Saturday, 3 March 2018


Module I
Mathematical Methods of Physics
Curinlinear coordinates, circular cylindrical and spherical polar coordinates
Victor algebra and Victor calculus,
Matrices – Cayley Hamilton Theorem, Eegin values and Eegin vectors.
Special Functions (Gama, Beta, Hermite, Bessel, Laguerre, Legendre)
Complex  Analysis  –  Analytic  function,  Taylor  and  Laurent  expansions,  poles,  residue  and evaluation of integrals.
Fourier Series, Fourier and Laplace transforms.
Tensors, Introductory group theory, representation of groups. Irreducible representation SU (2), SU(3).
Module II
Classical Mechanics
Newtons  laws,  Lagrangian  and  Hamiltonian  formalism.  Canonical  Transformation  and  Poison
Hamilton Jacobi Theory
Rigid body Dynamics Small
Special theory of relativity
Non leniar Dynamics – logistic map – bifurcation – attractors – fractal, fractal dimension.
Module III
Quantum Mechanics
Wave particle duality, Fundamental postulates of Q.M., Schrodinger picture & Heisenberg picture
Eigen value problem (particle in a box, harmonic ocillator). Tunneling through a barrier. 
Heisenberg  uncertainly  principle.  Algebra  of  linear  vector  space,  Dirac  notation,  Angular Momentum algebra (spin, addition of angular momentum).
Time independent perturbation theory and applications :
Variational method.
Time dependent perturbation theory and Fermi Golden Rule.
Elementary theory of Scattering phase shifts, partial waves, Born approximation.
Relaturistic Quantum Mechanics : Klein Gordon – Dirac equations.
Module IV
A) Electro Dynamics & Statistical Physics
Review of Electrostatics and Magnetostatics
(Gausi's law, Biot Savart Law, Amperes theorum)
Maxivells equation in free space and linear isotropic media – boundary conditions on the fields at interfaces. Sealar and vector potentials.
(Retarded potential Lienard Wiehirt potential, field of a moving point charge)
Electromagnetic waves in free space. Dielectrics and conductors. Reflection, refraction, polarisation Transmission lines and Wave guides.
Statistical Physics
B) Laws of  thermodynamics. Thermodynamic  potentials
Phase space, micro and macrostates, Micro canonical, canonical and grand canonical ensembles and
partition funtions. Classical and quantum statistics, Ideal Bose and Fermi gases.
First and second order phase transitions. Diamagnetism, paramagnetism an ferromagnetism.
Module V
Spectroscopy and Condensed Matter Physics
 A) Spectroscopy
Introduction to Atomic Spectroscopy :- LS coupling, - J J coupling, - Zeeman effect, - Stark
effect, Lande - g factor
Electronic, rotational, vibrational and Raman Spectra of diatomic molecules, selection rules.
Spin Resonance Spectroscopy : NMR, ESR, Mossbauer Spectroscopy.
Laser :  Spontaneous and stimulated emission, Einstein coefficients.  Optical  pumping, population
inversions, rate equation. Modes of resonators and coherence length.
B) Condensed Matter Physics
Bravais lattice, Reciprocal lattice. Diffraction and the structure factor. Brillouin zone.
Vibractions of crystals with monoatomic and diatomic basis – Phonon heat capacity – Density of
states in one an three dimensions – Einstein and Debye models
Free electron theory and electronic specific heat.
Hall Effect
Super conductivity  Type I and Type II superconductors.
Josephson functions, BCS theory
Module VI
Nuclear and Particle Physics & Electronics
A) Nuclear Properties : size shape and charge distribution, spin and parity – Binding energy,
semi empirical mans formula, liquid drop model, Nature of nuclear force. Elmentary ideas of alpha,
beta and gamma decay and their selection rules. Fission and fusion. Nuclear for reactions. Reaction
crossection, Q valve.
Elementary particles and their Quantum numbers.
Quark Model
A) Electronics :
Semi conductor devices (diodes, functions, transistors,  FET) Amplifuro, Oscillators.
Opto electronic devices (solar cells, photo detection, LED), Operational amplifiers and their
applications. Digital techniques and applications (registers, counters, comparators) A/D and D/A converters.
Module VII
Recent Developments in Physics
Properties of metal, semi conductor, rare gas and molecular nanoclusters – superconducting
fullerene – quantum confined meterials – quantum wells, wires, dots and rings – meta materials –
Non Linear Dynamics
Soliton – Effect of nonlinearity and dispersion.
Non Conventional Energy Resources
Wind Energy, Solar Energy, Tidal energy, Bio.
Evolution of Universe
Big Bang Theory : Spontaneous symmetry breaking, Higgs Boson.
Basis of Quantum Computing  

Module -I
Formulation of Quantum Mechanics - Approximation Methods - Hydrogen like Atoms -Multi
Electron Systems - Angular Momentum - Applications
Chemical Bonding in Diatomic and Polyatomic Molecules-Electronic Spectroscopy of Atoms - Basic
principles of Molecular Spectroscopy:   Microwave, Infrared, Electronic, NMR, ESR, Raman and Mossbaur
Basic principles of Group Theory - Character Tables - Chemical .and Spectral Applications
Introduction to Computational Chemistry - Computational methods : ab initio,   Semi Empirical methods - Molecular Mechanics
Module -II
Laws of Thermodynamics - Thermodynamics of Solutions - Thermodynamics of irreversible process
- Phase Equilibria - Two and Three Component Systems
Statistical Mechanics - Fundamentals - Partition Function - Quantum Statistics - Heat capacities
of Solids and Gases .
Electrodes and Electrochemical Cells - Nernst, Debye-Huckel, Omsager Equations - Electro kinetic
Phenomena, Electrolytic Polarization.
Electro Analytical Methods :      Potentiometry, Polarography , Coulometry, Conductometry, Voltametry and
Electronic Structure of Solids - Crystal Symmetry - Theories of Solids - Properties of Solids : Electrical, 
Magnetical and Optical - Crystal defects.
Structure and Theories of Liquids - Liquid Crystals and their applications.
Basic principles of Kinetics - Kinetics of Complex reactions - steady state approximation -Theories of Reaction Rates - Arrhenius equation - fast reactions.
Homogenous and Heterogeneous Catalysis - Enzyme Catalysis
Monolayer and multilayer adsorption - Adsorption Isotherms - Principles of SEM, TEM, ECSA and Augur Spectroscopy
Colloids - Zeta Potential - Electrokinetic Phenomena
Basic concepts of Organic reactions - Electron displacement effects - Aromaticity
Organic Reactions : Substitution, Addition, Elimination, Rearrangements - Mechanism
Concept of Molecular Chirality - Carbon and Nitrogen Compounds - Chiral reagents and Chiral Catalysts
- Stereo chemistry of biphenyl and allenes . Topicity and prostereo isomerism -asymmetric synthesis.
Geometrical isomerism .     ,
Conformational analysis in acyclic and cyclic systems ,
Reactivity in substitution and elimination reactions.
Reaction intermediates  -  reactions  related to substitution, addition, elimination and rearrangements  - mechanism and application.
Esterification and ester hydrolysis reactions - structure and reactivity: Linear Free Energy relationship.
Photoreactions of Carbonyl compounds - enes, dienes, arenes - applications
Pericyclic reactions:  Electrolytic, cycloaddition, Sigmatropic - Selection rules and
stereochemistry - applications
Chromatographic techniques. Column, TLC, Paper, GC, HPLC and ion exchange
Applications of UV, IR, HNMR, CNMR and Mass Spectroscopy - D NMR techniques -Structural Analysis using Spectral Data
ORD and CD - theory and applications
Organic, Inorganic and organo metallic reagents in organic synthesis.
Protecting groups in peptide synthesis
Natural  Products  :     Terpenes,  steroids,  alakaloids,  carbohydrates,  proteins,  nucleic acids, vitamins, 
prostoglandins, hormones and enzymes.
Fundamentals of polymerization - structure - property relationship of polymers - biopolymers.
Module -V
Accuracy & Precision - statistical treatment of data - Theories of titrations
Thermal methods of analysis
Structure and bonding in molecules - chemical periodicity
Theories of acids and bases - Non-acqueous solvents - Isopoly and heteropoly acids
Theories in co-ordination chemistry - stereochemistry of co-ordination compounds - stability of metal
complexes - reactions of metal complexes
Electronic, Infrared, NMR, ESR and Mossbaur spectra of complexes - Co-ordination complexes of Lanthanides and actinides.
Module -VI
Synthesis,  structure,  properties and bonding of organometallic compounds - metal  carbonyls and
cyanides - Catalysts by organo metallic compounds - hydrogenation, hydroformylation and polymerization.
Metal ions in biological systems - Role and effects - Coenzymes, Cytochromes, chlorophylls and hormones.
Nuclear reactions - structure and stability - radio active equilibria - neutron activation analysis - counting techniques. . . .
Synthesis,  reactions,  structure  and  bonding  in  boranes  -  organoboranes  and  hydriborations  -synthesis,  structure and uses of phosphorous,  nitrogen compounds,  phosphorus - sulphur compounds,  silicones and silicates.
Module -VII       
Recent Developments in Chemistry
Nanostructures - ID, 2D and 3D structures - Synthesis and applications of nanomaterials.
Principles of Green chemistry - Green synthesis - Application of Phase Transfer Catalysts -Green Reactions.
Molecular recognition : Synthetic Receptors, Cyclodextrin, Calixiranes, Cyclophanes, Crown Ethers.
Drug design and Drug action. .


Salient Features of Indian Constitution
Salient features of the Constitution - Preamble- Its significance and its place in the
interpretation of the Constitution.
Fundamental  Rights  -  Directive  Principles  of  State  Policy  -  Relation  between Fundamental Rights and Directive Principles - Fundamental Duties.
Executive - Legislature - Judiciary - Both at Union and State Level. - Other Constitutional  Authorities.
Centre-State Relations - Legislative - Administrative and Financial.
Services under the Union and the States.
Emergency Provisions.
Amendment Provisions of the Constitution.

Social Welfare Legislations and Programmes
Social Service Legislations like Right to Information Act, Prevention of atrocities against
Women & Children, Food Security Act, Environmental Acts etc. and Social Welfare Programmes like Employment Guarantee Programme, Organ and Blood Donation etc.

Towards A New Society
Introduction  to  English  education  -  various  missionary  organisations  and  their
functioning- founding of educational institutions, factories.printing press etc.

Efforts To Reform The Society
(A) Socio-Religious reform Movements
SNDP  Yogam,  Nair  Service  Society,  Yogakshema  Sabha,  Sadhu  Jana  Paripalana
Sangham,  Vaala  Samudaya  Parishkarani  Sabha,  Samathwa  Samajam,  Islam Dharma
Paripalana Sangham, Prathyaksha Raksha Daiva Sabha, Sahodara Prasthanam etc.

(B) Struggles and Social Revolts
Upper  cloth revolts.Channar  agitation, Vaikom Sathyagraha,  Guruvayoor  Sathyagraha,
Paliyam Sathyagraha.  Kuttamkulam Sathyagraha,  Temple Entry Proclamation, Temple Entry Act .Malyalee Memorial, Ezhava Memorial etc.
Malabar riots, Civil Disobedience Movement, Abstention movement etc.

Role Of Press In Renaissance
Malayalee,  Swadeshabhimani,  Vivekodayam,  Mithavadi,  Swaraj,  Malayala Manorama, 
Bhashaposhini,  Mathnubhoomi,  Kerala  Kaumudi,  Samadarsi,  Kesari,  AI-Ameen, Prabhatham, Yukthivadi, etc
Awakening Through Literature
Novel, Drama, Poetry,  Purogamana Sahithya Prasthanam, Nataka Prashtanam,  Library
movement etc
Women And Social Change
Parvathi  Nenmenimangalam,  Arya  Pallam,  A  V  Kuttimalu  Amma,  Lalitha
Prabhu.Akkamma Cheriyan, Anna Chandi, Lalithambika Antharjanam and others

Leaders Of Renaissance
Thycaud  Ayya  Vaikundar,  Sree  Narayana  Guru,  Ayyan  Kali.Chattampi  Swamikal, 
Brahmananda Sivayogi,  Vagbhadananda,  Poikayil  Yohannan(Kumara  Guru) Dr  Palpu,
Palakkunnath Abraham Malpan, Mampuram Thangal, Sahodaran Ayyappan, Pandit K P
Karuppan, Pampadi John Joseph, Mannathu Padmanabhan, V T Bhattathirippad, Vakkom
Abdul Khadar Maulavi, Makthi Thangal, Blessed Elias Kuriakose Chaavra, Barrister G P
Pillai,  TK  Madhavan,  Moorkoth  Kumaran,  C.  Krishnan,  K  P  Kesava  Menon,
Dr.Ayyathan  Gopalan,  C  V  Kunjuraman,  Kuroor  Neelakantan  Namboothiripad,
Velukkutty Arayan, K P Vellon, P K Chathan Master, K Kelappan, P. Krishna Pillai, A K
Gopalan, T R Krishnaswami Iyer, C Kesavan. Swami Ananda Theerthan , M C Joseph,
Kuttippuzha Krishnapillai and others

Literary Figures
Kodungallur Kunhikkuttan Thampuran, KeralaVarma Valiyakoyi Thampuran, Kandathil
Varghese Mappila.  Kumaran Asan, Vallathol Narayana Menon, Ulloor S Parameswara
Iyer,  G  Sankara  Kurup,  Changampuzha  Krishna  Pillai,  Chandu  Menon,  Vaikom
Muhammad Basheer. Kesav Dev, Thakazhi Sivasankara Pillai,  Ponkunnam Varky,  S K
Pottakkad and others

General Knowledge and Current Affairs



NOTE:  -  It  may be noted that  apart  from the topics  detailed above, questions from other topics prescribed for the educational qualification of  the  post  may  also  appear  in  the  question  paper.  There  is  no undertaking that all  the topics above may be covered in the question paper.

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