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Duration of test: 60 minutes (50 Questions)
GENERAL INFORMATION REGARDING PhD ENTRANCE TEST & INTERVIEW
The entrance examination will be of one hour duration and each question shall carry 1 mark and 1/4th
mark will be
deducted for each wrong answer.
Syllabus for the Ph.D entrance examination
1 School of Management and Social Sciences
Ph.D. in Psychology
1.General Psychology: Nature of Psychology, psychophysics, learning, perception,
memory, emotion, motivation, thinking and problem solving, personality
intelligence and creativity
2.Social Psychology: Introduction, leadership, attitude, prejudice, stereotypes and
discrimination, social cognition, interpersonal attraction, aggression and violence,
prosocial behavior, social influence through social interaction and social identity.
3.Research Method: Types of research, variables, problem, hypotheses, designs,
tools of data collection, sampling techniques.
4.Statistics: Parameter and statistics: description and inferential, normal and skewed
distributions, hypothesis testing: t-test, analysis of variance, chi-square, correlation.5.Psychopathology and Clinical Psychology: Concept of abnormality, models of
abnormal behavior, classification of mental disorders (DSM IV and ICD-ID),
anxiety based, unipolar and bipoplar disorders, psychoanalytic, behavioristic,
cognitive and humanistic existential therapies.
6. Organization Behavior: Accident, fatigue, selection and training, work motivation, organization structure,
development and change, organizational climate and leadership in organizations.
2 School of Physics and Materials Science
Mathematical Physics
Special functions (Hermite, Bessel, Laguerre and Legendre); Fourier series, Fourier transforms; Elements of
complex analysis: Laurent series-poles, residues and evaluation of integrals; Introductory group theory,
Classical Mechanics
Central-force motion; Two-body collisions, scattering in laboratory and centre-of-mass frames; Rigid body
dynamics, moment of inertia tensor, non-inertial frames and pseudoforces; Variational principle, Lagrangian and
Hamiltonian formalisms and equations of motion
Electromagnetic Theory
Electrostatics: boundary value problems; Magnetostatics, Maxwell's equations in free space and linear isotropic
media; boundary conditions on fields at interfaces; Scalar and vector potentials; Gauge invariance; Electromagnetic
waves in free space, dielectrics, and conductors; Reflection and refraction, polarization, Transmission lines and
wave guides; Dynamics of charged particles in static electromagnetic fields; Radiation from moving charges,
dipoles and retarded potentials.
Quantum Mechanics
Matrix representation; Diracs bra and ket notation; Schroedinger equation (time-dependent and time-
independent); Eigenvalue problems such as particle-in-a-box, harmonic oscillator, etc.; Tunneling through a
barrier; Motion in a central potential; Orbital angular momentum, Angular momentum algebra, spin; Addition of
angular momenta; Hydrogen atom, spin-orbit coupling, fine structure; Time-independent perturbation theory andapplications;
Statistical Physics
Phase space, micro- and macrostates; Microcanonical, canonical and grand-canonical ensembles and partition
functions; Free Energy and connection with thermodynamic quantities; First- and second-order phase transitions;
Classical and quantum statistics, ideal Fermi and Bose gases; Bose-Einstein condensation.
Electronics
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Semiconductor device physics, device structure, device characteristics, frequency dependence and applications;
Optoelectronic devices, including solar cells, photodetectors, and LEDs; Operational amplifiers and their
applications; Digital techniques and applications.
Atomic & Molecular Physics
Spectrum of Hydrogen, helium and alkali atoms; Relativistic corrections for energy levels of hydrogen; Hyperfine
structure and isotopic shift; width of spectral lines; LS & JJ coupling; chemical shift; Rotational, vibrational,electronic, and Raman spectra of diatomic molecules;
Nuclear and Particle Physics
Basic nuclear properties: Liquid drop model; Fission and fusion; Nature of the nuclear force, form of nucleon-
nucleon potential; Charge-independence and charge-symmetry of nuclear forces; Deuteron problem; Evidence of
shell structure, single- particle shell model, its validity and limitations; Nuclear reactions, reaction mechanisms,
compound nuclei and direct reactions; Classification of fundamental forces; Elementary particles Spin and parity
assignments, isospin, strangeness; C, P, and T invariance
Condensed Matter Physics & Materials science
Bravais lattices; Reciprocal lattice, X-ray diffraction, structure determination, Bonding of solids; Bond energy, bond
type and bond length, primary and secondary bonding, Elastic properties, phonons, lattice specific heat; Free
electron theory and electronic specific heat; Response and relaxation phenomena; Drude model of electrical and
thermal conductivity; Hall effect and thermoelectric power; Diamagnetism, paramagnetism, and ferromagnetism;
Electron motion in a periodic potential, band theory of metals, insulators and semiconductors; Conductor and
resistors, dielectric materials, Superconductivity, Ordered phases of matter, translational and orientational order,
kinds of liquid crystalline order; Conducting polymers; Quasicrystals, Structure of solids, covalent solids, metals and
alloys, ionic solids, structure of silica and silicate, polymers, classification of polymers, structure of long chain
polymers, crystallinity of long chain polymers, Crystal Defects, point defects, line defects and surface defects,
Phase diagrams; phase rule, single component system, binary phase diagram (isomorphous, eutectic and
peritectic), Diffusion in solids, Ficks first and 2nd
law of diffusion, Kirkendall effect, atomic model of diffusion,
plastic deformations, tensile stress strain curve, plastic deformation mechanism (slip and twinning), work
hardening, strengthening mechanism, creep and its mechanism, ductile and brittle fractures.
3 School of Chemistry and Bio-Chemistry
Physical Chemistry:
1. Basic principles and applications of quantum mechanics hydrogen atom, angular momentum.
2. Variational and perturbational methods.3. Basics of atomic structure, electronic configuration, shapes of orbitals, hydrogen atom spectra.
4. Theoretical treatment of atomic structures and chemical bonding.
5. Chemical applications of group theory.
6. Basic principles and application of spectroscopy rotational, vibrational, electronic, Raman, ESR, NMR.
7. Chemical thermodynamics.
8. Phase equilibria.
9. Statistical thermodynamics.
10. Chemical equilibria.
11. Electrochemistry Nernst equation, electrode kinetics, electrical double layer, Debye-Hckel theory.
12. Chemical kinetics empirical rate laws, Arrhenius equation, theories of reaction rates, determination of
reaction mechanisms, experimental techniques
for fast reactions.
13. Concepts of catalysis.
14. Polymer chemistry. Molecular weights and their determinations. Kinetics of chain polymerization.
15. Solids - structural classification of binary and ternary compounds, diffraction techniques, bonding, thermal,
electrical and magnetic properties
16. Collids and surface phenomena.
17. Data analysis.
Inorganic Chemistry
1. Chemical periodicity
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2. Structure and bonding in homo- and heteronuclear molecules, including shapes of molecules.
3. Concepts of acids and bases.
4. Chemistry of the main group elements and their compounds. Allotropy, synthesis, bonding and structure.
5. Chemistry of transition elements and coordination compounds bonding theories, spectral and magnetic
properties, reaction mechanisms.
6. Inner transition elements spectral and magnetic properties, analytical applications.
7. Organometallic compounds - synthesis, bonding and structure, and reactivity. Organometallics in homogenouscatalysis.
8. Cages and metal clusters.
9. Analytical chemistry- separation techniques. Spectroscopic electro- and thermoanalytical methods.
10. Bioinorganic chemistry photosystems, porphyrines, metalloenzymes, oxygen transport, electron- transfer
reactions, nitrogen fixation.
11. Physical characterisation of inorganic compounds by IR, Raman, NMR, EPR, Mssbauer, UV-, NQR, MS, electron
spectroscopy and microscopic techniques.
12. Nuclear chemistry nuclear reactions, fission and fusion, radio-analytical techniques and activation analysis.
Organic Chemistry
1. IUPAC nomenclature of organic compounds.
2. Principles of stereochemistry, conformational analysis, isomerism and chirality.
3. Reactive intermediates and organic reaction mechanisms.
4. Concepts of aromaticity.
5. Pericyclic reactions.
6. Named reactions.
7. Transformations and rearrangements.
8. Principles and applications of organic photochemistry. Free radical reactions.
9. Reactions involving nucleophotic carbon intermediates.
10. Oxidation and reduction of functional groups.
11. Common reagents (organic, inorganic and organometallic) in organic synthesis.
12. Chemistry of natural products such as steroids, alkaloids, terpenes, peptides, carbohydrates, nucleic acids and
lipids.
13. Selective organic transformations chemoselectivity, regioselectivity, stereoselectivity, enantioselectivity.
Protecting groups.
14. Chemistry of aromatic and aliphatic heterocyclic compounds.15. Physical characterisation of organic compounds by IR, UV-, MS, and NMR.
1. Chemistry in nanoscience and technology.
Interdisciplinary topics
2. Catalysis and green chemistry.
3. Medicinal chemistry.
4. Supramolecular chemistry.
5. Environmental chemistry.
4 SCHOOL OF MATHEMATICS AND COMPUTER APPLICATIONS
Ph.D (Computer Applications)
Number Representation and Computer Arithmetic.
Computer Organization : Machine instructions and addressing modes, ALU and data-paths, hardwired and micro-
programmed control pipelining , memory interface, I/O interfaces, serial communication interface, parallelprocessing, memory management
Structured and object oriented programming concepts (with reference to C/ C++):
Program control, functions, recursion, scope, binding, parameter passing, pointers, array handling, structures and
unions, file handling, concepts of Object Oriented Programming.
Data Structures: Notion of abstract data types, stacks, queues, linked lists, trees, heap,graphs, Tree and graph
traversals, hashing, sorting, searching.
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Operating Systems: Definition and significance of OS, OS as resource manager, Classical concepts processes,
concurrency, synchronization, deadlock, threads and inter-process communication, CPU scheduling, memory
management, file systems, I/O systems, protection and security, DOS, UNIX and windows.
Database Management Systems: Relational model, ER diagram, relational algebra, database design, normalization,
SQL, transactions management and concurrency control.
Computer Networks: OSI reference model, sliding window protocols, LAN technologies (Ethernet, Token ring),
TCP/UDP, IP, , Networking addresses, transmission medias, Networking devices-Hub, switches. gateways and routers.
Software Engineering: Basics of s/w engineering, Software Process models, software project planning and
management.
Ph.D Mathematics
Differential Equations: Ordinary differential equations of first order and their solutions, Linear differential
equations of higher order with constant coefficients, Classification of partial differential equations, Partial
differential equations of first order, Lagranges solution, Charpits method. Special Functions
Analysis: Riemann integral, Integrability of continuous and monotonic functions, Mean value theorems of integral
calculus, Infinite series and their convergence, Demoivres theorem and its applications, Functions of complex
variables, Analytic function, C-R equations.
Abstract Algebra: Groups, Subgroups and their properties, Lagranges theorem, Rings, Subrings, Integral domain
and Field, Vector spaces, Subspaces and their properties, Inner product spaces, Orthogonal vectorsStatistics and Probability :Measures of central tendency, Dispersion, Skewness and kurtosis, Correlation andregression, Basic concepts of probability, Conditional probability, Bayes theorem, Discrete and continuousdistributions ( Binomial , Poisson and Normal),.
Metric spaces: Open and Closed Sets, Interior, Closure and limit points of a set, Subspaces, Continuous functions
on metric spaces. Convergence in a metric space, Complete metric spaces, Compact metric spaces, Compactness
and uniform continuity, Connected metric spaces.
Topological Spaces: Definition and examples of topological spaces, Topology induced by a metric, closed set,
closure, Dense subsets, Neighborhood, Interior, Exterior, boundary and Accumulation points and derived sets,
Bases and subbases, Topology generated by subbases, subspaces and relative topology, Lindelof spaces, Separable
spaces, Second countability and separability, separation Axioms, 43210 ,,,, TTTTT spaces and their
characterization and basic properties, Compact spaces and their basic properties,Laplace Transform: Review of Laplace transform, Applications of Laplace transform in initial and boundary value
problems
Fourier Series Definition, properties, Fourier integral theorem, Convolution theorem and Inversion theorem.
Functional analysis : Normed Linear space: Normed Linear spaceBanach space and examples, Quotient spaces,
equivalent norms, Bounded linear transformations, Normed linear spaces of bounded linear transformations,
Hilbert Spaces: Inner product spaces Hilbert spaces, orthogonality, Orthonormal sets, Bessels inequality, Parsevals
theorem, orthogonal complement and projection theorem,, , Operators: Adjoint operators, Self-adjoint operators,
positive operators, normal and unitary operators, projections.
Numerical Techniques: Number systems,Solution of non-linear equations,
Solution of system of linear equations, curve fitting, interpolation,
Numerical differentiation and integration, solutions of IVP.Optimization Techniques: Linear Programming: Graphical method, Simplex method,
Duality Theory and Sensitivity Analysis. Transportation and Assignment Problem:Initial Basic Feasible Solutions of
Balanced and Unbalanced Problems, Optimal Solutions. Network Analysis: Shortest Path problem. Minimum
Spanning Tree Problem. Maximum Flow Problem. Minimum Cost Flow Problem.
5 Department of Computer Science & Engineering
Analytical and Logical reasoning, Discrete Mathematical structures, Data structures, Operating systems, Object
Oriented Programming, Computer System Architecture, Computer Networks, Programming Languages, System
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Analysis and Design, Database Management Systems, Software Engineering, Algorithm Analysis and Design,
Software Project Management, Web Technologies, System Software, Compiler Construction, Computer Graphics,
Artificial Intelligence
6 Department ofElectronics and Communication Engineering
Discrete Time Signal Processing, Optical Communication Networks, Information and Communication Theory,
Antenna Systems, Advanced Communication Systems, Embedded Systems, RF Devices and Circuits, Advanced
Wireless Communication Systems, Soft Computing, Passive Optical Networks, Audio and Speech Processing,
Advanced Wireless Networks, Fractional Transforms and Applications, VLSI Signal Processing, Detection and
Estimation Theory, Advanced Computer Networks and Protocols, Microstrip Antennas, Advanced Optical
Technologies, Video and Image Processing, Error Coding Theory, Space-Time Wireless Communication, Wireless
Broadband Networks, Optoelectronics, IP over WDM, Adaptive Signal Processing, Wireless Sensor Networks, Next
Generation Wireless Systems and Networks, Digital Signal Processors, Logic Synthesis using HDLs, Physics of
Semiconductor Devices, IC Fabrication Technology, Digital VLSI Design, CAD Systems Environment, Analog IC
Design, VLSI Architectures, Physical Design Automation, VLSI Subsystem Design, ASICs and FPGAs, VLSI Testing and
Verification, MOS Device Modeling, Memory Design and Testing, Mixed Signal Circuit Design and High Speed VLSI
Design.
7 Department of Chemical Engineering
Process Calculations and Thermodynamics: Laws of conservation of mass and energy; degree offreedom analysis, first and second laws of thermodynamics and their applications, phase equilibria;
chemical reaction equilibrium.
Fluid Mechanics and Mechanical Operations. Fluid statistics, bernoulli equation, macroscopic friction factors,
dimensional analysis, flow through pipeline systems, flow meters pumps and compressors, packed and fluidized beds,
size reduction and size separation.
Heat Transfer: Conduction, convection, radiation, heat exchangers, evaporators.
Mass Transfer: Ficks law, molecular diffusion in fluids, distillation, absorption and drying.
Chemical Reaction Engineering: Kinetics of homogeneous reactions, interpretation of kinetic data, residence time,
kinetics of heterogeneous catalytic reactions; diffusion effects in catalysis. Instrumentation and Process Control:
Dynamics of simple systems, controller modes (P, PI and PID).
Plant Design and Economics: Design and sizing of chemical engineering equipment, principles of process economics and
cost estimation.
Chemical Technology: Inorganic chemical industries; sulfuric acid, NaOH, fertilizers (Ammonia, Urea, SSP and TSP);
organic chemical industries (Pulp and Paper, Sugar, Oil and Fats); petroleum refining and petrochemicals: polymerization
industries; polypropylene, PVC and polyester synthetic fibers.,
Process Modeling and Simulation: Equation of continuity, momentum, energy, CSTR, exchangers, distillation.
Mathematics: Algebra, calculus, and differential equations: first order (linear and nonlinear).
Numerical Methods: Numerical solutions of linear and non linear algebraic equations,
integration by trapezoidal and Simpsons rule, single and multi-step methods of differential equations
Probability and Statistics: Mean, median, mode and standard deviation, random variables, Poisson,
normal and binominal distributions.
Chemistry: Kinetics, spectroscopy, colligative properties, organic synthesis
Biotechnology: Biochemical kinetics, bioreactors, transport phenomena in bioprocess systems
Environment: The physical environment: land, water, air and climate environments, sustainability, analysis of natural
resource base management practices, analysis of agricultural and industrial systemsEnergy Technology: Primary and secondary fuels, solar, wind, biomass, geothermal and nuclear energy.
8 Department ofElectrical and Instrumentation Engineering
a) Electrical EngineeringIntroduction to circuits and networks analysis of circuits; Fundamentals of AC: single phase, 3phase; Network
Analysis and synthesis; Basic electronics (Diode, Transistor, FETs, Op-Amp); Elements of power systems:
Transmission line, modeling and performance, Load flow analysis , fault analysis, ALFC and AVR control, Switchgear
and protection, HVDC transmission; Electrical machines: construction and working of DC machines, induction and
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synchronous machines, fractional horse power machine, Generalized theory of electrical machines; Control
Engineering : Open loop and closed loop control, signal flow graphs, stability, controllers, state space
representation; Power Electronics : Power electronic devices and their applications; AC and DC drives;
Fundamentals of instrumentation; Fundamentals of computer programming; Intelligent techniques.
b) Electronic Instrumentation and Control Engineering:
Fundamentals of Measurement and Instrumentation systems, Static and dynamic characteristics of Measurement
Systems, Measurement of various physical quantities; Introduction to circuits and networks analysis; DigitalElectronics: Boolean functions and their minimization, Combinational and Sequential circuits, IC families, A/D , D/A;
Microprocessors and Microcontrollers; Analog Electronics: Characteristics of diode, BJT, JFET and MOSFET, Op-
Amp and its applications; Digital signal processing techniques; Analytical, Optical and Biomedical Instrumentation:
Spectrometry, X-ray and nuclear radiation measurements, Laser, fiber optics, Elements of Biomedical instruments,
EEG, ECG and EMG. Clinical measurements; Control Engineering : Feedback principles, Transient Response, Steady-
state-errors, Stability, Routh and Nyquist criteria, Bode plot, Root locus, State space representation, PID
controllers; Intelligent Algorithms: Fuzzy Systems, Artificial Neural Networks, Genetic Algorithm, Hybrid Systems;
Power Electronics and Drives: Power electronic devices and their applications; AC and DC drives.
9 Department of Civil Engineering.
Mechanics: Bending moments and shear forces in statically determinate beams -- simple stress and strain:
relationship -- stress and strain in two dimensions, principal stresses, stress transformation, Mohrs circle -- simple
bending theory -- flexural shear stress -- thin-walled pressure vessels -- uniform torsion.
Specialization: STRUCTURES
Structural Analysis: Analysis of statically determinate trusses, arches and frames -- displacements in statically
determinate structures and analysis of statically indeterminate structures by force/energy methods -- analysis by
displacement methods (slope-deflection and moment-distribution methods) -- influence lines for determinate and
indeterminate structures -- basic concepts of matrix methods of structural analysis.
Concrete Structures: Basic working stress and limit states design concepts -- analysis of ultimate load capacity and
design of members subject to flexure, shear, compression and torsion (beams, columns isolated footings) -- basic
elements of prestressed concrete: analysis of beam sections at transfer and service loads.
Steel Structures: Analysis and design of tension and compression members, beams and beam-columns, column
bases -- connections - simple and eccentric, beam-column connections, plate girders and trusses -- plastic analysis
of beams and frames.
Soil Mechanics: Origin of soils -- soil classification -- three-phase system, fundamental definitions, relationship and
inter-relationships -- permeability and seepage -- effective stress principle: consolidation, compaction -- shear
strength.
Specialization: GEOTECHNICAL ENGINEERING
Foundation Engineering: Sub-surface investigation - scope, drilling bore holes, sampling, penetrometer tests, plate
load test -- earth pressure theories, effect of water table, layered soils -- stability of slopes - infinite slopes, finite
slopes -- foundation types - foundation design requirements -- shallow foundations -- bearing capacity, effect of
shape, water table and other factors, stress distribution, settlement analysis in sands and clays -- deep foundations
- pile types, dynamic and static formulae, load capacity of piles in sands and clays.
Highway planning -- Geometric design of Highways -- Testing and specifications of paving materials -- Design of
flexible and rigid pavements. Pavement Evaluation and Pavement Management Systems.
Specialization: HIGHWAY AND TRANSPORTATION ENGINEERING
Fluid Mechanics and Hydraulics: Hydrostatics applications of Bernoulli equation, Laminar and turbulent flow in
pipes, pipe networks -- concept of boundary layer and its growth -- uniform flow, critical flow and gradually varied
flow in channels, specific energy concept, hydraulic jump -- forces on immersed bodies -- flow measurement in
channels -- tanks and pipes -- dimensional analysis and hydraulic modeling. Applications of Momentum equation,
Potential flow, Kinematics of f low -- Velocity triangles and specific speed of pumps and turbines.
Specialization: WATER RESOURCES AND HYDRAULICS
Hydrology: Hydrologic cycle -- Rainfall -- evaporation infiltration, unit hydrographs, flood estimation, reservoir
design, reservoir and channel routing, well hydraulics.
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Irrigation: Duty, delta, Estimation of evapo-transpiration -- crop water requirements -- design of lined and unlined
canals -- waterways -- head works, Gravity dams, Ogee spillways, Earth dams. Designs of weirs on permeable
foundation, Irrigation methods
10 Department of Mechanical Engineering
Section A
Solid Mechanics, Machine Design, Theory of Machines, Mechanical Vibrations, Machine Drawing, CAD CAM and
Robotics, Computer Programming, Finite Element MethodSection B
Thermodynamics, Steam Engineering, IC Engines and Gas Turbines, Turbo Machines, Fluid Mechanics and
Machinery, Refrigeration and Air Conditioning, Heat and Mass Transfer, Power Plant Engineering, Non-
conventional Source of Energy, Computational Fluid Dynamics
Section C
Industrial Engineering, Plant layout, Production Management, Work Study, Inspection and Quality Control,
Manufacturing Processes/Technologies, Machining Science, Measurement Techniques, Industrial Automation,
Material Science and Metallurgy.
11 Department of Biotechnology and Environmental Sciences
Biotechnology
Biochemistry: Atoms, Molecules and chemical bonds; Structure and function of biomolecules, biophysical
chemistry Bioenergetics, biological energy transducers, oxidative phosphorylation ; Enzymes and enzyme kinetics;proteins conformations, structures and functions; conformation of nucleic acids, metabolism of carbohydrates,
fats, amino acids, nucleotides and vitamins.
Cell structure and Organization: Membrane structure and function; organization and function of intracellular
organelles; genetic information; Cell division and cell cycle; Microbial physiology.
Fundamental Life processes: DNA replication, repair and recombination; RNA synthesis and processing; Protein
synthesis and processing; Control of gene expression at transcription and translation level
Cellular Communications: Host parasite interaction; Cell signaling; Cancer and Immune responses (innate and
adaptive)
Developmental Biology of Animal and Plant systems: Concepts of development, gametogenesis; fertilization;
morphogenesis and organogenesis; Programmed Cell death and aeging.
Plant and Animal Physiology: Photosynthesis; Respiration and photorespiration; Nitrogen metabolism; Plant
hormones; Solute transport and photoassimilate translocation; Secondary metabolites; Stress physiology. Blood
and circulation; Cardiovascular System, Respiratory system ; Nervous system; Sense organs; Excretory system;
Thermoregulation; Stress and adaptation; Digestive system: Endocrinology and reproduction
Heredity and Genetics: Mendelian principles; Concept of gene; Extensions of Mendelian principles; Gene mapping
methods; Extra chromosomal inheritance; Microbial genetics; Quantitative genetics; Mutation: Structural and
numerical alterations of chromosomes; recombination
Biodiversity: Principles and methods of taxonomy Levels of structural organization Outline classification of plants,
animals and microorganisms; Organisms of health and agricultural importance
Ecology and Molecular Evolution: the Environment; Habitat and niche; Population ecology; Species interactions;
Community ecology; Ecological succession; Ecosystem geography; Applied ecology; Conservation biology;
Molecular Evolution
Applied Biology: Microbial fermentation products, vaccines and diagnostics; genomics; biodiversity applications;
plant and animal breeding marker assisted selection; Bioremediation; phytoremediation and biosensors
Methods in biology: Molecular biology and recombinant DNA methods; Histochemical and immunotechniques;Statistical Methods: Biophysical methods; Radiolabeling techniques; Microscopic techniques; computational
methods
Environmental Sciences
Interactions between humans and environment; The physical environment- land water, and climate; Resources
and their management- Natural, Technological and Human; Concept of sustainability- Natural ecosystems and
sustainability; Agricultural and Industrial systems from the angles of environment protection; Environmental
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Chemistry- Analytical Techniques and instrumentation; Atmospheric Chemistry; Basic Microbiology- nature and
extent of microbial world; growth and energetics, Microbiology of water and wastewater; Microbial Corrosion and
biofouling; Quantity of Water- per capita demand, factor affecting the demand; Quality of water- physical,
chemicals and biological characteristics, Treatment of water- Sedimentation, Coagulation; filtration; Chlorination;
absorption; adsorption, and Miscellaneous methods; Sewage and sewerage systems; Primary and Secondary
treatment of sewage- aerobic and anaerobic processes and their applications in the wastewater treatment.
12 L M THAPAR SCHOOL OF MANAGEMENT
Research Aptitude
Research: Meaning, ethics &characteristics Type of research Methods of research
Verbal Reasoning
Verbal Speed Test- Spelling and Grammar Verbal Power Test- Critical Reasoning
Reading Comprehension
A passage to be set with questions to be answered with emphasis on major functional areas ofmanagement
Logical Reasoning
Arguments, deductive & inductive research Logical & Venn diagram Inferences Analogies
Data Interpretation
Interpretation of data
Mapping analysis of data Analysis & Tools for data analysis Quantitative &qualitative research
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Model questions
1. The decreasing order of the first ionization energy of the following elements is
(A) He > H > Be > B
(B) Be > B > H > He
(C) H > He > Be > B
(D) B > Be > He > H
2. The solubility products (Ksp) for three salts MX, MY2 and MZ3 are 1108
, 4109
and 27108
, respectively. The solubilities of these salts follow the order
(A) MX > MY2 > MZ3
(B) MZ3 > MY2 > MX
(C) MZ3 > MX > MY2
(D) MY2 > MX > MZ3
3. The rate of nitration of following aromatic compounds decreases in the order
(i) benzene (ii) pyridine (iii) thiophene (iv) toluene
(A) (iv) > (i) > (iii) > (ii)
(B) (iii) > (iv) > (i) > (ii)
(C) (iii) > (ii) > (i) > (iv)
(D) (ii) > (i) > (iv) > (iii)