1. ## WBJEE 2013 Syllabus

Aspirants are hereby advised to take part in the All India UG medical/dental Entrance Exam NEET UG 2013 for MBBS and Dental courses admission from academic session 2013 – 2014. However, WBJEEB will continue to conduct the Common Entrance Examination WBJEE 2013 for admission to undergraduate Engineering and Technology/Pharmacy/Architecture courses in West Bengal. More details West Bengal Common Entrance Examination (WBJEE 2013) will be announced in the first week of Jan 2013 Online Application Form fill up for the said Entrance Exam for the 2013 – 2014 session will start by the 2nd week of Jan 2013 and will continue for at least one month.

Syllabus WBJEE 2013:

Physics

Mechanics & General properties of matter

(i) Units and dimensions : Units of measurement, system of units, fundamental and derived units, S I units,
dimensional analysis
Methods of measurement: Vernier scale, screw gauge, analysis of errors, significant figures.
(ii) Scalars and vectors: Addition, subtraction, multiplication of vectors
(iii) Kinematics in one, two and three dimensions, projectiles, uniform circular motion, centripetal force,
centrifugal force, relative velocity
(iv) Dynamics: Newton's laws of motion; inertial frames, uniformly accelerated frame (pseudo-forces),
conservation of linear momentum, rocket motion, centre of mass, impulsive forces, friction.
(v) Work, Power and Energy, conservative and non-conservative forces, conservation of energy,
collision (elastic and inelastic).
(vi) Rotational motion : Torque, angular momentum and conservation of angular momentum, moment of
inertia, radius of gyration, moment of inertia of objects with simple geometrical shapes, rotational
kinetic energy and rolling on horizontal surface
Gravitation: Laws of gravitation, gravitational field and potential, acceleration due to gravity and its variation,
escape velocity, Kepler's laws and planetary motion, motion of satellites, Geostationary orbit.
Elasticity: Hooke's law, elastic modulii, Poisson's ratio, elastic energy.
Hydrostatics and Fluid Mechanics: Pressure in a fluid, Pascal's law, Archimedes' principle, hydraulic press.
Surface energy and surface tension, capillary rise.
Viscosity, streamline and turbulent motion, critical velocity, Reynold's number, Stoke's law, Bernoulli's theorem.
Vibrations: Simple Harmonic Motion, equation of motion, damped and forced vibrations, resonance,
superposition of SHM.
Wave motion: Elastic waves, longitudinal and transverse waves, progressive waves, superposition of waves:
interference, stationary waves, beats, vibration of strings, air columns, velocity of elastic waves in different
media, Doppler effect.
Thermal Physics: Scales of temperature, thermal expansion of solids, liquids and gases, calorimetry, change
of state of matter, latent heat, transition temperature, Transmission of heat: conduction, convection, radiation,
Black body radiation, absorptive and emissive powers: Kirchoff’s law, Wien's law, Stefan's law, Newton's
law of cooling, Kinetic theory: mean free path, pressure of an ideal gas, mean and rms velocity of molecules of a
Gas, kinetic interpretation of temperature, degrees of freedom, equipartition of energy (statement only) application
to mono atomic and diatonic gases.
Thermodynamics: First law of thermodynamics, equivalence of heat and work, intensive and
extensive thermodynamic variables, reversible and irreversible processes, specific heats of gases, relation
between Cp and Cv.
Optics: Reflection and refraction at plane and spherical surfaces, total internal reflection, thin lenses, power
of a lens, combination of lenses and mirrors, deviation and dispersion by prisms, Simple and compound
microscopes, astronomical telescope, human eye: defects and remedies.
Coherent sources, interference of light, Young's double slit.
Electrostatics: Coulomb's law, electric field and potential, flux of electric field, Gauss' law, electric field
and potential due to an infinite line charge, charged infinite sheet, solid spheres and spherical shells.Electric
dipole and field due to dipole.
Capacitance, spherical and parallel plate capacitors, energy stored in a capacitor, series and parallel
combination of capacitors.
Current Electricity: Electric current, drift velocity and mobility. Ohm's law, resistivity, combination of
resistances in series and parallel, combination of cells.
Kirchoffs laws, Wheat stone bridge, Metre bridge, potentiometer.
Heating effect of current, thermoelectricity, see beck and Peltier effect.
Chemical effect of current, Faraday's law of electrolysis, primary and secondary cells.
Electromagnetism: Magnetic effects of Current, Biot Savart's law, magnetic field due to an
infinite line charge, circular coil and solenoid, Ampere's circuital law, Lorentz force, Fleming's left hand rule,
force between two current carrying conductors, magnetic moment of a current loop, magnetic dipole, torque
experienced by a current carrying coil in a uniform magnetic field, galvanometer, current sensitivity, conversion
of galvanometer to voltmeter and ammeter.
Magnetic field of earth. tangent galvanometer, magnetic properties of materials : Dia, para and
ferromagnet, permeability, susceptibility.
Electromagnetic induction : Magnetic flux, Faraday's laws of electromagnetic induction, Lenz's law, self
and mutual induction, , Flemings right hand rule, Alternating current, peak and rms value of alternating
current; generator, D.C. motor and transformer
Qualitative idea of electromagnetic wave and its spectrum.
Modern Physics: Bohr's atomic model for hydrogen like atom, hydrogen spectrum, x-ray emission,
Moseley's law, wave particle duality, de Broglie's hypothesis, photo-electric effect .
Constituents of atoms, isotopes, mass defect, mass-energy equivalence, binding energy. radioactivity – α,
β, γ radiation, half life, mean life, fission, fusion.
Energy bands in solids, intrinsic and doped semiconductors, p-n junction diode, rectifier, pnp and npn transistors,
common emitter characteristics.
Binary number, AND, OR, NOT, NAND and NOR gates.

Mathematics

Algebra

A.P., G.P., H.P.: Definitions of A. P. and G.P.; General term; Summation of first n-terms; A.M. and G.M.;
Definitions of H.P. (only 3 terms) and H.M.; Finite arithmetico-geometric series.
Logarithms: Definition; General properties; Change of base.
Complex Numbers: Definition and properties of complex numbers; Complex conjugate; Triangle inequality;
Square root of complex numbers; Cube roots of unity; D'Moivre's theorem (statement only) and its elementary
applications.
coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression
ax2+bx+c (where a, b, c are rational numbers and a ≠ 0).
Permutation and combination: Permutation of n different things taken r at a time (r ≤ n). Permutation of n
things not all different. Permutation with repetitions (circular permutation excluded).
Combinations of n different things taken r at a time (r ≤ n). Combination of n things not all different. Basic
properties.
Problems involving both permutations and combinations.
Principle of mathematical induction: Statement of the principle, proof by induction for the sum of squares, sum
of cubes of first n natural numbers, divisibility properties like 22n
— 1 is divisible by 3 (n ≥ 1), 7 divides 32n+1+2n+2 (n
≥ 1)
Binomial theorem (positive integral index): Statement of the theorem, general term, middle term, equidistant
terms, properties of binomial coefficients.
Infinite series: Binomial theorem for negative and fractional index. Infinite G.P. series, Exponential and
Logarithmic series with range of validity (statement only), simple applications.
Matrices: Concepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and
multiplication of matrices. Transpose of a matrix. Determinant of a square matrix. Properties of
determinants (statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a
matrix. Finding area of a triangle. Solutions of system of linear equations. (Not more than 3 variables).
Sets, Relations and Mappings: Idea of sets, subsets, power set, complement, union, intersection and
difference of sets, Venn diagram, De Morgan's Laws, Inclusion / Exclusion formula for two or three finite sets,
Cartesian product of sets.
Relation and its properties. Equivalence relation — definition and elementary examples, mappings, range and
domain, injective, surjective and bijective mappings, composition of mappings, inverse of a mapping.
Probability: Classical definition, addition rule, conditional probability and Bayes' theorem, independence,
multiplication rule.
Trigonometry
Trigonometric ratios, compound angles, multiple and submultiple angles, general solution of trigonometric
equations. Properties of triangles, inverse trigonometric functions.
Coordinate geometry of two dimensions
Basic Ideas: Distance formula, section formula, area of a triangle, condition of collinearity of three points in a
plane.
Polar coordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of
axes, concept of locus, elementary locus problems.
Straight line: Slope of a line. Equation of lines in different forms, angle between two lines. Condition of
perpendicularity and parallelism of two lines. Distance of a point from a line. Distance between two parallel
lines. Lines through the point of intersection of two lines.
Circle: Equation of a circle with a given center and radius. Condition that a general equation of second degree
in x, y may represent a circle. Equation of a circle in terms of endpoints of a diameter . Parametric equation of
a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles.
Conics : Definition, Directrix, Focus and Eccentricity, classification based on eccentricity.
Parabola : Standard equation. Reduction of the form x = ay2+by+c or y = ax2+bx+c to the standard form y2
= 4ax or x2 = 4ay respectively. Elementary properties and parametric equation of a parabola.
Ellipse and Hyperbola: Reduction to standard form of general equation of second degree when xy term is
absent. Conjugate hyperbola. Simple properties. Parametric equations. Location of a point with respect to
a conic.
Calculus
Differential calculus: Functions, composition of two functions and inverse of a function, limit, continuity,
derivative, chain rule, derivatives of implicit functions and of functions defined parametrically.
Rolle's Theorem and Lagrange's Mean Value theorem (statement only). Their geometric interpretation
and elementary application. L'Hospital's rule (statement only) and applications.
Second order derivative.
Integral calculus: Integration as a reverse process of differentiation, indefinite integral of standard functions.
Integration by parts. Integration by substitution and partial fraction.
Definite integral as a limit of a sum with equal subdivisions. Fundamental theorem of integral calculus and its
applications. Properties of definite integrals.
Differential Equations: Formulation and solution of differential equations of the forms.
1) dy / dx = f(x).g(y)
2) dy /. dx = f(y/x)
3) dy / dx = (ax+by) / (cx+dy)
4) dy / dx = (a,x+b,y+c,) / (a,x+b,y+c, ), (a,/a
2
= b,/b,)
5) dy / dx + p(x)y = Q(x)
6) d2y / dx2 + p, dy/dx + p2y = 0 with p1 and p, constants.
7) d2y/dx2 = f(x)
Application of Calculus: Tangents and normals, conditions of tangency. Determination of monotonicity, maxima
and minima. Differential coefficient as a measure of rate.
Motion in a straight line with constant acceleration.
Geometric interpretation of definite integral as area, calculation of area bounded by elementary curves and Straight
lines. Area of the region included between two elementary curves.

Chemistry

Atoms, Molecules and Chemical Arithmetic:
Dalton’s atomic theory; Gay Lussac’s law of gaseous volume; Avogadro’s Hypothesis and its applications.
Atomic mass; Molecular mass; Equivalent weight; Valency; Gram atomic weight; Gram molecular weight;
Gram equivalent weight and mole concept; Chemical formulae; Balanced chemical equations; Calculations
(based on mole concept) involving common oxidation-reduction, neutralization, and displacement reactions;
Concentration in terms of mole fraction, molarity, molality and normality.
Percentage composition, empirical formula and molecular formula; Numerical problems.
Atomic Structure
Concept of Nuclear Atom — electron, proton and neutron (charge and mass), atomic number; Rutherford's
model and its limitations; Extra nuclear structure; Line spectra of hydrogen atom.
Quantization of energy (Planck's equation E = hν); Bohr's model of hydrogen atom and its limitations,
Sommerfelds modifications (elementary idea); The four quantum numbers, ground state electronic configurations
of many electron atoms and mono-atomic ions; The Aufbau Principle; Pauli's Exclusion Principle and Hund's Rule.
Uncertainty principle; The concept of atomic orbitals, shapes of s, p and d orbitals (pictorial approach)
Radioactivity — α-, β-, γ-rays and their properties; Artificial transmutation; Rate of radioactive decay, decay
constant, half-life and average life period of radio-elements; Units of radioactivity, Numerical problems.
Stability of the atomic nucleus — effect of neutron—proton (nip) ratio on the modes of decay, group displacement
law, radioisotopes and their uses (C, P, Co and I as examples) isobars and isotones (definition and examples),
elementary idea of nuclear fission and fusion reactions.
The Periodic Table and Chemical Families
Modern periodic law (based on atomic number); Modern periodic table based on electronic configurations,
groups (Gr. 1-18) and periods. Types of elements-representative (s-block and p-block), transition (d-block)
elements and inner transition (f-block / lanthanides and actinides) and their general characteristics. Periodic
trends in physical and chemical properties—atomic radii, valency, ionization energy, electron affinity,
electronegativity, metallic character, acidic and basic characters of oxides and hydrides of the representative
elements (up to Z = 36). Position of hydrogen and the noble gases in the periodic table; Diagonal relationships.
Chemical Bonding and Molecular Structure
Valence electrons, the Octet rule, electrovalent, covalent and coordinate covalent bonds with examples; Properties
of electrovalent and covalent compounds. Limitations of Octet rule (examples); Fajan's Rule.
Directionality of covalent bonds, shapes of poly-atomic molecules (examples); Concept of hybridization of
atomic orbitals (qualitative pictorial approach) : sp, sp2, sp3 and dsp2.
Molecular orbital energy diagrams for homonuclear diatomic species - bond order and magnetic properties.
Valence Shell Electron Pair Repulsion (VSEPR) concept (elementary idea) — shapes of molecules. Concept of
resonance (elementary idea), resonance structures (examples). Elementary idea about electro negativity,
bond polarity and dipole moment, inter- and intra- molecular hydrogen bonding and its effects on physical
properties (mp, bp and solubility); Hydrogen bridge bonds in diborane.
Double salts and complex salts, co-ordination compounds (examples only), co-ordination number (examples
of co-ordination number 4 and 6 only).
Gaseous state
Measurable properties of gases. Boyle's Law and Charles Law, absolute scale of temperature, kinetic theory of
gases, ideal gas equation — average, root mean square and most probable velocities and their relationship with
temperature.
Dalton's Law of partial pressure, Graham's Law of gaseous diffusion. Deviations from ideal behavior.
Liquefaction of gases, real gases, van der Waal's equation; Numerical problems.
Chemical Energetics and Chemical Dynamics
Chemical Energetics — Conservation of energy principle, energy changes in physical and chemical
transformations. First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy.
Internal energy change (E) and Enthalpy change (H) in a chemical reaction. Hess's Law and its applications
(Numerical problems). Heat of reaction, fusion and vapourization; Second law of thermodynamics;
Entropy; Free energy; Criterion of spontaneity.
Chemical Equilibria — The Law of mass action, dynamic nature of chemical equilibria. Equilibrium constants,
Le Chatelier's Principle. Equilibrium constants of gaseous reactions (Kp and Kc) and relation between
them (examples). Significance of G and G°.
Chemical Dynamics — Factors affecting the rate of chemical reactions (concentration, pressure, temperature,
catalyst). Arrhenius equation and concept of activation energy.
Order and molecularity (determination excluded); First order reactions, rate constant, half-life (numerical
problems), examples of first order and second order reactions.
Physical Chemistry of Solutions
Colloidal Solutions — differences from true solutions; Hydrophobic and hydrophilic colloids (examples and uses);
Coagulation and peptization of colloids; Dialysis and its applications; Brownian motion; Tyndall effect and its
applications; Elementary idea of emulsion, surfactant and micelle.
Electrolytic Solutions — Specific conductance, equivalent conductance, ionic conductance, Kohlrausch's law,
Faraday's laws of electrolysis, applications. Numerical problems.
Non-electrolytic Solutions — Types of solution, vapour pressure of solutions. Raoult's Law; Colligative properties —
lowering of vapour pressure, elevation of boiling point, depression of freezing point, osmotic pressure and their
relationships with molecular mass (without derivations); Numerical problems.
Ionic and Redox Equilibria
Ionic equilibria — ionization of weak electrolytes, Ostwald's dilution law. Ionization constants of weak acids and
bases, ionic product of water, the pH - scale, pH of aqueous solutions of acids and bases; Buffer solutions, buffer action
and Henderson equation.
Acid-base titrations, acid-base indicators (structures not required).
Solubility and Solubility Products.
Common ion effect (no numerical problems).
Redox Equilibria — Oxidation-Reduction reactions as electron transfer processes, oxidation numbers, balancing of
redox reactions by oxidation number and ion-electron methods.
Standard electrode potentials (E°), Electrochemical series, feasibility of a redox reaction.
Significance of Gibb's equation: G° = - nFE° (without derivation), no numerical problems. Redox
titrations with (examples); Nernst equations (Numerical problems).
Chemistry of Non-metallic Elements and their Compounds
Carbon — occurrence, isotopes, allotropes (graphite, diamond, fullerene); CO and CO, production, properties and
uses.
Nitrogen and Phosphorus — occurrence, isotopes, allotopes, isolation from natural sources and purification,
reactivity of the free elements. Preparation, properties, reactions of NH3, PH3 , NO, NO2, HNO2, HNO3, P4O10,
H3PO3 and H3PO4.
Oxygen and Sulphur — Occurrence, isotopes, allotropic forms, isolation from natural sources and purification,
properties and reactions of the free elements. Water, unusual properties of water, heavy water (production and
uses). Hydrogen peroxide and ozone (production, purification, properties and uses).
Halogen
Halogens - comparative study, occurrence, physical states and chemical reactivities of the free
elements, peculiarities of Fluorine and iodine; Hydracids of halogens (preparation, properties, reactions
and uses), interhalogen compounds (examples); Oxyacids of chlorine.
Chemistry of Metals:
General principles of metallurgy - occurrence, concentration of ores, production and purification of
metals, mineral wealth of India.
Typical metals (Na, Ca, Al, Fe, Cu and Zn) - occurrence, extraction, purification (where applicable),
properties and reactions with air, water, acids and non-metals.
Manufacture of steels and alloy steel (Bessemer, Open-Hearth and L.D. process).
Principles of chemistry involved in electroplating, anodizing and galvanizing.
Chemistry in Industry
Large scale production (including physicochemical principles where applicable omitting technical details
and uses of individual items).
Heavy Chemicals: Sulphuric acid (contact process), Ammonia (Haber's process), Nitric acid (Ostwald's
process), sodium bi-carbonate and sodium carbonate (Solvey process).
Polymers, Polythene, Nylon-66, rubber from natural source, vulcanization.
Electrochemicals - sodium hydroxide, chlorine, bleaching powder as
byproducts, Fuel Gases - LPG, CNG.
Silicon carbide and silicones.
Environmental Chemistry
Common modes of pollution of air, water and soil. Ozone layer, ozone hole - important chemical
reactions. Green House effect; Smog; Pollution of water by domestic and industrial effluents; Pollutantspesticides,
fertilizers and plastics.
Chemistry of Carbon Compounds
Hybridization of carbon - σ- and π-bonds.
Isomerism -constitutional and stereoisomerism; Geometrical and optical isomerism of compounds
containing upto two asymmetric carbon atoms. IUPAC nomenclature of simple organic compoundshydrocarbons,
mono and bifunctional molecules only (alicyclic and heterocyclic compounds excluded).
Conformations of ethane and n-butane (Newman projection only).
Electronic Effects — inductive, resonance and hyperconjugation. Stability of carbocation, carbanion and
free radicals; Rearrangement of carbocation; Electrophiles and nucleophiles, tautomerism in â-dicarbonyl
compounds, acidity and basicity of simple organic compounds.
Aliphatic Compounds
Alkanes -- Preparation from alkyl halides and carboxylic acids; Reactions — halogenation and combustion.
Alkenes and Alkynes — Preparation from alcohols; Formation of Grignard reagents and their
synthetic applications for the preparation of alkanes, alcohols, aldehydes, ketones and acids; SNl and
SN2 reactions (preliminary concept).
Markownikoff's and anti-Markownikoff's additions; Hydroboration; Oxymercuration — demercuration,
reduction of alkenes and alkynes (H2/Lindler catalyst and Na in liquid NH3), metal acetylides.
Alkyl halides -- Preparation from alcohols; Formation of Grignard reagents and their synthetic applications
for the preparation of alkanes, alcohols, aldehydes, ketones and acids; SN 1 and SN2 reactions (preliminary
concept).
Alcohols — Preparation from carbonyl compounds and esters. Reaction — dehydration, oxidation,
esterification, reaction with sodium, ZnCl2/ HCl, phosphorous halides.
Ethers — Preparation by Williamson's synthesis; Cleavage with HCl and HI.
Aldehydes and Ketones — Preparation from esters, acid chlorides, gem-dihalides, Ca-salt of carboxylic
acids. Reaction — Nucleophilic addition with HCN, hydrazine, hydroxyl amines, semi carbazides,
alcohols; Aldol condensation, Clemmensen and Wolff-Kishner reduction, haloform, Cannizzaro and
Wittig reactions.
Carboxylic Acids — Hydrolysis of esters (mechanism excluded) and cyanides; Hunsdicker and HVZ reactions.
Aliphatic Amines — Preparation from nitro, cyano and amido compounds. Distinction of 10, 2° and 3°
amines (Hinsberg method); Reaction with HNO2 ; Carbyl amine reaction.
Aromatic Compounds
Benzene — Kekule structure, aromaticity and Huckel rule. Electrophilic substitution — halogenation, sulfonation,
nitration, Friedel Crafts reaction, ozonolysis. Directive influence of substituents in monosubstituted benzenes.
Amines — Preparation from reduction of nitro compounds; Formation of diazonium salts and their
stability; Replacement of diazonium group with H, OH, X (halogen), CN and NO2 diazocoupling and reduction.
Haloarenes — Nucleophilic substitution, cine substitution (excluding mechanism).
Phenols — halogenation, sulfonation, nitration, Reimer-Tiemann and Kolbe reactions.
Aromatic Aldehydes — Preparation by Gattermann, Gattermann — Koch, Rosenmund and Stephen's method.
Reactions — Perkin, Benzoin and Cannizzaro.
Application Oriented Chemistry
Main ingredients, their chemical natures (structures excluded) and their side effects, if any, of common
antiseptics, analgesics, antacids, vitamin-C.
Introduction to Bio-Molecules
Carbohydrates — Pentoses and hexoses. Distinctive chemical reactions of glucose.
Aminoacids — glycine, alanine, aspartic acid, cysteine (structures). Zwitterion structures of amino acids, peptide
bond.
ADP and ATP — structures and role in bioenergetics; Nucleic acids — DNA and RNA skeleton structures. Names
of essential elements in biological system.
Principles of Qualitative Analysis
Detection of water soluble noninterfering Acid and Basic Radicals by dry and wet tests from among:
(a) Acid Radicals : Cl-, S2-, SO4
2-, NO-
3, CO3
2-(b) Basic Radicals: Cu2+, Al3+, Fe3+, Fe2+, Zn2+, Ca2+, Mg2+, Na+, NH4
+
Detection of special elements (N, Cl, Br, I and S) in organic compounds by chemical tests. Identification of
functional groups in: phenols, aromatic amines, aldehydes, ketones and carboxylic acids.

2. ## Re: WBJEE 2013 Syllabus

Which author books you recommend on this syllabus??