LPUNEST Syllabus 2027: Physics, Chemistry, Maths/Biology Topics, Weightage and PDF Download

Nature of physical laws, SI units, dimensional analysis, significant figures, error analysis, precision and accuracy.

Scalars and vectors, motion in a straight line, velocity-time graphs, equations of motion, projectile motion, uniform circular motion, relative motion.

Newton’s three laws, concept of force, static and kinetic friction, Atwood machine, banking of roads, momentum, impulse.

Work-energy theorem, kinetic and potential energy, conservation of energy, power, elastic and inelastic collisions, spring potential energy.

Centre of mass, torque, angular momentum, moment of inertia, theorems of parallel and perpendicular axes, rolling motion without slipping.

Universal law of gravitation, acceleration due to gravity, variation of g with altitude and depth, Kepler’s laws, orbital velocity, escape velocity, geostationary satellites.

Elastic behaviour, stress-strain relationship, Hooke’s law, Young’s modulus, viscosity, Stokes’ law, Bernoulli’s theorem, surface tension, capillarity, angle of contact.

Thermal equilibrium, zeroth law, first and second law of thermodynamics, isothermal and adiabatic processes, Carnot cycle, heat engine efficiency, refrigerator COP.

Ideal gas equation, degrees of freedom, mean free path, rms speed, law of equipartition of energy, specific heat capacities of gases.

Simple harmonic motion, energy in SHM, damped and forced oscillations, wave motion, transverse and longitudinal waves, Doppler effect, standing waves, beats.

Coulomb’s law, electric field and potential, Gauss’s law, capacitance, dielectrics, energy stored in a capacitor, Van de Graaff generator, electric dipole.

Ohm’s law, resistivity and conductivity, Kirchhoff’s laws, Wheatstone bridge, potentiometer, meter bridge, cells in series and parallel, internal resistance.

Biot-Savart law, Ampere’s law, force on a current-carrying conductor, moving coil galvanometer, bar magnet, Earth’s magnetic field, dia-, para- and ferromagnetic materials.

Faraday’s law, Lenz’s law, self and mutual inductance, AC generator, transformers, LC oscillations, power factor, resonance in AC circuits.

Displacement current, electromagnetic spectrum (radio, microwave, infrared, visible, UV, X-rays, gamma rays), properties and uses of each band.

Reflection and refraction, mirror and lens formulas, total internal reflection, dispersion and prism, microscope and telescope, wave optics (Huygens’ principle, interference, diffraction, polarisation).

Photoelectric effect, Einstein’s photoelectric equation, de Broglie wavelength, Heisenberg uncertainty principle, electron diffraction.

Rutherford and Bohr models, hydrogen spectrum, nuclear structure, mass defect, binding energy per nucleon, radioactivity (alpha, beta, gamma decay), nuclear fission and fusion.

Semiconductors, p-n junction diode, half-wave and full-wave rectifiers, Zener diode, transistors (CE configuration), logic gates (AND, OR, NOT, NAND, NOR).

Elements of a communication system, bandwidth of signals, modulation (AM and FM), propagation of electromagnetic waves, satellite communication basics.

Mole concept, molarity, molality, stoichiometry, empirical and molecular formula, percentage composition, limiting reagent.

Bohr model, quantum numbers, shapes of orbitals (s, p, d), Aufbau principle, Hund’s rule, Pauli exclusion principle, electronic configuration.

Gas laws (Boyle’s, Charles’s, Gay-Lussac’s, Avogadro’s), ideal gas equation, kinetic molecular theory, real gas behaviour, van der Waals equation.

Enthalpy, Hess’s law, entropy, Gibbs free energy, spontaneity, bond enthalpy, standard enthalpy of formation, combustion and neutralisation.

Le Chatelier’s principle, Kp and Kc, ionic equilibrium, pH, buffer solutions, solubility product, degree of ionisation, acid-base theories.

Raoult’s law, colligative properties (depression of freezing point, elevation of boiling point, osmotic pressure), van’t Hoff factor, abnormal molar masses.

Electrochemical cells, EMF, Nernst equation, Faraday’s laws of electrolysis, conductance, Kohlrausch’s law, corrosion and its prevention.

Rate of reaction, order and molecularity, Arrhenius equation, activation energy, half-life, integrated rate equations for zero, first and second order reactions.

Adsorption (physisorption and chemisorption), catalysis, colloids, emulsions, Tyndall effect, Brownian motion, coagulation, micelles.

Modern periodic table, periodic trends in atomic radius, ionisation energy, electron affinity, electronegativity, and oxidation states.

Ionic and covalent bonds, VSEPR theory, hybridisation (sp, sp2, sp3), molecular orbital theory (MOT), resonance, hydrogen bonding, dipole moment.

Group 1 and 2 elements, alkali and alkaline earth metals, anomalous properties of Li and Be, industrial uses, biological importance of Na, K, Ca, Mg.

Group 13 (Boron family), Group 14 (Carbon family — allotropes of carbon), Group 15 (Nitrogen family — oxoacids), Group 16 (Oxygen family), Group 17 (Halogens), Group 18 (Noble gases); industrial processes (Haber, Contact, Solvay).

Transition metals, variable oxidation states, magnetic properties, colour of complexes, lanthanides and actinides, lanthanide contraction.

Werner’s theory, IUPAC nomenclature, types of ligands, chelates, structural and stereo isomerism, Valence Bond Theory (VBT), Crystal Field Theory (CFT), stability constants.

IUPAC nomenclature, isomerism, inductive and resonance effects, hyperconjugation, reaction intermediates (carbocations, carbanions, free radicals), SN1, SN2, E1, E2 reactions.

Alkanes, alkenes, alkynes, benzene, aromatic hydrocarbons, Markovnikov’s rule, addition and substitution reactions, combustion, cracking.

Nucleophilic substitution reactions, elimination reactions, optical isomerism, Grignard reagent, polyhalogen compounds (DDT, chloroform).

Classification and nomenclature, Lucas test, Victor Meyer test, acidity of phenols, Williamson synthesis, industrial applications.

Nucleophilic addition reactions, Cannizzaro reaction, Aldol condensation, acidity of carboxylic acids, esterification, acid chlorides, anhydrides, amides.

Amines (classification, basicity, Hinsberg test), diazonium salts, coupling reactions, cyanides, isocyanides.

Carbohydrates, proteins, enzymes, nucleic acids (DNA, RNA); addition and condensation polymers, natural and synthetic rubber, Nylon, Bakelite; drugs, soaps, detergents, food preservatives.

Types of sets, Venn diagrams, domain and range, types of functions (bijective, surjective), composition and inverse of functions, binary operations.

Trigonometric functions and identities, compound and multiple angle formulas, general solutions of trigonometric equations, inverse trigonometric functions, principal value branch.

Complex numbers (polar form, Argand plane, De Moivre’s theorem), quadratic equations, permutations and combinations (nPr, nCr), binomial theorem, arithmetic and geometric progressions, matrices (operations, inverse, transpose), determinants (cofactors, Cramer’s rule, adjoint).

Straight lines (slope, intercept, distance forms), circles (standard and general equations), parabola, ellipse, hyperbola (standard forms, tangent, normal, chord of contact).

Limits and continuity, differentiability, derivatives of standard functions, chain rule, implicit differentiation, applications of derivatives (maxima-minima, tangent-normal), indefinite and definite integration (substitution, parts, partial fractions), applications of integrals (area under curves), differential equations (variable separable, homogeneous, linear first order).

Vector addition and subtraction, dot product, cross product, scalar triple product, unit vectors, direction cosines and ratios, equations of lines and planes in 3D, angle between lines and planes, shortest distance between skew lines.

Mean, median, mode, variance, standard deviation; conditional probability, Bayes’ theorem, independent events, random variables, Bernoulli trials, binomial distribution.

Feasible region, corner point method, graphical method for linear programming problems, maximisation and minimisation problems.

Unseen passages (factual and literary), main idea, inference questions, tone and attitude, vocabulary in context, title selection, author’s purpose.

Tenses (all 12 forms), active and passive voice transformation, direct and indirect speech, articles (a, an, the), prepositions, conjunctions, subject-verb agreement, modals.

Synonyms and antonyms, one-word substitutions, idioms and phrases, foreign words used in English, word roots and affixes.

Rearranging jumbled sentences into a coherent paragraph, identifying the odd sentence, selecting the best opening or concluding sentence.

Identifying grammatical errors in underlined parts, choosing the correctly rewritten version, correcting faulty phrase usage.

Cloze test passages, single-blank and double-blank fill-ins, choosing the contextually appropriate word or phrase from the given options.