RBSE Syllabus 2027: Subject-Wise Topics, Topic-Wise Weightage and PDF Download

Electric Charges and Fields: Coulomb’s law, electric field lines, Gauss’s law, electric dipole.
Electrostatic Potential and Capacitance: potential due to point charge and dipole, capacitors, dielectrics, energy stored in a capacitor.

Ohm’s law, drift velocity, resistivity, combination of resistors, EMF, Kirchhoff’s laws, Wheatstone bridge, potentiometer.

Moving Charges and Magnetism: Biot-Savart law, Ampere’s circuital law, force on a moving charge, cyclotron.
Magnetism and Matter: bar magnet, paramagnetic/diamagnetic/ferromagnetic materials, Earth’s magnetism.

Electromagnetic Induction: Faraday’s law, Lenz’s law, self and mutual inductance, eddy currents.
Alternating Current: AC generator, LCR circuit, resonance, power factor, transformers.

Displacement current, Maxwell’s equations (qualitative), electromagnetic spectrum (radio, microwave, infrared, visible, UV, X-ray, gamma), properties and uses of each type.

Ray Optics: reflection, refraction, total internal reflection, refraction at spherical surfaces, lenses, prism, optical instruments (microscope, telescope).
Wave Optics: Huygens’ principle, interference (Young’s double slit), diffraction, polarisation (Brewster’s law, Malus’s law).

Photoelectric effect, Einstein’s photoelectric equation, de Broglie hypothesis, Davisson-Germer experiment, wave-particle duality.

Atoms: Rutherford model, Bohr model, hydrogen spectrum, energy levels.
Nuclei: nuclear radius, mass defect, binding energy, radioactivity (alpha, beta, gamma), half-life, nuclear fission and fusion.

Semiconductor basics (p-type and n-type), p-n junction diode (forward and reverse bias), Zener diode, LED, photodiode, solar cell, transistors (as switch and amplifier), logic gates (AND, OR, NOT, NAND, NOR).

Amorphous and crystalline solids, unit cell, crystal systems, packing efficiency, defects (Schottky, Frenkel), electrical and magnetic properties of solids.

Types of solutions, solubility, Raoult’s law, ideal and non-ideal solutions, colligative properties (vapour pressure lowering, boiling point elevation, freezing point depression, osmotic pressure), Van’t Hoff factor.

Electrochemical cells, electrode potential, Nernst equation, Gibbs energy and cell EMF, conductance, Kohlrausch’s law, electrolysis, Faraday’s laws, corrosion and its prevention.

Rate of reaction, rate law, order and molecularity, integrated rate equations (zero, first order), half-life, Arrhenius equation, activation energy, collision theory of reaction rates.

Adsorption (physisorption vs chemisorption), Freundlich and Langmuir isotherms, catalysis (homogeneous, heterogeneous, enzyme), colloids, Tyndall effect, Brownian motion, electrophoresis, coagulation, emulsions.

Concentration methods (gravity separation, froth flotation, leaching), reduction (pyrometallurgy, electrometallurgy), refining methods (zone refining, electrolytic refining, vapour phase), extraction of Al, Cu, Zn, Fe.

Group 15: nitrogen, phosphorus, their oxides and oxoacids, allotropes. Group 16: oxygen, sulphur, their compounds (SO2, SO3, H2SO4). Group 17: halogens, interhalogen compounds, oxoacids. Group 18: noble gases and their uses.

Transition metals: general properties, variable oxidation states, colour, catalytic activity, magnetic properties, interstitial compounds. Lanthanoids and actinoids: electronic configuration, oxidation states, lanthanoid contraction.

Werner’s theory, IUPAC nomenclature, isomerism (structural: ionisation, linkage, hydrate; stereo: geometric, optical), valence bond theory, crystal field theory, stability constants, biological importance (haemoglobin, chlorophyll).

Classification, IUPAC nomenclature, nature of C–X bond, SN1 and SN2 reactions, stereochemistry (retention, inversion), reactions of haloarenes, DDT, freons and environmental impact.

Nomenclature, preparation from alkenes and carbonyl compounds, physical and chemical properties; acidic character of phenols; electrophilic substitution in phenol ring; preparation and reactions of ethers.

Nucleophilic addition reactions, Cannizzaro reaction, aldol condensation, Clemmensen and Wolf-Kishner reduction, preparation and properties of carboxylic acids and their derivatives (acyl halides, anhydrides, amides, esters).

Classification, IUPAC nomenclature, preparation from nitro compounds and nitriles, basic character comparison, reactions (acylation, carbylamine, diazotisation, coupling reaction), dyes.

Carbohydrates: monosaccharides, disaccharides (sucrose, maltose, lactose), polysaccharides (starch, cellulose). Proteins: amino acids, peptide bond, primary to quaternary structure, enzymes. Vitamins, nucleic acids (DNA and RNA structure and function).

Addition and condensation polymerisation, natural rubber and vulcanisation, synthetic fibres (nylon-6,6; terylene), plastics (PVC, bakelite, HDPE), biodegradable and non-biodegradable polymers.

Drugs and medicines (analgesics, antiseptics, antibiotics, antacids, antihistamines), chemicals in food (preservatives, artificial sweeteners, antioxidants), soaps and detergents (cleansing action).

Types of relations (reflexive, symmetric, transitive, equivalence), types of functions (one-one, onto, bijective), composition of functions, invertible functions, binary operations.
Inverse trig functions: domain and range, principal value branch, graphs, elementary identities and properties.

Matrices: order, types, operations (addition, multiplication, transpose), symmetric and skew-symmetric matrices, elementary row/column operations, invertible matrices.
Determinants: properties, cofactors, adjoint, matrix inverse using adjoint, Cramer’s rule, solving systems of linear equations.

Ch 5 Continuity and Differentiability: chain rule, implicit and parametric differentiation, second-order derivatives, Rolle’s and Lagrange’s mean value theorems.
Ch 6 Application of Derivatives: rate of change, tangent and normal, increasing/decreasing functions, maxima and minima (first and second derivative tests).
Ch 7 Integrals: anti-derivatives, methods (substitution, partial fractions, integration by parts), definite integrals, fundamental theorem of calculus.
Ch 8 Application of Integrals: area between two curves.
Ch 9 Differential Equations: order and degree, solution methods (variable separable, homogeneous, linear first-order).

Vectors: types, position vector, dot product, cross product, scalar and vector triple products, coplanarity of vectors.
3D Geometry: direction cosines and ratios, equations of a line and a plane (various forms), angle between lines/planes, shortest distance between skew lines, distance of a point from a plane.

LPP formulation, graphical method, feasible region, corner-point method, types of LPP (diet, allocation, manufacturing, transportation).

Conditional probability, multiplication theorem, independent events, total probability theorem, Bayes’ theorem, random variables, probability distributions, mean and variance of random variables, Bernoulli trials, binomial distribution.

Flower structure, pollination types, double fertilisation, endosperm development, embryo and fruit development, seed dispersal.
Male and female reproductive systems, spermatogenesis, oogenesis, menstrual cycle, fertilisation, embryogenesis.
Reproductive health, population stabilisation, contraception methods, STDs, assisted reproductive technologies (ART).

Mendel’s laws, incomplete dominance, codominance, multiple alleles, linkage, crossing over, sex determination, chromosomal disorders (Down’s, Turner’s, Klinefelter’s).
DNA structure (Watson-Crick model), replication, transcription, genetic code, translation, gene regulation (lac operon), Human Genome Project, DNA fingerprinting.
Origin of life, Darwin’s theory, Hardy-Weinberg principle, speciation, evidence of evolution.

Diseases: pathogens (bacterial, viral, fungal, protozoan, helminthic), immunity (innate and acquired), vaccination, AIDS, cancer, drugs and alcohol abuse.
Animal breeding, plant breeding (hybridisation, mutation breeding, polyploidy), biofortification, tissue culture, single cell protein.
Household, industrial, sewage treatment, biogas production, microbes as biofertilisers and biopesticides.

Recombinant DNA technology: restriction enzymes, PCR, gel electrophoresis, cloning vectors (plasmids, bacteriophage).
GMOs (Bt cotton, golden rice), RNAi, gene therapy, insulin production, molecular diagnostics (ELISA, Southern blotting), biosafety and ethical issues.

Ecological adaptations, population attributes, population interactions (mutualism, competition, predation, parasitism, commensalism).
Energy flow (food chains, food webs, ecological pyramids), nutrient cycling, succession.
Biodiversity patterns, IUCN categories, in situ (biosphere reserves, national parks) and ex situ conservation (zoos, seed banks).
Air/water/soil pollution, greenhouse effect, ozone depletion, biomagnification, solid waste management.