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June 6th, 2016, 08:25 AM
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RPET Course

Can you provide me the syllabus of Rajasthan Pre Engineering Test (RPET) as I will be giving the exam this time and so need it for preparation of the exam?
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  #2  
June 6th, 2016, 08:56 AM
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Join Date: Mar 2012
Re: RPET Course

As per my knowledge, Rajasthan Pre Engineering Test (RPET) is replaced by Indian Institutes of Technology Joint Entrance Examination (IIT-JEE). Here I am providing you its syllabus:


JEE (Main) Physics Syllabus

SECTION A

UNIT 1: Physics and Measurement


Physics, technology and society, S I units, Fundamental and derived units.
Least count, accuracy and precision of measuring instruments, Errors in
measurement, Significant figures. Dimensions of Physical quantities,
dimensional analysis and its applications.

UNIT 2: Kinematics

Frame of reference. Motion in a straight line: Position-time graph, speed and
velocity. Uniform and non-uniform motion, average speed and instantaneous
velocity Uniformly accelerated motion, velocity-time, position- time graphs,
relations for uniformly accelerated motion. Scalars and Vectors, Vector
addition and Subtraction, Zero Vector, Scalar and Vector products, Unit
Vector, Resolution of a Vector. Relative Velocity, Motion in a plane, Projectile
Motion, Uniform Circular Motion.

UNIT 3: Laws of Motion


Force and Inertia, Newton’s First Law of motion; Momentum, Newton’s
Second Law of motion; Impulse; Newton’s Third Law of motion. Law of
conservation of linear momentum and its applications, Equilibrium of
concurrent forces.

Static and Kinetic friction, laws of friction, rolling friction.

Dynamics of uniform circular motion: Centripetal force and its applications.

UNIT 4: Work, Energy and Power


Work done by a constant force and a variable force; kinetic and potential
energies, work energy theorem, power.

Potential energy of a spring, conservation of mechanical energy,
conservative and non-conservative forces; Elastic and inelastic collisions in
one and two dimensions.

UNIT 5: Rotational Motion


Centre of mass of a two-particle system, Centre of mass of a rigid body;
Basic concepts of rotational motion; moment of a force, torque, angular
momentum, conservation of angular momentum and its applications;
moment of inertia, radius of gyration. Values of moments of inertia for
simple geometrical objects, parallel and perpendicular axes theorems and
their applications. Rigid body rotation, equations of rotational motion.

UNIT 6: Gravitation


The universal law of gravitation. Acceleration due to gravity and its variation
with altitude and depth. Kepler’s laws of planetary motion. Gravitational
potential energy; gravitational potential. Escape velocity. Orbital velocity of a
satellite. Geo-stationary satellites.

UNIT 7: Properties of Solids and Liquids

Elastic behaviour, Stress-strain relationship, Hooke’s Law, Young’s modulus,
bulk modulus, modulus of rigidity. Pressure due to a fluid column; Pascal’s
law and its applications. Viscosity, Stokes’ law, terminal velocity, streamline
and turbulent flow, Reynolds number. Bernoulli’s principle and its
applications. Surface energy and surface tension, angle of contact,
application of surface tension - drops, bubbles and capillary rise. Heat,
temperature, thermal expansion; specific heat capacity, calorimetry; change
of state, latent heat. Heat transfer- conduction, convection and radiation,
Newton’s law of cooling.

UNIT 8: Thermodynamics


Thermal equilibrium, zeroth law of thermodynamics, concept of temperature.
Heat, work and internal energy. First law of thermodynamics. Second law of
thermodynamics: reversible and irreversible processes. Carnot engine and
its efficiency.

UNIT 9: Kinetic Theory of Gases


Equation of state of a perfect gas, work doneon compressing a gas.Kinetic
theory of gases - assumptions, concept of pressure. Kinetic energy and
temperature: rms speed of gas molecules; Degrees of freedom, Law of
equipartition of energy,applications to specific heat capacities of gases; Mean
free path, Avogadro’s number.

UNIT 10: Oscillations and Waves


Periodic motion - period, frequency, displacement as a function of time.
Periodic functions. Simple harmonic motion (S.H.M.) and its equation; phase;
oscillations of a spring -restoring force and force constant; energy in S.H.M.
- kinetic and potential energies; Simple pendulum - derivation of expression
for its time period; Free, forced and damped oscillations, resonance.

Wave motion. Longitudinal and transverse waves, speed of a wave.
Displacement relation for a progressive wave. Principle of superposition of
waves, reflection of waves, Standing waves in strings and organ pipes,
fundamental mode and harmonics, Beats, Doppler effect in sound

UNIT 11: Electrostatics

Electric charges: Conservation of charge, Coulomb’s law-forces between two
point charges, forces between multiple charges; superposition principle and
continuous charge distribution.

Electric field: Electric field due to a point charge, Electric field lines, Electric
dipole, Electric field due to a dipole, Torque on a dipole in a uniform electric
field.

Electric flux, Gauss’s law and its applications to find field due to infinitely
long uniformly charged straight wire, uniformly charged infinite plane sheet
and uniformly charged thin spherical shell. Electric potential and its
calculation for a point charge, electric dipole and system of charges;
Equipotential surfaces, Electrical potential energy of a system of two point
charges in an electrostatic field.

Conductors and insulators, Dielectrics and electric polarization, capacitor,
combination of capacitors in series and in parallel, capacitance of a parallel
plate capacitor with and without dielectric medium between the plates,
Energy stored in a capacitor.

UNIT 12: Current Electricity


Electric current, Drift velocity, Ohm’s law, Electrical resistance, Resistances
of different materials, V-I characteristics of Ohmic and nonohmic conductors,
Electrical energy and power, Electrical resistivity, Colour code for resistors;
Series and parallel combinations of resistors; Temperature dependence of
resistance.

Electric Cell and its Internal resistance, potential difference and emf of a
cell, combination of cells in series and in parallel. Kirchhoff’s laws and their
applications. Wheatstone bridge, Metre bridge. Potentiometer - principle and
its applications.

UNIT 13: Magnetic Effects of Current and Magnetism


Biot - Savart law and its application to current carrying circular loop.
Ampere’s law and its applications to infinitely long current carrying straight
wire and solenoid. Force on a moving charge in uniform magnetic and
electric fields. Cyclotron.

Force on a current-carrying conductor in a uniform magnetic field. Force
between two parallel current-carrying conductors-definition of ampere.
Torque experienced by a current loop in uniform magnetic field; Moving coil
galvanometer, its current sensitivity and conversion to ammeter and
voltmeter.

Current loop as a magnetic dipole and its magnetic dipole moment. Bar
magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field
and magnetic elements. Para-, dia- and ferro- magnetic substances.

Magnetic susceptibility and permeability, Hysteresis, Electromagnets and
permanent magnets.

UNIT 14: Electromagnetic Induction and Alternating Currents


Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s
Law, Eddy currents. Self and mutual inductance. Alternating currents, peak
and rms value of alternating current/ voltage; reactance and impedance; LCR
series circuit, resonance; Quality factor, power in AC circuits, wattless
current. AC generator and transformer.

UNIT 15: Electromagnetic Waves


Electromagnetic waves and their characteristics. Transverse nature of
electromagnetic waves.



Electromagnetic spectrum (radio waves, microwaves, infrared, visible,
ultraviolet, Xrays, gamma rays). Applications of e.m. waves.

UNIT 16: Optics


Reflection and refraction of light at plane and spherical surfaces, mirror
formula, Total internal reflection and its applications, Deviation and
Dispersion of light by a prism, Lens Formula, Magnification, Power of a Lens,
Combination of thin lenses in contact, Microscope and Astronomical
Telescope (reflecting and refracting) and their magnifying powers.



Wave optics: wavefront and Huygens’ principle, Laws of reflection and
refraction using Huygen’s principle. Interference, Young’s double slit
experiment and expression for fringe width, coherent sources and sustained
interference of light. Diffraction due to a single slit, width of central
maximum. Resolving power of microscopes and astronomical telescopes,
Polarisation, plane polarized light; Brewster’s law, uses of plane polarized
light and Polaroids.

UNIT 17: Dual Nature of Matter and Radiation


Dual nature of radiation. Photoelectric effect, Hertz and Lenard’s
observations; Einstein’s photoelectric equation; particle nature of light.
Matter waves-wave nature of particle, de Broglie relation. Davisson-Germer
experiment.

UNIT 18: Atoms and Nuclei

Alpha-particle scattering experiment; Rutherford’s model of atom; Bohr
model, energy levels, hydrogen spectrum. Composition and size of nucleus,
atomic masses, isotopes, isobars; isotones. Radioactivity-alpha, beta and
gamma particles/rays and their properties; radioactive decay law. Mass-
energy relation, mass defect; binding energy per nucleon and its variation
with mass number, nuclear fission and fusion.

UNIT 19: Electronic Devices


Semiconductors; semiconductor diode: I-V characteristics in forward and
reverse bias; diode as a rectifier; I-V characteristics of LED, photodiode,
solar cell and Zener diode; Zener diode as a voltage regulator. Junction
transistor, transistor action, characteristics of a transistor; transistor as an
amplifier (common emitter configuration) and oscillator. Logic gates (OR,
AND, NOT, NAND and NOR). Transistor as a switch.

UNIT 20: Communication Systems

Propagation of electromagnetic waves in the atmosphere; Sky and space
wave propagation, Need for modulation, Amplitude and Frequency
Modulation, Bandwidth of signals, Bandwidth of Transmission medium, Basic
Elements of a Communication System (Block Diagram only)

SECTION-B

UNIT 21: Experimental Skills


Familiarity with the basic approach and observations of the experiments and
activities:

1. Vernier callipers - its use to measure internal and external diameter
and depth of a vessel.

2. Screw gauge-its use to determine thickness/diameter of thin
sheet/wire.

3. Simple Pendulum-dissipation of energy by plotting a graph between
square of amplitude and time.

4. Metre Scale - mass of a given object by principle of moments.

5. Young’s modulus of elasticity of the material of a metallic wire.

6. Surface tension of water by capillary rise and effect of detergents.

7. Co-efficient of Viscosity of a given viscous liquid by measuring terminal
velocity of a given spherical body.

8. Plotting a cooling curve for the relationship between the temperature of
a hot body and time.

9. Speed of sound in air at room temperature using a resonance tube.

10. Specific heat capacity of a given (i) solid and (ii) liquid by method of
mixtures.

11. Resistivity of the material of a given wire using metre bridge.

12. Resistance of a given wire using Ohm’s law.

13. Potentiometer - (i) Comparison of emf of two primary cells. (ii)
Determination of internal resistance of a cell.

14. Resistance and figure of merit of a galvanometer by half deflection
method.

15. Focal length of: (i) Convex mirror (ii) Concave mirror, and (iii) Convex
lens using parallax method.

16. Plot of angle of deviation vs angle of incidence for a triangular prism.

17. Refractive index of a glass slab using a travelling microscope.

18. Characteristic curves of a p-n junction diode in forward and reverse
bias.

19. Characteristic curves of a Zener diode and finding reverse break down
voltage.

20. Characteristic curves of a transistor and finding current gain and
voltage gain.

21. Identification of Diode, LED, Transistor, IC, Resistor, Capacitor from
mixed collection of such items.

22. Using multimeter to: (i) Identify base of a transistor (ii) Distinguish
between npn and pnp type transistor (iii) See the unidirectional flow of
current in case of a diode and an LED. (iv) Check the correctness or
otherwise of a given electronic component (diode, transistor or IC).



JEE (Main) Chemistry Syllabus



Section A: Physical Chemistry

UNIT 1: Some Basic concepts in Chemistry


Matter and its nature, Dalton’s atomic theory; Concept of atom, molecule,
element and compound; Physical quantities and their measurements in
Chemistry, precision and accuracy, significant figures, S.I. Units,
dimensional analysis; Laws of chemical combination; Atomic and molecular
masses, mole concept, molar mass, percentage composition, empirical and
molecular formulae; Chemical equations and stoichiometry.

UNIT 2: States of Matter

Classification of matter into solid, liquid and gaseous states.

Gaseous State:

Measurable properties of gases; Gas laws - Boyle’s law, Charle’s law,
Graham’s law of diffusion, Avogadro’s law, Dalton’s law of partial pressure;
Concept of Absolute scale of temperature; Ideal gas equation, Kinetic theory
of gases (only postulates); Concept of average, root mean square and most
probable velocities; Real gases, deviation from Ideal behaviour,
compressibility factor, van der Waals equation, liquefaction of gases, critical
constants.

Liquid State:

Properties of liquids - vapour pressure, viscosity and surface tension and
effect of temperature on them (qualitative treatment only).

Solid State:


Classification of solids: molecular, ionic, covalent and metallic solids,
amorphous and crystalline solids (elementary idea); Bragg’s Law and its
applications; Unit cell and lattices, packing in solids (fcc, bcc and hcp
lattices), voids, calculations involving unit cell parameters, imperfection in
solids; Electrical, magnetic and dielectric properties.

UNIT 3: Atomic Structure

Discovery of sub-atomic particles (electron, proton and neutron); Thomson
and Rutherford atomic models and their limitations; Nature of
electromagnetic radiation, photoelectric effect; Spectrum of hydrogen atom,
Bohr model of hydrogen atom - its postulates, derivation of the relations for
energy of the electron and radii of the different orbits, limitations of Bohr’s
model; Dual nature of matter, de-Broglie’s relationship, Heisenberg
uncertainty principle.

Elementary ideas of quantum mechanics, quantum mechanical model of
atom, its important features, concept of atomic orbitals as one electron wave
functions; Variation of Ψ and Ψ2 with r for 1s and 2s orbitals; various
quantum numbers (principal, angular momentum and magnetic quantum
numbers) and their significance; shapes of s, p and d - orbitals, electron spin
and spin quantum number; Rules for filling electrons in orbitals - aufbau
principle, Pauli’s exclusion principle and Hund’s rule, electronic configuration
of elements, extra stability of half-filled and completely filled orbitals.

UNIT 4: Chemical Bonding and Molecular Structure


Kossel - Lewis approach to chemical bond formation, concept of ionic and
covalent bonds.

Ionic Bonding: Formation of ionic bonds, factors affecting the formation of
ionic bonds; calculation of lattice enthalpy.

Covalent Bonding: Concept of electronegativity, Fajan’s rule, dipole moment;
Valence Shell Electron Pair Repulsion (VSEPR) theory and shapes of simple
molecules.

Quantum mechanical approach to covalent bonding: Valence bond theory -
Its important features, concept of hybridization involving s, p and d orbitals;
Resonance.

Molecular Orbital Theory - Its important features, LCAOs, types of molecular
orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital
electronic configurations of homonuclear diatomic molecules, concept of bond
order, bond length and bond energy.

Elementary idea of metallic bonding. Hydrogen bonding and its applications.

UNIT 5: Chemical Thermodynamics


Fundamentals of thermodynamics: System and surroundings, extensive and
intensive properties, state functions, types of processes.

First law of thermodynamics: Concept of work, heat internal energy and
enthalpy, heat capacity, molar heat capacity; Hess’s law of constant heat
summation; Enthalpies of bond dissociation, combustion, formation,
atomization, sublimation, phase transition, hydration, ionization and solution.

Second law of thermodynamics: Spontaneity of processes; ΔS of the
universe and ΔG of the system as criteria for spontaneity, ΔGo (Standard
Gibbs energy change) and equilibrium constant.

UNIT 6: Solutions


Different methods for expressing concentration of solution - molality,
molarity, mole fraction, percentage (by volume and mass both), vapour
pressure of solutions and Raoult’s Law - Ideal and non-ideal solutions,
vapour pressure - composition, plots for ideal and non-ideal solutions;
Colligative properties of dilute solutions - relative lowering of vapour
pressure, depression of freezing point, elevation of boiling point and osmotic
pressure; Determination of molecular mass using colligative properties;
Abnormal value of molar mass, van’t Hoff factor and its significance.

UNIT 7: Equilibrium

Meaning of equilibrium, concept of dynamic equilibrium.

Equilibria involving physical processes: Solid -liquid, liquid - gas and solid -
gas equilibria, Henry’s law, general characterics of equilibrium involving
physical processes.

Equilibria involving chemical processes: Law of chemical equilibrium,
equilibrium constants (Kp and Kc) and their significance, significance of ΔG
and ΔGo in chemical equilibria, factors affecting equilibrium concentration,
pressure, temperature, effect of catalyst; Le Chatelier’s principle.

Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes,
various concepts of acids and bases (Arrhenius, Bronsted - Lowry and Lewis)
and their ionization, acid - base equilibria (including multistage ionization)
and ionization constants, ionization of water, pH scale, common ion effect,
hydrolysis of salts and pH of their solutions, solubility of sparingly soluble
salts and solubility products, buffer solutions.

UNIT 8: Redox Reactions and Electrochemistry

Electronic concepts of oxidation and reduction, redox reactions, oxidation
number, rules for assigning oxidation number, balancing of redox reactions.

Eectrolytic and metallic conduction, conductance in electrolytic solutions,
specific and molar conductivities and their variation with concentration:
Kohlrausch’s law and its applications.

Electrochemical cells - Electrolytic and Galvanic cells, different types of
electrodes, electrode potentials including standard electrode potential, half -
cell and cell reactions, emf of a Galvanic cell and its measurement; Nernst
equation and its applications; Relationship between cell potential and Gibbs’
energy change; Dry cell and lead accumulator; Fuel cells; Corrosion and its
prevention.

UNIT 9: Chemical Kinetics

Rate of a chemical reaction, factors affecting the rate of reactions:
concentration, temperature, pressure and catalyst; elementary and complex
reactions, order and molecularity of reactions, rate law, rate constant and its
units, differential and integral forms of zero and first order reactions, their
characteristics and half - lives, effect of temperature on rate of reactions -
Arrhenius theory, activation energy and its calculation, collision theory of
bimolecular gaseous reactions (no derivation).

UNIT 10: Surface Chemistry


Adsorption - Physisorption and chemisorption and their characteristics, factors affecting adsorption of gases on solids - Freundlich and Langmuir
adsorption isotherms, adsorption from solutions.

Catalysis - Homogeneous and heterogeneous, activity and selectivity of solid
catalysts, enzyme catalysis and its mechanism.

Colloidal state - distinction among true solutions, colloids and suspensions,
classification of colloids - lyophilic, lyophobic; multi molecular,
macromolecular and associated colloids (micelles), preparation and
properties of colloids - Tyndall effect, Brownian movement, electrophoresis,
dialysis, coagulation and flocculation; Emulsions and their characteristics.

Section B: Inorganic Chemistry

UNIT 11: Classification of Elements and Periodicity in Properties

Modem periodic law and present form of the periodic table, s, p, d and f
block elements, periodic trends in properties of elements¬atomic and ionic
radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states
and chemical reactivity.

UNIT 12: General Principles and Process of Isolation of Metals


Modes of occurrence of elements in nature, minerals, ores; steps involved in
the extraction of metals - concentration, reduction (chemical. and electrolytic
methods) and refining with special reference to the extraction of Al, Cu, Zn
and Fe; Thermodynamic and electrochemical principles involved in the
extraction of metals.

UNIT 13: Hydrogen


Position of hydrogen in periodic table, isotopes, preparation, properties and
uses of hydrogen; Physical and chemical properties of water and heavy
water; Structure, preparation, reactions and uses of hydrogen peroxide;
Classification of hydrides - ionic, covalent and interstitial; Hydrogen as a
fuel.

UNIT 14: s - Block Elements (Alkali and Alkaline Earth Metals)

Group 1 and Group 2 Elements

General introduction, electronic configuration and general trends in physical
and chemical properties of elements, anomalous properties of the first
element of each group, diagonal relationships.

Preparation and properties of some important compounds - sodium
carbonate, sodium chloride, sodium hydroxide and sodium hydrogen
carbonate; Industrial uses of lime, limestone, Plaster of Paris and cement;
Biological significance of Na, K, Mg and Ca.

UNIT 15: p - Block Elements

Group 13 to Group 18 Elements

General Introduction: Electronic configuration and general trends in physical
and chemical properties of elements across the periods and down the
groups; unique behaviour of the first element in each group.

Groupwise study of the p – block elements

Group - 13


Preparation, properties and uses of boron and aluminium; Structure,
properties and uses of borax, boric acid, diborane, boron trifluoride,
aluminium chloride and alums.

Group - 14

Tendency for catenation; Structure, properties and uses of allotropes and
oxides of carbon, silicon tetrachloride, silicates, zeolites and silicones.

Group - 15


Properties and uses of nitrogen and phosphorus; Allotrophic forms of
phosphorus; Preparation, properties, structure and uses of ammonia, nitric
acid, phosphine and phosphorus halides, (PCl3, PCl5); Structures of oxides
and oxoacids of nitrogen and phosphorus.

Group - 16


Preparation, properties, structures and uses of dioxygen and ozone;
Allotropic forms of sulphur; Preparation, properties, structures and uses of
sulphur dioxide, sulphuric acid (including its industrial preparation);
Structures of oxoacids of sulphur.

Group - 17


Preparation, properties and uses of chlorine and hydrochloric acid; Trends in
the acidic nature of hydrogen halides; Structures of Interhalogen compounds
and oxides and oxoacids of halogens.

Group - 18

Occurrence and uses of noble gases; Structures of fluorides and oxides of
xenon.

UNIT 16: d – and f – Block Elements

Transition Elements


General introduction, electronic configuration, occurrence and characteristics,
general trends in properties of the first row transition elements - physical
properties, ionization enthalpy, oxidation states, atomic radii, colour,
catalytic behaviour, magnetic properties, complex formation, interstitial
compounds, alloy formation; Preparation, properties and uses of K2Cr2O7
and KMnO4.

Inner Transition Elements


Lanthanoids - Electronic configuration, oxidation states, chemical reactivity
and lanthanoid contraction.

Actinoids - Electronic configuration and oxidation states.

UNIT 17: Co-ordination Compounds


Introduction to co-ordination compounds, Werner’s theory; ligands, co-
ordination number, denticity, chelation; IUPAC nomenclature of mononuclear
co-ordination compounds, isomerism; Bonding-Valence bond approach and
basic ideas of Crystal field theory, colour and magnetic properties;
Importance of co-ordination compounds (in qualitative analysis, extraction of
metals and in biological systems).
  #3  
June 6th, 2016, 08:56 AM
Super Moderator
 
Join Date: Mar 2012
Re: RPET Course


UNIT 18: Environmental Chemistry


Environmental pollution - Atmospheric, water and soil.

Atmospheric pollution - Tropospheric and stratospheric

Tropospheric pollutants - Gaseous pollutants: Oxides of carbon, nitrogen and
sulphur, hydrocarbons; their sources, harmful effects and prevention; Green
house effect and Global warming; Acid rain; Particulate pollutants: Smoke,
dust, smog, fumes, mist; their sources, harmful effects and prevention.

Stratospheric pollution - Formation and breakdown of ozone, depletion of
ozone layer - its mechanism and effects.

Water Pollution - Major pollutants such as, pathogens, organic wastes and
chemical pollutants; their harmful effects and prevention.

Soil pollution - Major pollutants such as: Pesticides (insecticides,. herbicides
and fungicides), their harmful effects and prevention.

Strategies to control environmental pollution.

Section-C: Organic Chemistry

UNIT 19: Purification and Characterisation of Organic Compounds

Purification - Crystallization, sublimation, distillation, differential extraction
and chromatography - principles and their applications.

Qualitative analysis - Detection of nitrogen, sulphur, phosphorus and
halogens.

Quantitative analysis (basic principles only) - Estimation of carbon,
hydrogen, nitrogen, halogens, sulphur, phosphorus.

Calculations of empirical formulae and molecular formulae; Numerical
problems in organic quantitative analysis.

UNIT 20: Some Basic Principles of Organic Chemistry


Tetravalency of carbon; Shapes of simple molecules - hybridization (s and
p); Classification of organic compounds based on functional groups: - C = C -
, - C ? C - and those containing halogens, oxygen, nitrogen and sulphur;
Homologous series; Isomerism - structural and stereoisomerism.

Nomenclature (Trivial and IUPAC)


Covalent bond fission - Homolytic and heterolytic: free radicals, carbocations
and carbanions; stability of carbocations and free radicals, electrophiles and
nucleophiles.

Electronic displacement in a covalent bond - Inductive effect, electromeric
effect, resonance and hyperconjugation.

Common types of organic reactions - Substitution, addition, elimination and
rearrangement.

UNIT 21: Hydrocarbons


Classification, isomerism, IUPAC nomenclature, general methods of
preparation, properties and reactions.

Alkanes - Conformations: Sawhorse and Newman projections (of ethane);
Mechanism of halogenation of alkanes.

Alkenes - Geometrical isomerism; Mechanism of electrophilic addition:
addition of hydrogen, halogens, water, hydrogen halides (Markownikoff’s and
peroxide effect); Ozonolysis, oxidation, and polymerization.

Alkynes - Acidic character; Addition of hydrogen, halogens, water and
hydrogen halides; Polymerization.

Aromatic hydrocarbons - Nomenclature, benzene - structure and aromaticity;
Mechanism of electrophilic substitution: halogenation, nitration, Friedel -
Craft’s alkylation and acylation, directive influence of functional group in
mono-substituted benzene.

UNIT 22: Organic Compounds Containing Halogens

General methods of preparation, properties and reactions; Nature of C-X
bond; Mechanisms of substitution reactions.

Uses; Environmental effects of chloroform, iodoform, freons and DDT.

UNIT 23: Organic Compounds Containing Oxygen

General methods of preparation, properties, reactions and uses.

Alcohols, Phenols and Ethers

Alcohols: Identification of primary, secondary and tertiary alcohols;
mechanism of dehydration.

Phenols: Acidic nature, electrophilic substitution reactions: halogenation,
nitration and sulphonation, Reimer - Tiemann reaction.

Ethers: Structure.

Aldehyde and Ketones


Nature of carbonyl group; Nucleophilic addition to >C=O group, relative
reactivities of aldehydes and ketones; Important reactions such as -
Nucleophilic addition reactions (addition of HCN, NH3 and its derivatives),
Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen);
acidity of ? - hydrogen, aldol condensation, Cannizzaro reaction, Haloform
reaction; Chemical tests to distinguish between aldehydes and Ketones.

Carboxylic Acids: Acidic strength and factors affecting it.

UNIT 24: Organic Compounds Containing Nitrogen


General methods of preparation, properties, reactions and uses.

Amines: Nomenclature, classification, structure, basic character and
identification of primary, secondary and tertiary amines and their basic
character.

Diazonium Salts: Importance in synthetic organic chemistry.

UNIT 25: Polymers


General introduction and classification of polymers, general methods of
polymerization - addition and condensation, copolymerization;

Natural and synthetic rubber and vulcanization; some important polymers
with emphasis on their monomers and uses - polythene, nylon, polyester and
bakelite.

UNIT 26: Bio Molecules

General introduction and importance of biomolecules.

Carbohydrates - Classification: aldoses and ketoses; monosaccharides
(glucose and fructose), constituent monosaccharides of oligosacchorides
(sucrose, lactose, maltose) and polysaccharides (starch, cellulose, glycogen).

Proteins - Elementary Idea of amino acids, peptide bond, polypeptides;
Proteins: primary, secondary, tertiary and quaternary structure (qualitative
idea only), denaturation of proteins, enzymes.

Vitamins - Classification and functions.

Nucleic Acids - Chemical constitution of DNA and RNA. Biological functions of
nucleic acids.

UNIT 27: Chemistry in Everyday Life


Chemicals in medicines - Analgesics, tranquilizers, antiseptics, disinfectants,
antimicrobials, antifertility drugs, antibiotics, antacids, antihistamins - their
meaning and common examples.

Chemicals in food - Preservatives, artificial sweetening agents - common
examples.

Cleansing agents - Soaps and detergents, cleansing action.

UNIT 28: Principles Related to Practical Chemistry


• Detection of extra elements (N,S, halogens) in organic compounds;
Detection of the following functional groups: hydroxyl (alcoholic and
phenolic), carbonyl (aldehyde and ketone), carboxyl and amino groups in
organic compounds.

• Chemistry involved in the preparation of the following:

Inorganic compounds: Mohr’s salt, potash alum.

Organic compounds: Acetanilide, p-nitroacetanilide, aniline yellow, iodoform.

• Chemistry involved in the titrimetric excercises - Acids bases and the use
of indicators, oxalic-acid vs KMnO4, Mohr’s salt vs KMnO4.

• Chemical principles involved in the qualitative salt analysis:

Cations - Pb2+ , Cu2+, AI3+, Fe3+, Zn2+, Ni2+, Ca2+, Ba2+, Mg2+, NH4+.

Anions- CO32-, S2-, SO42-, NO2-, NO3-, CI-, Br, I. (Insoluble salts
excluded).

• Chemical principles involved in the following experiments:

1. Enthalpy of solution of CuSO4

2. Enthalpy of neutralization of strong acid and strong base. .

3. Preparation of lyophilic and lyophobic sols.

4. Kinetic study of reaction of iodide ion with hydrogen peroxide at room
temperature.



JEE (Main) Mathematics Syllabus

UNIT 1: Sets, Relations and Functions


Sets and their representation; Union, intersection and complement of sets
and their algebraic properties; Power set; Relation, Types of relations,
equivalence relations, functions;. one-one, into and onto functions,
composition of functions.

UNIT 2: Complex Numbers and Quadratic Equations


Complex numbers as ordered pairs of reals, Representation of complex
numbers in the form a+ib and their representation in a plane, Argand
diagram, algebra of complex numbers, modulus and argument (or amplitude)
of a complex number, square root of a complex number, triangle inequality,
Quadratic equations in real and complex number system and their solutions.
Relation between roots and co-efficients, nature of roots, formation of
quadratic equations with given roots.

UNIT 3: Matrices and Determinants

Matrices, algebra of matrices, types of matrices, determinants and matrices
of order two and three. Properties of determinants, evaluation of
determinants, area of triangles using determinants. Adjoint and evaluation of
inverse of a square matrix using determinants and elementary
transformations, Test of consistency and solution of simultaneous linear
equations in two or three variables using determinants and matrices.

UNIT 4: Permutations and Combinations

Fundamental principle of counting, permutation as an arrangement and
combination as selection, Meaning of P (n,r) and C (n,r), simple applications.

UNIT 5: Mathematical Induction

Principle of Mathematical Induction and its simple applications.

UNIT 6: Binomial Theorem

Binomial theorem for a positive integral index, general term and middle
term, properties of Binomial coefficients and simple applications.

UNIT 7: Sequences and Series


Arithmetic and Geometric progressions, insertion of arithmetic, geometric
means between two given numbers. Relation between A.M. and G.M. Sum
upto n terms of special series: Sn, Sn2, Sn3. Arithmetico - Geometric
progression.

UNIT 8: Limit, Continuity and Differentiability

Real - valued functions, algebra of functions, polynomials, rational,
trigonometric, logarithmic and exponential functions, inverse functions.
Graphs of simple functions. Limits, continuity and differentiability.
Differentiation of the sum, difference, product and quotient of two functions.
Differentiation of trigonometric, inverse trigonometric, logarithmic,
exponential, composite and implicit functions; derivatives of order upto two.
Rolle’s and Lagrange’s Mean Value Theorems. Applications of derivatives:
Rate of change of quantities, monotonic - increasing and decreasing
functions, Maxima and minima of functions of one variable, tangents and
normals.

UNIT 9: Integral Calculus

Integral as an anti - derivative. Fundamental integrals involving algebraic,
trigonometric, exponential and logarithmic functions. Integration by
substitution, by parts and by partial fractions. Integration using trigonometric
identities.



Evaluation of simple integrals of the type

Integral as limit of a sum. Fundamental Theorem of Calculus. Properties of
definite integrals. Evaluation of definite integrals, determining areas of the
regions bounded by simple curves in standard form.

UNIT 10: Differential Equations


Ordinary differential equations, their order and degree. Formation of
differential equations. Solution of differential equations by the method of
separation of variables, solution of homogeneous and linear differential
equations of the type:

UNIT 11: Co-ordinate Geometry

Cartesian system of rectangular co-ordinates in a plane, distance formula,
section formula, locus and its equation, translation of axes, slope of a line,
parallel and perpendicular lines, intercepts of a line on the coordinate axes.

Straight lines


Various forms of equations of a line, intersection of lines, angles between
two lines, conditions for concurrence of three lines, distance of a point from
a line, equations of internal and external bisectors of angles between two
lines, coordinates of centroid, orthocentre and circumcentre of a triangle,
equation of family of lines passing through the point of intersection of two
lines.

Circles, conic sections


Standard form of equation of a circle, general form of the equation of a
circle, its radius and centre, equation of a circle when the end points of a
diameter are given, points of intersection of a line and a circle with the
centre at the origin and condition for a line to be tangent to a circle, equation
of the tangent. Sections of cones, equations of conic sections (parabola,
ellipse and hyperbola) in standard forms, condition for y = mx + c to be a
tangent and point (s) of tangency.

UNIT 12: Three Dimensional Geometry


Coordinates of a point in space, distance between two points, section
formula, direction ratios and direction cosines, angle between two
intersecting lines. Skew lines, the shortest distance between them and its
equation. Equations of a line and a plane in different forms, intersection of a
line and a plane, coplanar lines.

UNIT 13: Vector Algebra

Vectors and scalars, addition of vectors, components of a vector in two
dimensions and three dimensional space, scalar and vector products, scalar
and vector triple product.

UNIT 14: Statistics and Probability

Measures of Dispersion

Calculation of mean, median, mode of grouped and ungrouped data.
Calculation of standard deviation, variance and mean deviation for grouped
and ungrouped data.

Probability

Probability of an event, addition and multiplication theorems of probability,
Baye’s theorem, probability distribution of a random variate, Bernoulli trials
and Binomial distribution.

UNIT 15: Trigonometry

Trigonometrical identities and equations. Trigonometrical functions. Inverse
trigonometrical functions and their properties. Heights and Distances.

UNIT 16: Mathematical Reasoning

Statements, logical operations and, or, implies, implied by, if and only if.
Understanding of tautology, contradiction, converse and contrapositive.



JEE (Main) Aptitude Test Syllabus



Only applicable for B.Arch./B. Planning Candidates



Part I


Awareness of persons, places, Buildings, Materials.) Objects, Texture related
to Architecture and build~environment. Visualising three dimensional objects
from two dimensional drawings. Visualising. different sides of three
dimensional objects. Analytical Reasoning Mental Ability (Visual, Numerical
and Verbal).

Part II

Three dimensional - perception: Understanding and appreciation of scale and
proportion of objects, building forms and elements, colour texture, harmony
and contrast. Design and drawing of geometrical or abstract shapes and
patterns in pencil. Transformation of forms both 2 D and 3 D union,
substraction, rotation, development of surfaces and volumes, Generation of
Plan, elevations and 3 D views of objects. Creating two dimensional and
three dimensional compositions using given shapes and forms.

Sketching of scenes and activities from memory of urbanscape (public space,
market, festivals, street scenes, monuments, recreational spaces etc.),
landscape (river fronts, jungles. gardens, tre es, plants etc.) and rural life.


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