## PAPER I : Part I (History of Rajasthan and Indian History with special emphasis on Indian National Movement)

Development of Art, Science and Literature during Mouryan and Gupta Periods.

Ancient Indian education system and educational institutions of learning, Indian cultural expansion abroad.

Mahatma Gandhi and National movement.

Freedom Struggle of 1857 and Rajasthan. Peasant and labour movement. Vijay Singh Pathik, Arjun Lal Sethi, Kesari Singh and Joravar Singh Bareth.

Maharana Pratap, struggle with the Mugals.

Growth of education during British period, Freedom Struggle of 1857. Rise of Nationalist movement, Prominent leaders of national movement, V.D. Savarkar, Bankim Chandra, Lal, Bal, Pal, Chandra Shekhar Azad, Bhagat Singh, Sukhdev, Ras Behari Bose, Subhash Chandra Bose., social and religious renaissance- Raja Ram Mohan Roy, Dayanand Saraswati and Vivekanand.

Shivaji and the Maratha Swaraj, Rajput polity, society and culture during 7 th to 12 th centuries.

Bhakti movement and cultural synthesis, development of education, language, literature, Art and Architecture during Mugal Period.

## 2. Mental Ability Test

Analogy, series completion, coding-decoding, blood relations, logical venn diagrams,
alphabetical test, number ranking and time sequence test, mathematical operations,
arithmetical reasoning, data interpretation, data sufficiency, cubes and dice,
construction of sequences and triangles.

### Statistics (Secondary Level)

Collection of data, presentation of data, graphical representation of data, measures
of central tendency, mean, mode, median of ungrouped and grouped data.

### Mathematics (Secondary Level)

Natural, rational and irrational numbers, real numbers and their decimal expansions,
operations on real numbers, laws of exponents for real numbers, rational numbers
and their decimal expansions. Zeroes of a polynomial. Relationship between zeroes
and coefficients of a polynomial. Division algorithm for polynomials. Algebraic
methods of solution of pair of linear equations in two variables.

### Mensuration

Surface area of a cuboid and a cube, right circular cylinder, right circular cone, sphere. Volume of a cuboid, cylinder, right circular cone and sphere, Surface area and volume of a combination of solids conversion of solid from shape to another.

**Language ability test : Hindi, English **

### सामान्य हिंदी

संधी और संधि विच्छेद |

उपसर्ग |

प्रत्याय |

विपरीतार्थक (विलोम) शब्द |

अनेकार्थक शब्द |

शब्द युग्म |

शब्द शुद्धी : अशुद्ध का शुद्धीकरण और शब्दगत अशुद्धी का कारण |

वाक्य शुद्धी अशुद्ध वाक्य शुद्धीकरण और वाक्य अशुद्धी का कारण |

क्रिया सकर्मक और अकर्मक क्रियाए |

अंगरेजी की परिभाशिक (तकनीकी) शब्दो के समानार्थिक हिंदी शब्द |

### GENERAL ENGLISH

Tenses/Sequence of Tenses.

Voice : Active and Passive.

Narration : Direct and Indirect.

Use of Articles and Determiners.

Use of Prepositions.

Correction of sentences including subject, Verb, Agreement, Degrees of Adjectives, Connectives and words wrongly used.

Glossary of official, Technical Terms (with their Hindi Versions).

Antonyms.

Forming new words by using prefixes and suffixes.

Confusable words.

## 3. Current Affairs

Economic Planning in India

12^{th} five year plan, Census of India 2011

Various development programme of India and Rajasthan

Poverty eradication programme,

Youth employment programme

Health and Hygiene Schemes of Rajasthan, Space programmes of India, Atomic Energy programmes

India and the world events of importance

Persons and places of India in News

Contemporary events in Science and Technology in India

National and International Awards and Prizes

Latest Books and Authors of India

Sports and games.

### 4. General Science

Atoms and molecules

Chemical reactions and equations

Carbon and its compounds,

Force and laws of motion

Work and energy

Tissues, Control and coordination

Heredity and evolution

Management of natural resources

Protection of environment

Biodiversity and sustainable development.

Geography of Rajasthan Location, extent, shape, size, physical features climate, demographic characterstics, agriculture, mineral resources, energy resources. Tourism and transport. Industries and trade.

**Indian Polity:**

❶Salient feature of the constitution of India, Indian Executive, Legislature, and Judiciary - Organization, Theory and practice, Elections in India. The president of India, Election and emergency powers of the president.

❷Cabinet, Prime Minister and his powers.

❸Parliament, speaker and his functions.

❹Beurocratic set up of India.

❺Political parties and their role – Theory and practice.

❻Supreme court – Organization and powers, Commissions and Boards at -national level.

## 5. Educational Management, Educational scenario in Rajasthan, Right to Education Act 2009

Concept and functions of educational management

Educational management in Rajasthan

School as a unit of decentralized planning

Educational management information System(EMIS)

Institutional planning

School mapping

Block Resource Centre(BRC)

School Management Committee(SMC)

District Information System for Education(DISE)

Sarva Shiksha Abhiyan(SSA)

Rashtriya Madhyanik Shiksha Abhiyan(RMSA).

Organisation of educational set up at primary and secondary in Rajasthan

Functions of RIE, SIERT, BSER, IASE, CTE, DIET

Rajasthan Educational Intiative

Balika Shiksha Foundation

Kasturba Gandhi Balika Vidalaya

Rajasthan text book board

Bharat Scouts and Guides

Rasthriya Military school

Sainik school

Public school

Model school

E-Mitra, E-Governance, Rajshiksha, Edusat, Gyandarshan, Gyanvani.

Provisions of Right of Children to Free and Compulsory Education Act, 2009

## Paper - II : Part 1(Senior Secondary Standard)

### 1.Physical world and measurement

Fundamental and derived units

systems of units

dimensional formula and dimensional equations

Accuracy and error in measurement

### 2. Description of motion

motion in one dimension

uniformly accelerated motion

motion with uniform velocity/Acceleration in two dimensions

motion of an object in three dimensions

relative velocity.

### 3. Vectors

Scalar and vector quantities

unit vector

addition and multiplication.

### 4. Laws of motion

first, second and third law of motion

impulse

momentum

conservation of linear momentum.

### 5. Friction

Types of friction

laws of friction

lubrication.

### 6. Work, Energy and Power

Work done by a constant / variable force

K.E., P.E.,

Elastic collision in one and two dimensions,

gravitational P.E.

P.E. of a spring

conservation of energy

conservative and non-conservative orces

power.

### 7. Rotational motion

Centre of mass

its motion

rotational motion

Torque

angular momentum

centripetal force

circular motion

moment of inertia

theorems of M.I.

Rolling motion.

### 8. Oscillatory motion

Periodic motion

S.H.M. its equation

K.E. and P.E.

concept of free, forced and damped oscillations

simple pendulum

oscillation of a loaded spring.

### 9. Gravitation

Universal law of gravitation

variation of g

orbital and escape velocity

planetary motion

Kepler's law.

### 10. Elasticity

Hook's law

young's modulus

bulk modulus and shear modulus of rigidity

Applications of elastic behaviour of matter.

### 11. Surface tension

Fluid pressure

Pascal's law

Archiemedes principle

molecular theory of surface tension,

Excess of pressure inside a drop and soap bubble

angle of contact

Capalarity

Detergents.

### 12. Liquids in motion

Type of flow of liquid

Critical velocity

Coefficient of viscosity

Terminal velocity

Stoke's law

Reynold's number

Bernoulli's theorem - its applications.

### 13. Kinetic theory of gases

Laws for gases

Ideal gas equation

Assumptions of Kinetic theory of gases

Pressure exerted by a gas

Law of equipartition of energy

Degree of freedom

Specific heats of gases and solids

Mean free path.

### 14. Heat and thermodynamics

Concept of Heat and temperature

Temp. Scales

Thermal expansion of solid

liquid and gases

specific heat

change of state

latent heat

Thermal capacity

Zeroth & first law of thermodynamics

thermodynamic process

second law of thermodynamics

carnot engine.

### 15. Radiation

Modes of transmission of heat

thermal conductivity

Thermal radiations

Perfect blackbody

Newton's law of cooling.

### 16. Waves

Type of waves

wave equation

speed of a progressive wave

superposition principle

beats

stationary

waves and normal modes

Doppler's effect.

### 17. Ray optics and optical instruments

Laws of reflection

Reflection by plane and curved mirrors

Laws of refraction

total internal refraction - applications

Lenses

Image formation by lenses

Dispersion by prism,

Sattering of light

Eye

Defects of vision

Microscopes

Telescopes.

### 18. Electrostatics

Coulomb's law

electric field and potential due to a point charge and Dipole

concept of Dielectic,

Gauss theorem - its applications

Electric lines of force

Force and torque experience by a dipole in uniform electric field

potential energy of a system of charges

equipotential surfaces.

### 19. Capacitance

Capacity of an isolated spherical conductor

capacitor - principle

Parallel plate capacitors

effect of dielectric on capacitance

series and parallel combinations of Capacitors

Energy of a Capacitor

van de graff generator.

### 20. Current Electricity

Ohm's Law

Temperature dependence of resistance

colour code of resistors

series and parallel combination of resistors

resistivity

primary and secondary cells and their combination in series and parallel

Kirchoff's laws

wheat stone bridge and potentiometer - their applications

electrical energy and power.

### 21. Magnetism and magnetic effect of current

Natural and man made magnet

magnetic lines of force

Bar magnet

magnetism and gauss law

magnetic moment

Torque on a magnetic dipole

magnetic field

magnetic induction

magnetic intensity

permeability

susceptibility & Intensity of magnetisation - their relations

Curie Law

Hysterisis

B-H curve

Classification of magnetic materials

Magnetic force

motion in the magnetic field,

Biot - Savarts law

magnetic field by a straight Conductor & Circular Current Carrying Coil

Ampere's Circuital law

Solenoid

Toroid

Moving Coil Galvanometer

Ammeter

Voltmeter.

### 22. Electromagnetic Induction

Faraday's Law

Lenz's Law

Self Induction

Mutual Induction

Electric Generators.

### 23. Alternating Current

Mean and rms value of A.C.

A.C. Circuit Containing resistance

Inductance and Capacitance

Series resonant Circuit

Q factor

Average power in A.C.

Wattless Current

L C oscillations

transformer.

### 24. Wave Optics

Huygen's principle

reflection and refraction

Interference of light

young's double slit experiment

Diffraction of light

Single slit diffraction

resolving power of optical instruments

polarisation of light

law of malus

Polarization by reflection and scattering.

### 25. Photoelectric effect and matter waves

Einstein's Photoelectric equation

Photocell

matter waves

Debroglie's hypothesis

Davison and Germer's experiment.

### 26. Nuclear Physics and Radioactivity

Nucleus

size

Mass defect

Binding energy

Nuclear fission and fusion

Nuclear reactor

Radioactivity

laws of disintegration

α, β and ℽ decays.

### 27. Solids and semi conductor devices

Energy band in solids

Semi conductor

P-N Junction

Diodes

Diode as an rectifier

Special purpose p-n junction diodes

Junction transistor

Logic gates

integrated circuit.

### 28. Electromagnetic Waves and Communication

Displacement current

Electromagnetic Waves-Source, nature.

Electromagnetic spectrum

Elements of a communication system

Bandwidth of signals and transmission medium

Sky and space wave propagation

Need for modulation

Production and detection of an AM wave.

## Part II (Graduation Standard)

### 1 MECHANICS:

Inertial frames

Galilean transformation

Non-inertial frames

fictitious forces

rotating coordinate systems

Coriolis force and its applications

postulates of special theory of relativity

Lorentz transformations

relativistic addition of velocities

length contraction

time dilation

Variation of mass with velocity

mass energy relation

System of particles

concept of reduced mass

single stage and multistage rocket

Analysis of collision in centre of mass frame

Angular momentum of a system of particles

equation of motion of a rotating body

inertial coefficients

kinetic energy of rotation and idea of principles axes

Euler's Equations

Elasticity

relation between elastic constants

Theory of bending of beams and Cantilever

Torsion of a cylinder

Bending moments and Shearing forces

### 2 WAVES & OSCILLATIONS:

Potential well and periodic oscillations

Damped harmonic oscillators

Power dissipation

Quality factor

Driven harmonic oscillator

Transient and steady state

Power absorption

Motion of two coupled oscillators

normal modes.

Waves in media

speed of longitudinal waves in a fluid

energy density and energy transmission in Waves

Group velocity and phase velocity

their measurements.

Noise and Music : The human ear and its responses: limits of human audibility

Intensity and loudness

bel and decibel

the musical scale

Temperament and musical instruments

The acoustics of halls

Reverberation period.

### 3 ELECTROMAGNETISM:

Concept of multi poles

Electrostatic energy of uniformly charged sphere

classical radius of an electron

Screening of E field by a conductor.

Electric field in matter : atomic and molecular dipoles

dielectrics

polarisability

polarization vector

electric displacement

electrostatic energy of charge distribution in dielectric

Lorentz local field and Clausius Mossotti equation

Electrostatic field - conductors in electric field

Boundary conditions for potential and field at dielectric surface

uniqueness theorem

Poisson's and Laplace's equations in Cartesian cylindrical and spherical polar coordinates

solutions of Laplace's equations in Cartesian coordinates.

Maxwell's equations (integral and differential form) and displacement current

E as an accelerating field: Electron gun

case of discharge tube

linear accelerator

E as deflecting field

CRO

### 4 THERMODYNAMICS AND STATISTICAL PHYSICS:

Maxwell velocity distribution

Transport

Phenomenon : Mean free path, Coefficients of viscosity, thermal conductivity, diffusion and their interrelation.

Clausius-Clapeyron equation

vapor pressure curve

Maxwell relations and their applications.

Production of low temperatures

Joule Thomson expansion and J.T. coefficients for ideal as well as van der Waals gas

Temperature inversion

Regenerative cooling

Cooling by adiabatic demagnetization

Liquid Helium,

He-I and He-II

Super fluidity

Nernst heat theorem.

Phase space

Micro and Macro states thermodynamic probability

relation between entropy and thermodynamic probability

Specific heat capacity of solids

Bose Einstein statistics and its distribution function

Planck distribution function and radiation formula

Fermi Diarc statistics and its distribution function.

### 5 ELECTRONICS and CIRCUIT ANALYSIS :

Four terminal networks : current voltage conventions

open, close and hybrid parameters of any four terminal network

Input, output and mutual independence for an active four terminal network

Various circuits theorems : Superposition, Thevenin, Norton, reciprocity, maximum power transfer Theorems.

Rectifiers- Half wave, full wave and Bridge rectifier, calculation of ripple factor, efficiency and regulation.

Filters, Series inductor shunts capacitor, L section and &pie; section filters

Voltage regulation and voltage stabilization by Zener diode.

Analysis of transistor amplifiers using hybrid parameters and its gain frequency response

basic idea of R-C coupled amplifiers.

Transistor biasing - stability factors

various types of bias circuits for thermal bias stability

Amplifier with Feed back : positive and negative feed back

Voltage and current feed back circuits

Advantages of negative feed back.

Oscillators : Criteria for self excited and self sustained oscillators circuit requirement for build-up of oscillation.

Basic transistor oscillator circuit and its analysis

colpitts and Hartley oscillators

R-C Oscillators.

Junction Field effect transistor (JFET)

circuit symbols

biasing and volt-Ampere relations.

### 6 OPTICS :

Interference of a light

coherence requirements of the sources

optical path retardations

lateral shift of fringes

thin films

Newton's ring

Michelson interferometer

Fabry Perot interferometer and etalon

Fresnel diffraction : Half periods zones, circular aperture, Circular disc, straight edge,

Fraunhoffer diffraction : double slit, n slit

Plane diffraction grating, reflection grating, concave grating.

Lasers and Holography : Spontaneous and stimulated emission, density of states, Einstein's A and B coefficients,

Energy density of radiation as a result of stimulated emission and absorption

Condition for amplification,

Population inversion

Methods of optical pumping

Energy level schemes ofHe-Ne and Ruby lasers

working of a laser source

Special features of a laser source and their origin.

### 7 QUANTUM MECHANICS AND SPECTROSCOPY:

Failure of classical Physics

Uncertainty principle and its consequences

Application of uncertainty principle.

Schrodinger equation - time dependent and time independent form

Physical significance of the wave function,

probability current density

operators in quantum mechanics

Expectation values of dynamical variables,

postulates of quantum mechanics

eigen function and eigen value

degeneracy, commutation relations

Ehrenfest theorem.

Time independent Schrodinger equation and stationary state solution

particle in one dimensional box

extension of results for three dimensional case and degeneracy of levels

Potential step and rectangular potential barrier coefficient

square well potential problem

Bound State Problems - Particle in one dimensional infinite potential well and finite depth potential well

simple harmonic oscillator (one dimensional)

chrodinger equation for a spherically symmetric potential

Orbital angular momentum and its quantisation

spherical harmonics

energy levels of H-atom.

Elementary Spectroscopy : Quantum features of one electron atoms

Frank-Hertz experiment

Stern and Gerlach experiment

Spin and Magnetic moment

Spin Orbit coupling and fine structure

Atoms in a magnetic field, Zeeman effect

molecular spectroscopy

Rigid rotator

diatomic molecules

Rotational spectra

Vibrational spectra

Vibrational Rotational spectra

Raman effect.

### 8 NUCLEAR PHYSICS :

Quadrupole Moment and Nuclear Ellipticity

Nuclear Spin

Parity and Orbital Angular Momentum

Nuclear Mass and Mass Spectroscopy

Proton-Neutron Hypothesis

The Nuclear Potential

Mass Defect and Binding Energy

Nuclear Forces

The Liquid Drop Model.

Accelerators -Linear Accelerators, Cyclotron, Synchrocyclotron

Betatron : The Electromagneticm Induction Accelerator, Electron Synchrotron, Proton Synchrotron.

Particle and Radiation Detectors : Ionisation Chamber, Region of Multiplicative Operation, Proportion Counter, Geiger-Muller Counter, Scintillation counter, Cloud Chamber.

### 9 SOLID STATE PHYSICS:

Crystal Binding and Crystal Structure: Bravis Lattice, Miller Indices and Crystal Structure

X-ray Diffraction and Bragg's Law

Laue equation of X-ray diffraction.

Thermal Properties of the Solids : Various Theories of Lattice Specific Heat of Solids: The Einstein Model,Debye Model

Electronic Contribution of the internal Energy hence to the Specific Heat of Metals

Thermal Conductivity of the lattice

Band Theory of Solids : Wave Function in a Periodic Lattice and Bloch Theorem, Effective Mass, Momentum, Crystal Momentum .

Electrical Conductivity : Sommerfield Theory of Electrical Conductivity, Mathiessen's Rule, Thermal Conductivity and Wildemann-Franz's Law, The Hall Effect.

Superconductivity : Experimental Features of Superconductivity, The Isotope Effect, Special Features of Superconducting Materials, Flux Quantisation

BCS Theory of Superconductivity: Cooper Pairs, High Temperature Superconductors (Basic Ideas

## Part III (Post Graduation Standard)

### 1. Mathematical Physics and Classical Mechanics :

Tensors

Matrices

Fourier and Laplace transforms

Bessel and legendre functions

String formula

basic group theory

D' Alembert's Principle

Langrangian and Hamiltonian formalism

canonical transformation

poission bracket and poission theorem

Hamiltonian Principle and Jacobi equation.

### 2. Electricity and Magnetism :

Radiation from moving charge and radiation from dipole

concepts of wave guides,

Retarded potentials

Lienard-Wiechart potential

Bremsstrahlung and Synchroton radiation

reaction force of e.m.w.

### 3. Thermodynamics and Statistical Physics:

Einstein Statistics

properties of ideal Bose and Fermi Gases, BoseEinstein condensation

Gibb's paradox

Liouvilles' theorem

Landau theory of phase transitions

Langevin theory,

Fokker-Plank equation.

### 4. Quantum Physics:

Elementary theory of scattering in a central potentialpartial wave and phase-shift analysis,

Identical particle and spin statistics

WKB Method and its applications.

### 5. Electronics:

Clipping and clamping circuits of operational amplifiers and its applications

inverting and noninverting amplifiers

adder, integrator differentiator

Half and Full adder circuits

Flip-Flops

counters and registers.

### 6. Atomic, Molecular and Solid State Physics :

Quantum states of an electron in an atom

hydrogen atom spectra,

Pauli's Principle

Spin-Orbit interactions

Zeeman effect

Paschen-Back effect

Start effect

LS and JJ coupling,

Hyperfine structure.

Semiconductors statistics of pure and impure semi conductors

Electrical onductivity and its temperature dependence

Recombination mechanisms

Photo conductivity

NMR, ESR and Mossbauer effect.

### 7. Nuclear and Particle Physics:

Nuclear shell model

Collective model

Interaction of charged particles and electromagnetic waves with matter

Meson theory of Nuclear force

Nuclear scatter theory: p-p and n-p

BreitWigner scattering formula

Fermi theory of B-day

Gamov theory of alpha decay.

## Part IV (Educational Psychology, Pedagogy, Teaching Learning Material, Use of computers and Information Technology in Teaching Learning)

### Importance of Psychology in Teaching-Learning :

Learner,

Teacher,

Teaching-learning process,

School effectiveness.

### 2. Development of Learner :

Cognitive, Physical, Social, Emotional and Moral development patterns and characteristics among adolescent learner.

### 3. Teaching - Learning :

Concept, Behavioural, Cognitive and constructivist principles of learning and its implication for senior secondary students.

Learning characteristics of adolescent and its implication for teaching.

### 4. Managing Adolescent Learner :

Concept of mental health and adjustment problems.

Emotional Intelligence and its implication for mental health of adolescent.

Use of guidance techniques for nurturing mental health of adolescent.

### 5. Instructional Strategies for Adolescent Learner :

Communication skills and its use.

Preparation and use of teaching-learning material during teaching.

Different teaching approaches: Teaching models- Advance organizer, Scientific enquiry, Information, processing, cooperative learning.

Constructivist principles based Teaching.

### 6. ICT Pedagogy Integration :

Concept of ICT.

Concept of hardware and software.

System approach to instruction.

Computer assisted learning.

Computer aided instruction.

Factors facilitating ICT pedagogy integration.