BEEE Exam 2027: Date, Application Form, Syllabus, Pattern, Eligibility, Cutoff, Admission Process

Physics: Unit 01

• Units for measurement, system of units-SI, fundamental and derived units, measurements-errors in measurement significant figures, dimensions-dimensional analysis, applications

Physics: Unit 02

• Motion in one dimension-uniform and non-uniform motion, uniformly accelerated motion, scalar and vector quantities, Newton’s laws of motion-force and inertia impulse, and momentum, law of conservation of linear momentum, applications
• Motions in two dimension projectile motion, uniform circular motion, friction-laws of friction, applications, centripetal force, centre of mass torque, angular momentum and its conservation, moment of inertia-theorems of moment of inertia, work, energy
• Potential energy and kinetic energy, power, collision elastic and inelastic collisions

Physics: Unit 03

• The universal law of gravitation, acceleration due to gravity-variation of 'G' with altitude, latitude, and depth gravitation potential, escape velocity, and orbital velocity geostationary satellites, Kepler’s laws of planetary motion
• Solids-elastic behaviour, stress-strain, Hooke’s law, modulli of elasticity, relation between them, surface tension, capillarity-applications, viscosity-Poiseuille’s formula, Stokes law-applications, streamline, and turbulent flow, Reynolds number
• Bernoulli’s theorem, applications

Physics: Unit 04

• Periodic motion, simple harmonic motion, equations of motion, oscillations of spring, simple pendulum, free, forced, and damped oscillations, resonance, applications, wave motions
• Longitudinal and transverse waves velocity of wave motion in different media, Newton’s formula, Laplace’s correction, super position of waves, progressive and standing waves, sonometer, air columns, Doppler effect, and its applications

Physics: Unit 05

• Kinetic theory of gases, postulates, pressure of a gas specific heat capacity, relation between Cp and Cv, first law of thermodynamics, thermodynamical process, esisothermal adiabatic, reversible and irreversible process, second law of thermodynamics
• Carnot’s engine, heat transfer, conduction, convection, radiation, thermal conductivity of solids, black body radiations, Kirchhoff’s law, Wien’s displacement law, Stefan’s law, Newton’s law of cooling

Physics: Unit 06

• Wave front, Huygens principle, wave nature of light, interference, Young’s double slit experiment, diffraction, and polarization, reflection and refraction of light, total internal reflection, velocity of light determination
• Deviation and dispersion of light by a prism, lens

Physics: Unit 07

• Magnetism: Earth’s magnetic field and magnetic elements, magnetic field due to a magnetic dipole, torque on a magnetic dipole, magnetic properties of a material, dia, para, and ferro magnetic materials, application
• Biot-savart law, force on a moving charge in an uniform magnetic field
• Electrostatic, Coulomb’s inverse square law, dielectric constant, electric field, electric lines of force, electric dipole, electric potential, potential difference, electric flux, gauss theorem, electrostatic inclusion
• Capacitor capritor in parallel and series, drift
• Velocity of electrons, Ohm’s law, electrical resistivity and conductivity, super conductivity, Kirchhoff’s law, Wheatstone’s bridge, principle potentiometer, electric power, Faraday’s law, Lenz law at electromagnetic inclusion
• Self inductances mutual inductance, Fleming's right hand rule, methods of inducing EMT, eddy current, transformer

Physics: Unit 08

• Relativity, Einstein's mars energy relation, variation of mass with velocity
• Atomic structure, properties of cathode rays and positive rays, specific charge of an electron, atom model, Thomson atom model, Rutherford atom model, Bohr atom model-merits and demerits, quantum numbers, X-rays, production, properties, Bragg’s law
• Bragg’s X-ray spectrometer, photoelectric effect, laser-spontaneous and stimulated emission, laser action, characteristics of laser light, ruby laser, applications of laser

Physics: Unit 09

• Nuclear properties: Radius, mass, binding energy, density, isotopes, mass defect-Bainbridge mass, spectrometer, nuclear forces
• Newton discovery, matter coaves-wave nature of particles, De Broglie wavelength, electron microscope, radioactivity, α, β, and γ decay, half life and mean life, artificial radio activity, radio isotopes, radio corbon dating, radiation harards
• Nuclear fission, nuclear reactor, nuclear fusion, hydrogen bomb, cosmic rays, elementary particles

Physics: Unit 10

• Communication: Space communication, propagation of electromagnetic waves in atmosphere, sky and space wave propagation
• Electronics: Semiconductor, doping, types, PN junction diode, biasing, amplifier, gain, feedback in amplifier’s, logic gates, NOT, OR, AND, NOR, NAND, universal gaies, De Morgan’s theorems

Chemistry: Unit 01

• Matter and its nature, Dalton’s atomic theory; concept of atom, molecule, element and compound; physical quantities and their measurements in chemistry, precision and accuracy, significant figures, SI Units, dimensional analysis
• Laws of chemical combination; atomic and molecular masses, mole concept, molar mass, percentage composition, empirical and molecular formulae; chemical equations and stoichiometry

Chemistry: Unit 02

• Classification of matter into solid, liquid, and gaseous states
• Solid state: Classification of solids-molecular, ionic, covalent, and metallic solids, amorphous, and crystalline solids (elementary idea); Bragg’s law and its applications; unit cell and lattices, packing in solids (fcc, bcc, and hcp lattices), voids
• Solid State: Calculations involving unit cell parameters, imperfection in solids; electrical, magnetic, and dielectric properties
• Liquid state: Properties of liquids-vapour pressure, viscosity, and surface tension, and effect of temperature on them (qualitative treatment only)
• Gaseous state: Measurable properties of gases; gas laws-Boyle’s law, Charles’s law, Graham’s law of diffusion, Avogadro’s law, Dalton’s law of partial pressure; concept of absolute scale of temperature; ideal gas equation
• Gaseous state: kinetic theory of gases (only postulates); concept of average, root mean square, and most probable velocities; real gases, deviation from ideal behaviour, compressibility factor, Van Der Waals equation, liquefaction of gases
• Gaseous state: Critical constants

Chemistry: Unit 03

• Modern periodic law and present form of the periodic table, s and p block elements, periodic trends in properties of elements, atomic and ionic radii, ionization enthalpy, electron gain enthalpy, valence, oxidation states, and chemical reactivity
• Transition elements-d-block elements, inner transition elements-f-block elements
• Ionization energy, lanthanides, and actinides-general characteristics
• Coordination chemistry: Coordination compounds, nomenclature: terminology-Werner’s coordination theory. Applications of coordination compounds

Chemistry: Unit 04

• Discovery of sub-atomic particles (electron, proton, and neutron); Thomson and Rutherford atomic models, and their limitations; nature of electromagnetic radiation, photoelectric effect; spectrum of hydrogen atom
• Bohr model of hydrogen atom-its postulates, derivation of the relations for energy of the electron and radii of the different orbits, limitations of Bohr’s model; dual nature of matter, De-Broglie’s relationship
• Angular momentum and magnetic quantum numbers and their significance; shapes of s, p, and d-orbitals, electron spin and spin quantum number; rules for filling electrons in orbitals-Aufbau principle, Pauli’s exclusion principle, and Hund’s rule
• Electronic configuration of elements; extra stability of half-filled and completely filled orbitals

Chemistry: Unit 05

• Covalent bonding: Concept of electronegativity, Fajan’s rule, dipole moment; valence shell electron pair repulsion (VSEPR) theory and shapes of simple molecules
• Valence bond theory-its important features, concept of hybridization involving s, p, and d orbitals; resonance
• Types of molecular orbitals (bonding, antibonding), sigma and pi-bonds, molecular orbital electronic configurations of homonuclear diatomic molecules, concept of bond order, bond length, and bond energy
• Elementary idea of metallic bonding
• Hydrogen bonding and its applications
• Extractive metallurgy of sodium, lithium, properties of alkali metals, basic nature of oxides and hydroxides, compounds of alkaline earth metals, compounds of boron
• Oxides, carbides, halides, and sulphides of carbon group

Chemistry: Unit 06

• Different methods for expressing concentration of solution-molality, molarity, mole fraction, percentage (by volume and mass both), vapour pressure of solutions and Raoult’s law-ideal and non-ideal solutions, vapour pressure
• Composition plots for ideal and non-ideal solutions; colligative properties of dilute solutions relative lowering of vapour pressure, depression of freezing point, elevation of boiling point, and osmotic pressure
• Determination of molecular mass using colligative properties; abnormal value

Chemistry: Unit 07

• Meaning of equilibrium, concept of dynamic equilibrium
• Equilibrium involving physical processes: Solid-liquid, liquid-gas, and solid-gas equilibrium, Henry’s law, equilibrium involving chemical processes: Law of chemical equilibrium, equilibrium constants (Kp and Kc), and their significance
• Equilibrium involving chemical processes: Le Chatelier’s principle
• Ionic equilibrium: Weak and strong electrolytes, ionization of electrolytes, various concepts of acids and bases (Arrhenius, Brønsted-Lowry and Lewis) and their ionization, acid-base equilibria (including multistage ionization) and ionization constants
• Ionic equilibrium: Ionization of water, pH scale, common ion effect, hydrolysis of salts and pH of their solutions, solubility of sparingly soluble salts and solubility products, buffer solutions

Chemistry: Unit 08

• Electrolytic and metallic conduction, conductance in electrolytic solutions, specific and molar conductivities, and their variation with concentration: Kohlrausch’s law and its applications
• Electrochemical cells-electrolytic and galvanic cells, different types of electrodes, electrode potentials including standard electrode potential, half-cell and cell reactions, EMF of a galvanic cell and its measurement
• Nernst equation and its applications; dry cell and lead accumulator; fuel cells; corrosion and its prevention

Chemistry: Unit 09

• Adsorption-physisorption and chemisorption, and their characteristics, factors affecting adsorption of gases on solids-Freundlich and Langmuir adsorption isotherms, adsorption from solutions
• Catalysis
• Tyndall effect, Brownian movement, electrophoresis, dialysis, coagulation and occultation; emulsions and their characteristics
• Factors affecting rates of reactions-factors affecting rate of collisions encountered between the reactant molecules, effect of temperature on the reaction rate, concept of activation energy, catalyst
• Rate law expression
• Order of a reaction (with suitable examples)
• Units of rates and specific rate constants
• Nuclear chemistry: Radioactivity-isotopes and isobars, properties of α-, β-, and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating

Chemistry: Unit 10

• Tetravalency of carbon; shapes of simple molecules hybridization (s and p); classification of organic compounds based on functional groups: -C=C-, -C_C- and those containing halogens, oxygen, nitrogen, and sulphur; homologous series; isomerism
• Structural and stereoisomerism
• Nomenclature (trivial and IUPAC), covalent bond fission-homolytic and heterolytic: Free radicals, carbocations, and carbanions; stability of carbocations and free radicals, electrophiles and nucleophiles
• Electronic displacement in a covalent bond inductive effect, electromeric effect, resonance and hyperconjugation

Chemistry: Unit 11

• Classification, isomerism, IUPAC nomenclature, general methods of preparation, properties, and reactions
• Alkenes-geometrical isomerism; mechanism of electrophilic addition: Addition of hydrogen, halogens, water, hydrogen halides (Markovnikov's and peroxide effect); ozonolysis, oxidation, and polymerization
• Mechanism of electrophilic substitution: Halogenation, nitration, Friedel-Craft’s alkylation and acylation, directive influence of functional group in monosubstituted benzene

Chemistry: Unit 12

• General methods of preparation, properties, reactions, and uses
• Alcohols: Distinction of primary, secondary, and tertiary alcohols; mechanism of dehydration
• Reactions of hydroxyl derivatives
• Phenols: Acidic nature, electrophilic substitution reactions: Halogenation, nitration, and sulphonation, Reimer-Tiemann reaction
• Addition to >C=O group, relative reactivities of aldehydes and ketones
• Ethers: Structure
• Aldehyde and ketones: Nature of carbonyl group; nucleophilic addition reactions (addition of HCN, NH3, and its derivatives), Grignard reagent; oxidation; reduction (Wolff Kishner and Clemmensen); acidity of-hydrogen, aldol condensation
• Aldehyde and ketones: Cannizzaro reaction, haloform reaction; chemical tests to distinguish between aldehydes and ketones
• Carboxylic acids: Reactions, acidic strength, and factors affecting it; reactions of acid derivatives

Chemistry: Unit 13

• General methods of preparation, properties, reactions, and uses
• Amines: Nomenclature, classification, structure, basic character, and identification of primary, secondary, and tertiary amines and their basic character

Chemistry: Unit 14

• General introduction and classification of polymers, general methods of polymerization, addition and condensation, copolymerization; natural and synthetic rubber, and vulcanization; monomers and uses-polythene, nylon, polyester, and bakelite

Chemistry: Unit 15

• Chemicals in medicines-analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antacids
• Cleansing agents-soaps and detergents, cleansing action

Mathematics: Unit 01

Mathematics: Unit 02

Mathematics: Unit 03

Mathematics: Unit 04

Mathematics: Unit 05

Mathematics: Unit 06

Mathematics: Unit 07

Mathematics: Unit 08

Mathematics: Unit 09

Mathematics: Unit 10

Mathematics: Unit 11

Mathematics: Unit 12

Mathematics: Unit 13

Mathematics: Unit 14

Mathematics: Unit 15

Mathematics: Unit 16

Mathematics: Unit 17

Mathematics: Unit 18

Mathematics: Unit 19

Biology-Botany: Unit 01

• Types of classifications, artificial, natural, phylogenetic, biosystematics, binomial nomenclature, herbaria and their uses, Bentham and Hooker's classification of plants, families malvaceae, solanaceae, euphorbiaceae, musaceae and economic importance

Biology-Botany: Unit 02

• Tissues and tissue system, anatomy of monocot and dicot roots, anatomy of monocot and dicot stem, and anatomy of dicot leaf

Biology-Botany: Unit 03

• Chromosomes, structure and types, genes recombination of chromosomes mutation, chromosomal aberration, DNA as genetic material, structure of DNA, replication of DNA, structure of RNA and its type

Biology-Botany: Unit 04

• Recombinant DNA technology, transgenic plants with beneficial traits, plant tissue culture and its application, protoplasmic fusion

Biology-Botany: Unit 05

• Photosynthesis, significance, site of photosynthesis, photochemical and biosynthetic phases, electron transport system, cyclic and non cyclic photophosphorylation, C3 and C4 pathway, photorespiration, factor affecting photosynthesis, fermentation
• Plant growth, growth regulators, phytohormones, auxin, gibberellins, cytokinins, ethylene

Biology-Botany: Unit 06

• Food production, breeding experiments, improved varieties and role of biofertilizer, crop diseases and their control, biopesticides, genetically modied food, sustained agriculture and medicinal plants including microbes

Biology-Zoology: Unit 01

• Nutrition: Introduction carbohydrates, proteins, lipids, vitamins mineral, water, balanced diet, calorie value, (ICBM standard) obesity, hyperglycemia, hypoglycemia, malnutrition. Digestion, enzymes and enzyme action, bones and joints (major types)
• Nutrition: Muscles, muscle action, muscle tone, rigor mortis, aerobic exercises (body building) myasthenia gravis
• Respiration: Process of pulmonary respiration, inspiration expiration, exchange of gases at alveolar level, circulation, functioning of heart origin and conduction of heart beat, artificial pacemaker, coronary blood vessels and its significance
• Respiration: Myocardial infarction, angina pectoria, atherosclerosis, heart attack, resuscitation in heart attack (first aid) blood components, functions, plasma, corpuscles, blood clotting, anticoagulants, thrombosis, embolism
• Respiration: Blood related diseases like polycythemia, leukemia, lymph fluid
• Physiological coordination system: Brain, functioning of different regions, memory, sleep stroke, Alzheimer’s disease, meningitis, thyroid parathyroid hormones, insulin and glucagon, hormones of adrenal cortex and medulla
• Physiological coordination system: Reproductive hormones problems related to secretion, non secretion of hormones
• Receptor organs: Eye-focusing mechanism and photo chemistry of retina, short sightedness, nyctalopia, eye infection, conjunctivitis, glaucoma, ear-hearing mechanism, hearing impairments and aids, noise pollution and its importance, skin
• Receptor organs: Melanin functions, effect of solar radiation/ UV
• Excretion: Ureotelism, urea-biosynthesis (ornithine cycle), nephron-ultra filtration, tubular reabsorption and tubular secretion, renal failure, dialysis kidney stone formation kidney transplantation, Diabetes
• Reproductive system: Brief account of spermatogenesis and oogenesismenstrual cycle, in vitro fertilization, Birth control

Biology-Zoology: Unit 02

• Introduction, history of medical microbiology, the influence of Pasteur, Koch, and lister, virology, structure genetics culture and diseases, aids and its control, bacteriology-structure, genetics and diseases, protozoan microbiology, diseases oriented
• Pathogen city of micro organism, anti microbial resistance chemotherapy
• Single cell Protein
• Microbial culture technique and its applications, strain isolation and improvement, isolation of microbial products

Biology-Zoology: Unit 03

• Innate immunity (non specie), anatomical barriers, physiological barriers, phagocytic barriers lymphoidal organs, thymus, bursa of fabricius, peripheral lymphoid organs, lymph nodes, transplantation immunology, autoimmune disorders

Biology-Zoology: Unit 04

• Introduction, scope, human genetics, karyotyping chromosome gene mapping, recombinant DNA technology and segmenting, genetic diseases, human genome project, cloning, transgenic organisms, genetically modified organism (GMO)
• Gene therapy, animal cell culture and its applications, stem cell technology, bioethics of genetic engineering in animals

Biology-Zoology: Unit 05

• Human population and explosion, issue, global warming crisis, green house effect, ozone layer depletion, waste management, biodiversity conservation (biosphere reserve)

Biology-Zoology: Unit 06

• Livestock and management, breeds, farming method, poultry diseases, economic value pisciculture

Biology-Zoology: Unit 07

• Lamarckism, Darwinism-modern concept of natural selection, species of concept, origin of species and isolating mechanism