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 a 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 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 2020, 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

 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, ∑n3; Arithmetic/Geometric series, A.M., G.M. and their relation; Infinite G.P. series and its sum Logarithms Definition; General Properties; Change of 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 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 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, and properties of binomial coefficients. Matrices Sets, Relations and Mappings Relation and its properties. Equivalence relation Statistics and Probability Trigonometry Trigonometric 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 dimensions Coordinate geometry of three dimensions 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. Integral calculus Integration as a reverse process of differentiation, indefinite integral of standard functions. Integration by parts. Integration by substitution and partial fraction. Differential Equations Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations. 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. Vectors

### 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 Magnetics 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 II (Wave Optics) Scattering of light 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.