2016 will provide the students all the details regarding type of questions, marking scheme, important topics etc. The paper pattern for the RPET exam has been discussed below:
The RPET paper will consist of the questions from Physics, Chemistry and Mathematics, the question will be based on syllabus of class 11th and 12th.
- The duration of the paper will be 3 hours.
- The paper comprises of 120 questions, 40 from each subject.
- The paper will be in Bilingual mode i.e. Hindi and English.
- The candidates will be awarded one mark for each right answer.
- Total number of questions in the exam – 120.
- Total number of marks in the exam – 120.
- Total number of sections in the exam – 3.
- Marks weightage of each section – 40 question, 40 marks each from Physics, Chemistry & Mathematics.
- No marks shall be deducted for any incorrect answer given by the candidate.