BITSAT Syllabus 2027: 50 Chapters Across 5 Subjects, Subject-Wise Topics and PDF Download

Physical quantities and SI units, dimensional analysis and applications, significant figures, errors in measurement (absolute, relative, percentage), order of magnitude estimation, vernier caliper and screw gauge.

Motion in a straight line (displacement, velocity, acceleration, equations of motion), motion in a plane, projectile motion, uniform circular motion, relative velocity, frame of reference.

Inertia and mass, Newton’s first, second and third laws, impulse and momentum, friction (static, kinetic, rolling), connected systems, pulley problems, pseudo-force in non-inertial frames, circular motion dynamics.

Work-energy theorem, kinetic and potential energy, conservative and non-conservative forces, conservation of mechanical energy, power, elastic and inelastic collisions in 1D and 2D, coefficient of restitution.

Centre of mass and its motion, torque, moment of inertia, parallel and perpendicular axis theorems, angular momentum, conservation of angular momentum, angular impulse, rolling motion on an inclined plane.

Newton’s law of gravitation, gravitational field and potential, Kepler’s three laws, escape velocity, orbital velocity, geostationary and polar satellites, variation of g with height and depth.

Elasticity: stress, strain, Hooke’s law, Young’s modulus, bulk modulus, shear modulus. Fluid statics: pressure, Pascal’s law, Archimedes’ principle. Fluid dynamics: equation of continuity, Bernoulli’s theorem, viscosity (coefficient of viscosity, Stokes’ law, terminal velocity, Reynolds number), surface tension, capillarity.

Simple harmonic motion (displacement, velocity, acceleration, phase), energy in SHM, spring-mass systems (series and parallel), simple pendulum, damped oscillations, forced oscillations, resonance condition.

Wave equation and characteristics, speed of sound in different media, superposition of waves, interference, beats, standing waves (strings and pipes), Doppler effect in sound.

Kinetic theory of gases (pressure, mean free path, degrees of freedom, equipartition), thermal expansion, specific heat capacity, calorimetry, first and second laws of thermodynamics, Carnot engine and efficiency, heat transfer (conduction, convection, radiation), Newton’s law of cooling, Stefan–Boltzmann law, Wien’s displacement law.

Coulomb’s law, electric field lines, electric dipole, Gauss’s law and applications, electric potential and potential energy, conductors and insulators, capacitance, capacitors in series and parallel, energy stored in capacitor, dielectrics.

Ohm’s law, drift velocity, resistivity and colour code, Kirchhoff’s laws, Wheatstone bridge, potentiometer, cells in series and parallel (EMF and internal resistance), RC circuits (charging and discharging), electric power and heating effect.

Biot–Savart law, Ampere’s law, magnetic field due to straight wire / circular loop / solenoid / toroid, force on a current-carrying conductor, cyclotron, moving coil galvanometer, magnetism (diamagnetic, paramagnetic, ferromagnetic materials), Curie temperature, hysteresis.

Faraday’s laws, Lenz’s law, motional EMF, self-inductance, mutual inductance, AC circuits (RMS and peak values), impedance, LCR series circuit, resonance, power factor, quality factor, transformers.

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

Reflection (mirrors), refraction (Snell’s law, total internal reflection), prisms, thin lens formula, lens maker’s equation, optical instruments (microscope, telescope, eye). Wave optics: Huygens’ principle, Young’s double slit experiment, diffraction (single slit), polarisation (Malus’s law, Brewster’s law).

Photoelectric effect (Einstein’s equation, work function, threshold frequency), de Broglie hypothesis, Bohr model of hydrogen atom (energy levels, spectral series), X-ray production, nuclear structure, radioactivity (alpha / beta / gamma decay, decay law, half-life), binding energy, mass defect, nuclear fission and fusion.

Semiconductors (intrinsic and extrinsic), energy bands, p-n junction diode (I-V characteristics, biasing), rectifiers (half-wave, full-wave), Zener diode and voltage regulation, transistors (PNP and NPN, CE / CB / CC configurations, transistor as amplifier and switch), logic gates (AND, OR, NOT, NAND, NOR, XOR), Boolean algebra (De Morgan’s theorems).

Gaseous state: ideal gas equation, van der Waals equation, kinetic theory, mean free path, Graham’s law. Liquid state: vapour pressure, boiling point, surface tension. Solid state: crystal structures, unit cell, types of solids (ionic, covalent, metallic, molecular), point defects.

Bohr model (energy levels, spectral lines), quantum mechanical model, quantum numbers (n, l, m, s), shapes of orbitals, electronic configuration using Aufbau principle, Hund’s rule, and Pauli exclusion principle, periodic trends.

Lewis structures, formal charge, VSEPR theory, hybridisation (sp, sp², sp³, sp³d, sp³d²), molecular orbital theory (bonding/antibonding, bond order), resonance, dipole moment, hydrogen bonding (intramolecular and intermolecular).

System and surroundings, state functions, enthalpy and Hess’s law, bond enthalpy, lattice enthalpy, entropy, Gibbs free energy (ΔG = ΔH – TΔS), spontaneity criteria, Born–Haber cycle.

Law of mass action, Kc and Kp, relation between Kp and Kc, Le Chatelier’s principle, ionic equilibrium, acids and bases (Arrhenius, Brønsted–Lowry, Lewis), pH and pOH, buffer solutions (Henderson–Hasselbalch), solubility product, common ion effect.

Galvanic and electrolytic cells, standard electrode potentials, Nernst equation, EMF of a cell, Faraday’s laws of electrolysis, Kohlrausch’s law (limiting molar conductivity), corrosion (electrochemical theory).

Rate of a reaction, rate law, order and molecularity, integrated rate equations (zero, first, second order), half-life, Arrhenius equation and activation energy, collision theory, catalysis (homogeneous, heterogeneous, enzyme).

Position of hydrogen, isotopes, properties of water (hard and soft water). Alkali metals (Group 1): trends, important compounds (NaOH, Na₂CO₃, NaHCO₃, NaCl). Alkaline earth metals (Group 2): trends, important compounds of Mg and Ca.

p-Block (Groups 13–18): general trends, important compounds of B, C, N, O, S, Cl, noble gases. d-Block (transition metals): variable oxidation states, coloured compounds, catalytic activity, complex formation. f-Block: lanthanides and actinides. Coordination compounds: Werner’s theory, IUPAC nomenclature, coordination number, isomerism, VBT and CFT basics.

IUPAC nomenclature, structural isomerism, electronic effects (inductive, mesomeric, hyperconjugation), reaction mechanisms (SN1, SN2, E1, E2). Alkanes: combustion, halogenation. Alkenes: addition reactions (Markovnikov’s rule, anti-Markovnikov). Alkynes: acidic character, addition reactions. Arenes: benzene structure, EAS reactions (nitration, sulfonation, Friedel-Crafts), directing effects.

Chirality and stereocentres, enantiomers, diastereomers, R/S (CIP) configuration, optical activity (specific rotation, racemic mixture, meso compounds), E/Z (cis-trans) isomerism, conformational analysis (Newman projections). This unit is exclusive to BITSAT — not tested in JEE Main. Budget at least 5 days of preparation for this chapter.

Alcohols and phenols: preparation, properties, reactions. Ethers: preparation and uses. Aldehydes and ketones: nucleophilic addition, aldol condensation, Cannizzaro reaction, Tollen’s and Fehling’s tests. Carboxylic acids and derivatives: esterification, saponification, Hell–Volhard–Zelinsky. Amines: basic character, Hoffmann bromamide, diazotisation. Diazonium salts: coupling reactions.

Biomolecules: carbohydrates (monosaccharides, disaccharides, polysaccharides), proteins (amino acids, peptide bond, primary–quaternary structure), enzymes, vitamins (fat-soluble and water-soluble), nucleic acids (DNA double helix, RNA types). Polymers: addition and condensation polymers, natural and synthetic rubber, fibres. Environmental chemistry: air, water, and soil pollution; green chemistry.

Volumetric analysis: acid-base and redox titrations, indicators, molarity and normality calculations. Qualitative analysis: identification of common cations and anions. Purification methods: filtration, distillation (simple and fractional), crystallisation, sublimation, chromatography (TLC, column). This unit is unique to BITSAT — prepare using NCERT Lab Manual for Class 11 and 12.

Complex numbers: modulus, argument, polar form, De Moivre’s theorem, nth roots of unity. Theory of equations: quadratic, cubic equations, relations between roots and coefficients. Sequences and series: AP, GP, HP. Permutations and combinations. Binomial theorem. Matrices and determinants (up to 3×3): operations, adjoint, inverse, Cramer’s rule. Sets, relations, and types of functions.

Trigonometric ratios and identities, compound and multiple angle formulae, sum-to-product and product-to-sum identities, inverse trigonometric functions (domain, range, principal value), properties of triangles (sine rule, cosine rule, half-angle formulae, area), trigonometric equations, heights and distances.

Cartesian system, distance and section formulae, straight lines (slope, equations, angles between lines, distance from a point), pair of straight lines. Circles: standard and general form, tangency condition, chord of contact, radical axis. Conic sections: parabola, ellipse, hyperbola — standard equations, tangents, normals, chord of contact, parametric forms.

Direction cosines and direction ratios, equation of a line in 3D (symmetric and vector form), equation of a plane (intercept, normal, general form), angle between lines / planes / line and plane, distance from a point to a plane, coplanarity of lines.

Limits (standard forms, L’Hôpital’s rule), continuity (types of discontinuity), differentiability. Derivatives of algebraic, trigonometric, logarithmic, exponential, implicit, and parametric functions. Higher-order derivatives. Applications: tangents and normals, increasing and decreasing functions, maxima and minima (first and second derivative tests), Rolle’s theorem and mean value theorem.

Indefinite integration: standard results, substitution, integration by parts, partial fractions, special integrands. Definite integrals: fundamental theorem, properties (king’s property, even/odd), Leibniz rule. Applications: area under a curve, area between two curves.

Order and degree, formation of a differential equation, variable separable method, homogeneous differential equations, linear first-order differential equations (integrating factor method).

Classical probability, addition and multiplication theorems, conditional probability, Bayes’ theorem, random variables (discrete), probability distribution, expected value and variance, binomial distribution.

Types of vectors, vector addition and subtraction, scalar multiplication, position vectors, section formula in 3D. Dot product: formula, angle between vectors, projections. Cross product: formula, area of triangle / parallelogram. Scalar triple product: coplanarity, volume of parallelepiped.

Measures of central tendency: mean (AM, GM, HM), median, mode for grouped and ungrouped data. Measures of dispersion: range, mean deviation, variance, standard deviation. Correlation coefficient (Karl Pearson’s). Lines of regression (basic). Statistics questions in BITSAT tend to be direct and formula-based — they are fast marks if you know the formulae.

Formulation of LPP (objective function and constraints), graphical solution method, feasible region, corner point theorem, maximisation and minimisation problems, unbounded and infeasible solutions.

Application of calculus, algebra, and probability to real-world problems. Growth and decay models, population models, mixture problems. Mathematical Modelling is unique to BITSAT. Questions here often combine two syllabus units — study from NCERT Class 12 exemplar and past BITSAT papers.

Tenses (all forms and correct usage), subject-verb agreement, articles (a, an, the), prepositions, modals and auxiliaries, active and passive voice conversion, direct and indirect speech, sentence transformation, error spotting in sentences.

Synonyms and antonyms, word analogies (A is to B as C is to D), fill in the blanks with appropriate words, idioms and phrases, one-word substitution, word meaning in context, commonly confused words.

Main idea identification, inference questions, tone and attitude of the author, vocabulary in context, choosing the best title, fact vs opinion, theme of the passage. Passages are typically 100–250 words.

Jumbled sentences (sentence sequencing), paragraph completion (choosing the most logical concluding or introductory sentence), coherence and cohesion (identifying the sentence that does not fit in a paragraph).

Analogy (word-pair relationships), classification (odd-one-out in groups), number and letter series completion, logical deduction (syllogisms — All/Some/No type), blood relations, direction sense and distance, coding-decoding, seating arrangement, ranking and ordering, calendar and clock problems.

Figure analogy (identifying the analogous pair), figure classification (odd figure out), figure series completion, matrix of figures (completing a 3×3 matrix), mirror image and water image, embedded figures, paper folding and cutting, pattern completion.