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sir ,i want syllabus of scra examination 2010 so plz forward in my id to thi syllabus

Syllabus of SCRA Examination -


SCRA (Special Class Railway Apprentices) Examination Was Conducted by UPSC.

Paper I -

English - The Questions Will be Designed to Test the Candidates Understanding And Command of The Language.

General Knowledge

Psychological Test - The Questions Will Be Designed to Assess the Basic Intelligence and Mechanical Aptitude Of The Candidate.


Paper II -


Physics

Chemistry

Paper III -


Mathematics - Algebra, matrixes, trigonometry, analytical ability, calculus, integral calculus and differential equations, vectors, statistics and probability are present in syllabus.


And For Complete Syllabus, Please Download The Given Attach File -

SCRA 2011

SCRA Exam Syllabus

Paper I English
General Knowledge
Psychological Test

Paper II Physics
Chemistry

PapeR III Mathematics


check the upsc notification and website.

www.upsc.gov.in

wish you all the best..........................

SCRA Exam Syllabus 2010
Paper I English
General Knowledge
Psychological Test
Paper II Physics
Chemistry
Paper III Mathematics

Paper – I

English :
The questions will be designed to test the candidates’ understanding and command of the language.

General Knowledge :

The questions will be designed to test a candidate’s general awareness of the environment around him and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.

Man and his environment

Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.

Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases.

Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control.

Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India.

Solar system and the earth, Seasons, Climate, Weather, Soil-its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India.

Distribution of natural resources and industries in India. Exploration of under-ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.

History, Politics and Society in India

Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora). The rise of new social forces with the coming of Islam and establishment of broader contacts.

Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.

Constitution of India and its characteristic features – Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government.

Major political ideologies-democracy, socialism, communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system.

India’s foreign policy and non-alignment-Arms race, balance of power. World organisation-political, social, economic and cultural. Important events (including sports and cultural activities) in India and abroad during the past two years.

Broad features of Indian social system: The caste system, hierarchy – recent changes and trends. Minority social institution – marriage, family, religion and acculturation.

Division of labour, co-operation, conflict and competition, Social control – reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control – family, religion, state educational institutions; factors of social change- economic, technological, demographic, cultural; the concept of revolution.

Social disorganisation in India – Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment.

Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and backward classes.

Money – Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and price stabilization, problem of resource mobilisation. India’s Five Year Plans.

Psychological Test :

The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.

Paper – II

Physics

Length measurements using vernier, screw gauge, spherometer and optical lever. Measurement of time and mass.

Straight line motion and relationships among displacement, velocity and acceleration.

Newton’s laws of motion, Momentum, impulse, work, energy and power.
Coefficient of friction.

Equilibrium of bodies under action of forces. Moment of a force, couple. Newton’s law of gravitation. Escape velocity. Acceleration due to gravity.

Mass and Weight; Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum.

Pressure in a fluid and its variation with depth. Pascal’s law. Principle of Archimedes. Floating bodies, Atmospheric pressure and its measurement.

Temperature and its measurement. Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes. Transmission of heat; thermal conductivity.

Wave motion; Longitudinal and transverse waves. Progressive and stationary waves, Velocity of sound in gas and its dependence on various factors. Resonance phenomena (air columns and strings).

Reflection and refraction of light. Image formation by curved mirrors and lenses, Microscopes and telescopes. Defects of vision.

Prisms, deviation and dispersion, Minimum deviation. Visible spectrum.

Field due to a bar magnet, Magnetic moment, Elements of Earth’s magnetic field. Magnetometers. Dia, para and ferromagnetism.

Electric charge, electric field and potential, Coulomb’s law.

Electric current; electric cells, e.m.f. resistance, ammeters and voltmeters. Ohm’s law; resistances in series and parallel, specific resistance and conductivity. Heating effect of current.

Wheatstone’s bridge, Potentiometer.

Magnetic effect of current; straight wire, coil and solenoid electromagnet; electric bell.

Force on a current-carrying conductor in magnetic field; moving coil galvanometers; conversion to ammeter or voltmeter.

Chemical effects of current; Primary and storage cells and their functioning, Laws of electrolysis.

Electromagnetic induction; Simple A.C. and D.C. generators. Transformers, Induction coil,

Cathode rays, discovery of the electron, Bohr model of the atom. Diode and its use as a rectifier.

Production, properties and uses of X-rays.

Radioactivity; Alpha, Beta and Gamma rays.

Nuclear energy; fission and fusion, conversion of mass into energy, chain reaction.

Chemistry

Physical Chemistry

1. Atomic structure; Earlier models in brief. Atom as at three dimensional model. Orbital concept. Quantum numbers and their significance, only elementary treatment.Pauli’s Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements.Periodic classification only long form. Periodicity and electronic configuration. Atomic radii, Electro-negativity in period and groups.

2. Chemical Bonding, electro-valent, co-valent, coordinate covalent bonds. Bond Properties, sigma and Pie bonds, Shapes of simple molecules like water, hydrogen sulphide, methane and ammonium chloride. Molecular association and hydrogen bonding.

3. Energy changes in a chemical reaction. Exothermic and Endothermic Reactions. Application of First Law of Thermodynamics, Hess’s Law of constant heat summation.

4. Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier’s Principle). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.

5. Solutions : True solutions, colloidal solutions and suspensions. Colligative properties of dillute solutions and determination of Molecular weights of dissolved substances. Elevation of boiling points. Depressions of freezing point, osmotic pressure. Raoult’s law (non-thermodynamic treatment only).

6. Electro-Chemistry : Solution of Electrolytes, Faraday’s Laws of Electrolysis, ionic equilibria, Solubility product.

7. Oxidation – Reduction; Modern, electronics concept and oxidation number.

8. Natural and Artificial Radioactivity: Nuclear Fission and Fusion. Uses of Radioactive isotopes.

Inorganic Chemistry

Brief Treatment of Elements and their industrially important compounds :

1. Hydrogen : Position in the periodic table. Isotopes of hydrogen. Electronegative and electropositive character. Water, hard and soft water, use of water in industries, Heavy water and its uses.

2. Group I Elements: Manufacture of sodium hydroxide, sodium carbonate, sodium bicarbonate and sodium chloride.

3. Group II Elements: Quick and slaked lime. Gypsum, Plaster of Paris. Magnesium sulphate and Magnesia.

4. Group III Elements: Borax, Alumina and Alum.

5. Group IV Elements: Coals, Coke and solid Fuels, Silicates, Zolitis semi-conductors. Glass (Elementary treatment).

6. Group V Elements: Manufacture of ammonia and nitric acid. Rock Phosphates and safety matches.

7. Group VI Elements: Hydrogen peroxide, allotropy of sulphur, sulphuric acid. Oxides of sulphur.

8. Group VII Elements: Manufacture and uses of Fluorine, Chlorine, Bromine and Iodine, Hydrochloric acid. Bleaching powder.

9. Group (Noble gases) Helium and its uses.

10. Metallurgical Processes: General Methods of extraction of metals with specific reference to copper, iron, aluminium, silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.

Organic Chemistry

1. Tetrahedral nature of carbon, Hybridisation and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical isomerism.

2. General methods of preparation, properties and reaction of alkanes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel.

3. Aromatic hydrocarbons: Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.

4. Halogen derivatives: Chloroform, Carbon Tetrachloride, Chlorobenzene, D.D.T. and Gammexane.

5. Hydroxy Compounds: Preparation, properties and uses of Primary, Secondary and Tertiary alcohols, Methanol, Ethanol, Glycerol and Phenol, Substitution reaction at aliphatic carbon atom.

6. Ethers; Diethyl ether.

7. Aldehydes and ketones: Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, acetophenone.

8. Nitro compounds amines: Nitrobenzene TNT, Anlline, Diazonium Compounds, Azodyes.

9. Carboxylic acid: Formic, acetic, denezoic and salicylic acids, acetyl salicylic acid.

10. Esters: Ethylacerate, Methyl salicylates, ethylbenzoate.

11. Polymers: Polythene, Teflon, Perpex, Artificial Rubber, Nylon and polyester fibers.

12. Nonstructural treatment of Carbohydrates, Fats and Lipids, amino acids and proteins – Vitamins and hormones

Paper – III

Mathematics

1. Algebra :

Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping – examples, Binary operation on a set – examples.

Representation of real numbers on a line. Complex numbers: Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and vice-versa. Arithmetic, Geometric and Harmonic progressions. Summation of series involving A.P., G.P., and H.P.. Quadratic equations with real co-efficients. Quadratic expressions: extreme values. Permutation and Combination, Binomial theorem and its applications.

Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication – properties. Matrix multiplication – non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Co-factors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables-elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n less than equal to 3 are to be considered).

Idea of a Group, Order of a Group, Abelian group. Identitiy and inverse elements-Illustration by simple examples.

2. Trigonometry :

Addition and subtraction formulae, multiple and sub-multiple angles. Products and factoring formulae. Inverse trigonometric functions – Domains, Ranges and Graphs. DeMoivre’s theorem, expansion of Sin n0 and Cos n0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.

3. Analytic Geometry (two dimensions) :

Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y – condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two cricles. Standard equations of parabola, ellipse and hyperbola – parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.

4. Differential Calculus :

Concept of a real valued function – domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Rolle’s theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.

5. Integral Calculus and Differential equations :

Integral Calculus : Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals-determination of areas of plane regions bounded by curves – applications.

Differential equations: Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types – examples. Solution of second order homogeneous differential equation with constant co-efficients.

6. Vectors and its applications :

Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors – scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties. Vector product or cross product of two vectors – its properties, unit vector perpendicular to two given vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form – simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.

7. Statistics and probability :

Statistics: Frequency distribution, cumulative frequency distribution – examples. Graphical representation – Histogram, frequency polygon – examples. Measure of central tendency – mean, median and mode. Variance and standard deviation – determination and comparison. Correlation and regression.

Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability : classical and statistical – examples. Elementary theorems on probability – simple problems. Conditional probability, Bayes’ theorem – simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

8. Personality Test :

Each candidate will be interviewed by a Board who will have before them a record of his career both academic and extramural. They will be asked questions on matters of general interest. Special attention will be paid to assessing their potential qualities of leadership, initiative and intellectual curiosity, tact and other social qualities, mental and physical energy, power of practical application and integrity of character.

SCRA Exam Syllabus 2010
Paper I English
General Knowledge
Psychological Test
Paper II Physics
Chemistry
Paper III Mathematics

Paper – I

English :
The questions will be designed to test the candidates’ understanding and command of the language.

General Knowledge :

The questions will be designed to test a candidate’s general awareness of the environment around him and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.

Man and his environment

Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.

Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases.

Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control.

Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India.

Solar system and the earth, Seasons, Climate, Weather, Soil-its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India.

Distribution of natural resources and industries in India. Exploration of under-ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.

History, Politics and Society in India

Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora). The rise of new social forces with the coming of Islam and establishment of broader contacts.

Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.

Constitution of India and its characteristic features – Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government.

Major political ideologies-democracy, socialism, communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system.

India’s foreign policy and non-alignment-Arms race, balance of power. World organisation-political, social, economic and cultural. Important events (including sports and cultural activities) in India and abroad during the past two years.

Broad features of Indian social system: The caste system, hierarchy – recent changes and trends. Minority social institution – marriage, family, religion and acculturation.

Division of labour, co-operation, conflict and competition, Social control – reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control – family, religion, state educational institutions; factors of social change- economic, technological, demographic, cultural; the concept of revolution.

Social disorganisation in India – Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment.

Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and backward classes.

Money – Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and price stabilization, problem of resource mobilisation. India’s Five Year Plans.

Psychological Test :

The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.

Paper – II

Physics

Length measurements using vernier, screw gauge, spherometer and optical lever. Measurement of time and mass.

Straight line motion and relationships among displacement, velocity and acceleration.

Newton’s laws of motion, Momentum, impulse, work, energy and power.
Coefficient of friction.

Equilibrium of bodies under action of forces. Moment of a force, couple. Newton’s law of gravitation. Escape velocity. Acceleration due to gravity.

Mass and Weight; Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum.

Pressure in a fluid and its variation with depth. Pascal’s law. Principle of Archimedes. Floating bodies, Atmospheric pressure and its measurement.

Temperature and its measurement. Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes. Transmission of heat; thermal conductivity.

Wave motion; Longitudinal and transverse waves. Progressive and stationary waves, Velocity of sound in gas and its dependence on various factors. Resonance phenomena (air columns and strings).

Reflection and refraction of light. Image formation by curved mirrors and lenses, Microscopes and telescopes. Defects of vision.

Prisms, deviation and dispersion, Minimum deviation. Visible spectrum.

Field due to a bar magnet, Magnetic moment, Elements of Earth’s magnetic field. Magnetometers. Dia, para and ferromagnetism.

Electric charge, electric field and potential, Coulomb’s law.

Electric current; electric cells, e.m.f. resistance, ammeters and voltmeters. Ohm’s law; resistances in series and parallel, specific resistance and conductivity. Heating effect of current.

Wheatstone’s bridge, Potentiometer.

Magnetic effect of current; straight wire, coil and solenoid electromagnet; electric bell.

Force on a current-carrying conductor in magnetic field; moving coil galvanometers; conversion to ammeter or voltmeter.

Chemical effects of current; Primary and storage cells and their functioning, Laws of electrolysis.

Electromagnetic induction; Simple A.C. and D.C. generators. Transformers, Induction coil,

Cathode rays, discovery of the electron, Bohr model of the atom. Diode and its use as a rectifier.

Production, properties and uses of X-rays.

Radioactivity; Alpha, Beta and Gamma rays.

Nuclear energy; fission and fusion, conversion of mass into energy, chain reaction.

Chemistry

Physical Chemistry

1. Atomic structure; Earlier models in brief. Atom as at three dimensional model. Orbital concept. Quantum numbers and their significance, only elementary treatment.Pauli’s Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements.Periodic classification only long form. Periodicity and electronic configuration. Atomic radii, Electro-negativity in period and groups.

2. Chemical Bonding, electro-valent, co-valent, coordinate covalent bonds. Bond Properties, sigma and Pie bonds, Shapes of simple molecules like water, hydrogen sulphide, methane and ammonium chloride. Molecular association and hydrogen bonding.

3. Energy changes in a chemical reaction. Exothermic and Endothermic Reactions. Application of First Law of Thermodynamics, Hess’s Law of constant heat summation.

4. Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier’s Principle). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.

5. Solutions : True solutions, colloidal solutions and suspensions. Colligative properties of dillute solutions and determination of Molecular weights of dissolved substances. Elevation of boiling points. Depressions of freezing point, osmotic pressure. Raoult’s law (non-thermodynamic treatment only).

6. Electro-Chemistry : Solution of Electrolytes, Faraday’s Laws of Electrolysis, ionic equilibria, Solubility product.

7. Oxidation – Reduction; Modern, electronics concept and oxidation number.

8. Natural and Artificial Radioactivity: Nuclear Fission and Fusion. Uses of Radioactive isotopes.

Inorganic Chemistry

Brief Treatment of Elements and their industrially important compounds :

1. Hydrogen : Position in the periodic table. Isotopes of hydrogen. Electronegative and electropositive character. Water, hard and soft water, use of water in industries, Heavy water and its uses.

2. Group I Elements: Manufacture of sodium hydroxide, sodium carbonate, sodium bicarbonate and sodium chloride.

3. Group II Elements: Quick and slaked lime. Gypsum, Plaster of Paris. Magnesium sulphate and Magnesia.

4. Group III Elements: Borax, Alumina and Alum.

5. Group IV Elements: Coals, Coke and solid Fuels, Silicates, Zolitis semi-conductors. Glass (Elementary treatment).

6. Group V Elements: Manufacture of ammonia and nitric acid. Rock Phosphates and safety matches.

7. Group VI Elements: Hydrogen peroxide, allotropy of sulphur, sulphuric acid. Oxides of sulphur.

8. Group VII Elements: Manufacture and uses of Fluorine, Chlorine, Bromine and Iodine, Hydrochloric acid. Bleaching powder.

9. Group (Noble gases) Helium and its uses.

10. Metallurgical Processes: General Methods of extraction of metals with specific reference to copper, iron, aluminium, silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.

Organic Chemistry

1. Tetrahedral nature of carbon, Hybridisation and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical isomerism.

2. General methods of preparation, properties and reaction of alkanes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel.

3. Aromatic hydrocarbons: Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.

4. Halogen derivatives: Chloroform, Carbon Tetrachloride, Chlorobenzene, D.D.T. and Gammexane.

5. Hydroxy Compounds: Preparation, properties and uses of Primary, Secondary and Tertiary alcohols, Methanol, Ethanol, Glycerol and Phenol, Substitution reaction at aliphatic carbon atom.

6. Ethers; Diethyl ether.

7. Aldehydes and ketones: Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, acetophenone.

8. Nitro compounds amines: Nitrobenzene TNT, Anlline, Diazonium Compounds, Azodyes.

9. Carboxylic acid: Formic, acetic, denezoic and salicylic acids, acetyl salicylic acid.

10. Esters: Ethylacerate, Methyl salicylates, ethylbenzoate.

11. Polymers: Polythene, Teflon, Perpex, Artificial Rubber, Nylon and polyester fibers.

12. Nonstructural treatment of Carbohydrates, Fats and Lipids, amino acids and proteins – Vitamins and hormones

Paper – III

Mathematics

1. Algebra :

Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping – examples, Binary operation on a set – examples.

Representation of real numbers on a line. Complex numbers: Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and vice-versa. Arithmetic, Geometric and Harmonic progressions. Summation of series involving A.P., G.P., and H.P.. Quadratic equations with real co-efficients. Quadratic expressions: extreme values. Permutation and Combination, Binomial theorem and its applications.

Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication – properties. Matrix multiplication – non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Co-factors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables-elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n less than equal to 3 are to be considered).

Idea of a Group, Order of a Group, Abelian group. Identitiy and inverse elements-Illustration by simple examples.

2. Trigonometry :

Addition and subtraction formulae, multiple and sub-multiple angles. Products and factoring formulae. Inverse trigonometric functions – Domains, Ranges and Graphs. DeMoivre’s theorem, expansion of Sin n0 and Cos n0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.

3. Analytic Geometry (two dimensions) :

Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y – condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two cricles. Standard equations of parabola, ellipse and hyperbola – parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.

4. Differential Calculus :

Concept of a real valued function – domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Rolle’s theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.

5. Integral Calculus and Differential equations :

Integral Calculus : Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals-determination of areas of plane regions bounded by curves – applications.

Differential equations: Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types – examples. Solution of second order homogeneous differential equation with constant co-efficients.

6. Vectors and its applications :

Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors – scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties. Vector product or cross product of two vectors – its properties, unit vector perpendicular to two given vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form – simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.

7. Statistics and probability :

Statistics: Frequency distribution, cumulative frequency distribution – examples. Graphical representation – Histogram, frequency polygon – examples. Measure of central tendency – mean, median and mode. Variance and standard deviation – determination and comparison. Correlation and regression.

Probability: Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability : classical and statistical – examples. Elementary theorems on probability – simple problems. Conditional probability, Bayes’ theorem – simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

8. Personality Test :

Each candidate will be interviewed by a Board who will have before them a record of his career both academic and extramural. They will be asked questions on matters of general interest. Special attention will be paid to assessing their potential qualities of leadership, initiative and intellectual curiosity, tact and other social qualities, mental and physical energy, power of practical application and integrity of character.

Syllabus of Paper I for SCRA Examination

1. English:
The questions will be designed to test the candidates' understanding and command of the language.

2. General Knowledge:
The questions will be designed to test a candidate's general awareness of the environment around him and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.

Man and his environment
Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.

Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases. Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control. Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India. ]

Solar system and the earth, Seasons, Climate, Weather, Soil-its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India. Distribution of natural resources and industries in India. Exploration of under-ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.

History, Politics and Society in India
Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora). The rise of new social forces with the coming of Islam and establishment of broader contacts. Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.

Constitution of India and its characteristic features
Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government. Major political ideologies-democracy, socialism, communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system.

India'S Foreign Policy And Non-alignment
Arms race, balance of power. World organisation-political, social, economic and cultural. Important events (including sports and cultural activities) in India and abroad during the past two years.

Broad Features Of Indian Social System
The caste system, hierarchy - recent changes and trends. Minority social institution - marriage, family, religion and acculturation.

Division of labour, co-operation, conflict and competition, Social control - reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control - family, religion, state educational institutions; factors of social change- economic, technological, demographic, cultural; the concept of revolution.

Social Disorganisation In India
Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment.

Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and backward classes.

Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and price stabilization, problem of resource mobilisation. India's Five Year Plans.

3.Psychological Test
The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.
ALL THE BEST

Syllabus for Special Class Railway Apprentices(SCRA)

*It consists of Three Paper

Paper I

English

-->Spotting Errors

-->Selecting Words

-->Ordering of Works

-->Completing Statement

-->Closet Test

-->Idioms and Phrases

-->Comprehension

-->Synonyms and Antonyms

-->Sentence Formation, Sentence Correction,Change of Speech , Change of Voice all comes under English Section

General knowledge

-->Man and His Environment (Life,Science, Climate,Religion, Season,Food, Volcanic Eruption,Floods,Earth,Solar System Etc....

-->History

--> Politics and Society in India

-->Constitution of India

Psychological Test

-->Basic Intelligence and Mechanical Aptitude(Problems on Train,Time and Work,Profit and Loss,Problems on Ages ,Average,Alligation,Time and Distance,Simple Interest,Problems on Numbers,Ratio and Proportion Etc....)

Paper II

-->Physics

-->Chemistry

(You need to concentrate on 11th and 12th Portion for Exam,All will be coming from this portion only,Go through Each and Every Topic)

-->There is lot of Topic in this Section so i have attached the Syllabus

Paper III

Mathematic

(you need to concentrate on 11th and 12th portion for Mathematic also, Work out more and more problem, they only you can get the Idea and Short Cuts)

-->Algebra and Matrixes

-->Trigonometry and Analytical Ability

-->Integral Calculus and Differential Equations

-->Vectors and Statistics/Probability

General Information

-->Written Exam Carries the Maximum of 600 Marks

-->Those who have Qualified in the Written Exam are Called for the Presonality Test Maximum of 200 Marks

Uploads

-->Syllabus

All the Best

dear friends,

Paper-1

(i) English
The questions will be designed to test the candidates’ understanding and command of the language.

(ii) General Knowledge
The questions will be designed to test a candidate’s general awareness of the environment around him and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.
Man and his environment
Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.
Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases. Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control. Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India.
Solar system and the earth, Seasons, Climate, Weather, Soil-its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India. Distribution of natural resources and industries in India. Exploration of under-ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.

History, Politics and Society in India
Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora). The rise of new social forces with the coming of Islam and establishment of broader contacts. Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.
Constitution of India and its characteristic features – Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government. Major political ideologies-democracy, socialism, communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system.
India’s foreign policy and non-alignment-Arms race, balance of power. World organisation-political, social, economic and cultural. Important events (including sports and cultural activities) in India and abroad during the past two years.
Broad features of Indian social system: The caste system, hierarchy – recent changes and trends. Minority social institution – marriage, family, religion and acculturation.
Division of labour, co-operation, conflict and competition, Social control – reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control – family, religion, state educational institutions; factors of social change- economic, technological, demographic, cultural; the concept of revolution.
Social disorganisation in India – Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment.
Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and backward classes.
Money – Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and
price stabilization, problem of resource mobilisation. India’s Five Year Plans.

(iii) Psychological Test
The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.

Paper-II


(i) Physics
Length measurements using vernier, screw gauge, spherometer and optical lever. Measurement of time and mass.
Straight line motion and relationships among displacement, velocity and acceleration.
Newton’s laws of motion, Momentum, impulse, work, energy and power.
Coefficient of friction.
Equilibrium of bodies under action of forces. Moment of a force, couple. Newton’s law of gravitation. Escape velocity. Acceleration due to gravity.
Mass and Weight; Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum.
Pressure in a fluid and its variation with depth. Pascal’s law. Principle of Archimedes. Floating bodies, Atmospheric pressure and its measurement.
Temperature and its measurement. Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes. Transmission of heat; thermal conductivity.
Wave motion; Longitudinal and transverse waves. Progressive and stationary waves, Velocity of sound in gas and its dependence on various factors. Resonance phenomena (air columns and strings).
Reflection and refraction of light. Image formation by curved mirrors and lenses, Microscopes and telescopes. Defects of vision.
Prisms, deviation and dispersion, Minimum deviation. Visible spectrum.
Field due to a bar magnet, Magnetic moment, Elements of Earth’s magnetic field. Magnetometers. Dia, para and ferromagnetism.
Electric charge, electric field and potential, Coulomb’s law.
Electric current; electric cells, e.m.f. resistance, ammeters and voltmeters. Ohm’s law; resistances in series and parallel, specific resistance and conductivity. Heating effect of current.
Wheatstone’s bridge, Potentiometer.
Magnetic effect of current; straight wire, coil and solenoid electromagnet; electric bell.
Force on a current-carrying conductor in magnetic field; moving coil galvanometers; conversion to ammeter or voltmeter.
Chemical effects of current; Primary and storage cells and their functioning, Laws of electrolysis.
Electromagnetic induction; Simple A.C. and D.C. generators. Transformers, Induction coil,
Cathode rays, discovery of the electron, Bohr model of the atom. Diode and its use as a rectifier.
Production, properties and uses of X-rays.
Radioactivity; Alpha, Beta and Gamma rays.
Nuclear energy; fission and fusion, conversion of mass into energy, chain reaction.

(ii) Chemistry
Physical Chemistry
1. Atomic structure; Earlier models in brief. Atom as at three dimensional model. Orbital concept. Quantum numbers and their significance, only elementary treatment.
Pauli’s Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements.
Periodic classification only long form. Periodicity and electronic configuration. Atomic radii, Electro-negativity in period and groups.
2. Chemical Bonding, electro-valent, co-valent, coordinate covalent bonds. Bond Properties, sigma and Pie bonds, Shapes of simple molecules like water, hydrogen sulphide, methane and ammonium chloride. Molecular association and hydrogen bonding.
3. Energy changes in a chemical reaction. Exothermic and Endothermic Reactions. Application of First Law of Thermodynamics, Hess’s Law of constant heat summation.
4. Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier’s Principle). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.
5. Solutions : True solutions, colloidal solutions and suspensions. Colligative properties of dillute solutions and determination of Molecular weights of dissolved substances. Elevation of boiling points. Depressions of freezing point, osmotic pressure. Raoult’s law (non-thermodynamic treatment only).
6. Electro-Chemistry : Solution of Electrolytes, Faraday’s Laws of Electrolysis, ionic equilibria, Solubility product.
Strong and weak electrolytes. Acids and Bases (Lewis and Bronstead concept). pH and Buffer solutions.
7. Oxidation – Reduction; Modern, electronics concept and oxidation number.
8. Natural and Artificial Radioactivity: Nuclear Fission and Fusion. Uses of Radioactive isotopes.

Inorganic Chemistry
Brief Treatment of Elements and their industrially important compounds :
1. Hydrogen : Position in the periodic table. Isotopes of hydrogen. Electronegative and electropositive character. Water, hard and soft water, use of water in industries, Heavy water and its uses.
2. Group I Elements : Manufacture of sodium hydroxide, sodium carbonate, sodium bicarbonate and sodium chloride.
3. Group II Elements : Quick and slaked lime. Gypsum, Plaster of Paris. Magnesium sulphate and Magnesia.
4. Group III Elements: Borax, Alumina and Alum.
5. Group IV Elements : Coals, Coke and solid Fuels, Silicates, Zolitis semi-conductors. Glass (Elementary treatment).
6. Group V Elements. Manufacture of ammonia and nitric acid. Rock Phosphates and safety matches.
7. Group VI Elements. Hydrogen peroxide, allotropy of sulphur, sulphuric acid. Oxides of sulphur.
8. Group VII Elements. Manufacture and uses of Fluorine, Chlorine, Bromine and Iodine, Hydrochloric acid. Bleaching powder.
9. Group O. (Noble gases) Helium and its uses.
10. Metallurgical Processes : General Methods of extraction of metals with specific reference to copper, iron, aluminium, silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.

Organic Chemistry
1. Tetrahedral nature of carbon, Hybridisation and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical isomerism.
2. General methods of preparation, properties and reaction of alkanes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel.
Aromatic hydrocarbons : Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.
3. Halogen derivatives : Chloroform, Carbon Tetrachloride, Chlorobenzene, D.D.T. and Gammexane.
4. Hydroxy Compounds : Preparation, properties and uses of Primary, Secondary and Tertiary alcohols, Methanol, Ethanol, Glycerol and Phenol, Substitution reaction at aliphatic carbon atom.
5. Ethers; Diethyl ether.
6. Aldehydes and ketones : Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, acetophenone.
7. Nitro compounds amines: Nitrobenzene TNT, Anlline, Diazonium Compounds, Azodyes.
8. Carboxylic acid : Formic, acetic, denezoic and salicylic acids, acetyl salicylic acid.
9. Esters : Ethylacerate, Methyl salicylates, ethylbenzoate.
10. Polymers : Polythene, Teflon, Perpex, Artificial Rubber, Nylon and polyester fibers.
11. Nonstructural treatment of Carbohydrates, Fats and Lipids, amino acids and proteins –

Paper-III

Mathematics

1. Algebra:
Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping – examples, Binary operation on a set – examples.

Representation of real numbers on a line. Complex numbers: Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and vice-versa. Arithmetic, Geometric and Harmonic progressions. Summation of series involving A.P., G.P., and H.P.. Quadratic equations with real co-efficients. Quadratic expressions: extreme values. Permutation and Combination, Binomial theorem and its applications.

Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication – properties. Matrix multiplication – non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Co-factors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables-elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n less than equal to 3 are to be considered).

Idea of a Group, Order of a Group, Abelian group. Identitiy and inverse elements-Illustration by simple examples.

2. Trigonometry:
Addition and subtraction formulae, multiple and sub-multiple angles. Products and factoring formulae. Inverse trigonometric functions – Domains, Ranges and Graphs. DeMoivre’s theorem, expansion of Sin n 0 and Cos n 0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.

3. Analytic Geometry (two dimensions)
Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y – condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two cricles. Standard equations of parabola, ellipse and hyperbola – parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.

4. Differential Calculus
Concept of a real valued function – domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Rolle’s theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.

5. Integral Calculus and Differential equations:
Integral Calculus : Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals-determination of areas of plane regions bounded by curves- applications.

Differential equations : Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types – examples. Solution of second order homogeneous differential equation with constant co-efficients.

6. Vectors and its applications:
Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors – scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties. Vector product or cross product of two vectors – its properties, unit vector perpendicular to two given vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form – simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.

7. Statistics and probability:
Statistics : Frequency distribution, cumulative frequency distribution – examples. Graphical representation – Histogram, frequency polygon – examples. Measure of central tendency – mean, median and mode. Variance and standard deviation – determination and comparison. Correlation and regression.

Probability : Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability : classical and statistical – examples. Elementary theorems on probability – simple problems. Conditional probability, Bayes’ theorem – simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

best of luck..................

UPSC Syllabus for SCRA Exam:
Paper-1
(i) English
The questions will be designed to test the candidates’ understanding and command of the language.

(ii) General Knowledge
The questions will be designed to test a candidate’s general awareness of the environment around him and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.
Man and his environment
Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.
Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases. Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control. Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India.
Solar system and the earth, Seasons, Climate, Weather, Soil-its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India. Distribution of natural resources and industries in India. Exploration of under-ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.
History, Politics and Society in India
Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora). The rise of new social forces with the coming of Islam and establishment of broader contacts. Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.
Constitution of India and its characteristic features – Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government. Major political ideologies-democracy, socialism, communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system.
India’s foreign policy and non-alignment-Arms race, balance of power. World organisation-political, social, economic and cultural. Important events (including sports and cultural activities) in India and abroad during the past two years.
Broad features of Indian social system: The caste system, hierarchy – recent changes and trends. Minority social institution – marriage, family, religion and acculturation.
Division of labour, co-operation, conflict and competition, Social control – reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control – family, religion, state educational institutions; factors of social change- economic, technological, demographic, cultural; the concept of revolution.
Social disorganisation in India – Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment.
Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and backward classes.
Money – Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and
stabilization, problem of resource mobilization. India’s Five Year Plans.

(iii) Psychological Test
The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.

Paper-II

(i) Physics
Length measurements using vernier, screw gauge, spherometer and optical lever. Measurement of time and mass.
Straight line motion and relationships among displacement, velocity and acceleration.
Newton’s laws of motion, Momentum, impulse, work, energy and power.
Coefficient of friction.
Equilibrium of bodies under action of forces. Moment of a force, couple. Newton’s law of gravitation. Escape velocity. Acceleration due to gravity.
Mass and Weight; Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum.
Pressure in a fluid and its variation with depth. Pascal’s law. Principle of Archimedes. Floating bodies, Atmospheric pressure and its measurement.
Temperature and its measurement. Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes. Transmission of heat; thermal conductivity.
Wave motion; Longitudinal and transverse waves. Progressive and stationary waves, Velocity of sound in gas and its dependence on various factors. Resonance phenomena (air columns and strings).
Reflection and refraction of light. Image formation by curved mirrors and lenses, Microscopes and telescopes. Defects of vision.
Prisms, deviation and dispersion, Minimum deviation. Visible spectrum.
Field due to a bar magnet, Magnetic moment, Elements of Earth’s magnetic field. Magnetometers. Dia, para and ferromagnetism.
Electric charge, electric field and potential, Coulomb’s law.
Electric current; electric cells, e.m.f. resistance, ammeters and voltmeters. Ohm’s law; resistances in series and parallel, specific resistance and conductivity. Heating effect of current.
Wheatstone’s bridge, Potentiometer.
Magnetic effect of current; straight wire, coil and solenoid electromagnet; electric bell.
Force on a current-carrying conductor in magnetic field; moving coil galvanometers; conversion to ammeter or voltmeter.
Chemical effects of current; Primary and storage cells and their functioning, Laws of electrolysis.
Electromagnetic induction; Simple A.C. and D.C. generators. Transformers, Induction coil,
Cathode rays, discovery of the electron, Bohr model of the atom. Diode and its use as a rectifier.
Production, properties and uses of X-rays.
Radioactivity; Alpha, Beta and Gamma rays.
Nuclear energy; fission and fusion, conversion of mass into energy, chain reaction.

(ii) Chemistry

Physical Chemistry
1.Atomic structure; Earlier models in brief. Atom as at three dimensional model. Orbital concept. Quantum numbers and their significance, only elementary treatment.
Pauli’s Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements.
Periodic classification only long form. Periodicity and electronic configuration. Atomic radii, Electro-negativity in period and groups.
2.Chemical Bonding, electro-valent, co-valent, coordinate covalent bonds. Bond Properties, sigma and Pie bonds, Shapes of simple molecules like water, hydrogen sulphide, methane and ammonium chloride. Molecular association and hydrogen bonding.
3.Energy changes in a chemical reaction. Exothermic and Endothermic Reactions. Application of First Law of Thermodynamics, Hess’s Law of constant heat summation.
4.Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier’s Principle). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.
5.Solutions : True solutions, colloidal solutions and suspensions. Colligative properties of dillute solutions and determination of Molecular weights of dissolved substances. Elevation of boiling points. Depressions of freezing point, osmotic pressure. Raoult’s law (non-thermodynamic treatment only).
6.Electro-Chemistry : Solution of Electrolytes, Faraday’s Laws of Electrolysis, ionic equilibria, Solubility product.
Strong and weak electrolytes. Acids and Bases (Lewis and Bronstead concept). pH and Buffer solutions.
7.Oxidation – Reduction; Modern, electronics concept and oxidation number.
8.Natural and Artificial Radioactivity: Nuclear Fission and Fusion. Uses of Radioactive isotopes.

Inorganic Chemistry
Brief Treatment of Elements and their industrially important compounds :
1.Hydrogen : Position in the periodic table. Isotopes of hydrogen. Electronegative and electropositive character. Water, hard and soft water, use of water in industries, Heavy water and its uses.
2.Group I Elements : Manufacture of sodium hydroxide, sodium carbonate, sodium bicarbonate and sodium chloride.
3.Group II Elements : Quick and slaked lime. Gypsum, Plaster of Paris. Magnesium sulphate and Magnesia.
4.Group III Elements: Borax, Alumina and Alum.
5.Group IV Elements : Coals, Coke and solid Fuels, Silicates, Zolitis semi-conductors. Glass (Elementary treatment).
6.Group V Elements. Manufacture of ammonia and nitric acid. Rock Phosphates and safety matches.
7.Group VI Elements. Hydrogen peroxide, allotropy of sulphur, sulphuric acid. Oxides of sulphur.
8.Group VII Elements. Manufacture and uses of Fluorine, Chlorine, Bromine and Iodine, Hydrochloric acid. Bleaching powder.
9.Group O. (Noble gases) Helium and its uses.
10.Metallurgical Processes : General Methods of extraction of metals with specific reference to copper, iron, aluminium, silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.
Organic Chemistry
1.Tetrahedral nature of carbon, Hybridisation and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical isomerism.
2.General methods of preparation, properties and reaction of alkanes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel.
Aromatic hydrocarbons : Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.
3.Halogen derivatives : Chloroform, Carbon Tetrachloride, Chlorobenzene, D.D.T. and Gammexane.
4.Hydroxy Compounds : Preparation, properties and uses of Primary, Secondary and Tertiary alcohols, Methanol, Ethanol, Glycerol and Phenol, Substitution reaction at aliphatic carbon atom.
5.Ethers; Diethyl ether.
6.Aldehydes and ketones : Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, acetophenone.
7.Nitro compounds amines: Nitrobenzene TNT, Anlline, Diazonium Compounds, Azodyes.
8.Carboxylic acid : Formic, acetic, denezoic and salicylic acids, acetyl salicylic acid.
9.Esters : Ethylacerate, Methyl salicylates, ethylbenzoate.
10.Polymers : Polythene, Teflon, Perpex, Artificial Rubber, Nylon and polyester fibers.
11. Nonstructural treatment of Carbohydrates, Fats and Lipids, amino acids and proteins –

Paper-III
Mathematics
1.Algebra:
Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping – examples, Binary operation on a set – examples.
Representation of real numbers on a line. Complex numbers: Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and vice-versa. Arithmetic, Geometric and Harmonic progressions. Summation of series involving A.P., G.P., and H.P.. Quadratic equations with real co-efficients. Quadratic expressions: extreme values. Permutation and Combination, Binomial theorem and its applications.
Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication – properties. Matrix multiplication – non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Co-factors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables-elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n less than equal to 3 are to be considered).
Idea of a Group, Order of a Group, Abelian group. Identitiy and inverse elements-Illustration by simple examples.
2.Trigonometry:
Addition and subtraction formulae, multiple and sub-multiple angles. Products and factoring formulae. Inverse trigonometric functions – Domains, Ranges and Graphs. DeMoivre’s theorem, expansion of Sin n 0 and Cos n 0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.
3.Analytic Geometry (two dimensions)
Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y – condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two cricles. Standard equations of parabola, ellipse and hyperbola – parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.
4.Differential Calculus
Concept of a real valued function – domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits – examples. Continuity of functions – examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative – applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Rolle’s theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.
5.Integral Calculus and Differential equations:
Integral Calculus : Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals-determination of areas of plane regions bounded by curves- applications.
Differential equations : Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types – examples. Solution of second order homogeneous differential equation with constant co-efficients.
6.Vectors and its applications:
Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors – scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties. Vector product or cross product of two vectors – its properties, unit vector perpendicular to two given vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form – simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.
7.Statistics and probability:
Statistics : Frequency distribution, cumulative frequency distribution – examples. Graphical representation – Histogram, frequency polygon – examples. Measure of central tendency – mean, median and mode. Variance and standard deviation – determination and comparison. Correlation and regression.
Probability : Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events. Definition of probability : classical and statistical – examples. Elementary theorems on probability – simple problems. Conditional probability, Bayes’ theorem – simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binomial distribution.

the examination comprises both written test followed by interview The standard of syllabus is that of Class XII (CBSE equivalent)
refer this link for the detailed syllabus of each and every subject
http://www.coachingindians.com/upsc-...-syllabus.html
http://www.coachingindians.com/upsc-exam/SCRA-syllabus.html . click the link in blue

hope helpful

Hi,

Syllabus for SCRA entrance exam is attached here download it and prepare.


Best of luck.

Syllabus of Paper I for SCRA Examination

1. English
The questions will be designed to test the candidates' understanding and command of the language.

2. General Knowledge
The questions will be designed to test a candidate's general awareness of the environment around him and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.

Man and his environment
Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.

Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases. Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control. Production of food and raw materials. Breeding of animals and plants, artificial insemination, manures and fertilizers, crop protection measures, high yielding varieties and green revolution, main cereal and cash crops of India. ]

Solar system and the earth, Seasons, Climate, Weather, Soil-its formation, erosion. Forests and their uses. Natural calamities cyclones, floods, earthquakes, volcanic eruptions. Mountains and rivers and their role in irrigation in India. Distribution of natural resources and industries in India. Exploration of under-ground minerals including Oil Conservation of natural resources with particular reference to the flora and fauna of India.

History, Politics and Society in India
Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora). The rise of new social forces with the coming of Islam and establishment of broader contacts. Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India. Rise of nationalism and national struggle for freedom culminating in Independence.

Constitution of India and its characteristic features
Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government. Major political ideologies-democracy, socialism, communism and Gandhian idea of non-violence. Indian political parties, pressure groups, public opinion and the press, electoral system.

India'S Foreign Policy And Non-alignment
Arms race, balance of power. World organisation-political, social, economic and cultural. Important events (including sports and cultural activities) in India and abroad during the past two years.

Broad Features Of Indian Social System
The caste system, hierarchy - recent changes and trends. Minority social institution - marriage, family, religion and acculturation.

Division of labour, co-operation, conflict and competition, Social control - reward and punishment, art, law, customs, propaganda, public opinion, agencies of social control - family, religion, state educational institutions; factors of social change- economic, technological, demographic, cultural; the concept of revolution.

Social Disorganisation In India
Casteism, communalism, corruption in public life, youth unrest, beggary, drugs, delinquency and crime, poverty and unemployment.

Social planning and welfare in India, community development and labour welfare; welfare of Scheduled Castes and backward classes.

Taxation, price, demographic trends, national income, economic growth. Private and Public Sectors; economic and non-economic factors in planning, balanced versus imbalanced growth, agricultural versus industrial development; inflation and price stabilization, problem of resource mobilisation. India's Five Year Plans.

3.Psychological Test
The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.




Syllabus of Paper II for SCRA Examination
1. Physics
Length measurements using vernier, screw gauge, spherometer and optical lever. Measurement of time and mass.

Straight line motion and relationships among displacement, velocity and acceleration. Newton's laws of motion, Momentum, impulse, work, energy and power.

Coefficient Of Friction
Equilibrium of bodies under action of forces. Moment of a force, couple. Newton's law of gravitation. Escape velocity. Acceleration due to gravity.

Mass and Weight
Centre of gravity, Uniform circular motion, centripetal force, simple Harmonic motion. Simple pendulum.

Pressure In A Fluid And Its Variation With Depth
Pascal's law. Principle of Archimedes. Floating bodies,
Atmospheric pressure and its measurement

Temperature And Its Measurement
Thermal expansion, Gas laws and absolute temperature. Specific heat, latent heats and their measurement. Specific heat of gases. Mechanical equivalent of heat. Internal energy and First law of thermodynamics, Isothermal and adiabatic changes. Transmission of heat; thermal conductivity.

Wave Motion
Longitudinal and transverse waves. Progressive and stationary waves, Velocity of sound in gas and its dependence on various factors. Resonance phenomena (air columns and strings).

Reflection and refraction of light
Image formation by curved mirrors and lenses, Microscopes and telescopes. Defects of vision. Prisms, deviation and dispersion, Minimum deviation. Visible spectrum.

Magnetism
Field due to a bar magnet, Magnetic moment, Elements of Earth's magnetic field. Magnetometers. Dia, para and ferromagnetism.

Electric charge
electric field and potential, Coulomb's law.

Electric Current
electric cells, e.m.f. resistance, ammeters and voltmeters. Ohm's law; resistances in series and parallel, specific resistance and conductivity. Heating effect of current.

Wheatstone's bridge, Potentiometer.
Magnetic effect of current; straight wire, coil and solenoid electromagnet; electric bell.

Force on a current-carrying conductor in magnetic field
moving coil galvanometers; conversion to ammeter or voltmeter.

Chemical Effects Of Current
Primary and storage cells and their functioning, Laws of electrolysis.

Electromagnetic Induction
Simple A.C. and D.C. generators. Transformers, Induction coil, Cathode rays, discovery of the electron, Bohr model of the atom. Diode and its use as a rectifier.

X-RAYS
Production, properties and uses of X-rays. Radioactivity; Alpha, Beta and Gamma rays. Nuclear energy; fission and fusion, conversion of mass into energy, chain reaction.

2. Chemistry

Physical Chemistry
1. Atomic structure; Earlier models in brief. Atom as at three dimensional model. Orbital concept. Quantum numbers and their significance, only elementary treatment. Pauli's Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements.

Periodic classification only long form. Periodicity and electronic configuration. Atomic radii, Electro-negativity in period and groups.

2. Chemical Bonding, electro-valent, co-valent, coordinate covalent bonds. Bond Properties, sigma and Pie bonds, Shapes of simple molecules like water, hydrogen sulphide, methane and ammonium chloride. Molecular association and hydrogen bonding.

3. Energy changes in a chemical reaction Exothermic and Endothermic Reactions. Application of First Law of Thermodynamics, Hess's Law of constant heat summation.

4. Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier's Principle). Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.

5. Solutions: True solutions, colloidal solutions and suspensions. Colligative properties of dillute solutions and determination of Molecular weights of dissolved substances. Elevation of boiling points. Depressions of freezing point, osmotic pressure. Raoult's law (non-thermodynamic treatment only).

6. Electro-Chemistry : Solution of Electrolytes, Faraday's Laws of Electrolysis, ionic equilibria, Solubility product.

Strong and weak electrolytes. Acids and Bases (Lewis and Bronstead concept). pH and Buffer solutions.

7. Oxidation:Reduction; Modern, electronics concept and oxidation number.

8. Natural and Artificial Radioactivity: Nuclear Fission and Fusion. Uses of Radioactive isotopes.

Inorganic Chemistry
Brief Treatment of Elements and their industrially important compounds :

1. Hydrogen : Position in the periodic table. Isotopes of hydrogen. Electronegative and electropositive character. Water, hard and soft water, use of water in industries, Heavy water and its uses.

2. Group I Elements : Manufacture of sodium hydroxide, sodium carbonate, sodium bicarbonate and sodium chloride.

3. Group II Elements : Quick and slaked lime. Gypsum, Plaster of Paris. Magnesium sulphate and Magnesia.

4. Group III Elements: Borax, Alumina and Alum.

5. Group IV Elements : Coals, Coke and solid Fuels, Silicates, Zolitis semi-conductors. Glass (Elementary treatment).

6. Group V Elements. Manufacture of ammonia and nitric acid. Rock Phosphates and safety matches.

7. Group VI Elements. Hydrogen peroxide, allotropy of sulphur, sulphuric acid. Oxides of sulphur.

8. Group VII Elements. Manufacture and uses of Fluorine, Chlorine, Bromine and Iodine, Hydrochloric acid. Bleaching powder.

9. Group O. (Noble gases) Helium and its uses.

10. Metallurgical Processes : General Methods of extraction of metals with specific reference to copper, iron, aluminium, silver, gold, zinc and lead. Common alloys of these metals; Nickel and manganese steels.

Organic Chemistry
1. Tetrahedral nature of carbon, Hybridisation and sigma pie bonds and their relative strength. Single and multiple bonds. Shapes of molecules. Geometrical and optical isomerism.

2. General methods of preparation, properties and reaction of alkanes, alkenes and alkynes, Petroleum and its refining. Its uses as fuel.

Aromatic hydrocarbons : Resonance and aromaticity. Benzene and Naphthalene and their analogues. Aromatic substitution reactions.

3. Halogen derivatives : Chloroform, Carbon Tetrachloride, Chlorobenzene, D.D.T. and Gammexane.

4. Hydroxy Compounds : Preparation, properties and uses of Primary, Secondary and Tertiary alcohols, Methanol, Ethanol, Glycerol and Phenol, Substitution reaction at aliphatic carbon atom.

5. Ethers; Diethyl ether.

6. Aldehydes and ketones : Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, acetophenone.

7. Nitro compounds amines: Nitrobenzene TNT, Anlline, Diazonium Compounds, Azodyes.

8. Carboxylic acid : Formic, acetic, denezoic and salicylic acids, acetyl salicylic acid.

9. Esters : Ethylacerate, Methyl salicylates, ethylbenzoate.

10. Polymers : Polythene, Teflon, Perpex, Artificial Rubber, Nylon and polyester fibers.

11. Nonstructural treatment of Carbohydrates, Fats and Lipids, amino acids and proteins - Vitamins and hormones.




Syllabus of Paper-III for SCRA Examination
Mathematics
1. Algebra:
Concept of a set, Union and Intersection of sets, Complement of a set, Null set, Universal set and Power set, Venn diagrams and simple applications. Cartesian product of two sets, relation and mapping - examples, Binary operation on a set - examples.

Representation of real numbers on a line.

Complex numbers: Modulus, Argument, Algebraic operations on complex numbers. Cube roots of unity. Binary system of numbers, Conversion of a decimal number to a binary number and vice-versa. Arithmetic, Geometric and Harmonic progressions.

Summation of series involving A.P., G.P., and H.P.. Quadratic equations with real co-efficients.

Quadratic expressions: extreme values. Permutation and Combination, Binomial theorem and its applications.

Matrices and Determinants: Types of matrices, equality, matrix addition and scalar multiplication - properties. Matrix multiplication - non-commutative and distributive property over addition. Transpose of a matrix, Determinant of a matrix. Minors and Co-factors. Properties of determinants. Singular and non-singular matrices. Adjoint and Inverse of a square-matrix, Solution of a system of linear equations in two and three variables-elimination method, Cramers rule and Matrix inversion method (Matrices with m rows and n columns where m, n less than equal to 3 are to be considered).

Idea of a Group, Order of a Group, Abelian group. Identitiy and inverse elements-Illustration by simple examples.

2. Trigonometry:
Addition and subtraction formulae, multiple and sub-multiple angles. Products and factoring formulae. Inverse trigonometric functions - Domains, Ranges and Graphs. DeMoivre's theorem, expansion of Sin n 0 and Cos n 0 in a series of multiples of Sines and Cosines. Solution of simple trigonometric equations. Applications: Heights and Distance.

3. Analytic Geometry (two dimensions):
Rectangular Cartesian. Coordinate system, distance between two points, equation of a straight line in various forms, angle between two lines, distance of a point from a line. Transformation of axes. Pair of straight lines, general equation of second degree in x and y - condition to represent a pair of straight lines, point of intersection, angle between two lines. Equation of a circle in standard and in general form, equations of tangent and normal at a point, orthogonality of two cricles. Standard equations of parabola, ellipse and hyperbola - parametric equations, equations of tangent and normal at a point in both cartesian and parametric forms.

4. Differential Calculus:
Concept of a real valued function - domain, range and graph. Composite functions, one to one, onto and inverse functions, algebra of real functions, examples of polynomial, rational, trigonometric, exponential and logarithmic functions. Notion of limit, Standard limits - examples. Continuity of functions - examples, algebraic operations on continuous functions. Derivative of a function at a point, geometrical and physical interpretation of a derivative - applications. Derivative of sum, product and quotient of functions, derivative of a function with respect to another function, derivative of a composite function, chain rule. Second order derivatives. Rolle's theorem (statement only), increasing and decreasing functions. Application of derivatives in problems of maxima, minima, greatest and least values of a function.

5. Integral Calculus And Differential Equations
: Integral Calculus : Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals-determination of areas of plane regions bounded by curves- applications.

Differential equations : Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of a differential equation, solution of first order and first degree differential equation of various types - examples. Solution of second order homogeneous differential equation with constant co-efficients.

6. Vectors And Its Applications:
Magnitude and direction of a vector, equal vectors, unit vector, zero vector, vectors in two and three dimensions, position vector. Multiplication of a vector by a scalar, sum and difference of two vectors, Parallelogram law and triangle law of addition. Multiplication of vectors - scalar product or dot product of two vectors, perpendicularity, commutative and distributive properties.

Vector Product Or Cross Product Of Two Vectors - its properties, unit vector perpendicular to two given vectors. Scalar and vector triple products. Equations of a line, plane and sphere in vector form - simple problems. Area of a triangle, parallelogram and problems of plane geometry and trigonometry using vector methods. Work done by a force and moment of a force.

7. Statistics And Probability:
Statistics : Frequency distribution, cumulative frequency distribution - examples. Graphical representation - Histogram, frequency polygon - examples.

Measure Of Central Tendency - mean, median and mode. Variance and standard deviation - determination and comparison. Correlation and regression.

Probability : Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events. Union and Intersection of events. Complementary, elementary and composite events.

Definition of probability : classical and statistical - examples.

Elementary Theorems On Probability - simple problems.
Conditional probability, Bayes' theorem - simple problems. Random variable as function on a sample space.
Binomial distribution, examples of random experiments giving rise to Binomial distribution.

The questions will be designed to test the candidates’ understanding and command of the language.

(ii) General Knowledge------------

The questions will be designed to test a candidate’s general awareness of the environment around him and its application to society. The standard of answers to questions should be as expected of students of standard 12 or equivalent.

Man and his environment
Evolution of life, plants and animals, heredity and environment-Genetics, cells, chromosomes, genes.

History, Politics and Society in India
Vedic, Mahavir, Budhdha, Mauryan, Sunga, Andhra, Kushan. Gupta ages (Mauryan Pillars, Stupa Caves, Sanchi, Mathura and Gandharva Schools, Temple architecture, Ajanta and Ellora).

The rise of new social forces with the coming of Islam and establishment of broader contacts. Transition from feudalism to capitalism. Opening of European contacts. Establishment of British rule in India.

Rise of nationalism and national struggle for freedom culminating in Independence.
Constitution of India and its characteristic features – Democracy, Secularism, Socialism, equality of opportunity and Parliamentary form of Government

Knowledge of the human body-nutrition, balanced diet, substitute foods, public health and sanitation including control of epidemics and common diseases.

Environmental pollution and its control. Food adulteration, proper storage and preservation of food grains and finished products, population explosion, population control.

(ii) Chemistry

Physical Chemistry
1.Atomic structure; Earlier models in brief. Atom as at three dimensional model. Orbital concept. Quantum numbers and their significance, only elementary treatment.

2. Chemical Equilibria and rates of reactions. Law of Mass action. Effect of Pressure, Temperature and concentration on the rates of reaction. (Qualitative treatment based on Le Chatelier’s Principle).

Molecularity; First and Second order reaction. Concept of Energy of activation. Application to manufacture of Ammonia and Sulphur trioxide.


Pauli’s Exclusion Principle. Electronic configuration. Aufbau Principle, s.p.d. and f. block elements.
Periodic classification only long form. Periodicity and electronic configuration. Atomic radii, Electro-negativity in period and groups.

please tell me who r eligible

what is the age limit for it?
can a Engg. student fill this form whose branch is ECE?

Syllabus of SCRA Examination
Syllabus of SCRA (Special Class Railway Apprentices) Examination conducted by the UPSC is given as under, for the reference of aspirants.
Special Class Railway Apprentices) Examination comprises of three written Exams as mentioned under:


Paper I
English: The questions will be designed to test the candidates' understanding and command of the language.

General Knowledge

Psychological Test: The questions will be designed to assess the basic intelligence and mechanical aptitude of the candidate.



Paper II
Physics

Chemistry

Paper III
Mathematics

Syllabus for Special Class Railway Apprentices(SCRA)
scra Paper I
scra English
scra General knowledge
scra Psychological Test
scra Mathematic
Syllabus of SCRA Examination -


SCRA (Special Class Railway Apprentices) Examination Was Conducted by UPSC.

Paper I -

English - The Questions Will be Designed to Test the Candidates Understanding And Command of The Language.

General Knowledge

Psychological Test - The Questions Will Be Designed to Assess the Basic Intelligence and Mechanical Aptitude Of The Candidate.


Paper II -

Source: http://entrance-exam.net/forum/general-discussion/syllabus-scra-exam-40712.html#ixzz1bj3abqa2

sir ,i want syllabus of scra examination 2010 so plz forward in my id to thi syllabus

Syllabus of SCRA Examination -


SCRA (Special Class Railway Apprentices) Examination Was Conducted by UPSC.

Paper I -

English - The Questions Will be Designed to Test the Candidates Understanding And Command of The Language.

General Knowledge

Psychological Test - The Questions Will Be Designed to Assess the Basic Intelligence and Mechanical Aptitude Of The Candidate.


Paper II -


Physics

Chemistry

Paper III -


Mathematics - Algebra, matrixes, trigonometry, analytical ability, calculus, integral calculus and differential equations, vectors, statistics and probability are present in syllabus.


And For Complete Syllabus, Please Download The Given Attach File -
Attached Files
SCRA Exam Syllabus.docx(25.2 KB, 49 views)