Hello there, here is the new updated **syllabus of the IOE entrance examination** released by IOE. There is also in pdf format at the end of the article, do check it out. Thank You❤️.

# Syllabus of B.E./B.Arch. Entrance Examination - 2080

## Mathematics (Full Marks - 50) :

### A. Set, Logic and Functions

- Set, real number system, intervals, absolute value, logic, connectives, laws of logic
- Function, types of functions – injective, surjective, bijective, algebraic, trigonometric,
- exponential and logarithmic; Inverse of function, composite functions

### B. Algebra

- Matrices and determinants, types and properties, inverse of a matrix
- Complex numbers and Polynomial equations
- Sequence and series, Permutation and Combination
- Binomial theorem, exponential and logarithmic series

### C. Trigonometry

- Trigonometric equations and general values
- Inverse trigonometric functions, principal value
- Properties of triangles, in-centre, ortho-centre and circum-centre, solution of triangles

### D. Coordinate Geometry

- Straight lines, pair of lines
- Circles, equations of circle in different forms, tangent and normal
- Conic sections: Parabola, Ellipse and Hyperbola, standard equations and simple properties
- Coordinates in space, Plane and its equation

### E. Calculus

- Limit and continuity of functions, indeterminate forms, L’Hospital’s rule
- Derivatives, rules of derivatives, geometrical & physical meanings, higher order derivatives,
- Applications of derivative: tangent and normal, rate of change, maxima and minima
- Integration, linear properties, rules of integration, standard integrals, definite integral,
- Applications of definite integral: area under a curve and area between two curves
- Differential equations: definition, order and degree, differential equation of first order and first degree: variable separable method, homogeneous, linear and exact differential equations, integrating factor

### F. Vectors and their Products

- Vectors in plane and space, algebra of vectors, linear combination of vector linearly dependent and independent set of vectors
- Product of two vectors, scalar and vector product of two vectors, scalar triple product

### G. Statistics and Probability

- Measures of location and measures of dispersion
- Correlation and regression
- Basic terms of probability, conditional and compound probability, additive and multiplicative rules, Bayes’ theorem, binomial distribution

## Physics (Full Marks - 40) :

### A. Mechanics

- Physical Quantities, Vector and Kinematics: Dimensions, Resolution and Polygon laws of Vector, Vector Algebra, Equations of Motions, Projectile Motion, Relative Motion
- Newton’s Laws of Motion and Friction: Conservation of linear momentum, Applications of Newton’s Laws in Equilibrium and Non-equilibrium, laws of Solid Friction and verification
- Work, Energy and Power: Work-Energy theorem, Kinetic and Potential energy, Conservation Energy, Conservative and non-conservative forces, Elastic and inelastic collisions
- Circular motion, Gravitation and SHM: Centripetal force, Conical Pendulum, Banking of Track, Gravitational Potential, variation of g, Motion of satellite, Rocket launch technology, Energy in SHM, Spring -Mass system, simple Pendulum, Damped and Forced oscillation, resonance
- Rotational Dynamics: Moment of Inertia, Radius of Gyration, Rotational KE, Center of gravity and center of mass, Torque, Conservation of Angular momentum
- Elasticity: Hook’s law, Young modulus, Bulk modulus, modulus of rigidity, Poissons’ ratio, elastic energy
- Fluid Mechanics: buoyancy, flotation, Archimedes’ principle, surface tension, capillarity and applications, viscosity, Newton, Stoke and Poiseuille’s formula, Reynold number, continuity equation, Bernoulli’s equation

### B. Heat and Thermodynamics

- Temperature and Quantity of Heat: Thermal Equilibrium, Specific heat, latent heat Method of Mixture, Measurement of specific heat and latent heat, Newton’s law of cooling, triple point
- Thermal expansion: Expansion of Solid & Liquid, Measurement and Applications of expansions
- Transfer of Heat: Conduction, Convection, Radiation, Thermal Conductivity, Black body radiation, Stefan- Boltzmann law
- Thermal properties of Matter: Molecular Properties of matter, Kinetic Theory of gases, heat capacities of gases and solids
- Laws of Thermodynamics: First law, Heat and Work, relation of specific heat of gas,
- thermodynamics processes, Second law, Heat engine, efficiency, Carnot Cycle, Otto Cycle, Diesel cycle, Refrigerator, Entropy.

### C. Geometric and Physical Optics

- Reflection: Plane and Curved Mirror, Mirror Formula
- Refraction: Plane Surface, Critical Angle, Total Internal Reflection, Lateral shift,
- Prism, Minimum Deviation, Lenses, Lens Formula, Lens maker’s formula, Combination
- of lenses in contact, Optical Fiber
- Dispersion: Spectrum, Dispersive Power, Chromatic Aberration, Achromatism,
- Spherical Aberration, Scattering of light
- Nature and Propagation of Light: Huygen’s principle, Velocity of light
- Interference: Coherent sources, Young’s double slit experiment
- Diffraction: Fraunhoffer diffraction, Diffraction grating, Resolving power
- Polarization: Brewster’s law, Transverse nature of light, Polaroid

### D. Waves and Sound

- Wave Motion: Travelling and Stationary wave
- Mechanical Waves: velocity of sound in solid, gas and liquid, effect of temperature, pressure, humidity
- Waves in Pipes and String: closed and Open pipes, Resonance, Resonance Tube, string, laws of vibration of fixed string
- Acoustic Phenomena: Pressure amplitude, intensity level, quality and pitch, Ultrasonic and Infrasonic, Doppler’s effect

### E. Electricity & Magnetism

- Electrostatics: Coulomb’s law, Electric field and Gauss law, Potential and potential gradient, Capacitors, combination of capacitors, types of capacitors, effect of dielectrics, Energy stored by capacitors, polarization and displacement
- DC Circuits: Ohm’s law, resistivity and conductivity, work and power, Galvanometer and Ohm meter, internal resistance, Joule’s law, Kirchhoff’s law and applications
- Thermoelectric Effect: Seebeck effect, Thermocouples, Peltier effect, Thermopile, Thomson effect
- Magnetic effect: Force on a conductor and charge, Torque, Hall’s effect, Biot-Savart’s law, Ampere’s law, Force between parallel conductors
- Magnetic properties of matter: Earth magnetism, magnetic materials, permeability, susceptibility, hysteresis
- Electromagnetic Induction: Faraday’s law, Induced emf, AC Generators, Self and mutual induction, energy stored by inductor, transformer
- Alternating Currents: RMS value, Phasor diagram of capacitance, inductance and resistance, Quality factor, Power factor

### F. Modern Physics

- Electrons: Millikons’s experiment, Cathode rays, specific charge
- Photons & Quantization of Energy: Photoelectric effect, Plank’s constant, Bohr’s theory, spectral series, De Broglie theory, Uncertainty principle, X-ray and Bragg’s law, Laser
- Solids & Semiconductor Devices: Intrinsic and extrinsic semiconductors, P-N junction, Rectification, Zener diode, Transistor, Logic gates
- Radioactivity & Nuclear Reaction: Atomic mass, Isotopes, Nuclear density, Einstein’s mass energy relation, mass defect, fission & fusion, law of radioactive disintegration, carbon dating, health hazard

### G. Recent Trends in Physics

- Particle Physics: Particle and anti-particle, Quarks, Lepton, Baryon, Mesons, Higgs
- Boson
- Universe: Big Bang and Hubble’s Law, Dark Matter, Gravitational Wave, Black Hole
- Seismology: Pressure wave, Surface Wave, Internal wave
- Telecommunication: Radio, TV and Mobile, GPS and Remote sensing
- Environment: Energy Crisis, Environment Pollution, Ozone Layer
- New Technology & Materials: Nano-technology, super conductor & Perfect conductor

## Chemistry (Full Marks - 30) :

### A. Physical Chemistry

- Chemical Arithmetic: Dalton’s atomic theory and Laws of Stoichiometry,Atomic mass and Molecular mass, Empirical molecular formula and limitingReactants, Avogadro are Hypothesis and its applications and Equivalent masses.
- State of Matter: Gaseous state, liquid and solid states.
- Atomic Structure and Periodic Classification of Elements:
- Oxidation, Reduction and Equilibrium
- Volumetric Analysis,
- Ionic Equilibrium, Acid, Base and Salt
- Electrochemistry
- Energetic of Chemical Reaction, Chemical Kinetics, Chemical Bonding and Shape of Molecules

### B. Inorganic Chemistry

- Non-metal: Hydrogen, Oxygen, Ozone, Water, Nitrogen and its compounds, Halogen, Carbon, Phosphorous, sulphur, Noble gas and Environment pollution.
- Metals: Metallurgical Principle, Alkali metal, Alkaline Earth metals, Coinage metals: Copper, Silver, Gold
- Extraction of Metal: Zinc and Mercury, Iron Compound

### C. Organic Chemistry

- Introduction: Fundamental principles, Purification of organic compounds, Nomenclature of Organic compounds, Structure isomerism and idea of reaction mechanism
- Hydrocarbons: Alkanes, Alkenes and Alkynes, Aromatic hydrocarbons
- Haloalkanes and Haloarenes
- Alcohols, Phenols and Ethers
- Aldehydes, Ketones , Carboxylic Acid and Derivatives, Aliphatic and Aromatic
- Nitro Compounds and Amines: Aromatic and Aliphatic

## English (Full Marks - 20) :

### Grammar I

- Sequence of Tense, Concord /Agreement
- Direct and Indirect Speech
- Kinds of Sentences and Transformation of Sentences

### Grammar II

- Basic Grammatical Patterns/Structures, Conditional Sentences
- Parts of Speech, Active and Passive Voice
- Verbal: Infinitives, Gerund and Participles
- Punctuation and Use of Prepositions
- Vocabulary
- Idiomatic Expressions

### Phonetics

- Phonemes (Vowels/Consonants)
- Syllables and Stress (Word/Sentence)

### Comprehension

- Comprehensions of reading passages on a variety of topics and style
- with special references to General English and Technical English

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