**WBJEE Syllabus** 2020 – Physics, Chemistry & Mathematics

The board for West Bengal Joint Entrance Examination (WBJEE) organizes the exam for admissions to various colleges in the state of West Bengal. The syllabus for WBJEE 2020 is also determined by the board. WBJEE 2020 will be conducted on 2^{nd} February 2020.

**Interesting facts on ****WBJEE 2020 syllabus**

- Every year, the questions are set from the curriculum of 11
^{th}and 12^{th}standard classes from the West Bengal state board of higher education. - The syllabus has remained the same for the couple for years. Hence aspirants can look up to previous year’s question papers for a reference
- Any change in the syllabus will be notified by the board.
- The syllabus for WBJEE consists of three major portions: Mathematics, Physics, Chemistry

Each of the following subsections briefs about the subject-wise important syllabus

**Mathematics WBJEE Syllabus**

Topic | Sections | Concepts |

Algebra | Arithmetic Progression, Geometric Progression,Harmonic Progression | Definitions, the summation of finite and infinite series, the relation between the progressions |

Logarithms | Definitions, types, change of base, properties | |

Complex Numbers | Definitions, real and complex numbers, complex conjugate, complex number’s amplitude, properties, n-roots of complex numbers (square and cubic majorly), De Moiré’s theorem and its applications, complex number system quadratic equations and its solutions | |

Polynomial Equation | Quadratic equations with real and complex coefficients, the relation between roots and coefficients, nature of roots and coefficients, forming a quadratic equation, magnitude and sign of quadratic equations | |

Permutation and Combination | Permutations with and without repetitions, basic properties, problems with permutation and combination | |

Mathematical Induction Principle | Theorems with statements, proof of theorem statements for a sum of squares, divisible properties, a sum of squares and cubed of natural numbers | |

Binomial Theorem | Statement and proof of the Binomial theorem, properties of binomial coefficients, equidistant and general terms | |

Matrices | M x N real matrices, Operations on matrices like addition, transpose, inverse and multiplication (scalar and matrix), determinant of matrices and its properties, adjoint and cofactor of a matrix, nonsingular matrix, solution of linear equations using matrix operations | |

Set Theory, relations and mappings | Definitions of sets, subsets, power sets, complement and union operations, intersection and difference of a set, Venn diagram, De Morgan’s law, Cartesian’s products, inclusion/exclusion criteria for finite sets | |

Relations and its properties | Definitions of equivalence relations and their mappings, range, and domain, composition and inverse of mapping, injective, surjective and bijective mappings | |

Statistics and Probability | Probability | Definitions of probability, addition and multiplication rules, Bayes’ theorem, independence of events, repeated independent trails |

Statistics | The measure of central tendency, and dispersion, definitions of mean, variance, frequency and standard deviation, Binomial distribution, hypothesis testing | |

Trigonometry | Functions | Rules for addition and subtraction of angles, operations with multiple and submultiple angles, solving trigonometric equations |

Triangles | Properties and area inside a triangle, inverse trigonometric functions, and properties | |

Coordinate Geometry | Coordinates | Distance and section formula, collinearity properties, polar and Cartesian coordinates and their relation with transformation, locus, and geometrical configuration |

Lines | The slope of lines angles between a line, perpendicular and parallel lines, the distance between lunes, angle bisector and intersection of lines | |

Circle | Center and radius of a circle, equation of a circle, endpoints of diameter and its equation, tangent, chord and normal to a circle, parametric equations of a circle, equation of common chord | |

Cones | Definitions, directrix, focus and eccentricity and classification, equation of parabola, ellipse, and hyperbola, their foci, directrices, eccentricities and equations | |

Dimensions | Cosine and direction ratios, the distance between points and sections, equation of a plane, distance between a point and plane | |

Calculus | Differential Calculus | Concepts of differential and difference equations, Domains, functions and range of functions, the inverse of a function, limit, continuity, derivatives and chain rule |

Rolle’s Theorem | L’Hospital’s rule, Lagrange’s mean value theorem, geometric interpretation, and elementary application, second-order derivatives | |

Integral Calculus | The reverse process of differential operations, indefinite integral, integration by parts, integration by substitution and partial functions | |

Vectors | Operations | Addition, scalar multiplication. Dot and cross product, scalar triple product |

**Physics WBJEE Syllabus**

Topic | Section | Concepts |

Measurements | Units and Dimensions | Physical World, dimensions, analysis of dimensions, errors in measurements, significant figures |

Kinematics | Scalars and vectors, representation of vectors, dot and cross product with applications, time velocity, and graphs, equation of motion in uniform acceleration | |

Laws of Motion | Newton’s Law of Motion, inertia, conservation of linear and angular momentum, elastic and inelastic collision, centripetal force, velocity, projectile motion, circular motion | |

Work, power, and energy | Definitions, work-energy theorem, work- done, constant and variable force, potential energy and kinetic energy, spring and energy, conservative and non-conservative forces | |

Motion | Center of mass, connected systems, and frictions, torque, equilibrium, rigid bodies, moments of inertia, laws of friction | |

Gravitation | Kepler’s law, universal law of gravitation, acceleration due to gravity, gravitational potential energy, escape velocity, geostationary objects, orbital velocity | |

Matter | Elasticity, Hooke’s law, Young’s Modulus, shear and rigidity modulus, Poisson ratio of elasticity, fluid pressure, surface tension, angle of contact, capillary rise, viscosity, Bernoulli’s theorem, heat and temperature, Newton’s law of cooling and Stefan’s law | |

Thermodynamics | Thermal equilibrium, heat, and work, isothermal and adiabatic processes, reversible and irreversible process | Laws and problems |

Waves | Periodic Motion | Time period, frequency, time-displacement theory, harmonic motion, resonance, longitudinal and transverse waves |

Sound waves | Reflection of waves, harmonics and overtones, Doppler effect, superposition principle | |

Electrostatics | Properties of electric charges | Conservation of electric charges, Coulomb’s law, electric field and potential, distribution of charges, dipole, Gauss theorem, electric flux, capacitance |

Current Electricity | Electric current | Conductor, drift velocity, Ohm’s law, resistance, capacitance, Ohmic, and non-Ohmic conductors, carbon resistors, color codes, electric cells, Kirchhoff’s law of electric network |

Magnetic Effect | Concept definition, dipoles, current loop, dipole moment, magnets, magnetic dipole, uniform magnetic field, solenoid, magnetic field lines, para-, dia-, and ferro- magnetic substances, electro magnets | |

Electromagnetic induction | Alternating currents, Faraday’s Law, induced EMF, Lenz’s law, eddy currents, self and mutual induction, peak and RMS values, power in a circuit, wattles current | |

Electromagnetic Waves | Characteristics of electromagnetic waves, transverse nature, electromagnetic spectrum, application of waves | |

Optics | Ray Optics | Reflection of light, mirrors, reflection and refractions, total internal reflection, newton’s relation, magnification, optical instruments, the human eye, image formation, microscopes and lens, magnifying powers |

Wave Optics | Light scattering, Raman effect, wavefront, Huygens’s principle, proof of laws of reflection and refractions, wave-particle dualism | |

Particle Physics | Atomics Physics | Alpha particle scattering, Rutherford’s atom model, Bohr model of hydrogen atom energy, hydrogen spectrum, X-rays |

Nuclear Physics | Nucleus, atomics masses, isotopes and isotones, radioactive decay, mass-energy relation, binding energy | |

Solid-State Electronics | I-V characteristics | Energy bands, insulators and semiconductors, diodes, rectifiers, LED, Zener diodes, oscillators, logic gates |

**Chemistry WBJEE Syllabus**

Topic | Section | Concepts |

Atoms and Molecules | Atomic Structure | Atomic mass, molecule mass, valency, gram atomic weight, chemical formulae, chemically balanced equations, Dalton’s atomic theory, Gay Loussac’s law, Avogadro’s theorem |

Nuclear Chemistry | Electron, proton, neutron, atomic number, Rutherford’s model. Bohr’s model, Sommerfeld’s modification, the exclusion principle, de Broglie’s relationship, atomic orbitals | |

Radioactivity | Artificial transmutation, radioactive decay, half-life, and average life, nuclear fusion, and fission reaction | |

Periodic Table | Periodic laws, types of elements, transition, affinity, and electronegativity, diagonal relationships | |

Chemical Bonding | Valence electrons, Octet rule, Faja’s Rule, bond polarity, orbital energy diagrams | |

Coordination Compounds | Salts, Werner’s theory, nomenclature, color and magnetic properties with shapes | |

State of Compound | Solid State | Molecular, ionic, covalent and metallic solids, classification, binding forces, packing efficiency, band theory |

Liquid State | Pressure, viscosity, surface tension | |

Gaseous State | Properties of gases, Boyle’s law, Charles’s law, kinetic theory of gases, van der Waals equation, Dalton’s law of partial pressure | |

Chemical Energetics | Energy principle, chemical Equilibria, chemical dynamics, order and molecularity | |

Physical Chemistry | Colloidal Solutions | Hydrophobic and hydrophilic colloids, Brownian motions, Tyndall effect, electrolytic solutions |

Equilibria | Ionic and redox equilibria, acid base titrations | |

Hydrogen | Properties, uses, position in periodic table, occurrences, isotopes, preparation of hydrogen compounds | |

Non-metallic Compounds | Carbon, oxygen and Sulphur, halogens | |

Metals | General principles of metallurgy, electroplating, anodizing and galvanizing, steels and alloy manufacturing | |

Lanthanoids and Actinoids | Oxidation states, reactivity, contraction and consequences | |

Polymers | Natural and synthetic polymers | Definition, manufacturing, chemical structure, biodegradable and non-degradable classification |

Alcohols and compounds | Alkanes and alkynes | Definitions, reactivity, properties, chemical formulae |

Haloalkenes and Haloarenes | Definitions, reactivity, properties, chemical formulae | |

Aromatic Compounds | Definitions, reactivity, properties, chemical formulae | |

Industrial Chemistry | Applications in Industries | Biomolecules, qualitative analysis, detection principle |

- Any further information and doubts apart from this syllabus of WBJEE 2020 pdf, regarding the WBJEE syllabus can be looked upon on the official website – https://wbjeeb.nic.in/wbjeecms/public/home.aspx.

**Important books** for WBJEE 2020

Sometimes, rather than concentrating on a prescribed book, other books can also be useful in learning shortcuts and tricks. Some of the subject-wise books are given below

**Mathematics**

- NCERT textbooks of classes 11 and 12
- R.S. Aggarwal books on mathematics
- R.D. Sharma books on objective mathematics

**Physics**

- NCERT textbooks of classes 11 and 12
- H.C. Verma books on the concept of physics
- D.C. Pandey books on understanding physics series

**Chemistry**

- NCERT textbooks of classes 11 and 12
- O.P. Tandon’s physical chemistry
- O.P. Tandon’s concepts of organic chemistry

Aspirants covering the syllabus completely will definitely taste the success while others may lose the course of their choice by a whisker. Hence, sharpen the preparations based on the information given in WBJEE syllabus 2020 pdf.