The WBJEE 2014 programme are going to be ready on basis of sophistication XII programme. The candidates World Health Organization ar aiming to write the WBJEE 2014 Examination Syllabus should observe of the topics in every subject to arrange and indurate the exam.
WBJEE 2014 programme for Physics:
Gravitation: Laws of gravitation, field of force and potential, acceleration as a result of gravity and its variation, speed, Kepler’s laws and planetary motion, motion of satellites, geosynchronous orbit.
Elasticity: law of nature, elastic modulii, Poisson’s quantitative relation, P.E.
Mechanics & General properties of matter
Units and dimensions : Units of mensuration, system of units, elementary and derived units, S I units,dimensional analysis ways of measurement: scale, screw gauge, analysis of errors, important figures.
Scalars and vectors: Addition, subtraction, multiplication of vectors
mechanics in one, 2 and 3 dimensions, projectiles, uniform circular motion, force, force, relative rate
Dynamics: Newton’s laws of motion; mechanical phenomenon frames, uniformly accelerated frame (pseudo-forces), conservation of linear momentum, rocket motion, centre of mass, impulsive forces, friction.
Work, Power and Energy, conservative and non-conservative forces, conservation of energy, collision (elastic and inelastic).
(Rotational motion : torsion, momentum and conservation of momentum, moment of inertia, radius of gyration, moment of inertia of objects with easy geometrical shapes, move K.E. and rolling on level
Vibrations: easy periodic movement, equation of motion, damped and made vibrations, resonance, superposition of SHM.
Wave motion: Elastic waves, longitudinal and thwartwise waves, progressive waves, superposition of waves: interference, stationary waves, beats, vibration of strings, air columns, rate of elastic waves in several media, propagation.
Hydrostatics and Fluid Mechanics: Pressure in a very fluid, law of nature, Archimedes’ principle, press.Surface energy and physical phenomenon, capillary rise. Viscosity, contour and turbulent motion, essential rate, Reynold’s variety, Stoke’s law, Bernoulli’s theorem.
Thermal Physics: Scales of temperature, thermal enlargement of solids, liquids and gases, measure, amendment of state of matter, heat, transition temperature, Transmission of heat: conductivity, convection, radiation, Black body radiation, absorbent and emissive powers: Kirchoff’s law, Wien’s law, Stefan’s law, Newton’s
law of cooling, Kinetic theory: mean free path, pressure of a perfect gas, mean and rms rate 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: initial law of physics, equivalence of warmth and work, intensive and intensive physics variables, reversible and irreversible processes, specific heats of gases, relation between Cp and Cv.
Electrostatics: law of nature, field and potential, flux of electrical field, Gauss’ law, field ANd potential as a result of an infinite line charge, charged infinite sheet, solid spheres and spherical shells. dipole and field as a result of dipole. Capacitance, spherical and parallel plate capacitors, energy hold on in a very condenser, series and parallel
combination of capacitors.
Current Electricity: electrical phenomenon, drift rate and quality. Ohm’s law, electric resistance, combination of resistances asynchronous and parallel, combination of cells. Kirchoffs laws, Wheat stone bridge, Metre bridge, potentiometer. Heating impact of current, electricity, see motion and Peltier impact. Chemical impact of current, Faraday’s law of electrolysis, primary and secondary cells
Electromagnetism: Magnetic effects of Current, Biot Savart’s law, force field as a result of AN infinite line charge, circular coil and coil, Ampere’s circuital law, Lorentz force, Fleming’s hand rule, force between 2 current carrying conductors, torsion of a current loop, dipole, torsion older by a current carrying coil in a very uniform force field, meter, current sensitivity, conversion of meter to meter and meter. force field of earth. tangent meter, magnetic properties of materials : military intelligence, para and ferromagnet, porousness, condition. magnetic force induction : Magnetic flux, Faraday’s laws of magnetic force induction, Lenz’s law, self and mutual induction, , Flemings paw rule, AC, peak and rms price of alternating current; generator, D.C. motor and electrical device Qualitative plan of nonparticulate radiation and its spectrum
Optics: Reflection and refraction at plane and spherical surfaces, total internal reflection, skinny lenses, power of a lens, combination of lenses and mirrors, deviation and dispersion by prisms, easy and compound microscopes, scope, human eye: defects and remedies.
Coherent sources, interference of sunshine, Young’s double slit
Modern Physics: Bohr’s atomic model for element like atom, element spectrum, x-ray emission, Moseley’s law, wave particle duality, Delaware Broglie’s hypothesis, photo-electric impact . Constituents of atoms, isotopes, mass deficiency, rule, energy. emission – α,β, γ radiation, half life, mean life, fission, fusion.
Energy bands in solids, intrinsic and doped semiconductors, contact diode, rectifier, pnp and npn transistors, common electrode characteristics.
Binary variety, AND, OR, NOT, NAND and NOR gates
WBJEE 2014 programme for Chemistry:
Atoms, Molecules and Chemical Arithmetic:
Dalton’s atomic theory; Gay Lussac’s law of vaporish volume; Avogadro’s Hypothesis and its applications. Atomic mass; Molecular mass; Equivalent weight; Valency; Gram atomic weight; Gram molecular weight; Gram equivalent and mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common chemical reaction, neutralization, and displacement reactions; Concentration in terms of mole fraction, molarity, concentration and normality.
Percentage composition, formula and molecular formula; Numerical issues.
Atomic Structure
Concept of Nuclear Atom — lepton, nucleon and nucleon (charge and mass), atomic number; Rutherford’s model and its limitations; further nuclear structure; Line spectra of atom. division of energy (Planck’s equation E = hν); Bohr’s model of atom and its limitations, Sommerfelds modifications (elementary idea); The four quantum numbers, state leptonic configurations of the many electron atoms and mono-atomic ions; The Aufbau Principle; Pauli’s law of nature and Hund’s Rule. Uncertainty principle; The thought of atomic orbitals, shapes of s, p and d orbitals (pictorial approach) emission and chemical science
Radioactivity — α-, β-, γ-rays and their properties; Artificial transmutation; Rate of decay, decay constant, half-life and average life amount of radio-elements; Units of emission, Numerical issues.
Stability of the atomic nucleus — impact of neutron—proton (nip) quantitative relation on the modes of decay, cluster displacement law, radioisotopes and their uses (C, P, Co and that i as examples) isobars and isotones (definition and examples), elementary plan of fission and fusion reactions
Chemical Bonding and Molecular Structure
Valence electrons, the Octet rule, electrovalent, valency and coordinate valency bonds with examples; Properties of electrovalent and valency compounds. Limitations of Octet rule (examples); Fajan’s Rule. directivity of valency bonds, shapes of poly-atomic molecules (examples); thought of hybridisation of atomic orbitals (qualitative pictorial approach) : sp, sp2, sp3 and dsp2.
Molecular orbital energy diagrams for homonuclear matter species – bond order and magnetic properties.
Valence Shell lepton try Repulsion (VSEPR) thought (elementary idea) — shapes of molecules. thought of resonance (elementary idea), resonance structures (examples). Elementary plan regarding electro negativity, bond polarity and moment, inter- and intra- molecular element bonding and its effects on physical properties (mp, bp and solubility); element bridge bonds in diborane.
Double salts and sophisticated salts, co-ordination compounds (examples only), co-ordination variety (examples of co-ordination variety four and half-dozen only).
The table and Chemical Families
Modern law of nature (based on atomic number); fashionable table supported electronic configurations, groups (Gr. 1-18) and periods. sorts of elements-representative (s-block and p-block), transition (d-block) parts and inner transition (f-block / lanthanides and actinides) and their general characteristics. Periodic
trends in physical and chemical properties—atomic radii, valency, ionization energy, lepton affinity, inclination, gold character, acidic and basic characters of oxides and hydrides of the representative parts (up to Z = 36). Position of element and therefore the noble gases within the periodic table; Diagonal relationships
Gaseous state
Measurable properties of gases. law and Charles Law, temperature scale of temperature, kinetic theory of gases of gases, gas equation — average, root mean sq. and most probable velocities and their relationship with temperature. Dalton’s Law of partial pressure, Graham’s Law of vaporish diffusion. Deviations from ideal behavior. phase change of gases, real gases, van der Waal’s equation; Numerical issues
Physical Chemistry of Solutions
Colloidal Solutions — variations from true solutions; Hydrophobic and hydrophilic colloids (examples and uses); curdling and peptisation of colloids; qualitative analysis and its applications; Brownian motion; Tyndall effect and its applications; Elementary plan of emulsion, chemical agent and particle.
Electrolytic Solutions — Specific electrical phenomenon, equivalent electrical phenomenon, ionic electrical phenomenon, Kohlrausch’s law, Faraday’s laws of electrolysis, applications. Numerical issues.
Non-electrolytic Solutions — sorts of resolution, vapor pressure of solutions. Raoult’s Law; Colligative properties — lowering of vapor pressure, elevation of boiling purpose, depression of melting point, pressure and their relationships with molecular mass (without derivations); Numerical issues.
Ionic and oxidoreduction Equilibria
Ionic equilibria — ionization of weak electrolytes, Ostwald’s dilution law. Ionization constants of weak acids and bases, ionic product of water, the hydrogen ion concentration – scale, hydrogen ion concentration of liquid solutions of acids and bases; Buffer solutions, buffer action
and Henderson equation.
Acid-base titrations, acid-base indicators (structures not required).
Solubility and Solubility product.
Common particle impact (no numerical problems).
Redox Equilibria — chemical reaction reactions as lepton transfer processes, oxidisation numbers, leveling of oxidoreduction reactions by oxidation state and ion-electron ways.
Standard conductor potentials (E°), electromotive series, feasibleness of a oxidoreduction reaction. Significance of Gibb’s equation: _G° = – nF_E° (without derivation), no numerical issues. oxidoreduction titrations with (examples); Nernst equations (Numerical problems).
Chemical Energetics and Chemical Dynamics:
Chemical Energetics — Conservation of energy principle, energy changes in physical and chemical transformations. initial law of thermodynamics; Internal energy, work and warmth, pressure-volume work; total heat. Internal energy amendment (_E) and total heat amendment (_H) in a very chemical process. Hess’s Law and its applications
(Numerical problems). Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneousness.
Chemical Equilibria — The Law of mass-action principle, dynamic nature of chemical equilibria. Equilibrium constants, lupus Chatelier’s Principle. Equilibrium constants of vaporish reactions (Kp and Kc) and relation between them (examples). Significance of silver and _G°.
Chemical Dynamics — Factors poignant the speed of chemical reactions (concentration, pressure, temperature, catalyst). physicist equation and thought of energy.
Order and molecularity (determination excluded); initial order reactions, rate constant, half-life (numerical problems), samples of initial order and second order reactions.
Chemistry of Non-metallic parts and their Compounds
Carbon — incidence, isotopes, allotropes (graphite, diamond, fullerene); CO and CO, production, properties and uses.
Nitrogen and Phosphorus — incidence, isotopes, allotopes, isolation from natural sources and purification, reactivity of the free parts. Preparation, properties, reactions of NH3, PH3 , NO, NO2, HNO2, HNO3, P4O10, H3PO3 and H3PO4.
Oxygen and Sulphur — incidence, isotopes, chemical phenomenon forms, isolation from natural sources and purification, properties and reactions of the free parts. Water, uncommon properties of water, moderator (production and uses). oxide and gas (production, purification, properties and uses).
Chemistry of Metals:
General principles of scientific discipline – incidence, concentration of ores, production and purification of metals, mineral wealth of Asian nation.
Typical metals (Na, Ca, Al, Fe, copper and Zn) – incidence, extraction, purification (where applicable), properties and reactions with air, water, acids and non-metals.
Manufacture of steels and steel (Bessemer, Open-Hearth and L.D. process).
Principles of chemistry concerned in electroplating, anodizing and galvanising.
Halogen
Halogens – comparative study, occurrence, physical states and chemical reactivities of the free parts, peculiarities of chemical element and iodine; Hydracids of halogens (preparation, properties, reactions and uses), interhalogen compounds (examples); Oxyacids of chemical element
Chemistry of Metals:
General principles of scientific discipline – incidence, concentration of ores, production and purification of metals, mineral wealth of Asian nation.
Typical metals (Na, Ca, Al, Fe, copper and Zn) – incidence, extraction, purification (where applicable), properties and reactions with air, water, acids and non-metals.
Manufacture of steels and steel (Bessemer, Open-Hearth and L.D. process).
Principles of chemistry concerned in electroplating, anodizing and galvanising.
Chemistry in trade
Large scale production (including chemical science principles wherever applicable omitting technical details and uses of individual items).
Heavy Chemicals: acid (contact process), Ammonia (Haber’s process), aqua fortis (Ostwald’s process), metal bi-carbonate and soda ash (Solvey process).
Polymers, Polythene, Nylon-66, rubber from natural supply, vulcanisation. Electrochemicals – hydrated oxide, chlorine, bleaching agent as byproducts, Fuel Gases – LPG, CNG. carbide and silicones.
Environmental Chemistry
Common modes of pollution of air, water and soil. layer, hole – necessary chemical reactions. inexperienced 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. state -constitutional and stereoisomerism; Geometrical and optical state of compounds containing upto 2 uneven carbon atoms. IUPAC terminology of easy organic compounds hydrocarbons, mono and bifunctional molecules solely (alicyclic and heterocyclic compounds excluded). Conformations of C2H6 and n-butane (Newman projection only).
Electronic Effects — inductive, resonance and hyperconjugation. Stability of carbocation, carbanion and free radicals; arrangement of carbocation; Electrophiles and nucleophiles, tautomerism in â-dicarbonyl compounds, acidity and basicity of easy organic compounds.
Aliphatic Compounds
Alkanes — Preparation from chemical group halides and radical acids; Reactions — halogenation and combustion.
Alkenes and Alkynes — Preparation from alcohols; Formation of Grignard reagents and their artificial 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 metal in liquid NH3), metal acetylides. chemical group halides — Preparation from alcohols; Formation of Grignard reagents and their artificial applications for the preparation of alkanes, alcohols, aldehydes, ketones and acids; atomic number 50 one and SN2 reactions (preliminary concept).
Alcohols — Preparation from carbonyl compounds and esters. Reaction — dehydration, oxidation, esterification, reaction with metal, ZnCl2/ HCl, chemical element 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 radical acids. Reaction — Nucleophilic addition with HCN, hydrazine, hydroxyl radical amines, semi carbazides, alcohols; organic compound condensation, Clemmensen and Wolff-Kishner reduction, haloform, Cannizzaro and Wittig reactions.
Carboxylic Acids — reaction of esters (mechanism excluded) and cyanides; Hunsdicker and HVZ reactions. acyclic Amines — Preparation from nitro, cyano and amido compounds. Distinction of ten, 2° and 3° alkanes (Hinsberg method); Reaction with HNO2 ; Carbyl amine reaction.
Aromatic Compounds
Benzene — chemist 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 cation salts and their stability; Replacement of cation cluster 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 methodology.Reactions — Perkin, Benzoin and Cannizzaro
Application headed Chemistry
Main ingredients, their chemical natures (structures excluded) and their facet effects, if any, of common antiseptics, analgesics, antacids, vitamin-C.
Introduction to Bio-Molecules
Carbohydrates — Pentoses and hexoses. Distinctive chemical reactions of aldohexose.
Aminoacids — glycine, alanine, amino acid, aminoalkanoic acid (structures). Zwitterion structures of amino acids, chemical bond.
ADP and nucleotide — structures and role in bioenergetics; Nucleic acids — polymer and RNA skeleton structures. Names of essential parts in biological system.
Principles of chemical 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 parts (N, Cl, Br, I and S) in organic compounds by chemical tests. Identification of useful teams in: phenols, aromatic amines, aldehydes, ketones and radical acids.
WBJEE 2014 programme for Mathematics:
Algebra:
Complex Numbers: Definition and properties of complicated numbers; complicated conjugate; Triangle inequality; root of complicated numbers; Cube roots of unity; D’Moivre’s theorem (statement only) and its elementary applications.
A.P., G.P., H.P.: Definitions of A. P. and G.P.; General term; Summation of initial n-terms; A.M. and G.M.; Definitions of H.P. (only three terms) and H.M.; Finite arithmetico-geometric series
Quadratic Equations: Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic, sign and magnitude of the quadratic expression
ax2+bx+c (where a, b, c ar rational numbers and a ≠ 0).
Permutation and combination: Permutation of n various things taken r at a time (r ≤ n). Permutation of n things not all completely different. Permutation with repetitions (circular permutation excluded). mixtures of n various things taken r at a time (r ≤ n). Combination of n things not all completely different. Basic properties.
Problems involving each permutations and mixtures
Logarithms: Definition; General properties; amendment of base.
Principle of mathematical induction: Statement of the principle, proof by induction for the total of squares, total of cubes of initial n natural numbers, quality properties like 22n — one is severable by three (n ≥ 1), seven divides 32n+1+2n+2 (n≥ 1)
Binomial theorem (positive integral index): Statement of the theory, general term, term, equal terms, properties of binomial coefficients.
Infinite series: theorem for negative and fragmental index. Infinite G.P. series, Exponential and power series with vary of validity (statement only), easy applications
Matrices: ideas of m x n (m ≤ three, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. Determinant of a matrix. Properties of determinants (statement only). Minor, chemical compound and adjoint of a matrix. square matrix. Inverse of a matrix. Finding space of a triangle. Solutions of system of linear equations. (Not over three variables).
Sets, Relations and Mappings: plan of sets, subsets, power set, complement, union, intersection and distinction of sets, Venn’s diagram, Delaware Morgan’s Laws, Inclusion / Exclusion formula for 2 or 3 finite sets, set of sets. Relation and its properties. Equivalence relation — definition and elementary examples, mappings, vary and domain, injective, surjective and bijective mappings, composition of mappings, inverse of a mapping.
Probability: Classical definition, addition rule, contingent probability and Bayes’ theorem, independence, multiplication rule.
Coordinate geometry of 2 dimensions
Basic Ideas: Distance formula, section formula, space of a triangle, condition of collinearity of 3 points in a very plane.
Polar coordinates, transformation from Cartesian to polar coordinates and contrariwise. Parallel transformation of axes, thought of locus, elementary locus issues.
Straight line: Slope of a line. Equation of lines in several forms, angle between 2 lines. Condition of perpendicularity and correspondence of 2 lines. Distance of a degree from a line. Distance between 2 parallel lines. Lines through the purpose of intersection of 2 lines.
Circle: Equation of a circle with a given center and radius. Condition that a general equation of second degree in x, y might represent a circle. Equation of a circle in terms of endpoints of a diameter . constant quantity equation of a circle. Intersection of a line with a circle. Equation of triad of 2 decussate circles.
Conics : Definition, Directrix, Focus and Eccentricity, classification supported eccentricity.
Parabola : normal equation. Reduction of kind|the shape} x = ay2+by+c or y = ax2+bx+c to the quality form y2= 4ax or x2 = 4ay severally. Elementary properties and constant quantity equation of a conic section.
Ellipse and Hyperbola: Reduction to plain style of general equation of second degree once XY term is absent. Conjugate conic. easy properties. constant quantity equations. Location of a degree with reference to a conic.
Trigonometry
Trigonometric ratios, compound angles, multiple and submultiple angles, general resolution of pure mathematics equations. Properties of triangles, inverse pure mathematics functions.
Calculus
Differential calculus: Functions, composition of 2 operates and inverse of a function, limit, continuity, derivative, chain rule, derivatives of implicit functions and of functions outlined parametrically.
Rolle’s Theorem and Lagrange’s norm theorem (statement only). Their geometric interpretation and elementary application. L’Hospital’s rule (statement only) and applications. Second order spinoff.
Integral calculus: Integration as a reverse method of differentiation, integral of normal functions. Integration by components. Integration by substitution and partial fraction. integral as a limit of a total with equal subdivisions. elementary theorem of infinitesimal calculus and its applications. Properties of definite integrals.
Differential Equations: Formulation and resolution of differential equations of the forms.
1) metal / dx = f(x).g(y)
2) dy /. dx = f(y/x)
3) metal / dx = (ax+by) / (cx+dy)
4) metal / dx = (a,x+b,y+c,) / (a,x+b,y+c, ), (a,/a2= b,/b,)
5) metal / dx + p(x)y = Q(x)
6) d2y / dx2 + p, dy/dx + p2y = zero 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. derivative as a live of rate. Motion in a very line with constant acceleration. Geometric interpretation of integral as space, calculation of space delimited by elementary curves and Straight lines. space of the region enclosed between 2 elementary curves.
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WBJEE 2014 