Comprehension of reading passages on a variety of topics and style 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.

**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
nucleus. Rutherford model of atom., Bohr model of 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 2 series, and isomerism (structural only), Classification of organic compounds, Common names, and I.U.P.A.C. naming system Saturated and unsaturated Hydrocarbons & Aromatic compound 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

**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. Velocity of escape. Simple harmonic motion. Energy of SHM. Hooke’s Law. Breaking stress. Modules of elasticity. Energy stored in stretched wire. Surface tension phenomenon. Surface energy. Capillarity. Fluid pressure. Pascal 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. 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 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. Velocity of sound in solid, liquid and gas: Laplace’s correction. Characteristics of 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. Permitivity. Electric field. Gauss’s law and its application. Electric potential. Capacitors. Ohm’s Law. Resistance–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.

**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, uses of complex numbers, Polynomial equations, sequence and series, Permutation and combination, Binomial theorem, exponential, 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 derivative – 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, Definite integral as the limit of a sum. Application to areas under a curve and area between two curves.

**Vectors**

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

- Comprehension of reading passages on a variety of topics and style 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

**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 nucleus. Rutherford model of atom., Bohr model of 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-Metal**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 compound**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

** **

**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. Velocity of escape. Simple harmonic motion. Energy of SHM. Hooke’s Law.Breaking stress. Modules of elasticity. Energy stored in stretched wire. Surface tension phenomenon. Surface energy. Capillarity. Fluid pressure. Pascal 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. 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 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. Velocity of sound in solid, liquid and gas: Laplace’s correction. Characteristics of 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. Permitivity. Electric field. Gauss's law and its application. Electric potential. Capacitors. Ohm's Law. Resistance–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

**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, uses of complex numbers, Polynomial equations, sequence and series, Permutation and combination, Binomial theorem, exponential, 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 derivative – 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, Definite integral as the limit of a sum. Application to areas under a curve and area between two curves.**Vectors**Vectors in space, addition of vectors. Linear combination of vectors, Linearly dependent and independent set of vectors, Scalar and vector product of two vectors, simple applications.

A. Mechanics:

- Physical Quantity
- Kinematics
- Dynamics
- Energy
- Rotational motion
- Gravitation
- Structure and Properties of Matter
- Elasticity
- Viscosity
- Surface tension

B. Heat & Thermodynamics:

- Heat and temperature
- Transmission of heat
- Basic assumption of kinetic theory of gasses
- Thermodynamics

C. Optics:

- Reflection
- Refraction
- Speed of light
- Dispersion of light
- Optical Instrument
- Photometry

D. Waves:

- Wave motion
- Sound
- Electromagnetic waves

E.Electrostatics and D. C. Circuits:

- Simple Electrostatic Phenomenon
- Charge flow
- Resistance
- Effect of Current
- Capacitors

F.Magnetic field and Current:

- Magnetic field
- Force on conductor
- Magnetic materials
- Electromagnetic induction
- Alternating current

G. Modern Physics:

- . Electron
- Photons
- Electronic
- Atoms
- Nucleus
- Radioactivity
- Elementary particles

A. General & Physical Chemistry:

- Language of Chemistry
- Gaseous state of matter
- Liquid state of matter
- Solid state of matter
- Laws of Stoichiometry
- Avogadro's Hypothesis and its important applications
- Atomic structure
- Quantum numbers
- Chemical bonding
- Oxidation and Reduction
- Periodic Table
- Acids, Bases and Salts
- Acidimetry and Alkalimetry
- Electrochemistry
- Electrode potential
- Chemical Kinetics
- Chemical Equilibrium
- LeChatelier’s Principle
- Chemical Thermodynamics
- Entropy and spontaneity

B. Inorganic Chemistry:

- Hydrogen, Oxygen and Nitrogen
- Carbon
- . Sulphur and its compound
- Halogen and halogen acids
- Introduction to Metals
- Alkali and alkaline earth metals
- Coinage metals
- Heavy metals

C. Organic Chemistry:

- Introduction to Organic Chemistry
- Hydrocarbons
- Organic halogen compounds
- Alcohols
- Ethers
- Carbonyl Compounds
- Carboxylic Acids
- Amines
- Aromatic Hydrocarbons
- Aniline and Nitrobenzene
- Carbohydrates, Proteins, Nucleic Acids, Lipids
- Polymers, Pesticides, Dyes and Drugs.

- Representation of Data
- Measures of Location and Spread
- Probability
- Permutation and Combination
- Probability Distributions
- Binomial Distributions
- Expectation and Variance of a random variable
- Normal Distribution
- Surds and indices
- Functions and Graphs
- Quadratics and Inequalities
- Differentiation
- Application of Differentiation
- Sequences
- Binomial Theorem
- Trigonometry
- Extending Differentiation
- Vectors
- Geometric Sequences
- Second Derivative
- Integration
- Volume of revolution
- Polynomial
- The Modulus function
- Exponential and Logarithmic function
- Differentiating Exponential and Logarithmic Functions
- Differentiating Trigonometric Function
- Determinants
- Matrices
- Equation of Straight Lines
- A pair of lines
- System of linear equations
- System of Linear Inequalities and Graphs
- Complex Numbers
- Limits and Continuity
- Coordinate Space
- Plane
- Concept of Sets
- Relation
- Functions

- Introduction to Biology
- Cell, cell-division and life components
- Origin of Life
- Theory of Evolution by Natural Selection
- Human Evolution
- Heredity and variation
- Regulation of replication, transcription, translation and expression of genetic material
- Concept of Taxonomy
- Monera
- Viruses
- Protista
- Mycota
- Plantae
- Morphology, Reproduction, Growth and Development of Flowering Plant
- Photosynthesis
- Transpiration
- Animalia
- Study of Earthworm
- Study of Frog
- Animal Tissues
- Animal Nutrition and Digestive system
- Respiratory system
- Circulation of body fluids
- Excretion and osmoregulation
- Nervous system
- Endocrine system
- Animal reproduction and embryonic development
- Aminocentesis
- Growth Repair, Regeneration, Agemg and Death
- Animal Behaviour
- Concept of ecosystem
- Environmental pollution
- Green-house effect and global warming
- Conservation of Natural resources
- Pesticides
- Bio-fertilizers and biological pest control
- Biotechnology
- Domestication of plants and crop improvements
- Bioenergy
- Mental health, addiction and community health

विज्ञान तथा प्रविधी (क)

- Comprehension of reading passages on a variety of topics and style 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

**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 nucleus. Rutherford model of atom., Bohr model of 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-Metal**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 compound**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

** **

**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. Velocity of escape. Simple harmonic motion. Energy of SHM. Hooke’s Law.Breaking stress. Modules of elasticity. Energy stored in stretched wire. Surface tension phenomenon. Surface energy. Capillarity. Fluid pressure. Pascal 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. 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 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. Velocity of sound in solid, liquid and gas: Laplace’s correction. Characteristics of 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. Permitivity. Electric field. Gauss's law and its application. Electric potential. Capacitors. Ohm's Law. Resistance–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

**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, uses of complex numbers, Polynomial equations, sequence and series, Permutation and combination, Binomial theorem, exponential, 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 derivative – 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, Definite integral as the limit of a sum. Application to areas under a curve and area between two curves.**Vectors**Vectors in space, addition of vectors. Linear combination of vectors, Linearly dependent and independent set of vectors, Scalar and vector product of two vectors, simple applications.

Weightage in Physics (P), Chemistry (C), Mathematics (M), and English (E): The weightage for M, P, C and E for the entrance examination syllabus shall be 40%, 30%, 20% and 10%, respectively.

__ ____Syllabus____ ____of Mathematics ____[Weightage: ____40%]__

1.1 Set, real number system, intervals, absolute value, logic, connectives, laws of logic

1.2 Function, types of functions – injective, surjective, bijective, algebraic, trigonometric, exponential and logarithmic; Inverse of function, composite functions

2.1 Matrices and determinants, types and properties, inverse of a matrix

2.2 Complex numbers and Polynomial equations

2.3 Sequence and series, Permutation and Combination

2.4 Binomial theorem, exponential and logarithmic series

3.1 Trigonometric equations and general values

3.2 Inverse trigonometric functions, principal value

3.3 Properties of triangles, in-centre, ortho-centre and circum-centre, solution of triangles

4.1 Straight lines, pair of lines

4.2 Circles, equations of circle in different forms, tangent and normal

4.3 Conic sections: Parabola, Ellipse and Hyperbola, standard equations and simple properties

4.4 Coordinates in space, Plane and its equation

5.1 Limit and continuity of functions, indeterminate forms, L’Hospital’s rule

5.2 Derivatives, rules of derivatives, geometrical & physical meanings, higher order derivatives, applications of derivative: tangent and normal, rate of change, maxima and minima

5.3 Integration, linear properties, rules of integration, standard integrals, definite integral, applications of definite integral: area under a curve and area between two curves

5.4 Differential equations, order and degree, differential equation of first order and first degree: variable separable method, homogeneous, linear and exact differential equations, integrating factor

6.1 Vectors in plane and space, algebra of vectors, linear combination of vectors, linearly dependent and independent set of vectors

6.2 Product of two vectors, scalar and vector product of two vectors, scalar triple product

7.1 Measures of location and measures of dispersion

7.2 Correlation and regression

7.3 Basic terms of probability, conditional and compound probability, additive and multiplicative rules, Bayes’ theorem, binomial distribution

1.1 Physical Quantities, Vector and Kinematics: Dimensions, Resolution and Polygon laws of Vector, Vector Algebra, Equations of Motions, Projectile Motion, Relative Motion

1.2 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

1.3 Work, Energy and Power: Work-Energy theorem, Kinetic and Potential energy, Conservation of Energy, Conservative and non-conservative forces, Elastic and inelastic collisions

1.4 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

1.5 Rotational Dynamics: Moment of Inertia, Radius of Gyration, Rotational KE, Center of gravity and center of mass, Torque, Conservation of Angular momentum

1.6 Elasticity: Hook’s law, Young modulus, Bulk modulus, modulus of rigidity, Poissons’ ratio, elastic energy

1.7 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

2.1 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

2.2 Thermal expansion: Expansion of Solid & Liquid, Measurement and Applications of expansions

2.3 Transfer of Heat: Conduction, Convection, Radiation, Thermal Conductivity, Black body radiation, Stefan- Boltzmann law

2.4 Thermal properties of Matter: Molecular Properties of matter, Kinetic Theory of gases, heat capacities of gases and solids

2.5 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.

3.1 Reflection: Plane and Curved Mirror, Mirror Formula

3.2 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

3.3 Dispersion: Spectrum, Dispersive Power, Chromatic Aberration, Achromatism, Spherical Aberration, Scattering of light

3.4 Nature and Propagation of Light: Huygen’s principle, Velocity of light

3.5 Interference: Coherent sources, Young’s double slit experiment

3.6 Diffraction: Fraunhoffer diffraction, Diffraction grating, Resolving power

3.7 Polarization: Brewster’s law, Transverse nature of light, Polaroid

4.1 Wave Motion: Travelling and Stationary wave

4.2 Mechanical Waves: velocity of sound in solid, gas and liquid, effect of temperature, pressure, humidity

4.3 Waves in Pipes and String: closed and Open pipes, Resonance, Resonance Tube, string, laws of vibration of fixed string

4.4 Acoustic Phenomena: Pressure amplitude, intensity level, quality and pitch, Ultrasonic and Infrasonic, Doppler’s effect

5.1 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

5.2 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

5.3 Thermoelectric Effect: Seebeck effect, Thermocouples, Peltier effect, Thermopile, Thomson effect

5.4 Magnetic effect: Force on a conductor and charge, Torque, Hall’s effect, Biot-Savart’s law, Ampere’s law, Force between parallel conductors

5.5 Magnetic properties of matter: Earth magnetism, magnetic materials, permeability, susceptibility, hysteresis

5.6 Electromagnetic Induction: Faraday’s law, Induced emf, AC Generators, Self and mutual induction, energy stored by inductor, transformer

5.7 Alternating Currents: RMS value, Phasor diagram of capacitance, inductance and resistance, Quality factor, Power factor

6.1 Electrons: Millikons’s experiment, Cathode rays, specific charge

6.2 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

6.3 Solids & Semiconductor Devices: Intrinsic and extrinsic semiconductors, P-N junction, Rectification, Zener diode, Transistor, Logic gates

6.4 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

6.5 Recent Trends in Physics

6.5.1 Particle Physics: Particle and anti-particle, Quarks, Lepton, Baryon, Mesons, Higgs Boson

6.5.2 Universe: Big Bang and Hubble’s Law, Dark Matter, Gravitational Wave, Black Hole

6.5.3 Seismology: Pressure wave, Surface Wave, Internal wave

6.5.4 Telecommunication: Radio, TV and Mobile, GPS and Remote sensing

6.5.5 Environment: Energy Crisis, Environment Pollution, Ozone Layer

6.5.6 New Technology & Materials: Nano-technology, super conductor & Perfect conductor

1.1 Chemical Arithmetic: Dalton’s atomic theory and Laws of Stoichiometry, Atomic mass and Molecular mass, Empirical molecular formula and limiting Reactants, Avogadro are Hypothesis and its applications and Equivalent masses.

1.2 State of Matter: Gaseous state, liquid and solid states.

1.3 Atomic Structure and Periodic Classification of Elements:

1.4 Oxidation, Reduction and Equilibrium

1.5 Volumetric Analysis,

1.6 Ionic Equilibrium, Acid, Base and Salt

1.7 Electrochemistry

1.8 Energetic of Chemical Reaction, Chemical Kinetics, Chemical Bonding and Shape of Molecules

2.1 Non-metal: Hydrogen, Oxygen, Ozone, Water, Nitrogen and its compounds, Halogen, Carbon, Phosphorous, sulphur, Noble gas and Environment pollution.

2.2 Metals: Metallurgical Principle, Alkali metal, Alkaline Earth metals, Coinage metals: Copper, Silver, Gold

2.3 Extraction of Metal: Zinc and Mercury, Iron Compound

3.1 Introduction: Fundamental principles, Purification of organic compounds, Nomenclature of Organic compounds, Structure isomerism and idea of reaction mechanism

3.2 Hydrocarbons: Alkanes, Alkenes and Alkynes, Aromatic hydrocarbons

3.3 Haloalkanes and Haloarenes

3.4 Alcohols, Phenols and Ethers

3.5 Aldehydes, Ketones, Carboxylic Acid and Derivatives, Aliphatic and Aromatic

3.6 Nitro Compounds and Amines: Aromatic and Aliphatic

The English proficiency test for entrance in engineering is based on general English and it is designed to measure students’ abilities to communicate in English. It consists of four (4) chapters, with each chapter consisting of 4-8 sub-chapters, as outlined hereunder. Each university may decide on distribution of weightage across each chapter/sub-chapter.

1.1 Synonyms and antonyms

1.2 Homonyms, homophones

1.3 Word building, suffixes and prefixes

1.4 Meaning of words in context

1.5 Idioms and phrases

2.1 Articles and possessives

2.2 Pronouns, prepositions, adjectives, adverbs

2.3 Tenses, modals, conditions

2.4 Subject verb agreement

2.5 Tag questions

2.6 Sentence types and transformations

2.7 Voice

2.8 Direct and indirect narration

3.1 Contents/ideas

3.2 Reading between the lines

3.3 Contextual clues

3.4 Reconstruction (rewording)

4.1 Punctuations

4.2 Cohesive devices

4.3 Coherence

4.4 Discourse markers

5.1 Phonemes

5.2 Phonemics symbols

5.3 Word stress

5.4 Intonation

- Comprehension of reading passages on a variety of topics and style 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

**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 nucleus. Rutherford model of atom., Bohr model of 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-Metal**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 compound**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

** **

**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. Velocity of escape. Simple harmonic motion. Energy of SHM. Hooke’s Law.Breaking stress. Modules of elasticity. Energy stored in stretched wire. Surface tension phenomenon. Surface energy. Capillarity. Fluid pressure. Pascal 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. 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 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. Velocity of sound in solid, liquid and gas: Laplace’s correction. Characteristics of 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. Permitivity. Electric field. Gauss's law and its application. Electric potential. Capacitors. Ohm's Law. Resistance–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

**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, uses of complex numbers, Polynomial equations, sequence and series, Permutation and combination, Binomial theorem, exponential, 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 derivative – 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, Definite integral as the limit of a sum. Application to areas under a curve and area between two curves.**Vectors**Vectors in space, addition of vectors. Linear combination of vectors, Linearly dependent and independent set of vectors, Scalar and vector product of two vectors, simple applications.