**Syllabus of Examination:SCRA UPSC**

**Paper-I – General Ability Test**

**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/her and its
application to society. The standard of answers to question should be as
expected of students of standard 12 or equivalent. Man and is environment Evolution of life, plants and animals, heredity and
environment-Genetics, cells, chromosomes, genesis 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 ormation, 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, Buddha, auryan, 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
Gandhi an 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 organization — 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 – Physical Sciences**

**i)Physics**

Length measurements using
vernier, screw gauge, speedometer and optical lever measurement of time and
mass. Straight line motion and relationships among placements, 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.
Mage 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
orvoltmeter.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 Grays. 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 models. Orbital concept. Quantum
numbers and their significance, only elementary treatment. Paula’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, covalent, coordinates 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 Equilibriums 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 dilute solutions
and determination of Molecular weights of issolvedsubstances.Elevation of
boiling points. Depressions of freezing point, osmotic pressure. Raoult’s Law
(no thermodynamic treatment only).

6. Electro-Chemistry: Solution of
Electrolytes, Faraday’s Laws of Electrolysis, ionic equilibrium, 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, sculptures 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, aluminums,

Silver, gold, zinc and lead.
Common alloys of these metals; Nickel and manganese steels.

**Organic Chemistry**

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

2. General methods of
preparation, properties and reaction of alkenes, 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. Hydroxyl 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 ketenes:
Formaldehyde, Acetaldehyde, Benzaldehyde, acetone, cetophenone.

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

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

9. Esters: Ethyl cerate, Methyl
calculates ethyl benzoate.

10. Polymers: Polythene, Teflon,
Perplex, Artificial Rubber, Nylon and Polyester fibers.

11. 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. Adjoin 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 < 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. Product 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, and 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, orthogonally of two circles. 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. Role’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 differential, integration by substitution and by parts, standard integrals involving algebraic expression, trigonometric, exponential and hyperbolic functions. Evaluation of definite integralsdetermination 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-efficient.
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. 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. Union and
Intersection of events. Complementary, elementary and composite events.
Definition of probability: classical and statistical - examples. Elementary
theorems on probability - simple problems conditionals probability, Bayes'
theorem - simple problems. Random variable as function on a sample space.
Binomial distribution, examples of random experiments giving rise to Binomial
distribution. 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.

**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.
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