Candidates who will be taking the West Bengal Joint Entrance Exam (WBJEE) for the coming academic admission of 2020 session needs to direct their study routine with specific planning. The awareness of the WBJEE Syllabus 2020 should be one of the top priorities of candidates to begin their preparation with. That means the preparation for the WBJEE 2020 Examination must start with the WBJEE Syllabus. The Syllabus for the WBJEE 2020 will include topics from 11th and 12th standard Physics, Chemistry and Mathematics. Other than that candidates will have to go through the WBJEE Exam Pattern 2020. Check the WBJEE Official website.

#### Check Eligibility For WBJEE Exam

• The candidate seeking admission to Engineering and Technology degree courses in the state of West Bengal, it is mandatory that the candidate must appear for WBJEE 2020 or JEE Main 2020.
• Candidates will be required to appear in two papers for WBJEE, i.e. Paper 1 and Paper 2. Paper 1 will be for Mathematics and Paper 2 will be for Physics and Chemistry Combined.
• Candidates appearing in both Paper-I and Paper-II and who are awarded GMR ranks will be eligible for admission in Engineering/ Technology/ Architecture/ Pharmacy Courses in all institutes.

## WBJEE Syllabus 2020 – Mathematics

AlgebraA.P., G.P., H.PDefinitions of A. P. and G.P.; General term; Summation of first n-terms of series ∑n, ∑n2, ∑n3; Arithmetic/Geometric series, A.M., G.M. and their relation; Infinite G.P. series and its sum
LogarithmsDefinition; General Properties; Change of Base.
Complex NumbersDefinition in terms of ordered pair of real numbers and properties of complex numbers; Complex conjugate; Triangle inequality; the 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 equationnth degree equation has 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 a x 2 +bx+c (where a, b, c are rational numbers and a ≠ 0).
Permutation and combinationPermutation 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 inductionStatement 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, and properties of binomial coefficients.
MatricesConcepts of m x n (m ≤ 3, n ≤ 3) real matrices, operations of addition, scalar multiplication and multiplication of matrices. Transpose of a matrix. The determinant of a square matrix. Properties of determinants
(statement only). Minor, cofactor and adjoint of a matrix. Nonsingular matrix. Inverse of a matrix. Finding the area of a triangle. Solutions of system of linear equations.
Sets, Relations and MappingsMappings: 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 relationEquivalence relation — definition and elementary examples, mappings, range and domain, injective, surjective and bijective mappings, the composition of mappings, inverse of a mapping.
Statistics and ProbabilityMeasure of dispersion, mean, variance and standard deviation, frequency distribution. Addition and
multiplication rules of probability, conditional probability and Bayes’ Theorem, independence of events, repeated independent trails and Binomial distribution.
TrigonometryTrigonometric functions, addition and subtraction formulae, formulae involving multiple and submultiple angles, general solution of trigonometric equations. Properties of triangles, inverse trigonometric functions and their properties.
Coordinate geometry of two dimensionsDistance formula, section formula, area of a triangle, condition of collinearity of three points in a plane. Polar
co-ordinates, transformation from Cartesian to polar coordinates and vice versa. Parallel transformation of
axes.
Concept of locus, locus problems 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. Angle bisector
Equation of a circle with a given centre 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, Ellipse, and Hyperbola in standard form, their foci, directrices, eccentricities and parametric
equations.
Coordinate Geometry of three dimensionsDirection 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.
CalculusDifferential calculusFunctions, 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. Second-order derivative.
Integral calculusIntegration 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. The fundamental theorem of integral calculus and its
applications. Properties of definite integrals.

Differential EquationsFormation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
Application of CalculusTangents 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.
VectorsAddition of vectors, scalar multiplication, dot and cross products, scalar triple product.

## WBJEE Syllabus 2020 – 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 circular motion 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 non-conservative 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’s laws, (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 Viscosity Coefficient of viscosity, streamline & turbulent motion, Reynold’s number, Stoke’s law, terminal velocity, Bernoulli’s theorem. 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 theory of gases Equation of state of a perfect gas, kinetic theory of 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. Electrostatics Conservation of electric charges, Coulomb’s law-force between two-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 medium between 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-Ohmic conductors, electrical energy & power, carbon resistors, colour codes, combination of resistances, temperature dependence of resistances, electric cell, emf and internal resistance of an electric cell, PD, combination of cells, secondary cells, (introductory) Kirchoff’s laws of the electrical network, simple applications, the principle of Wheatstone bridge, metre bridge and potentiometer and their uses, thermoelectricity; Seebeck effect; Peltier effect, thermo emf. 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, torque on a magnetic dipole (bar magnet) in a uniform magnetic field; magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field & its magnetic elements. para-, dia- & ferromagnetic substances, with examples. Electromagnets & the factors affecting their strengths, permanent magnets. 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. Electromagnetic induction & alternating current: Electromagnetic induction; Faraday’s laws, induced emf & current; Lenz’s Law, eddy currents, self & mutual induction, alternating currents, peak and RMS value of alternating current and voltage; reactance and impedance; LR & CR circuits, phase lag & lead, LCR series circuit, resonance; power in AC circuits, watt less 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 through a prism; optical instruments, 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 the light – blue colour of the sky, elementary idea of Raman effect; wave optics: wavefront & Huygens’ principle, reflection & refraction of plane wave at a plane surface using wavefronts. Proof of laws of reflection & refraction using Huygens’ principle Interference, Young’s double slit experiment & expression for fringe width, coherent sources, Fraunhofer diffraction due to a single slit,Particle nature of light & wave-particle dualism: Photoelectric effect, Hertz and Lenard’s observations; 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 nuclear atom model of atom; Bohr model of hydrogen atom, energy levels in a hydrogen atom, hydrogen spectrum, continuous & characteristic x-rays.Nuclear Physics: Composition & size of nucleus, atomic masses, isotopes, isobars; isotones, radioactivity – alpha, beta & gamma particles/ rays & their properties; radioactive decay law; mass-energy 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).

## WBJEE Syllabus 2020 – Chemistry

We hope that the WBJEE Syllabus 2020 is clear to you.

Note- The above details are as per the syllabus of the 2019 session. The information will be updated on NextInCareer after the release of official notification.

I am Mandeep Kumar, an Electrical Engineer Graduate. I follow the educational events and write about them to share valuable information with the candidates.