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#### West Bengal Joint EntranceExamination-2022 (WBJEE-2022)

WBJEEB will conduct OMR based Common Entrance Examination (WBJEE-2022) for admission in the academic session 2022-23 into Undergraduate Courses in Engineering & Technology, Pharmacy and Architecture of different Universities, Government Colleges as well as Self Financing Engineering & Technological Institutes in the State of West Bengal.

#### Schedule of WBJEE-2022

Time schedule | Paper/ Subject | Date of Examination |
---|---|---|

23.04.2022(Saturday) | Paper-I (Mathematics) | 11:00 a.m. to 1.00 p.m |

(Tentative and may be changed in extraordinary circumstances) | Paper-II (Physics & Chemistry) | 2:00 p.m. to 4:00 p.m |

**Papers and ranks**

a) Candidates appearing in both paper-I and paper-II are eligible for both General Merit Rank (GMR) as well as Pharmacy Merit Rank (PMR). Such candidates are considered for admission in all courses.

b) Candidates appearing only in paper-II are eligible for PMR only. Such candidates are considered for admission into pharmacy courses only (except in Jadavpur University)

c) Candidates appearing only in paper-I are not eligible for any rank

#### Pattern of Question Papersin WBJEE-2022

Subject | Category-1 Each Q carries 1 mark (-ve marks = -1/4) | Category-2 Each Q carries 2 marks (-ve marks = -1/2) | Category-3 Each Q carries 2 marks (No -ve marks) | Total Number of Questions | Total Marks |
---|---|---|---|---|---|

No. of Question | No. of Question | No. of Question | |||

Mathematics | 50 | 15 | 10 | 75 | 100 |

Physics | 30 | 5 | 5 | 40 | 50 |

Chemistry | 30 | 5 | 5 | 40 | 50 |

#### Scoring Methodology

Category | Scoring methodology |
---|---|

1 | a) Only one option is correct. b) Correct response will yield 1 (one) mark for each question. c) Incorrect response will yield -1/4 (25% negative) marks for each question. d) For any combination of more than one option, even if it contains the correct option, the said answer will be treated as incorrect and will yield -¼ (negative ¼) marks. e) Not attempting the question will fetch zero mark. |

2 | a) Only one option is correct. b) Correct response will yield 2(two) marks for each question. c) Incorrect response will yield -1/2 (25% negative) marks for each question. d) For any combination of more than one option, even if it contains the correct option, the said answer will be treated as incorrect and will yield -1/2 (25% negative) marks. e) Not attempting the question will fetch zero mark. |

3 | a) One or more options is/are correct. b) Marking all correct options only will yield 2 (two) marks. c) For any combination of answers containing one or more incorrect options, the said answer will be treated as incorrect, and it will yield zero (0) mark even if one or more of the chosen options is/are correct. d) For partially correct answers, i.e., when all correct options are not marked and also no incorrect options are marked, marks awarded = 2 × (no of correct options marked) / (total no of actually correct options) e) Not attempting the question will fetch 0 marks |

**3.0 ****Eligibility criteria for appearing in the WBJEE-2022**

- Citizenship: Applicant must be a citizen of India OR OCI (subject to approval of the Competent Authority). OCI candidates will be eligible for only Unreserved seats in All India quota.
- Candidates must have passed OR must be appearing in 2022 in class 12 in (10+2) system only.
- Age Restriction:

- The lower age limit is 17 (seventeen) years as on 31.12.2022. A candidate should have been born on or before 31.12.2005. There is no upper age limit in appearing in the examination.
- However, for admission to the degree level Marine Engineering Course the upper age limit is 25 Years as on 31.12.2022

**Syllabus for WBJEE-2022**

#### MATHEMATICS

**Algebra**

A.P., G.P., H.P.: Definitions of A. P. and G.P.; General term; Summation of first n-terms of series ∑n, ∑n², ∑n^{3;} Arithmetic/Geometric series, A.M., G.M. and their relation; InfiniteG.P. series and its sum.

Logarithms: Definition; General properties; Changeof base.

Complex Numbers: Definition in terms of ordered pair of real numbers and properties of complex numbers; Complex conjugate; Triangle inequality; amplitude of complex numbers and its properties; Square root of complex numbers; Cube roots of unity; De Moivre’s theorem (statement only) and its elementary applications. Solution of quadratic equation in complex number system.

Polynomial equation: nth degree equationhas exactly n roots (statement only); Quadratic Equations: Quadratic equations with real coefficients; Relations between roots and coefficients; Nature of roots; Formation of a quadratic equation, sign and magnitude of the quadratic expression ax^{2}+bx+c (where a, b, c are rational numbersand 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 involvingboth 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 2^{2n} — 1 is divisible by 3 (n ≥ 1), 7divides 3^{2n+1}+2^{n+2} (n ≥ 1)

Binomial theorem (positive integral index): Statement of the theorem, general term, middle term, equidistant terms, properties of binomial coefficients.

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. Non-singular 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.

Statistics and Probability:

Measure of dispersion, mean, variance and standard deviation, frequency distribution. Additionand multiplication rules of probability, conditional probability and Bayes’ Theorem,independence of events,repeated independent trails and Binomial distribution.

**Trigonometry**

Trigonometric functions, addition and subtraction formulae, formulae involvingmultiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions and their properties.

**Coordinate geometry of two dimensions**

Distance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polarco-ordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of axes.

Concept of locus, locusproblems involving all geometrical configurations,

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. Anglebisector

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. Equation of tangent, normal and chord. Parametric equation of a circle. Intersection of a line with a circle. Equation of common chord of two intersecting circles.

Definition of conic section, Directrix, Focus and Eccentricity, classification based on eccentricity. Equation of Parabola, Ellipseand Hyperbola in standard form, their foci, directrices, eccentricities and parametric equations.

**Co-ordinate geometry of threedimensions**

Direction cosines and direction ratios, distance between two points and section formula, equation of a straight line, equation of a plane, distance of a point from a plane.

**Calculus**

Differential calculus:Functions, domain and range set of functions,composition of two functions and inverse of a function, limit, continuity, derivative, chain rule and derivative of functions in various forms. Concept of differential.

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. Secondorder 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: Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Application of Calculus: Tangentsand 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 ofthe region included between two elementary curves.

Vectors: Additionof vectors, scalarmultiplication, dot and cross products,scalar triple product.

#### PHYSICS

**Physical World, Measurements, Units & dimensions**: Physical World, Measurements, Units & dimensions Units & Dimensions of physical quantities, dimensional analysis & its applications, error in measurements, significant figures.

Kinematics: Scalars & vectors, representation of vectors in 3D, dot & cross product & their applications, elementary differential & integral calculus, time-velocity & relevant graphs, equations of motion with uniform acceleration.

Laws of motion: Newton’s laws of motion, using algebra & calculus, inertial & non inertial frames, conservation of linear momentum with applications, elastic & inelastic collisions, impulse centripetal force, banking of roads, relative velocity, projectile motion & uniform circularmotion Work, power, energy: Work, power, energy Work, work-energy theorem, power, energy,work done by constant & variable forces, PE & KE, conservation of mechanical energy, conservative and nonconservative forces, PE of a spring,

Motion of centre of mass, connected systems, Friction: Centre of mass of two-particle system, motion of connected system, torque, equilibrium of rigid bodies, moments of inertia of simple geometric bodies (2D) [without derivation] conservation of angular momentum, friction and laws of friction.

Gravitation: Kepler’slaws, (only statement) universal law of gravitation, acceleration due to gravity(g), variation of g, gravitational potential & PE, escape velocity,orbital velocity of satellites, geostationary orbits.

Bulk properties of matter: Elasticity, Hooke’s law, Young’s modulus, bulk modulus, shear, rigidity modulus, Poisson’s ratio elastic potential energy. Fluid pressure: Pressure due to a fluid column, buoyancy, Pascal’s law, effect of gravityon fluid pressure.Surface tension: Surfaceenergy, phenomena involving surface tension, angle of contact,capillary rise,

Viscosity: Coefficient of viscosity, streamline & turbulent motion, Reynold’s number, Stoke’s law, terminal velocity,Bernoulli’s theorem. Heat & ThermalPhysics: Heat & temperature, thermalexpansion of solids. liquids & gases, ideal gas laws, isothermal & adiabatic processes; anomalous expansion of water & its effects, sp. heat capacity, Cp, Cv, calorimetry; change of state, specific latent heat capacity. Heat transfer; conduction, thermaland thermometric conductivity, convection & radiation, Newton’s law of cooling, Stefan’slaw.

Thermodynamics: Thermal equilibrium (Zeroth law of thermodynamics), heat, work & internal energy. 1st law of thermodynamics, isothermal & adiabatic processes, 2nd law of thermodynamics, reversible & irreversible processes.

Kinetic theoryof gases: Equationof state of a perfectgas, kinetic theoryof gases, assumptions in Kinetic theory of gases, concept of pressure. & temperature; rms speed of gas molecules; degrees of freedom, law of equipartition of energy (introductory ideas) & application to specific heats of gases; mean free path, Avogadro number.

Oscillations & Waves: Periodic motion – time period, frequency, time-displacement eqation, Simple harmonic motion (S.H.M) & its equation; phase; SHM in different sytems, restoring force & force const, energy in S.H.M.- KE & PE, free, forced & damped oscillations (introductory ideas), resonance wave motion, equationfor progressive wave, longitudinal & transverse waves, sound waves, Newton’s formula & Laplace’s correction, factors affecting the velocity of sound in air, principles of superposition of waves, reflection of waves, standing waves in strings & organ pipes, fundamental mode, harmonics &overtones, beats, Doppler effect.

Electrostatics: Conservation of electric charges,Coulomb’s law-force betweentwo-point charges, forces between multiple charges; superposition principle & continuous charge distribution. Electric field, & potential due to a point charge & distribution of charges, electric field lines electric field due to a dipole; torque on a dipole in uniform electric field; electric flux, Gauss’ theorem & its simple applications, conductors & insulators, free charges & bound charges inside a conductor; dielectrics & electric polarisation, capacitors & capacitance, combination of capacitors in series & in parallel, capacitance of a parallel plate capacitor with & without dielectric mediumbetween the plates,energy stored in a capacitor.

Current Electricity:

Electric current, & conductor, drift velocity’ mobility & their relation with electric current; Ohm’s law, electrical resistance, Ohmic and non-Ohmicconductors, electrical energy & power, carbon resistors, colour codes, combination of resistances, temperature dependence of resistances, electric cell, emf and internalresistance of an electric cell, pd, combination of cells, secondary cells, (introductory) Kirchoff’s laws of electrical network, simple applications, principle of Wheatstone bridge, metre bridge and potentiometer and their uses, thermoelectricity; Seebeckeffect; Peltier effect, thermo emf.

Magnetic effect of current: Concept of magnetic field, Oersted’s experiment, Biot – Savart law & its application to current carrying circular loop; Ampere’s law & its applications to infinitely long straight wire, straight and toroidal solenoids; force on a moving charge in uniform magnetic & electric fields, cyclotron frequency; 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 a uniform magnetic field; moving coil galvanometer-its current sensitivity & conversion to ammeter & voltmeter, Inter-conversion of voltmeter & ammeter & change of their ranges.

Magnetics: Current loop as a magnetic dipole & its magnetic dipole moment, magnetic dipole moment of a revolving electron, magnetic field intensity due to a magnetic dipole bar magnet along its axis & perpendicular to its axis, torqueon a magnetic dipole (bar magnet) in a uniformmagnetic field; magnet as an equivalent

solenoid, magnetic field lines; Earth’s magnetic field & its magnetic elements. para-, dia- & ferro- magnetic substances, with examples. Electromagnets & the factors affecting their strengths, permanent magnets.

Electromagnetic induction & alternating current: Electromagnetic induction; Faraday’s laws, induced emf & current; Lenz’s Law, eddy currents, self & mutual induction, alternating currents, peak and rmsvalue of alternating current and voltage; reactance and impedance; LR & CR circuits, phase lag &lead, LCR series circuit, resonance; power in AC circuits, wattless current.

Electromagnetic waves: Electromagnetic waves and their characteristics (qualitative ideas only), transverse nature of electromagnetic waves, electromagnetic spectrum, applications of the waves from the different parts of the spectrum

Optics I (Ray optics): Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection & its applications, optical fibres, refraction at spherical surfaces,lenses, thin lens formula, lensmaker’s formula. Newton’s relation: Displacement method to find position of images (conjugate points) Magnification, power of a lens, combination of thin lenses in contact, combination of a lens & a mirror refraction and dispersion of light througha prism; opticalinstruments, human eye, image formation& accommodation, correction of eye defects (myopia, hypermetropia) using lenses, microscopes & astronomical telescopes (reflecting & refracting) & their magnifying powers.

**Optics II (Wave Optics): **Scattering of light – blue colour of the sky, elementary idea of Raman effect; wave optics: wave front & Huygens’ principle, reflection & refraction of plane wave at a plane surface using wave fronts.Proof of laws of reflection & refraction using Huygens’ principle Interference, Young’s double slit experiment & expression for fringewidth, coherent sources, Fraunhoffer diffraction due to a single slit,

Particle nature of light & wave particledualism: Photoelectric effect,Hertz and Lenard’sobservations; Einstein’s photoelectric equation – particle nature of light, matter waves; wave nature of particles, de Broglie relation.

Atomic Physics:Alpha-particle scattering expt Rutherford’s nuclearatom model of atom; Bohr model of hydrogen atom, energy levelsin a hydrogen atom, hydrogenspectrum, continuous &characteristic xrays.

Nuclear Physics: Composition & size of nucleus, atomic masses, isotopes, isobars; isotones, radioactivity – alpha, beta & gamma particles/ rays & their properties; radioactive decay law; massenergy relation, mass defect;binding energy per nucleon & its variation with mass number; nuclear fission & fusion.

Solid state Electronics: Energy bands in solids (qualitative ideas only), conductors, insulators & semiconductors; semiconductor diode – I-V characteristics in forward & reverse bias, diode as a rectifier;

I-V characteristics of LED, photodiode, solar cell & Zener diode; Zener diode as a voltage regulator, junction transistor (BJT), transistor action, characteristics of a BJT, BJT as an amplifier (CE configuration) & oscillator; logic gates (OR, AND, NOT, NAND & NOR).

#### CHEMISTRY:

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) involvingcommon oxidation – reduction, neutralization, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality. Percentage composition, empiricalformula and molecular formula; Numerical problems.

Atomic Structure:

Concept of Nuclear Atom – electron, proton and neutron (charge and mass), atomic number. utherford’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, Sommerfeld’s modifications (elementary idea); The four quantum numbers, ground state electronic configurations of many electron atoms and mono – atomic ions; The AufbauPrinciple; Pauli’s Exclusion Principle and Hund’sRule. Dual nature of

matter and light, de Broglie’s relationship, Uncertainty principle; The concept of atomic orbitals, shapes of s, p and d orbitals (pictorial approach).

Radioactivity and Nuclear Chemistry:

Radioactivity α-, β-, γ rays and their properties; Artificial transmutation; Rate of radioactive decay, decay constant, half-life and average age life period of radio-elements; Units of radioactivity; Numerical problems. Stabilityof the atomic nucleus – effect of neutron-proton (n/p) 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 PeriodicTable and ChemicalFamilies:

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 physicaland 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 noblegases in the periodic table; Diagonal relationships.

Chemical Bondingand Molecular Structure:

Valence electrons, the Octetrule, electrovalent, covalentand coordinate covalent bonds with examples;Properties of electrovalent and covalent compounds. Limitations of Octet rule (examples); Fajans 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 electronegativity, 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.

Coordination Compounds:

Introduction, Double salts and complex salts, coordination compounds (examples only), Werner’s theory, coordination number (examples of coordination number 4 and 6 only), colour, magneticproperties and shapes, IUPAC nomenclature of mononuclear coordination compounds.

Solid State:

Classification of solids based on differentbinding forces: molecular, ionic, covalent and metallic solids,amorphous and crystalline solids (elementary idea). Unit cell in two dimensional and three dimensional lattices, calculation of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects, electrical and magnetic properties. Band theory of metals, conductors, semiconductors and insulators and n & p type semiconductors.

Liquid State:

Vapour pressure, viscosity and surface tension (qualitative idea only, no mathematical derivations). 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. Daltons Law of partial pressure,Grahams Law of gaseous diffusion. Deviations from ideal behavior. Liquefaction of gases, real gases, van der Waals 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; Internalenergy, work and heat, pressure– volume work;Enthalpy. Internal energychange (ΔE) and Enthalpy change(ΔH) in a chemical reaction.Hesss Law and its

applications (Numerical problems). Heat of reaction, fusion and apourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity. Third law of thermodynamics (brief introduction).

Chemical Equilibria – The Law of mass action, dynamic nature of chemical equilibria. Equilibrium constants, Le Chateliers Principle. Equilibrium constantsof gaseous reactions(Kp and Kc) and relationbetween them (examples). Significance of ΔG and ΔGº.

Chemical Dynamics – Factors affecting the rate of chemical reactions (concentration, pressure, temperature, catalyst), Concept of collision theory. 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; Dialysisand its applications; Brownian motion; Tyndalleffect 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-electrolyticSolutions – Types of solution,vapour pressure of solutions. Raoult’sLaw; 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). Hydrolysis of salts (elementary idea), solubility product, common ion effect (no numerical problems).

Redox Equilibria: Oxidation – Reduction reactions as electron transfer processes, oxidation numbers, balancing of redox reactionsby oxidation number and ion-electron methods. Standard electrodepotentials (E°), Electrochemical series, feasibility of a redox reaction. Significance of Gibb’s equation: ΔG° = – nFΔE° (without derivation), no numerical problems.Redox titrations with (examples); Nernstequations (Numerical problems).

Hydrogen:

Position of hydrogen in periodic table, occurrence, isotopes, preparation, properties and uses of hydrogen, hydrides-ionic covalent and interstitial; physical and chemical properties of water, heavy water, hydrogen peroxide– preparation, reactions and structure and use; hydrogen as a fuel.

Chemistry of Non-Metallic Elementsand their Compounds:

Carbon – occurrence, isotopes, allotropes (graphite, diamond, fullerene); CO and CO2 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).

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), inter- halogen compounds (examples); Oxyacidsof 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 steelsand alloy steel (Bessemer, Open-Hearth and L.D. process).

Principles of chemistry involvedin electroplating, anodizingand galvanizing. Preparation and properties of K2Cr2O7 and KMnO4.

Lanthanoids – Electronic configuration, oxidation states, chemicalreactivity and lanthanoidcontraction and its consequences.

Actinoids – Electronic configuration, oxidation states and comparison with lanthanoids. Chemistry in Industry:

Large scale production (including physicochemical principles where applicable, omitting technical details) and uses of Sulphuric acid (contact process), Ammonia (Haber’s process), Nitric acid (Ostwald’s process), sodium bi- carbonate and sodium carbonate(Solvey process).

Polymers:

Natural and synthetic polymers, methods of polymerization (addition and condensation), copolymerization, some important polymers– natural and synthetic like polythene, nylonpolyesters, bakelite, rubber. Biodegradable and non-biodegradable polymers.

Surface Chemistry:

Adsorption – physisorption and chemisorption, factorsaffecting adsorption of gases on solids, catalysis, homogenous and heterogenous activity and selectivity; enzyme catalysis colloidal state distinction betweentrue solutions, colloids and suspension; lyophilic , lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation, emulsion – types of emulsions.

Environmental Chemistry:

Common modes of pollution of air, water and soil. Ozone layer, ozone hole – important chemical reactions in the atmosphere, Smog; major atmospheric pollutants; Green House effect; Global warmingpollution due to industrial wastes,green chemistry as an alternative tool for reducingpollution, strategies for control of environment pollution.

Chemistry of Carbon Compounds:

Hybridization of carbon: σ – and π – bonds. Isomerism – constitutional and stereoisomerism; Geometrical and opticalisomerism of compounds containing upto two asymmetric carbon atoms.IUPAC nomenclature of simple organic compounds – hydrocarbons, 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 β-dicarbonyl compounds, acidity and basicity of simple organic compounds.

Compounds:

Alkanes – Preparation from alkyl halidesand carboxylic acids;Reactions — halogenation and combustion.

Alkenes and Alkynes– Preparation from alcohols; Formationof Grignard reagentsand their syntheticapplications 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.

Haloalkanes and Haloarenes:

Haloalkanes – Preparation from alcohols; Nomenclature, nature of C -X bond, physical and chemical properties, mechanism of substitution reactions, optical rotation. Formation of Grignard reagents and their synthetic applications for the preparation of alkanes, alcohols,aldehydes, ketones and acids; SN1 and SN2

reactions ( preliminary concept). Uses and environmental effectsof – dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.

Alcohols:

Preparation of alcohols from carbonyl compounds and esters. Reaction – dehydration, oxidation, esterification, reaction withsodium, 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 1º, 2º and 3º amines (Hinsberg method); Reaction with HNO2; Carbyl amine reaction.

Aromatic Compounds:

Benzene – Kekule structure, aromaticity and Hückel rule. Electrophilic substitution – halogenation, sulfonation, nitration, Friedel Crafts reaction, ozonolysis. Directive influence of substituents in monosubstituted benzenes. Carcinogenicity and toxicity.

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 – Nature of C -X bond, substitution reactions; Nucleophilic substitution, cine substitution (excluding mechanism, Directive influence of halogen in monosubstituted compounds only).

Phenols – halogenation, sulfonation, nitration, Reimer – Tiemann and Kolbe reactions. Aromatic Aldehydes – Preparation by Gattermann, Gattermann-Koch, Rosenmund and Stephen’smethod. 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 – Pentosesand 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 skeletonstructures. Names of essential elements in biological system.

Principles of Qualitative Analysis:

Detection of water solublenon-interfering Acid and Basic Radicalsby dry and wet tests from among:

Acid Radicals:Cl^{–} , S2–, SO4 2- , NO3 – , CO3 2- . Basic Radicals: Cu^{2+}, Al^{3+,} Fe^{3+}, Fe^{2+}, Zn^{2+}, Ca^{2+}, Mg^{2+}, 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.

** Procedure for submission of application form, payment of examination fees**

**Registration**

a) The candidate will enter personal details such as, name, father’s name, mother’s name, date of birth, gender, identification type and number, present and permanent address, mobile number, email ID etc.

b) Candidates must be careful while entering name, father’s name, mother’s name, date of birth, gender, and domicile. These information cannot be changed/edited/modified under any circumstances.

c) Then the candidate has to create password, choose security question/ answer, review and submit the registration.

d) An application number will be generated and will appear on the screen. Also, SMS/email will be sent to the candidate.

e) Candidate must remember his/her application number, password, and security question/answer. If the candidate forgets the password, he/she has to recover it through “Forgot Password” option. There is no other way to recover the password.

f) It is not possible for any person/agency to change/edit/input any information without knowing the password. Hence candidates must not share their password with anybody. The Board will not be responsible for any change resulting from sharing/ divulging of the password.

**Application**

a) At this stage, the candidate needs to fill up various other information such as, domicile, category, PWD status, family income status, religion, nationality, academic details etc.

b) If the candidate has also applied for JEE(Main) 2022 he/she need to enter JEE(Main) application number.

c) Thereafter the candidate needs to choose zones of examinations in order of

his/her choice and submit the application.

**Uploading of images**

a) The candidate is required to upload JPG/JPEG images of his/her recent color photograph (10 to 200kB) and signature (4 to 30 kB).

b) If any document e.g., certificate/marksheet etc. is to be uploaded, it must be in PDF format (50 to 300kB)

c) All documents are to be uploaded in one go.

**Payment of Examination Fees**

a) The Examination Fees can be paid by Net Banking/ Debit Card/ Credit Card only.

b) Application fee for the examination is Rs 500 (Rupees five hundred only) for General candidates and Rs 400 (Rupees four hundred only) for SC/ST/OBC-A/OBC-B candidates, plus the Bank’s service charges as applicable.

c) SC/ST/OBC-A/OBC-B/TFW candidates availing of the concession will have to upload respective certificates in given formats at the time of counselling, failing which his/her candidature will be cancelled.

d) The fee once paid is not refundable under any circumstances.

**Confirmation Page**

a) On successful completion of all the above steps, candidate shall be directed to download the ‘Confirmation Page’ which means that the application is complete. APPLICATION IS NOT COMPLETE UNTIL THE CONFIRMATION PAGE IS GENERATED.

**Correction of application form**

a) It is not possible to correct any primary registration data i.e., Name, Father’s Name, Mother’s name, gender, domicile, and Date of birth.

b) If any candidate intends to correct any other information in his/her application, he/she can do so after logging in during the given correction period. The Board will not entertain any request for any correction under any circumstances beyond the correction period. Also, the Board will not make any correction on behalf of any candidate.

**Admit Card**

a) Admit cards will be generated on the notified date for the student to download and take a print. Candidate must carry a printed hard copy of the admit card to the examination center.

b) Candidates must ensure that the admit card is not mutilated/ distorted/ soiled even by accident. Candidates with such mutilated/ distorted/ soiled admit cards will not be allowed to appear in the examination.

**Evaluation and declaration of result**

a) Model Answer Keys will be available for a brief period at Board’s web site shortly after the examination. Candidates can log in and view the model answer keys.

b) Candidates can also challenge any answer key on payment of ₹500 per question plus the bank’s service charges. The fee once paid is not refundable.

c) The Board will review the challenges and publish Final and Frozen Answer Keys. The Board’s decision in this regard will be final and no further communication will be entertained.

d) Images of OMRs and machine read responses will be available for a brief period in Board’s web site one week (tentatively) after the examination. Any candidate can view the images of his/her OMRs and machine read responses by logging in with his/her password. Candidates should download and preserve copies of their OMRs. Hard copies will be preserved by the Board for only one calendar year.

e) Any candidates, who is not satisfied with the captured responses can challenge online on payment of ₹500 per question plus bank’s service charges. The fee once paid is non-refundable.

f) The Board will review the challenges and take final decision. The Board’s decision on the challenges will be final and no further communication will be entertained.

g) Challenges by email, letter, fax, telephone etc. other than through online mode will not be accepted or entertained.

h) Result will be published in the form of Rank Card, which will contain all relevant ranks, total score, and component scores in paper-I (Mathematics) and paper-II (physics & Chemistry). Candidates can view and download their rank card by logging in with their password. The Board never publishes a rank list to ensure confidentiality to each individual candidate.

i) Ranks cards with scores will be issued to all candidates, who appears in WBJEE-2022. But all may not be awarded a rank and hence may not be eligible for counseling, for which a cut off rank and/or a cut off score will be decided by the Board.

j) If any candidate has any grievance about his/her score, he/she may raise a query through email (to info@wbjeeb.in) within 24 hours of declaration of the result attaching copies of OMRs, rank card, question booklet number and its series code, question wise calculation of score. If the candidate wishes to make

a physical representation, it is allowed till 12:00 noon on the next working day of result publication. The Board will not entertain any query/grievance thereafter.

k) A candidate can calculate his/her score from his/her machine read response and published final answer keys. However, if any candidate needs a calculation sheet from the Board, he/she will have to apply to the Board with a demand draft of Rs. 500/- in favor of ‘West Bengal Joint Entrance Examinations Board’ payable at Kolkata. But this facility will be available only till 60 days after the declaration of result or till the counselling is over, whichever is later.

**General rules about documents**

a) Whenever and wherever a candidate produces documents like confirmation page, admit card, rank card, caste/ category/ domicile/ income certificate etc., he/she must produce it in original. Documents generated by the portal must be printed by using the ‘PRINT’ link provided for the purpose. Screen shots, photographs of the screen, images captured/stored by/in mobile phone etc. are not acceptable as any valid document.

b) Confirmation page, admit card, rank card etc. contains some personal information as given by the candidate during online application. As such, the Board is in no way responsible for any mistake in it due to incorrect entry given by the candidate.

c) All verifications are done during counselling. Hence candidates cannot assume that the personal information shown in the confirmation page, admit card, rank card etc., are accepted or approved by the Board

d) In case the candidate faces any problem during admission in any institute or thereafter due to any mistake committed by him/her in providing such personal information during online application, the Board is not able to render any help e.g., issuing any letter of correction etc. The candidate must take necessary actions at his/her end with the institute, where he/she takes admission.

e) Confirmation page and admit card cannot be downloaded after the examination. Rank card and OMR images cannot be downloaded after the counselling is over. Candidates must preserve such documents safely.

f) However, if any candidate needs a duplicate copy of any document, it can be provided by the Board, but only till the end of counselling or 60 days after the date of declaration of result, whichever is later. To get a duplicate copy, the candidate must apply to the Board and pay a processing fee of Rs. 500/- for each document by a bank draft in the name of “West Bengal Joint Entrance Examinations Board” payable in Kolkata.

**Counselling/seat allotment and admission**

a) A separate notification with details of counseling and admission will be published in Board’s web site shortly after publication of result.

b) Course-wise and institute wise availability of seats which will be provided by the Competent Authorities will also be published before counseling and allotment.

**इसे भी पढ़ें…**

Official website of Wbjee – Click

Information Bulletin of wbjee 2022 – Click

Top Seven private College Under Wbjee – Click

Top Seven Goverment College Under Wbjee – Click

Bihar Student Credit Card Yojana कैसे अप्लाई करें ? – Click

Top Engineering college Under WBJEE – Wbjee 2022 – Click

All Information Regarding Wbjee 2022, Date, Exam Pattern – Click

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