B.E./B.Arch. Entrance Examination Syllabus

 1. Subject: English                          Ful Marks: 20

Comprehension of reading passages on a variety of topics and styles with special references to (i) General English and (ii) Technical English.

Grammar – Familiarity with the following aspects:

Parts of Speech, Basic Grammatical Patterns / Structures, Tense and Aspect, Conditional sentences, Verbals: infinitives, Participles and Gerunds, Direct and Indirect Speech, Active and Passive Voice, Kinds of Sentences, Transformation of sentences, Concord /Agreement, Vocabulary, Use of Prepositions, Idiomatic expressions, Punctuation, Phonemes and phonetic symbols, Word Stress.

 

2. Subject: Chemistry                    Full Marks: 25                                                                            

Language of Chemistry & Physical Chemistry: Symbol, formulate valency and chemical questions, Problems based on chemical equations (relation with weight and weight, and weight and volume); Atomic Structure: Study of Cathode rays, and discovery of electrons, Rutheford's X-ray scattering experiment and discovery of the nucleus. Rutherford's model of an atom., Bohr model of an atom, Elementary concept of quantum numbers, Electron configuration of the elements.; Electronics Theory to Valency: Octet rule, Electrovalency, covalency and coordinate valency, General characteristics ionic and covalent compounds; Oxidation and Reduction: Classical definitions, Electronic interpretations of oxidation and reduction, Balancing of redox equations by oxidation number method; Periodic Classification of Elements: Mendeleev's periodic law, anomalies of Mendeleev's periodic table, Modern periodic Law, Periodic Properties viz. ionization potential, electronegativity and atomic radii, and their variation in the periodic table; Equivalent Weight and Atomic Weight: Concept of equivalent weight, and its determination by hydrogen displacement method and oxide method, Concept of atomic weight, equivalent weight and valency, determination of atomic weight using Dulong and Petit's rule; Molecular Weight and Mole: Avogardo's hypothesis and its deductions, Avogadro number and concept of mole, Determination of molecular weight by Victor Meyer's method; Electro–Chemistry; Electrolytes and non-electrolytes, strong electrolytes and weak electrolytes, Faraday's laws of electrolysis, Solubility product principle and its applications in qualitative analysis; Theories of Acids and Bases: Arrhenius theory, Bronsted and Lowry theory, Lewis theory; Volumetric Analysis Equivalent weights of acids, base and salts, Principles of acidimetry and alkalimetry, pH and pH scale.

Non-Metals

Water: Hard water and soft water, Causes and removal of hardness of water; Nitrogen and its Compounds: Nitrogen cycle, Preparation of ammonia and nitric acid in the lab, and their properties, Manufacture of ammonia and nitric acid, Sulphur and its Compound.

Allotropy of sulphur, Preparation of hydrogen sulphide, sulphure dioxide in the lab, and their properties, Manufacture of sulphuric acid by contact process; Halogens and Their Compound: Position of halogens in the periodic table, Preparation of chlorine and hydrogen chloride in the lab, and their properties.

Metals

Compounds of Metals: General methods of preparation and properties of oxides, hydroxides, chlorides, nitrates, sulphates and carbonates of metals; Sodium: Extraction of Sodium (Down's process), Manufacture of caustic soda sodium carbonate; Copper: Extraction of copper from copper pyrite, Manufacture of Blue vitriol; Zinc: Extraction of zinc from zinc blend, Galvanization; Iron: Extraction of cast iron from hematite, Cast iron, steel and wrought iron, Types of steel, Manufacture of steel

Organic Chemistry

Sources and Purification of Organic Compounds: Characteristics of organic compounds, Sources of organic compounds, Purification of organic compounds; Classification and nomenclature of organic Compounds: Functional group, homologous

series, and isomerism (structural only), Classification of organic compounds, Common names, and I.U.P.A.C. naming system

Saturated and unsaturated Hydrocarbons & Aromatic compounds

Preparation and properties of methane, Preparation and properties of ethylene and acetylene, Alkyl Halides: Preparation and properties of ethyl iodide; Aromatic Compounds: Structure of benzene, Preparation of benzene in the laboratory, Properties of benzene

 

 

3. Subject: Physics                         Full Marks: 45                                                  

Mechanics

Dimensions, Equations of motion, Motion of a projectile. Laws of motion. Addition and subtraction of vectors. Relative velocity. Equilibrium of forces. Moments. Centre of mass. Centre of gravity. Solid friction. Work, power and energy. Conservation of energy. Angular speed. Centripetal force. Moment of inertia. Torque on a body. Angular momentum. Rotational kinetic energy. Laws of gravitation. Gravitational intensity, Gravitational potential. The velocity of escape. Simple harmonic motion. The energy of SHM. Hooke’s Law. Breaking stress. Modules of elasticity. Energy is stored in the stretched wire. Surface tension phenomenon. Surface energy. Capillarity. Fluid pressure. Pascal's law of transmission of fluid pressure. Archimedes' principle. Flotation Stokes' law. Terminal velocity,

Heat

Heat and temperature. Temperature scale. Measurement of heat energy. Specific heat capacity. Latent heat. Saturated and Unsaturated vapour. Relative humidity and dew point. The first law of thermodynamics. Reversible isothermal and adiabatic changes. Gas laws. Kinetic theory of gases. Second Law of thermodynamics. Carnot's engine. Transfer of Heat. Conduction, convection and radiation. Expansion of solid, liquid and gas.

Optics

Formation of images by plane and curved mirrors. Refraction of light through-plane surfaces. Total internal reflection. Critical angle. Refraction through a prism. Maximum and minimum deviation. Formation of images by lenses. Dispersion. Achromatic combination of lenses visual angle. Angular magnification. Defect of vision. Telescope and microscope. Wave theory of light: introduction to Huygen's principle and its application interference diffraction and polarization of light.

Sound

Damped vibration. Forced oscillation. Resonance. Progressive waves, Principle of superposition. The velocity of sound in solid, liquid and gas: Laplace’s correction. Characteristics of a Sound wave. Beat phenomenon. Doppler effect. Stationary waves. Waves in pipes. Waves in String.

Electricity

Electric Charge. Gold leaf electroscope. Charging by induction Faraday's ice pail experiment. Coulomb's law. Permittivity. Electric field. Gauss's law and its application. Electric potential. Capacitors. Ohm's Law. Resistance–a combination of resistances. emf. Kirchhoff's law and its application. Heating effect of current. Thermoelectricity. Chemical effect of current. Potentiometer. Wheatstone bridge. Galvanometer. Conversion of galvanometer into voltmeter and ammeter. Magnetic Field. Earth's magnetism. Magnetic Flux. Force on a current-carrying conductor. Ampere's law, Biot-Savart's law and their applications. Solenoid. Electromagnetic induction.AC circuits.

Atomic Physics and Electronics:

Discharge electricity through gases. Cathode rays. Electronic mass and charge Bohr's theory of atomic structure. Energy level. X-rays. Photoelectric effect Radioactivity. Nuclear – fission and fusion.

Semiconductors. Junction Transistor.

Subject: Mathematics             Full Marks: 50

Set and Function

Set and relations, Functions and graphs, Algebraic, Trigonometric, Exponential, Logarithmic and hyperbolic functions and their inverses.

Algebra

Determinants, matrices, Inverse of a matrix, use of complex numbers, Polynomial equations, sequence and series, Permutation and combination, Binomial theorem, exponential, and Logarithmic series.

Trigonometry

Trigonometric equations and general values, Inverse trigonometric functions, Principal values, Properties of triangles; Centroid, incentre, Orthocentre and circumcentre and their properties.

Coordinate Geometry

Coordinates in a plane, Straight lines, Pair of lines, Circles, Conic sections: Parabola, ellipse and hyperbola. Standard equations and simple properties, Coordinates in space, Plane and its equation.

Calculus

Limit and continuity of functions, Derivatives and application of derivatives – Tangent and normal, Rate of change, differentials dy and actual change Dy. Maxima and Minima of a function.; Antiderivatives (Integrations): rules of Integration, Standard Integrals, and Definite integral as the limit of a sum. Application to areas under a curve and areas between two curves.

Vectors

Vectors in space, the addition of vectors. Linear combination of vectors, Linearly dependent and independent set of vectors, Scalar and vector product of two vectors, simple applications