BEEE Syllabus 2025: Subject-Wise Syllabus, Marking Scheme

Name of the Institute

Bharath Institute of Higher Education and Research

Name of the Examination

Bharath Entrance Engineering Exam

Level of Exam

National Level

Category

BEEE Syllabus

Syllabus

English

Physics

Chemistry

Mathematics

Biology

Official Website

www.bharathuniv.ac.in

Units

Topics

Units and measurement

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

Mechanics

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

Gravitation, mechanics of solids, and fluids

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

Oscillations and wave motion

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

Heat and thermodynamics

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

Ray and wave optics and magnetism

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

Electricity and magnetism

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

Atomic physics and relativity

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

Dual nature of matter and nuclear physics

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

Electronics and communication

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

Units

Topics

Some basic concepts in chemistry

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

States of matter

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

Chemical families – periodic properties

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

Atomic structure

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

Chemical bonding and molecular structure

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

Solutions

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

Chemical equilibrium

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

Electrochemistry

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

Surface chemistry, chemical kinetics, and catalysis

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

Some basic principles of organic chemistry

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, electrometric effect, resonance and hyperconjugation

Hydrocarbons

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

Organic compounds containing oxygen

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

Organic compounds containing nitrogen

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

Polymers

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 in everyday life

Chemicals in medicines-analgesics, tranquilizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antacids

Cleansing agents-soaps and detergents, cleansing action

Serial No.

Units

1

Sets, relations, and functions

2

Complex numbers

3

Matrices and determinants

4

Applications of matrices and determinants

5

Quadratic equations

6

Permutations and combinations

7

Mathematical induction and its applications

8

Trigonometry

9

Sequences and series

10

Differential calculus

11

Applications of differential calculus

12

Integral calculus

13

Differential equations

14

Straight lines in two dimensions

15

Circles in two dimensions

16

Conic sections in two dimensions

17

Vector algebra

18

Measures of central tendency and dispersion

19

Probability

Units

Topics

Taxonomy of angiosperm

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

Plant anatomy

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

Cell biology and genetics

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

Biotechnology

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

Plant physiology

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, cytokinin, ethylene

Biology in human welfare

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

Units

Topics

Human physiology

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

Microbiology

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 microorganism, anti-microbial resistance chemotherapy

Single cell Protein

Microbial culture technique and its applications, strain isolation and improvement, isolation of microbial products

Immunology

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

Modern genetics and animal biotechnology

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

Environmental science

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

Applied biology

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

Theories of evolution

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

Serial No.

Particulars

Details

1

Total marks weightage

100

2

Mode of examination

Online and offline

3

Subjects

English, Physics, Chemistry, Mathematics/Biology

4

Types of question

Multiple Choice Questions (MCQs)

5

Marking scheme

No negative marking

Serial No.

Subjects

No. of questions

Marks Allotted

1

English

10

10

2

Physics

30

30

3

Chemistry

30

30

4

Mathematics

30

30

5

Biology (Only for Bio-engineering candidates)

30

30

Total

100

100