The WBJEE syllabus 2027 covers Mathematics, Physics, and Chemistry based on the CBSE Class 11 & 12 curriculum. The exam is divided into two offline papers conducted on the same day: Paper 1 (Mathematics) and Paper 2 (Physics and Chemistry). The WBJEE 2027 syllabus PDF link is expected to be released along with the official brochure by the West Bengal Joint Entrance Examinations Board (WBJEEB) at wbjeeb.nic.in.
- The WBJEE syllabus 2027 Physics important topics are Electrostatics and Current Electricity (18 - 20%), Optics (13 - 15%), and Modern Physics (10 - 13%).
- The important topics of the WBJEE Chemistry syllabus are Organic Chemistry (35 - 40%), Physical Chemistry (30 - 35%), and Inorganic Chemistry (25 - 30%).
- The WBJEE 2027 Maths high-weightage topics include Calculus (30 - 35%), Algebra (25 - 30%), and Coordinate Geometry (15 - 20%).
- The WBJEE exam paper is divided into three categories. Category 1 gives +1 mark for each correct answer and -0.25 marks for wrong answers.
- Category 2 gives +2 marks for correct answers and -0.05 marks for wrong answers. Category 3 gives +2 marks for correct answers, and there is no negative marking.
| Check WBJEE Syllabus PDF 2027 Download Link (To be Out Soon) |
Related Links:
- WBJEE Mathematics Syllabus 2027: Check Topic-Wise Weightage, Marks Distribution
- WBJEE Physics Syllabus Topics 2027: Download PDF, Check Weightage, Exam Pattern
- WBJEE Chemistry Syllabus 2027 Topics: Check PDF Download Link, Weightage, Marks Allotment, and Exam Pattern
Key Summary
- The WBJEE Mathematics paper includes 75 questions for 100 marks; Physics and Chemistry include 40 questions for 50 marks each.
- The WBJEE total marks are 200 for 155 multiple-choice questions, and the medium os question paper is English and Bengali.
- The WBJEE exam is conducted offline, in OMR-based mode for 4 hours, with 2 hours for Maths and 2 hours for Physics and Chemistry combined.
- The WBJEE syllabus 2027 includes Class 11 and 12 CBSE topics. Thus, students must refer to NCERT Class 11 and 12 books for better preparation.
WBJEE Syllabus 2027: Download Subject-Wise PDFs
The WBJEE syllabus 2027 PDF download links for the Mathematics, Physics, and Chemistry subjects will be shared with you once it is released. The official syllabus PDF link is expected to be released along with the official notification by December 2026 at wbjeeb.nic.in.
| Subjects | Download Link |
|---|---|
| WBJEE Mathematics Syllabus 2027 PDF Link | Click Here (To be Out Soon) |
| WBJEE Physics Syllabus 2027 PDF Link | Click Here (To be Out Soon) |
| WBJEE Chemistry Syllabus 2027 PDF Link | Click Here (To be Out Soon) |
Related Links:
- WBJEE Exam Preparation Tips 2027: Check Correct Strategy and Guidelines
- Appear for WBJEE Mock Test Papers: Check Subject-Wise Mock Test Links
Ques. Is a calculator allowed in the WBJEE exam 2027?
Ans. No, calculators are not allowed to be carried in the examination of the WBJEE 2027. Students are not allowed to carry any electronic devices at the exam centre. If anyone is found with any prohibited items, they will be disqualified from the examination.
WBJEE Syllabus 2027: Check Detailed Topics
The WBJEE syllabus 2027 topics for the Physics, Chemistry, and Mathematics paper is provided below.
WBJEE Physics Syllabus Topics 2027
The WBJEE exam Physics syllabus 2027 detailed topics are shared in the table below.
| Topics | Sub-Topics |
|---|---|
| Physical World, Measurements, Units and Dimensions | Physical quantities, Units and dimensions, Dimensional analysis, Applications of dimensional analysis, Errors in measurement, Significant figures |
| Kinematics | Scalars and vectors, Representation of vectors in three dimensions, Dot and cross products, Applications of vector products, Elementary differential and integral calculus, Time-velocity graphs, Equations of motion, Uniformly accelerated motion |
| Laws of Motion | Newton's laws of motion, Applications using algebra and calculus, Inertial and non-inertial frames, Conservation of linear momentum, Elastic and inelastic collisions, Impulse, Centripetal force, Banking of roads, Relative velocity, Projectile motion, Uniform circular motion |
| Work, Power and Energy | Work, Work-energy theorem, Power, Kinetic energy, Potential energy, Work done by constant forces, Work done by variable forces, Conservation of mechanical energy, Conservative and non-conservative forces, Potential energy of a spring |
| Centre of Mass, Rotational Motion and Friction | Centre of mass of a two-particle system, Motion of connected systems, Torque, Equilibrium of rigid bodies, Moment of inertia of simple geometric bodies, Conservation of angular momentum, Friction, Laws of friction |
| Gravitation | Kepler's laws, Universal law of gravitation, Acceleration due to gravity, Variation of g, Gravitational potential, Gravitational potential energy, Escape velocity, Orbital velocity, Satellites, Geostationary orbits |
| Properties of Matter | Elasticity: Hooke's law, Young's modulus, Bulk modulus, Shear/rigidity modulus, Poisson's ratio, Elastic potential energy |
| Fluids: Fluid pressure, Pressure due to a fluid column, Buoyancy, Pascal's law, Effect of gravity on fluid pressure | |
| Surface Tension: Surface energy, Surface tension phenomena, Angle of contact, Capillary rise | |
| Viscosity: Coefficient of viscosity, Streamline and turbulent flow, Reynolds number, Stokes' law, Terminal velocity, Bernoulli's theorem | |
| Heat and Thermal Physics | Heat and temperature, Thermal expansion of solids, liquids and gases, Ideal gas laws, Isothermal and adiabatic processes, Anomalous expansion of water, Specific heat capacity, Calorimetry, Change of state, Latent heat, Heat transfer, Conduction, Thermal conductivity, Convection, Radiation, Newton's law of cooling, Stefan's law |
| Thermodynamics | Thermal equilibrium, Zeroth law of thermodynamics, Heat, Work, Internal energy, First law of thermodynamics, Isothermal process, Adiabatic process, Second law of thermodynamics, Reversible and irreversible processes |
| Kinetic Theory of Gases | Equation of state of an ideal gas, Assumptions of kinetic theory, Molecular interpretation of pressure and temperature, RMS speed, Degrees of freedom, Law of equipartition of energy, Specific heats of gases, Mean free path, Avogadro number |
| Oscillations and Waves | Periodic motion, Time period, Frequency, Time-displacement equation, Simple harmonic motion, Phase, SHM in different systems, Restoring force, Force constant, Energy in SHM, Kinetic and potential energy, Free, forced and damped oscillations, Resonance, Wave motion, Progressive waves, Longitudinal and transverse waves, Sound waves, Newton's formula, Laplace's correction, Velocity of sound in air, Superposition principle, Reflection of waves, Standing waves, Strings and organ pipes, Fundamental mode, Harmonics and overtones, Beats, Doppler effect |
| Electrostatics | Conservation of electric charge, Coulomb's law, Force between multiple charges, Superposition principle, Continuous charge distribution, Electric field, Electric potential, Electric field lines, Electric dipole, Electric field due to a dipole, Torque on a dipole, Electric flux, Gauss' theorem, Applications of Gauss' law, Conductors and insulators, Free and bound charges, Dielectrics, Electric polarization, Capacitors, Capacitance, Series and parallel combination, Parallel-plate capacitor, Dielectric medium, Energy stored in a capacitor |
| Current Electricity | Electric current, Conductors, Drift velocity, Mobility, Ohm's law, Resistance, Ohmic and non-ohmic conductors, Electrical energy and power, Carbon resistors, Resistor colour codes, Combination of resistances, Temperature dependence of resistance, Cells, EMF, Internal resistance, Potential difference, Combination of cells, Secondary cells, Kirchhoff's laws, Wheatstone bridge, Metre bridge, Potentiometer, Thermoelectricity, Seebeck effect, Peltier effect, Thermo-emf |
| Magnetic Effects of Current | Magnetic field, Oersted's experiment, Biot-Savart law, Magnetic field due to circular current loop, Ampere's law, Long straight conductor, Solenoids, Toroidal solenoids, Motion of charged particles in magnetic fields, Motion in electric and magnetic fields, Cyclotron frequency, Force on current-carrying conductor, Force between parallel current-carrying conductors, Torque on a current loop, Moving-coil galvanometer, Current sensitivity, Conversion of galvanometer into ammeter and voltmeter, Range extension of ammeter and voltmeter |
| Magnetism | Current loop as magnetic dipole, Magnetic dipole moment, Magnetic moment of revolving electron, Magnetic field of a bar magnet, Axial and equatorial fields, Torque on magnetic dipole, Magnet as equivalent solenoid, Magnetic field lines, Earth's magnetic field, Magnetic elements of Earth, Diamagnetic substances, Paramagnetic substances, Ferromagnetic substances, Electromagnets, Factors affecting electromagnet strength, Permanent magnets |
| Electromagnetic Induction and Alternating Current | Electromagnetic induction, Faraday's laws, Induced EMF, Induced current, Lenz's law, Eddy currents, Self-induction, Mutual induction, Alternating current, Peak and RMS values, AC voltage, Reactance, Impedance, LR circuits, CR circuits, Phase difference, LCR series circuit, Resonance, Power in AC circuits, Wattless current |
| Electromagnetic Waves | Electromagnetic waves, Characteristics, Transverse nature, Electromagnetic spectrum, Applications of different regions of the spectrum |
| Optics – Ray Optics | Reflection, Spherical mirrors, Mirror formula, Refraction, Total internal reflection, Optical fibres, Refraction at spherical surfaces, Lenses, Thin lens formula, Lens maker's formula, Newton's relation, Displacement method, Conjugate points, Magnification, Power of lens, Combination of thin lenses, Combination of lens and mirror, Prism, Dispersion, Optical instruments, Human eye, Accommodation, Myopia and hypermetropia, Correction of eye defects, Microscopes, Astronomical telescopes, Magnifying power |
| Optics – Wave Optics | Scattering of light, Blue colour of sky, Elementary idea of Raman effect, Wavefront, Huygens' principle, Reflection and refraction using wavefronts, Interference, Young's double-slit experiment, Fringe width, Coherent sources, Fraunhofer diffraction, Single-slit diffraction |
| Particle Nature of Light and Wave-Particle Dualism | Photoelectric effect, Hertz's observations, Lenard's observations, Einstein's photoelectric equation, Particle nature of light, Matter waves, de Broglie relation, Wave nature of particles |
| Atomic Physics | Alpha-particle scattering, Rutherford's nuclear model, Bohr model, Energy levels, Hydrogen spectrum, Continuous X-rays, Characteristic X-rays |
| Nuclear Physics | Composition of nucleus, Nuclear size, Atomic masses, Isotopes, Isobars, Isotones, Radioactivity, Alpha, beta and gamma radiation, Radioactive decay law, Mass-energy relation, Mass defect, Binding energy, Binding energy per nucleon, Nuclear fission, Nuclear fusion |
| Solid-State Electronics | Energy bands, Conductors, Insulators, Semiconductors, Semiconductor diode, I-V characteristics, Forward and reverse bias, Rectifiers, LED, Photodiode, Solar cell, Zener diode, Zener diode as voltage regulator, BJT, Transistor action, BJT characteristics, BJT as amplifier, CE configuration, Transistor oscillator, Logic gates |
WBJEE Chemistry Syllabus Topics 2027
Go through the WBJEE exam 2027 syllabus Chemistry topics provided in detail below.
WBJEE Physical Chemistry Syllabus 2027
The WBJEE 2027 Physical Chemistry topics are Classification of Elements and Periodicity in Properties, Chemical Thermodynamics, States of Matter – Solids and Gases, and many more.
| Topics | Sub-Topics |
|---|---|
| Some Basic Concepts of Chemistry | Laws of chemical combination; concept of elements, atoms and molecules; atomic and molecular masses; mole concept and molar mass; percentage composition; empirical formula; molecular formula; chemical reactions; stoichiometry; calculations based on stoichiometry; different concentration terms of solutions and related calculations. |
| Structure of an Atom | Bohr's model and its limitations; shells and subshells; dual nature of matter and light; de Broglie relationship; Heisenberg uncertainty principle; Schrödinger wave equation (elementary idea only); concept of orbitals; quantum numbers; shapes of s, p and d orbitals; rules for filling electrons; Aufbau principle; Pauli's exclusion principle; Hund's rule; exchange energy; electronic configuration; stability of half-filled and filled orbitals. |
| Classification of Elements and Periodicity in Properties | Modern periodic law; present form of periodic table; periodic trends in atomic radii, ionic radii, van der Waals' radii, ionisation enthalpy, electron gain enthalpy, electronegativity and valency; nomenclature of elements with atomic number greater than 100. |
| Chemical Bonding and Molecular Structure | Valence electrons; ionic bond; bond parameters; covalent bond; Lewis structures; formal charge; polar character of covalent bonds; covalent character of ionic bonds; valence bond theory; resonance; geometry of covalent molecules; VSEPR theory; hybridisation involving s, p and d orbitals; shapes of simple molecules; intermolecular interactions; dipolar interactions; London dispersion forces; van der Waals interactions; intra- and intermolecular hydrogen bonding; molecular orbital theory of homonuclear diatomic molecules. |
| States of Matter – Solids and Gases | Classification of solids: molecular, ionic, covalent and metallic solids; amorphous and crystalline solids; unit cells in 2D and 3D lattices; packing efficiency; calculation of density of unit cell; packing in solids; voids; number of atoms per unit cell in cubic unit cells; point defects; kinetic theory of gases; molecular speeds; Dalton's law of partial pressure; Graham's law; deviation from ideal behaviour; van der Waals' equation; liquefaction of gases; critical parameters. |
| Chemical Thermodynamics | Concepts of system and surroundings; types of systems; work; heat; energy; extensive and intensive properties; state functions; Zeroth law of thermodynamics; definition of temperature; first law; internal energy change; enthalpy change; enthalpy of bond dissociation, combustion, formation, atomisation, ionisation, solution and sublimation; transformation of state; Hess's law; Born-Haber cycle and applications; second law; entropy as a state function; Gibbs free-energy change; spontaneous and non-spontaneous processes; criteria for equilibrium. |
| Equilibrium | Equilibrium in physical and chemical processes; dynamic nature of equilibrium; law of mass action; equilibrium constant; factors affecting equilibrium; Le Chatelier's principle; ionic equilibrium; ionisation of acids and bases; strong and weak electrolytes; degree of ionisation of polybasic acids; acid strength; pH; Henderson equation; hydrolysis of salts; buffer solutions; buffer action; solubility product; common-ion effect. |
| Solutions | Introduction to solutions; solubility of gases in liquids; solid solutions; vapour pressure; Raoult's law; colligative properties; relative lowering of vapour pressure; elevation of boiling point; depression of freezing point; osmotic pressure; determination of molecular mass using colligative properties; abnormal molecular mass; van't Hoff factor; calculations involving van't Hoff factor; colloidal solution; true solutions; colloids; suspensions. |
| Chemical Kinetics | Rate of reaction — average and instantaneous; factors affecting reaction rate: concentration, temperature and catalyst; order and molecularity; rate law; specific rate constant; integrated rate equations; half-life for zero- and first-order reactions; Arrhenius equation; activation energy; collision theory (elementary idea, no mathematical treatment); catalysis; homogeneous and heterogeneous catalysis; enzyme catalysis. |
| Redox Reactions | Concept of oxidation and reduction; redox reactions; oxidation number; balancing redox reactions using loss and gain of electrons; balancing by change in oxidation number; applications of redox reactions in permanganometry and dichromatometry. |
| Electrochemistry | Conductance in electrolytic solutions; specific and molar conductivity; variation of conductivity with concentration; Kohlrausch's law; electrolysis; laws of electrolysis; dry cell; electrolytic cells; galvanic cells; EMF of a cell; standard electrode potential; Nernst equation and its application to chemical cells; relation between Gibbs free-energy change and cell EMF; fuel cells; Li-ion battery. |
WBJEE Organic Chemistry Syllabus 2027
The WBJEE Organic Chemistry topics include Hydrocarbons, Alcohols, Phenols and Ethers, Cyanides and Isocyanides, and many more.
| Topics | Sub-Topics |
|---|---|
| Some Basic Principles | General introduction; classification of organic compounds; IUPAC nomenclature; electronic displacement in covalent bonds; inductive effect; resonance; hyperconjugation; homolytic and heterolytic fission; free radicals; carbocations; carbanions; electrophiles; nucleophiles; elementary idea of addition, elimination and substitution reactions. |
| Hydrocarbons | Classification of hydrocarbons. Alkanes: nomenclature, isomerism, conformations of ethane, physical properties up to 6 carbons, halogenation, free-radical mechanism, combustion and pyrolysis. Alkenes: nomenclature, double-bond structure of ethene, geometrical isomerism, physical properties up to 3 carbons, preparation; addition of hydrogen, halogens, water and hydrogen halides; Markovnikov's addition; peroxide effect; ozonolysis; oxidation; electrophilic-addition mechanism. Alkynes: nomenclature; triple-bond structure of ethyne; physical and chemical properties up to 3 carbons; preparation; addition of hydrogen, halogens, hydrogen halides and water. Aromatic hydrocarbons: introduction; IUPAC nomenclature; benzene; resonance; Hückel's rule; aromaticity; electrophilic substitution mechanism; nitration; sulphonation; halogenation; Friedel-Crafts alkylation and acylation. |
| Haloalkanes and Haloarenes | Haloalkanes: nomenclature; nature of C–X bond; physical and chemical properties; mechanism of substitution reactions; stability of carbocations; R/S and D/L configurations; uses and environmental effects of dichloromethane, trichloromethane, tetrachloromethane, iodoform and freons. Haloarenes: nature of C–X bond; substitution reaction; directive influence of halogen for monosubstituted compounds; stability of carbocations; uses and environmental effects of DDT. |
| Alcohols, Phenols and Ethers | Alcohols: nomenclature; methods of preparation; physical and chemical properties of primary alcohols; identification of primary, secondary and tertiary alcohols; mechanism of dehydration; uses of methanol and ethanol. Phenols: nomenclature; preparation; physical and chemical properties; acidic nature; electrophilic substitution reactions; uses of phenolic compounds. Ethers: nomenclature; preparation; physical and chemical properties; uses. |
| Aldehydes, Ketones and Carboxylic Acids – Aldehydes & Ketones | Nomenclature; nature of carbonyl group; methods of preparation; physical and chemical properties; mechanism of nucleophilic addition; reactivity of alpha hydrogen in aldehydes; uses. |
| Aldehydes, Ketones and Carboxylic Acids – Carboxylic Acids | Nomenclature; acidic nature; methods of preparation; physical and chemical properties; uses. |
| Organic Compounds Containing Nitrogen – Nitro Compounds | General methods of preparation; reduction reactions of nitro compounds. |
| Organic Compounds Containing Nitrogen – Amines | Nomenclature; classification; structure; methods of preparation; physical and chemical properties; uses; identification of primary, secondary and tertiary amines. |
| Cyanides and Isocyanides | Nomenclature; structure; methods of preparation; chemical reactions - hydrolysis and reduction reactions only. |
| Diazonium Salts | Preparation of diazonium salts; chemical reactions; importance in synthetic organic chemistry. |
| Biomolecules – Carbohydrates | Classification into aldoses and ketoses; monosaccharides - glucose and fructose; D/L configuration; oligosaccharides - sucrose; polysaccharides - starch and cellulose. |
| Biomolecules – Proteins | Elementary idea of α-amino acids; zwitterionic structures; peptide bonds; polypeptides; structure of proteins - primary structure only; denaturation of proteins; enzymes. |
| Biomolecules – Nucleic Acids | DNA and RNA - introduction and basic concepts. |
| Polymers | Classification into natural and synthetic polymers; methods of polymerisation - addition and condensation; copolymerisation; important polymers: polythene, nylon, polyesters, Bakelite and rubber; biodegradable and non-biodegradable polymers. |
WBJEE Inorganic Chemistry Syllabus 2027
The WBJEE 2027 Inorganic Chemistry topic list consists of p-Block Elements, d- and f-Block Elements, Coordination Compounds, etc.
| Topics | Sub-Topics |
|---|---|
| s-Block Elements (Groups 1 & 2) | Electronic configuration; occurrence; trends in properties such as ionisation enthalpy, atomic and ionic radii; chemical reactivity with oxygen, water, hydrogen and halogens; hydrides - ionic, covalent and interstitial; hydrogen peroxide - preparation, properties, structure and uses; hydrogen as a fuel; biological importance of Na, K, Mg and Ca. |
| p-Block Elements – General & Group 13 | General introduction to p-block elements; electronic configuration; occurrence; variation in properties; oxidation states; trends in chemical reactivity. Group 13: Boron — physical and chemical properties of compounds; boron oxides; boric acid; borates; inorganic graphite. Aluminium: reactions with acids and alkalis. |
| p-Block Elements – Group 14 | Carbon: catenation; allotropic forms; nanocarbon; graphene; physical and chemical properties of CO and CO₂. Silicon: compounds and important uses; silicon tetrachloride - structure, preparation, hydrolysis and reduction; silicates - structure of open-chain silicates and construction of ions; uses of zeolites. |
| p-Block Elements – Group 15 | General introduction; electronic configuration; occurrence; oxidation states; structure and reactions of NH₃, HNO₃ and NCl₃; structures of nitrogen oxides; phosphorus - allotropes (white and red); preparation and properties of phosphine; phosphorus halides PCl₃ and PCl₅; oxoacids of phosphorus - elementary idea. |
| p-Block Elements – Group 16 | General introduction; electronic configuration; occurrence; oxidation states. Oxygen: classification of oxides; preparation and properties of ozone. Sulphur: rhombic and monoclinic allotropes; properties and uses of sulphur oxides, oxoacids and peracids. |
| p-Block Elements – Group 17 | General introduction; electronic configuration; oxidation states; occurrence; trends in physical and chemical properties; halogen compounds; preparation, structure and uses of oxides and oxoacids of halogens; interhalogen compounds; elementary idea of pseudohalogens and polyhalides. |
| p-Block Elements – Group 18 | General introduction; electronic configuration; occurrence and uses of noble gases; preparation, structure and chemical reactions. |
| d- and f-Block Elements – Transition Metals | General introduction; electronic configuration; occurrence; characteristics of transition metals; general trends in first-row transition metals — ionic radii, ionisation enthalpy, oxidation states, colour, catalytic properties and magnetic properties. |
| d- and f-Block Elements – Lanthanoids | Electronic configuration; oxidation states; chemical reactivity; lanthanoid contraction and its consequences; uses. |
| d- and f-Block Elements – Actinoids | Electronic configuration; oxidation states; comparison with lanthanoids; uses. |
| Coordination Compounds | Introduction; ligands; classification of ligands based on denticity and field strength; coordination number; colour; magnetic properties; IUPAC nomenclature of mononuclear coordination compounds; EAN rule; bonding - Werner's theory, VBT and CFT; CFSE; structural isomerism; stereoisomerism; importance of coordination compounds in qualitative analysis, extraction of metals and biological systems. |
WBJEE Environmental Chemistry Syllabus 2027
The WBJEE exam syllabus 2027 Environmental Chemistry paper includes Qualitative & Quantitative Analysis and Environmental Chemistry.
| Topics | Sub-Topics |
|---|---|
| Environmental Chemistry | Environmental pollution - air, water and soil pollution; causes and effects; primary and secondary pollutants; solid and liquid pollutants; chemical reactions in the atmosphere; smog; pollution due to industrial wastes; solid-waste management - elementary idea; SPM; RSPM; green chemistry as an alternative tool for reducing pollution; water preservation and protection; strategies for controlling environmental pollution |
| Qualitative & Quantitative Analysis | Detection of special elements N, S and halogens in organic compounds by Lassaigne's test; identification of functional groups - primary aromatic amine, aldehyde, ketone, carboxylic acid and unsaturation; calculations based on acid-base and redox titrations; dichromatometry and permanganometry; detection of water-soluble, non-interfering acid and basic radicals by dry and wet tests. |
WBJEE Mathematics Syllabus Topics 2027
The detailed WBJEE syllabus 2027 Mathematics topics are given below.
| Chapters | Topics | Sub-Topic |
|---|---|---|
| Algebra | Arithmetic, Geometric and Harmonic Progressions | Definition and properties of A.P., G.P. and H.P, General term of an A.P. and G.P, Sum of the first n terms, Arithmetic and geometric means, Relationship between A.M. and G.M, Infinite G.P. and its sum, Summation of: Natural numbers, Squares of natural numbers, Cubes of natural numbers |
| Logarithms | Definition of logarithm, Basic properties, Laws of logarithms, Change of base | |
| Complex Numbers | Complex numbers as ordered pairs of real numbers, Algebra of complex numbers, Complex conjugate, Modulus and amplitude, Properties of complex numbers, Triangle inequality, Square roots of complex numbers, Cube roots of unity, De Moivre's theorem, Elementary applications of De Moivre's theorem, Quadratic equations in the complex number system | |
| Polynomial and Quadratic Equations | Polynomial equations, Roots of an nth-degree equation, Quadratic equations with real coefficients, Relation between roots and coefficients, Nature of roots, Formation of quadratic equations, Sign and magnitude of quadratic expressions, Properties of quadratic expressions | |
| Permutation and Combination | Permutation of n different objects taken r at a time, Permutations when objects are not all different, Permutations with repetitions, Circular permutation is excluded, Combinations of n different objects, Combinations involving repeated objects, Basic properties of permutations and combinations, Problems involving both P&C | |
| Mathematical Induction | Principle of mathematical inductionProof of: Sum of squares, Sum of cubes, Divisibility properties | |
| Binomial Theorem | Binomial theorem for positive integral index, General term, Middle term, Equidistant terms, Properties of binomial coefficients | |
| Matrices and Determinants | Matrices up to 3 × 3, Types and concepts of matrices, Addition and scalar multiplication, Matrix multiplication, Transpose, Determinants, Properties of determinants, Minors and cofactors, Adjoint, Non-singular matrices, Inverse of a matrix, Area of a triangle using determinants, Solution of simultaneous linear equations, Systems involving up to three variables | |
| Sets, Relations and Mappings | Sets and subsets, Power set, Complement, Union, intersection and difference, Venn diagrams, De Morgan's laws, Inclusion-exclusion principle, Cartesian product, Relations and their properties, Equivalence relations, Functions/mappings, Domain and range, Injective, surjective and bijective mappings, Composition of mappings, Inverse of a mapping | |
| Statistics and Probability | Measures of dispersion, Mean, Variance, Standard deviation, Frequency distribution, Addition and multiplication rules of probability, Conditional probability, Bayes' theorem, Independent events, Repeated independent trials, Binomial distribution | |
| Trigonometry | - | Trigonometric functions, Trigonometric identities, Addition and subtraction formulae, Multiple-angle formulae, Submultiple-angle formulae, General solutions of trigonometric equations, Properties of triangles, Inverse trigonometric functions, Properties of inverse trigonometric functions |
| Coordinate Geometry – Two Dimensions | Straight Lines | Distance formula, Section formula, Area of triangle, Collinearity of three points, Cartesian coordinates, Polar coordinates, Conversion between Cartesian and polar coordinates, Transformation of axes, Locus, Locus problems, Slope of a line, Different forms of equation of a line, Angle between two lines, Parallel and perpendicular lines, Distance of a point from a line, Distance between parallel lines, Lines through the intersection of two lines, Angle bisectors |
| Circle | Equation of a circle with given centre and radius, General equation of a circle, Conditions for a second-degree equation to represent a circle, Circle with endpoints of a diameter, Tangent and normal, Chord, Parametric equation of a circle, Intersection of line and circle, Common chord of two intersecting circles | |
| Conic Sections | Definition of conic sections, FocusDirectrix, Eccentricity, Classification based on eccentricity, Parabola, Ellipse, Hyperbola, Standard equations, Foci, Directrices, Eccentricities, Parametric equations | |
| Coordinate Geometry – Three Dimensions | – | Direction cosines, Direction ratios, Distance between two points, 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, Composition of functions, Inverse functions, Limits, ContinuityDifferentiability, Derivatives, Chain rule, Differentiation of functions in different forms, Differential coefficient |
| Applications of Derivatives | Rolle's theorem, Lagrange's Mean Value Theorem, Geometrical interpretation, L'Hospital's rule, Second-order derivatives, Monotonicity, Maxima and minima, Tangents and normals, Conditions of tangency, Rate of change, Motion in a straight line with constant acceleration | |
| Integral Calculus | Integration as reverse differentiation, Standard indefinite integrals, Integration by substitution, Integration by parts, Integration using partial fractions, Definite integrals, Definite integral as a limit of a sum, Fundamental theorem of integral calculus, Properties of definite integrals, Applications of definite integrals, Area bounded by curves and straight lines, Area between two curves | |
| Differential Equations | Formation of ordinary differential equations, Homogeneous differential equations, Separation of variables, Linear first-order differential equations | |
| Vectors | – | Addition of vectors, Scalar multiplication, Dot product, Cross product, Scalar triple product |
WBJEE Exam Syllabus 2027: Subject-Wise Topics Weightage
The WBJEE 2027 exam syllabus topics along with expected weightage of all three subjects have been provided below.
- For the WBJEE Mathematics exam paper, the most important topics are Calculus, Algebra, and Coordinate Geometry.
- The important WBJEE Physics topics are Electrostatics, Current Electricity, Optics, and Modern Physics.
- The important Chemistry topics for the WBJEE 2027 examination are Chemical Bonding and Molecular Structure, Chemical Equilibrium, and Chemical Kinetics.
The WBJEE exam syllabus 2027 Environmental Chemistry paper includes Qualitative & Quantitative Analysis and Environmental Chemistry.
| Topics | Sub-Topics |
|---|---|
| Environmental Chemistry | Environmental pollution - air, water and soil pollution; causes and effects; primary and secondary pollutants; solid and liquid pollutants; chemical reactions in the atmosphere; smog; pollution due to industrial wastes; solid-waste management - elementary idea; SPM; RSPM; green chemistry as an alternative tool for reducing pollution; water preservation and protection; strategies for controlling environmental pollution |
| Qualitative & Quantitative Analysis | Detection of special elements N, S and halogens in organic compounds by Lassaigne's test; identification of functional groups - primary aromatic amine, aldehyde, ketone, carboxylic acid and unsaturation; calculations based on acid-base and redox titrations; dichromatometry and permanganometry; detection of water-soluble, non-interfering acid and basic radicals by dry and wet tests. |
WBJEE Mathematics Syllabus Topics 2027
The detailed WBJEE syllabus 2027 Mathematics topics are given below.
| Chapters | Topics | Sub-Topic |
|---|---|---|
| Algebra | Arithmetic, Geometric and Harmonic Progressions | Definition and properties of A.P., G.P. and H.P, General term of an A.P. and G.P, Sum of the first n terms, Arithmetic and geometric means, Relationship between A.M. and G.M, Infinite G.P. and its sum, Summation of: Natural numbers, Squares of natural numbers, Cubes of natural numbers |
| Logarithms | Definition of logarithm, Basic properties, Laws of logarithms, Change of base | |
| Complex Numbers | Complex numbers as ordered pairs of real numbers, Algebra of complex numbers, Complex conjugate, Modulus and amplitude, Properties of complex numbers, Triangle inequality, Square roots of complex numbers, Cube roots of unity, De Moivre's theorem, Elementary applications of De Moivre's theorem, Quadratic equations in the complex number system | |
| Polynomial and Quadratic Equations | Polynomial equations, Roots of an nth-degree equation, Quadratic equations with real coefficients, Relation between roots and coefficients, Nature of roots, Formation of quadratic equations, Sign and magnitude of quadratic expressions, Properties of quadratic expressions | |
| Permutation and Combination | Permutation of n different objects taken r at a time, Permutations when objects are not all different, Permutations with repetitions, Circular permutation is excluded, Combinations of n different objects, Combinations involving repeated objects, Basic properties of permutations and combinations, Problems involving both P&C | |
| Mathematical Induction | Principle of mathematical inductionProof of: Sum of squares, Sum of cubes, Divisibility properties | |
| Binomial Theorem | Binomial theorem for positive integral index, General term, Middle term, Equidistant terms, Properties of binomial coefficients | |
| Matrices and Determinants | Matrices up to 3 × 3, Types and concepts of matrices, Addition and scalar multiplication, Matrix multiplication, Transpose, Determinants, Properties of determinants, Minors and cofactors, Adjoint, Non-singular matrices, Inverse of a matrix, Area of a triangle using determinants, Solution of simultaneous linear equations, Systems involving up to three variables | |
| Sets, Relations and Mappings | Sets and subsets, Power set, Complement, Union, intersection and difference, Venn diagrams, De Morgan's laws, Inclusion-exclusion principle, Cartesian product, Relations and their properties, Equivalence relations, Functions/mappings, Domain and range, Injective, surjective and bijective mappings, Composition of mappings, Inverse of a mapping | |
| Statistics and Probability | Measures of dispersion, Mean, Variance, Standard deviation, Frequency distribution, Addition and multiplication rules of probability, Conditional probability, Bayes' theorem, Independent events, Repeated independent trials, Binomial distribution | |
| Trigonometry | - | Trigonometric functions, Trigonometric identities, Addition and subtraction formulae, Multiple-angle formulae, Submultiple-angle formulae, General solutions of trigonometric equations, Properties of triangles, Inverse trigonometric functions, Properties of inverse trigonometric functions |
| Coordinate Geometry – Two Dimensions | Straight Lines | Distance formula, Section formula, Area of triangle, Collinearity of three points, Cartesian coordinates, Polar coordinates, Conversion between Cartesian and polar coordinates, Transformation of axes, Locus, Locus problems, Slope of a line, Different forms of equation of a line, Angle between two lines, Parallel and perpendicular lines, Distance of a point from a line, Distance between parallel lines, Lines through the intersection of two lines, Angle bisectors |
| Circle | Equation of a circle with given centre and radius, General equation of a circle, Conditions for a second-degree equation to represent a circle, Circle with endpoints of a diameter, Tangent and normal, Chord, Parametric equation of a circle, Intersection of line and circle, Common chord of two intersecting circles | |
| Conic Sections | Definition of conic sections, FocusDirectrix, Eccentricity, Classification based on eccentricity, Parabola, Ellipse, Hyperbola, Standard equations, Foci, Directrices, Eccentricities, Parametric equations | |
| Coordinate Geometry – Three Dimensions | – | Direction cosines, Direction ratios, Distance between two points, 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, Composition of functions, Inverse functions, Limits, ContinuityDifferentiability, Derivatives, Chain rule, Differentiation of functions in different forms, Differential coefficient |
| Applications of Derivatives | Rolle's theorem, Lagrange's Mean Value Theorem, Geometrical interpretation, L'Hospital's rule, Second-order derivatives, Monotonicity, Maxima and minima, Tangents and normals, Conditions of tangency, Rate of change, Motion in a straight line with constant acceleration | |
| Integral Calculus | Integration as reverse differentiation, Standard indefinite integrals, Integration by substitution, Integration by parts, Integration using partial fractions, Definite integrals, Definite integral as a limit of a sum, Fundamental theorem of integral calculus, Properties of definite integrals, Applications of definite integrals, Area bounded by curves and straight lines, Area between two curves | |
| Differential Equations | Formation of ordinary differential equations, Homogeneous differential equations, Separation of variables, Linear first-order differential equations | |
| Vectors | – | Addition of vectors, Scalar multiplication, Dot product, Cross product, Scalar triple product |
WBJEE Exam Syllabus 2027: Subject-Wise Topics Weightage
The WBJEE 2027 exam syllabus topics along with expected weightage of all three subjects have been provided below.
- For the WBJEE Mathematics exam paper, the most important topics are Calculus, Algebra, and Coordinate Geometry.
- The important WBJEE Physics topics are Electrostatics, Current Electricity, Optics, and Modern Physics.
- The important Chemistry topics for the WBJEE 2027 examination are Chemical Bonding and Molecular Structure, Chemical Equilibrium, and Chemical Kinetics.
WBJEE Physics Syllabus 2027: Topic-wise Weightage
The WBJEE exam 2027 Physics paper carries 40 multiple-choice questions for 50 marks. The Physics syllabus topic weightage in the WBJEE 2027 exam is 25%.
Students must put more emphasis on Current Electricity, Electrostatics, Optics, and Modern Physics and work on the numerical concepts of Mechanics, Electricity, and Magnetism.
| Topics | Expected Questions | Expected Marks | Expected Weightage |
|---|---|---|---|
| Physical World, Units & Dimensions, Errors | 2 | 5% | 2 - 3 |
| Kinematics | 2 | 5% | 2–3 |
| Laws of Motion, Friction & Circular Motion | 2 | 5% | 2 - 3 |
| Work, Energy & Power, Collisions | 2 | 5% | 2 - 3 |
| Rotational Motion & Moment of Inertia | 2 | 5% | 2 - 3 |
| Gravitation | 1 | 2.5% | 1 - 2 |
| Properties of Matter: Elasticity, Fluids, Viscosity & Surface Tension | 3 | 7.5% | 3 - 4 |
| Heat, Thermodynamics & Kinetic Theory of Gases | 4 | 10% | 5 |
| Oscillations & Waves, SHM & Sound | 3 | 7.5% | 3 - 4 |
| Electrostatics | 3 | 7.5% | 3 - 4 |
| Current Electricity | 3 | 7.5% | 3 - 4 |
| Magnetic Effects of Current & Magnetism | 3 | 7.5% | 3 - 4 |
| Electromagnetic Induction & Alternating Current | 2 | 5% | 2 - 3 |
| Electromagnetic Waves | 1 | 2.5% | 1 - 2 |
| Ray Optics | 2 | 5% | 2 - 3 |
| Wave Optics | 1 | 2.5% | 1 - 2 |
| Modern Physics: Dual Nature, Atomic & Nuclear Physics, X-rays | 3 | 7.5% | 3 - 4 |
| Solid State Electronics: Semiconductors, Diodes, Transistors & Logic Gates | 1 | 2.5% | 1 - 2 |
WBJEE Chemistry Syllabus 2027: Check Topic-Wise Weightage
The WBJEE syllabus 2027 Chemistry paper consists of 40 multiple-choice questions for 50 marks. The weightage of the Chemistry paper is 25% of the WBJEE exam.
By covering Organic Chemistry and Chemical Kinetics & Equilibrium, students will be able to cover 30 - 35% of the syllabus.
| Chemistry Topic | Expected Questions | Expected Weightage | Expected Marks |
|---|---|---|---|
| Chemical Kinetics | 2 - 3 | 6 - 7% | 3 - 4 |
| Chemical Bonding | 2 - 3 | 6 - 7% | 3 - 4 |
| p-Block Elements | 2 - 3 | 6 - 7% | 3 - 4 |
| d- & f-Block Elements | 2 - 3 | 5 - 6% | 3 - 4 |
| Organic Chemistry – Basic Principles | 2 - 3 | 5 - 6% | 3 - 4 |
| Coordination Compounds | 2 | 4 - 5% | 2 - 3 |
| Redox Reactions & Electrochemistry | 2 | 4 - 5% | 2 - 3 |
| Chemical Thermodynamics | 2 | 4 - 5% | 2 - 3 |
| Alcohols, Phenols & Ethers | 2 | 4 - 5% | 2 - 3 |
| Carboxylic Acids & Derivatives | 2 | 4 - 5% | 2 - 3 |
| Ionic Equilibrium | 1 - 2 | 3 - 4% | 2 - 3 |
| Chemical Equilibrium | 1 - 2 | 3 - 4% | 2 - 3 |
| Atomic Structure | 1 - 2 | 3 - 4% | 2 - 3 |
| Organic Chemistry – Hydrocarbons | 1 - 2 | 3 - 4% | 2 - 3 |
| Haloalkanes & Haloarenes | 1 - 2 | 3 - 4% | 2 - 3 |
| Aldehydes & Ketones | 1 - 2 | 3 - 4% | 2 - 3 |
| Amines & Nitrogen Compounds | 1 - 2 | 3 - 4% | 2 - 3 |
| Solutions & Colloids | 1 - 2 | 3 - 4% | 2 - 3 |
| S-Block Elements | 1 - 2 | 3 - 4% | 2 - 3 |
| Metallurgy / Chemistry of Metals | 1 | 2 - 3% | 1 - 2 |
| Hydrogen | 1 | 2 - 3% | 1 - 2 |
| Environmental Chemistry | 1 | 1 - 2% | 1 - 2 |
| Polymers | 1 | 2 - 3% | 1 - 2 |
| Biomolecules | 1 | 2 - 3% | 1 - 2 |
| Surface Chemistry | 1 | 2 - 3% | 1 - 2 |
| Qualitative Analysis | 1 | 2 - 3% | 1 - 2 |
| Chemistry in Industry | 0 - 1 | 1 - 2% | 0 - 2 |
| Chemistry of Carbon Compounds / Applied Chemistry | 0 - 1 | 1 - 2% | 0 - 2 |
WBJEE Mathematics Syllabus 2027: Check Topic-Wise Weightage
The WBJEE 2027 exam Mathematics paper consists of 75 multiple-choice questions with 100 marks. The Mathematics paper alone carries 50% of the WBJEE exam weightage.
Thus, students must focus more on the Maths paper.
| Mathematics Topic | Expected Questions | Expected Marks | Expected Weightage |
|---|---|---|---|
| Calculus | 15 - 17 | 20 - 23 | 20 - 23% |
| Algebra | 16 - 18 | 20 - 24 | 20 - 24% |
| Coordinate Geometry | 9 - 11 | 12 - 15 | 12 - 15% |
| Vectors | 5 - 6 | 6 - 8 | 6 - 8% |
| Probability | 5 - 6 | 6 - 8 | 6 - 8% |
| 3D Geometry | 4 - 5 | 5 - 7 | 5 - 7% |
| Trigonometry | 4 - 5 | 5 - 6 | 5 - 6% |
| Matrices & Determinants | 4 - 5 | 5 - 7 | 5 - 7% |
| Complex Numbers | 3 - 4 | 4 - 5 | 4 - 5% |
| Permutation & Combination | 2 - 3 | 3 - 4 | 3 - 4% |
| Sets, Relations & Functions | 2 - 3 | 3 - 4 | 3 - 4% |
Appear for WBJEE Mock Test Papers:
- WBJEE Physics Mock Test Papers: Attempt for Free
- Check WBJEE Chemistry Mock Test Links, Attempt in Online Mode for Free
- WBJEE Mathematics Mock Paper Link, Practice Questions for Free, Learn Question Structure
Ques. What are the important topics in WBJEE Mathematics Syllabus 2027?
Ans. There are a few important topics in the WBJEE Maths paper that students should cover on a priority basis. The list includes Calculus, Algebra, Coordinate Geometry, Vectors, 3D Geometry, Probability, Trigonometry, Matrices and Determinants.
WBJEE Exam Syllabus 2027 Important Chapters
The WBJEE Syllabus 2027 important topics for the Physics, Chemistry, and Mathematics papers are provided here. Applicants must focus more on the shared topics.
| Mathematics | Physics | Chemistry |
|---|---|---|
| Integral Calculus | Current Electricity | Organic Chemistry |
| Matrices & Determinants | Electrostatics | Chemical Kinetics |
| Complex Numbers | Optics | Chemical Bonding |
| Coordinate Geometry | Modern Physics | Chemical Equilibrium |
| Differential Calculus | Thermodynamics | Atomic Structure |
| Differential Equations | Magnetic Effects of Current | Chemical Energetics |
| Vectors & 3D Geometry | Electromagnetic Induction & AC | Coordination Compounds |
A Reddit user asked for guidance for WBJEE 2027 preparation.
Replying to that, another user said that if you are preparing for WBJEE, then you must focus on covering the JEE syllabus, as the topics are similar. Further, you must focus on speed and accuracy for better results.
Source: Reddit
How to Download WBJEE Syllabus PDF 2027?
The steps to download the WBJEE 2027 syllabus PDF, students must check the step-by-step guide provided below.
- Step 1: Go to the official website of WBJEE - wbjeeb.nic.in.
- Step 2: Check for the “WBJEE Syllabus 2027 PDF” link.
- Step 3: Click on the relevant link received.
- Step 4: The subject-wise syllabus PDF links will be displayed on the screen.
- Step 5: Check and download the WBJEE syllabus PDFs.
Related Links:
Ques. Which chapters should I study first for WBJEE 2027?
Ans. The list of chapters students must cover first for the WBJEE 2027 exam is Mechanics and Electricity in Physics, Chemical Bonding and Physical/Organic Chemistry in Chemistry, and Algebra and Calculus in Mathematics. The weightage of these topics is high compared to other topics.
Which Books Are Best for WBJEE Exam 2027 Preparation?
The list of WBJEE books 2027 for the Physics, Chemistry, and Mathematics papers is shared below. Students must refer to the list of books provided to prepare effectively for the WBJEE exam 2027.
| Subjects | Best Book | Author/Publisher |
|---|---|---|
| Physics | Concepts of Physics Vol. 1 & 2 | H.C. Verma |
| Understanding Physics | D.C. Pandey, Arihant | |
| Fundamentals of Physics | V.K. Mehta | |
| Chemistry | NCERT Chemistry Class 11 & 12 | NCERT |
| Physical Chemistry | O.P. Tandon | |
| Organic Chemistry | O.P. Tandon | |
| Organic Chemistry | Morrison & Boyd | |
| Mathematics | Mathematics for Class 11 & 12 | R.D. Sharma |
| Mathematics | R.S. Aggarwal | |
| Higher Algebra | Hall & Knight | |
| Plane Trigonometry | S.L. Loney |
WBJEE Exam Pattern 2027: Check Subject-Wise Pattern
The WBJEE 2027 subject-wise exam pattern has been specified in the section below. It will help students understand the exam structure and marking scheme in detail.
WBJEE Mathematics Exam Pattern 2027
The WBJEE 2027 Mathematics exam pattern includes the following:
- The exam is conducted for 2 hours.
- The exam carries 75 questions for 100 marks.
- The negative marking varies based on categories.
| Category | No. of Questions | Total Marks | Correct Answer Type | Negative Marking |
|---|---|---|---|---|
| Category 1 | 50 | 50 | Single option correct | –0.25 marks per wrong answer |
| Category 2 | 15 | 30 | Single option correct | –0.50 marks per wrong answer |
| Category 3 | 10 | 20 | One or more options correct | No negative marking (Partial marks awarded) |
WBJEE Physics Exam Pattern 2027
The WBJEE Physics 2027 exam pattern states that the paper consists of 40 questions for 50 marks with 25% weightage.
The exam duration for the Physics paper is 1 hour.
| Category | No. of Questions | Total Marks | Correct Answer Type | Negative Marking |
|---|---|---|---|---|
| Category 1 | 30 | 30 | Single option correct | –0.25 marks per wrong answer |
| Category 2 | 5 | 10 | Single option correct | –0.50 marks per wrong answer |
| Category 3 | 5 | 10 | One or more options correct | No negative marking (Partial marks awarded) |
WBJEE Chemistry Exam Pattern 2027
As per the WBJEE 2027 Chemistry exam pattern, the exam is conducted for 1 hour. The total number of questions is 40 for 50 marks.
| Category | No. of Questions | Total Marks | Correct Answer Type | Negative Marking |
|---|---|---|---|---|
| Category 1 | 30 | 30 | Single option correct | –0.25 marks per wrong answer |
| Category 2 | 5 | 10 | Single option correct | –0.50 marks per wrong answer |
| Category 3 | 5 | 10 | One or more options correct | No negative marking (Partial marks awarded) |
WBJEE Previous Year Question Paper Links:
WBJEE Syllabus 2027 FAQs
Ques. Is the WBJEE syllabus 2027 based on Class 11 and 12 of CBSE?
Ans. Yes, the WBJEE 2027 exam syllabus is prepared considering the CBSE Class 11 and 12 topics. Students are advised to cover the CBSE Class 11 and 12 topics in detail to secure good marks in the WBJEE 2027 examination.
Ques. Which are the high-weightage topics of the WBJEE Chemistry 2027 paper?
Ans. The WBJEE 2027 Chemistry high-weightage topics are Organic Chemistry, Chemical Kinetics, Chemical Bonding, p-Block Elements, Thermodynamics, Equilibrium, Redox Reactions, and Coordination Compounds.
Ques. Is WBJEE harder than the JEE exam?
Ans. The JEE exam is considered a harder and more difficult exam compared to WBJEE. The topics covered in the JEE exam are quite extensive. The questions asked are more concept-based. However, the WBJEE is also challenging because of its unique time division. It is hard to manage time and complete the paper. Thus, candidates are advised to prepare well and not to consider any exam hard or easy.
Ques. Has the WBJEE syllabus 2027 changed?
Ans. No, there is no change in the WBJEE 2027 exam syllabus announced by the authority yet. The official syllabus for the 2027 academic year has not been released yet. It is expected to be released along with the official brochure. Meanwhile, students must follow the syllabus topics followed in the previous year. If there is any such announcement, it will be notified.
Ques. Are NCERT books enough for the WBJEE exam preparation?
Ans. No, NCERT books alone are not enough to score high marks in the WBJEE exam 2027. The NCERT books are helpful in learning the basic concepts of the topics and understanding the formulas. However, to secure high marks, students should refer to other books and study materials as well.
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