# Rajasthan Pre Engineering Test (RPET) – 2012, Exam date, schedule, Syllabus, Online Application deta

Rajasthan Pre Engineering Test (RPET) – 2012, the notification about RPET 2012 has come if you want to know about exam/age limit/educational qualification/online application/syllabus/last date/how to apply/application fee/contact details please read continue this article will help you to find all these things.

## Details about RPET 2012

On line Applications are invited from eligible candidates of Rajasthan domicile including the wards of Kashmiri Migrants for the registration of Rajasthan Pre Engineering Test - 2012 for admission to first year of undergraduate programmes leading to Bachelor's degree in different disciplines of Engineering (B.Tech. / B.E.) in various Govt. aided and Private unaided technical institutions of Rajasthan for the session 2012-2013.

__Educational Qualification:__(i) The minimum academic qualification is pass with atleast 45% marks (40% marks in case of candidates belonging to "SC/ST/ Non Creamy Layer OBC/ Non

Creamy Layer SBC" of Rajasthan state) in the subjects combination as given below taken together, in the final examination of 10+2 (Class XII) of Board of Secondary Education, Rajasthan or any other examination recognized equivalent thereto by Board of Secondary Education, Rajasthan/ Central Board of Secondary Education (CBSE).

(ii) Subject combination required in the qualifying examination for admission to B.Tech. / B.E course shall be as under:

Course Compulsory Subjects Any one of the Optional Subjects

B.Tech. / B.E. Physics &

Mathematics

(1) Chemistry (2) Bio-technology

(3) Computer Science (4) Biology

Candidates appearing in the qualifying examination (10+2) in 2012 may also apply.

__Age Limit:__Only those candidates whose date of birth falls on or after October 01, 1987 are eligible. However, in the case of Scheduled Caste (SC), Scheduled Tribe (ST) and Physically Handicapped (PH) candidates, upper age limit is relaxed by 5 years, i.e. SC, ST and PH candidates who were born on or after October 01, 1982 are eligible. Date of birth as recorded in the Secondary Education mark sheet / certificate only will be taken as authentic.

__Examination Scheme:__RPET-2012 shall consist of single examination of three hours duration containing 40 objective type questions in each of the subjects of Physics, Chemistry and Mathematics. The total no. of questions will be 120 carrying one mark each. There will be no negative marking for wrong answer. The questions in the test booklet will be both in Hindi as well as in English.

## Syllabus for RPET 2012:

**PHYSICS**

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, 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 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.

__Important Dates:__Date of closure for filling of the online application : 09-04-2012

RPET-2012 Exam will be conducted on 17th MAY, 2012 (Thursday) from 09.00 a.m. to 12.00 Noon

Submission of hard copy April 16, 2012

## Examination centers for RPET 2012:

• Ajmer

• Alwar

• Banswara

• Barmer

• Bharatpur

• Bhilwara

• Bikaner

• Churu

• Hindaun City

• Jaipur

• Jhalawar

• Jhunjhunu

• Jodhpur

• Kota

• Pilani

• Sikar

• Sirohi

• Sri Ganganagar

• Sawai Madhopur

• Tonk

• Udaipur

**the application fee for the RPET-2012 is Rs. 800/-**

__Application fee:__

__How to apply :__Apply online on this website http://techedu.rajasthan.gov.in 2. www.rpet2012.org 3.www.rpet2012.net

It is compulsory to send the application form (hardcopy) along with challan and photocopy of

documents to the following address through REGISTERED / SPEED POST (not through courier) The Coordinator RPET-2012,

Board of Technical Education, Rajasthan

W-6, Residency Road,

Jodhpur – 342 032

__Contact Details for RPET 2012:__BOARD OF TECHNICAL EDUCATION, RAJASTHAN

W-6, Residency Road, Jodhpur - 342 032

Web Sites : http://techedu.rajasthan.gov.in

Phone : (0291) 2632446

Fax : (0291) 2430398