Bihar Board Syllabus 2027: Subject-Wise Topics, PDF Download and Chapter-Wise Weightage

Electric Charges, Coulomb’s Law, Electric Field Lines, Electric Dipole, Gauss’s Law, Electrostatic Potential and Capacitance, Dielectrics, Van de Graaff Generator.

Electric Current, Ohm’s Law, Resistivity and Conductivity, Kirchhoff’s Laws, Wheatstone Bridge, Metre Bridge, Potentiometer, EMF, Internal Resistance.

Biot-Savart Law, Ampere’s Circuital Law, Moving Coil Galvanometer, Cyclotron, Magnetic Dipole, Bar Magnet, Earth’s Magnetism, Dia/Para/Ferromagnetic Materials, Hysteresis.

Faraday’s Laws, Lenz’s Law, Motional EMF, Self-Inductance, Mutual Inductance, AC Generator, Transformers, LC Oscillations, Resonance, Power in AC Circuits.

Displacement Current, Maxwell’s Equations (qualitative), Electromagnetic Spectrum, Properties of EM Waves.

Reflection at Spherical Surfaces, Mirror Formula, Refraction at Spherical Surfaces, Thin Lens Formula, Lensmaker’s Equation, Refraction through a Prism, Dispersion, Optical Instruments (Microscope, Telescope), Huygens’ Principle, Interference, Young’s Double Slit Experiment, Diffraction, Polarisation, Brewster’s Law.

Photoelectric Effect, Einstein’s Photoelectric Equation, Stopping Potential, Work Function, de Broglie Wavelength, Davisson-Germer Experiment.

Rutherford’s Model, Bohr’s Atomic Model, Energy Levels, Hydrogen Spectrum, Nuclear Composition, Radioactivity, Alpha/Beta/Gamma Decay, Half-Life, Nuclear Fission, Nuclear Fusion, Binding Energy.

p-n Junction Diode, Half-Wave and Full-Wave Rectifiers, Zener Diode, LED, Photodiode, Solar Cell, Transistors (CE Configuration), Logic Gates (AND, OR, NOT, NAND, NOR), Integrated Circuits.

Elements of a Communication System, Bandwidth of Signals, Bandwidth of Transmission Media, Propagation of EM Waves, Modulation (AM, FM, PM), Demodulation, Satellite Communication, Internet, Mobile Telephony.

Types of Solutions, Concentration Terms (Molarity, Molality, Mole Fraction), Vapour Pressure, Raoult’s Law, Colligative Properties, Van’t Hoff Factor, Abnormal Molar Masses.

Electrolytic and Metallic Conduction, Kohlrausch’s Law, Electrochemical Cells, EMF, Nernst Equation, Standard Electrode Potential, Fuel Cells, Corrosion.

Rate of Reaction, Rate Laws, Order of Reaction, Integrated Rate Equations, Half-Life, Pseudo-First Order Reactions, Arrhenius Equation, Activation Energy, Catalysis.

Adsorption (Physisorption vs Chemisorption), Freundlich Adsorption Isotherm, Catalysis, Colloids, Tyndall Effect, Brownian Motion, Electrophoresis, Coagulation, Emulsions.

Principles of Metallurgy, Concentration Methods, Reduction (Smelting, Electrolytic), Refining; Metallurgy of Aluminium, Iron, Copper, and Zinc.

Group 15 (Nitrogen Family): Ammonia, Nitric Acid, Phosphorus allotropes; Group 16 (Oxygen Family): Sulphuric Acid, Ozone; Group 17 (Halogens): Hydrogen Halides, Interhalogen Compounds; Group 18 (Noble Gases): Properties and Uses.

General Properties of Transition Elements, Potassium Permanganate, Potassium Dichromate (preparation and uses), Lanthanoids and Actinoids (properties and trends).

Werner’s Theory, IUPAC Nomenclature, Isomerism (Geometric, Optical), Valence Bond Theory, Crystal Field Theory, Stability of Complexes, Biological Importance.

Classification, Nomenclature, Nucleophilic Substitution (SN1, SN2), Optical Activity, Elimination Reactions, Polyhalogen Compounds, Uses.

Classification, Preparation, Physical Properties, Chemical Reactions of Alcohols, Acidic Nature of Phenols, Reactions of Phenols, Williamson Synthesis of Ethers.

Nucleophilic Addition Reactions, Aldol Condensation, Cannizzaro Reaction, Clemmensen Reduction, Acidic Strength of Carboxylic Acids, Fischer Esterification, Acyl Chlorides, Anhydrides.

Classification, Preparation, Physical and Chemical Properties, Basic Character, Diazonium Salts, Coupling Reactions, Carbylamine Reaction.

Carbohydrates, Proteins, Enzymes, Nucleic Acids (DNA and RNA), Vitamins, Hormones; Addition and Condensation Polymers, Natural and Synthetic Rubber; Drugs, Antibiotics, Disinfectants, Antacids, Food Preservatives, Cleansing Agents.

Types of Relations (Reflexive, Symmetric, Transitive, Equivalence), Types of Functions (One-one, Onto, Bijective), Composition and Inverse of Functions; Range of Inverse Trigonometric Functions, Principal Value Branch, Properties of Inverse Trig Functions.

Types of Matrices, Operations on Matrices, Transpose, Symmetric and Skew-Symmetric Matrices, Invertible Matrices; Properties of Determinants, Adjoint, Inverse of a Matrix, Solution of System of Equations using Cramer’s Rule and Matrix Method.

Continuity of Functions, Chain Rule, Derivatives of Composite Functions, Rolle’s Theorem, Mean Value Theorem, Maxima and Minima, Rate of Change; Indefinite Integrals, Methods of Integration (Substitution, Partial Fractions, Integration by Parts), Definite Integrals, Area Under Curves; Order and Degree, Variable Separable Method, Homogeneous Differential Equations, Linear Differential Equations.

Magnitude and Direction of Vectors, Dot Product, Cross Product, Scalar Triple Product; Direction Cosines, Equations of Lines and Planes in 3D, Angle Between Lines and Planes, Distance Between a Point and a Plane.

Feasible Region, Corner Point Method, Maximization and Minimization of Objective Function, Formulation of LPP from Word Problems.

Conditional Probability, Multiplication Theorem, Independent Events, Total Probability Theorem, Bayes’ Theorem, Random Variable, Probability Distribution, Mean and Variance of a Random Variable, Binomial Distribution.

Asexual Reproduction (Budding, Fragmentation, Sporulation), Sexual Reproduction Lifecycle; Flower Structure, Pollination Types, Fertilization, Embryo Development, Seed and Fruit Formation; Male and Female Reproductive Systems, Spermatogenesis, Oogenesis, Menstrual Cycle, Fertilization; Contraceptive Methods, STDs, Amniocentesis, MTP.

Mendel’s Laws of Inheritance, Chromosomal Theory, Linkage and Crossing Over, Sex Determination, Mutations, Chromosomal Disorders; DNA Structure (Watson-Crick Model), DNA Replication, Transcription, Translation, Genetic Code, Gene Expression, Lac Operon, Human Genome Project; Origin of Life, Darwinism, Lamarckism, Natural Selection, Speciation, Adaptive Radiation, Hardy-Weinberg Equilibrium.

Common Diseases (Malaria, Typhoid, Pneumonia, Amoebiasis), Immunity (Innate and Acquired), AIDS, Cancer, Drugs and Alcohol Abuse; Animal Breeding, Plant Tissue Culture, Single Cell Protein; Biogas, Sewage Treatment, Antibiotics, Biocontrol Agents.

Recombinant DNA Technology, Tools (Restriction Enzymes, Vectors, PCR), Gel Electrophoresis, Bioreactors; Applications in Healthcare (Insulin, Vaccines), Agriculture (Bt Cotton, Golden Rice), Transgenic Organisms, Ethical Issues (Biopiracy).

Population Attributes, Population Interactions (Mutualism, Predation, Parasitism, Commensalism, Competition), Ecosystem Structure, Energy Flow, Food Chain and Web, Ecological Succession, Nutrient Cycling; Biodiversity Types, Hotspots, Conservation (In-situ and Ex-situ); Pollution (Air, Water, Soil, Noise), Climate Change, Ozone Depletion, Biomagnification.

Euclid’s Division Lemma and Algorithm, Fundamental Theorem of Arithmetic, Proofs of Irrationality of √2 and √3, Decimal Representation of Rational Numbers.

Zeros and Division Algorithm for Polynomials; Graphical and Algebraic Methods (Substitution, Elimination, Cross-Multiplication); Quadratic Formula, Nature of Roots, Factorization, Completing the Square; nth Term of an AP, Sum of n Terms of an AP.

Distance Formula, Section Formula (Internal Division), Midpoint Formula, Area of a Triangle Using Coordinates.

Similar Triangles, Basic Proportionality Theorem, AAA/SSS/SAS Similarity, Pythagoras Theorem and Converse; Tangent to a Circle (Theorems), Angle in a Semicircle; Constructions — Division of a Line Segment, Tangent from External Point.

Trigonometric Ratios (sin, cos, tan, cot, sec, cosec), Standard Angle Values, Trigonometric Identities, Complementary Angles; Height and Distance Problems using Angles of Elevation and Depression.

Area of Sector and Segment of a Circle; Surface Areas and Volumes of Combinations of Solids (Cone + Cylinder, Hemisphere + Cylinder, etc.), Conversion of Solid from One Shape to Another.

Mean, Median, Mode for Grouped Data, Cumulative Frequency Curve (Ogive); Classical Definition of Probability, Complementary Events, Simple Problems on Single Events.

Laws of Reflection, Spherical Mirrors, Mirror Formula, Magnification; Snell’s Law, Lens Formula, Power of Lens, Refraction through a Glass Slab, Total Internal Reflection.

Defects of Vision and Correction, Atmospheric Refraction, Dispersion; Ohm’s Law, Resistance, Resistors in Series and Parallel, Heating Effect of Current, Fuse; Magnetic Field, Oersted’s Experiment, Electromagnetic Induction, Fleming’s Left-Hand Rule, AC and DC; Fossil Fuels, Solar, Wind, Hydro, Tidal, Geothermal, Nuclear Energy.

Types of Reactions (Combination, Decomposition, Displacement, Double Displacement, Redox), Balancing Equations; pH Scale, Indicators, Salts and their Uses; Reactivity Series, Extraction of Metals, Corrosion; Covalent Bonds, Homologous Series, Functional Groups, Ethanol, Ethanoic Acid, Soaps and Detergents; Mendeleev’s Table, Modern Periodic Law, Trends in Properties.

Nutrition (Autotrophic and Heterotrophic), Respiration (Aerobic and Anaerobic), Transportation (Blood, Lymph, Xylem, Phloem), Excretion (Kidneys, Dialysis); Nervous System, Reflex Arc, Hormones, Tropic Movements; Asexual Reproduction (Budding, Spore Formation, Vegetative Propagation), Sexual Reproduction in Plants and Animals; Mendel’s Experiments, Inheritance, Sex Determination, Evolution, Speciation.

Ecosystem Components, Food Chains, Food Webs, Trophic Levels, Energy Flow, Biodegradable and Non-biodegradable Wastes, Ozone Layer Depletion; Forest and Wildlife Conservation, Water Resources, Coal and Petroleum Conservation, 3Rs (Reduce, Reuse, Recycle).

French Revolution, German and Italian Unification, Balkan Nationalism; Non-Cooperation Movement, Civil Disobedience Movement, Quit India, Salt March; Silk Routes, Trade and Cultural Exchange, Great Depression; Industrial Revolution in Britain, Spread to Europe; Gutenberg Press, Vernacular Literature, Readership Growth.

Types and Distribution of Resources, Land Use Change; Forest Types, Conservation, Chipko Movement; Multipurpose River Projects, Rainwater Harvesting; Cropping Seasons (Rabi, Kharif, Zaid), Farming Types, Food Security; Types of Minerals, Distribution in India; Iron and Steel, Textile, Chemical, Automobile Industries; Transport Networks (Road, Rail, Air, Water), Trade, International Airports.

Belgium and Sri Lanka Case Studies, Forms of Power Sharing; Federal vs Unitary Government, Decentralization in India; Social Divisions and Democracy; Women’s Representation, Communalism, Casteism; Bolivia Water War, Nepal Democracy Movement; National, Regional, Local Parties; Democracy and Development.

National Income, GDP, HDI, Development Goals; Primary, Secondary, Tertiary Sectors, Organized vs Unorganized Sector; Formal and Informal Credit, Self-Help Groups, Banks; MNCs, WTO, Effects of Globalisation on India; Consumer Protection Act, COPRA, Consumer Rights and Responsibilities.