The **West Bengal Joint Entrance Examination (WBJEE)** is a state-level entrance exam conducted by the West Bengal Joint Entrance Examination Board **(WBJEEB)**. It is usually conducted for admission to undergraduate courses in various disciplines like engineering, technology, pharmacy, and architecture offered by colleges and universities in the state of West Bengal.

**Here are some key points about WBJEE 2024:**

**Exam Pattern:** The exam typically consists of multiple-choice questions (MCQs) from subjects like Mathematics, Physics, and Chemistry. The duration of the exam and the number of questions may vary each year.

**Eligibility Criteria:** Candidates must fulfill certain eligibility criteria, including educational qualifications and domicile requirements, to appear for the exam.

**Application Process: **The application process involves online registration, filling out the application form, uploading documents, and paying the application fee.

**Admit Card:** The admit card for WBJEE is usually released a few weeks before the exam date. It contains details such as the candidate’s name, roll number, exam center, and exam timings.

**Exam Date: **The exam date for WBJEE 2024 would be announced by the WBJEEB closer to the exam cycle. It is typically held in the first half of the year, often in April or May.

**Result Declaration:** After the exam, the WBJEEB releases the result along with the merit list. Candidates can check their scores and ranks online.

**Counseling Process:** Once the results are declared, the counseling process begins for seat allotment in various colleges based on the candidate’s rank and preference.

It’s essential for aspirants to stay updated with the official notifications and announcements from the **WBJEEB** regarding exam dates, application procedures, and other relevant information.

# WBJEE Syllabus Mathematics

The topics that are covered in the Mathematics syllabus are listed below. Candidates can check

the topic-wise syllabus and can start their preparation in advance.

**Algebra**

● A.P., G.P, and H.P

● Logarithms: Definition; General properties; Change of base.

● Complex Numbers

● Polynomial equation

● Permutation and Combination

● The principle of mathematical induction

● Binomial theorem (positive integral index)

● Matrixes

● 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

● The general solution of trigonometric equations

● Properties of triangles

● inverse trigonometric functions and their properties

**Coordinate Geometry of two Dimension**

● Distance formula

● Section formula

● Area of a triangle

● Condition of collinearity of three points in a plane

● Polar coordinates

● The transformation from Cartesian to polar coordinates and vice versa

● Parallel transformation of axes

**Coordinate Geometry of three Dimension**

● Direction cosines and direction ratios,

● The distance between two points and section formula,

● The equation of a straight line,

● The equation of a plane

● The distance of a point from a plane

**Calculus**

● Differential calculus

● Rolle’s Theorem and Lagrange’s Mean Value Theorem

● Integral calculus

● Differential Equations

● Application of Calculus

● Vectors

**WBJEE Physics Syllabus**

The syllabus of Physics for the WBJEE exam contains the following topics from which questions

are asked in the examination. Candidates are advised to go through the topics and practise

numericals daily for good results.

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-energy theorem, power, energy, work done by constant & variable forces

● PE & KE

● Conservation of mechanical energy

● Conservative and nonconservative forces

● PE of a spring

**The motion of the centre of mass, connected systems, Friction**

● Centre of the mass of the two-particle system

● The motion of the connected system

● Torque

● The 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)

● The universal law of gravitation

● Acceleration due to gravity (g)

● The 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 gravity

on fluid pressure

● Surface tension: Surface energy, phenomena involving surface tension, the angle of

contact, capillary rise

**Viscosity**

● The coefficient of viscosity

● Streamline & turbulent motion

● Reynold’s number

● Stoke’s law

● Terminal velocity

● Bernoulli’s theorem

● Heat & Thermal Physics: Heat & temperature, thermal expansion of solids

● Liquids & gases

● Ideal gas laws

● Isothermal & adiabatic processes

● Anomalous expansion of water & its effects

● Special heat capacity

● Cp, Cv, calorimetry; change of state

● Specific latent heat capacity

● Heat transfer

● Conduction

● Thermal and thermometric conductivity

● Convection & radiation

● Newton’s law of cooling, Stefan’s law

**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**

● The equation of state of a perfect gas

● Kinetic theory of gases

● Assumptions in Kinetic theory of gases

● The concept of pressure & temperature; RMS speed of gas molecules; degrees of

freedom, the law of equipartition of energy (introductory ideas) & application to specific

heats of gases; mean free path, Avogadro number

**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

**Atomic Physics**

● Alpha-particle scattering except for Rutherford’s nuclear atom model of an atom

● Bohr model of the hydrogen atom

● Energy levels in a hydrogen atom

● Hydrogen spectrum, continuous & characteristic X-rays

**Nuclear Physics**

● Composition & size of the nucleus

● Atomic masses

● Isotopes, Isobars, and 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.

**WBJEE Chemistry Syllabus**

Candidates can check below the syllabus for Chemistry and all the important topics which are

included in the syllabus.

Atoms, Molecules and Chemical Arithmetic

● 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) involving common oxidation-reduction

● Neutralization, and displacement reactions

● Concentration in terms of mole fraction, molarity, molality, and normality

● Percentage composition, empirical formula, and a molecular formula

● Numerical problems

**Atomic Structure**

● The concept of Nuclear Atom – electron, proton and neutron (charge and mass), atomic

number

● Weatherford’s model and its limitations, Extranuclear structure, Line spectra of the hydrogen

atom

● Quantization of energy (Planck’s equation E = hν)

● Bohr’s model of a hydrogen atom and its limitations, Sommerfeld’s modifications (elementary

idea)

● The four quantum numbers, ground state electronic configurations of many-electron atoms

and monoatomic ions

● The Aufbau Principle; Pauli’s Exclusion Principle and Hund’s Rule

● Dual nature of matter and light, de Broglie’s relationship, the 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

● Stability of 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

**Periodic Table and Chemical Families**

● Modern periodic law (based on the 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 physical and chemical properties – atomic radii, valence, ionization energy,

electron affinity, electronegativity, metallic character, acidic and basic characters of oxides

and hydrides of the representative elements (up to Z = 36)

● A position of hydrogen and the noble gases in the periodic table; Diagonal relationships

**Chemical Bonding & Molecular Structure**

● Valence electrons, the Octet rule, electrovalent, covalent and coordinate covalent bonds with

examples; Properties of electrovalent and covalent compounds

● Limitations of Octet rule (examples); Fajans Rule

● The directionality of covalent bonds, shapes of polyatomic 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

● The concept of resonance (elementary idea), resonance structures (examples)

● The 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 compAlex salts

● Coordination compounds (examples only)

● Werner’s theory

● Coordination number (examples of coordination number 4 and 6 only), colour, magnetic

properties and shapes, IUPAC nomenclature of mononuclear coordination compounds

# WBJEE Chapter-wise Weightage 2024

In this section, students will find WBJEE chapter-wise weightage details for Physics, Chemistry, and Mathematics. Various topics covered in the WBJEE syllabus are allotted weightage after analysing the previous years’ question papers.

## WBJEE Chapter-wise Weightage for Mathematics

The Paper 1 of the WBJEE exam is Mathematics which involves 75 questions carrying 100 marks. The table below lists the important Mathematics topics for WBJEE along with their weightage:

Major Topics | Topicwise Weightage |

Probability | 7% |

Vectors | 7% |

3D Geometry | 6% |

Limits | 5% |

Sets, Relation & Functions | 5% |

Matrices & Determinants | 5% |

Definite Integration | 5% |

Indefinite Integration | 5% |

Permutation & Combination | 4% |

Theory of Equations | 4% |

Complex Numbers | 4% |

## WBJEE Chapter-wise Weightage for Physics

The Physics section in WBJEE consists of 40 questions worth 50 marks. Candidates can get the WBJEE chapter-wise weightage analysis for Physics through the table below.

Important Topics | Topicwise Weightage |

Current Electricity | 7% |

Magnetic Effects of Current and Magmatism | 6% |

Heat and Thermodynamics | 6% |

Electrostatics | 6% |

Wave Motion | 5% |

Solids & Semiconductor Devices | 5% |

Work Energy Power | 5% |

Physics of Nucleolus | 5% |

Nuclear Physics | 5% |

Modern Physics – Atomic Models | 5% |

Simple Harmonic Motion | 5% |

Laws of Motion | 4% |

Rotational Motion | 4% |

## WBJEE Chapter-wise Weightage for Chemistry

Similar to Physics, Chemistry holds a weightage of 50 marks in WBJEE with a total of 40 questions. Here is the topic-wise weightage analysis for WBJEE Chemistry:

Important Chapters | Topicwise Weightage |

Chemical Kinetics | 7% |

p- Block Elements | 6% |

Chemical Bonding | 6% |

S block elements | 6% |

Transition Elements (d & f block) | 6% |

Organic Chemistry | 6% |

Redox Reactions | 5% |

Ionic Equilibrium | 4% |

Coordination Compounds | 4% |

Alcohol Phenol Ether | 4% |

Chemical Equilibrium | 4% |

Carboxylic Acids & Derivatives | 4% |

Chemical Thermodynamics | 4% |