National Entrance Screening Test (NEST) is a compulsory test for students seeking admission to National Institute of Science Education and Research (NISER) Bhubaneswar and University of Mumbai - Department of Atomic Energy Centre for Excellence in Basic Sciences (UM-DAE CEBS), Mumbai. Both NISER and UM-DAE CEBS were set up by Department of Atomic Energy, Government of India in 2007. Their mandate is to train scientific manpower for carrying out cutting edge scientific research and for providing input to scientific programmes of Department of Atomic Energy and other applied science institutions in the country. The test is conducted in around 60 cities [see list] (over 100 venues) across India. The brochure gives the detailed procedure for applying for the test, syllabus of the test and various dead lines.
NISER, Bhubaneswar and UM-DAE CEBS, Mumbai are in compliance with the UGC and Govt. of India guidelines on anti-ragging. Ragging in any form is a punishable offense and hence is totally prohibited on these campuses. Any complaint regarding ragging can be made at the 24x7 toll-free National Anti-Ragging Help Line number 1800-180-5522 and/or at the email-ID helpline@antiragging.in.
NISER established by the Department of Atomic Energy, strives to become a citadel for basic sciences and allied subjects in terms of teaching and research. Its vision includes imparting high-quality science education in a vibrant academic ambiance to the bright, motivated students, by a faculty of distinguished scientists and teachers. The curriculum is amply supported by a strong visitor's programme by accomplished scientists from India and abroad.
NISER offers a 5 year integrated M.Sc. programme in Biological, Chemical, Mathematical and Physical sciences. NISER functions from its own campus at Jatni. Degrees at NISER will be awarded by the Homi Bhabha National Institute (HBNI), a deemed-to-be University within the Department of Atomic Energy.
There are 170+2 seats for 2017 batch, including reserved seats for SC/ST/OBC/PD candidates and two seats for candidates from the state of J&K as per Government norms. To avail reserved seats under OBC category the OBC (NCL) certificate must have been issued on or after June 01, 2016. Further details about the institute are available on the NISER website (http://www.niser.ac.in). Fee structure for integrated MSc programme at NISER can be found here.
Overview : 5 year Integrated M.Sc.
NISER offers a 5-year integrated M.Sc. Programme in basic sciences after 10+2 years of schooling (or equivalent). At present the institute has four major schools, namely Biology, Chemistry, Mathematics and Physics. After successful completion of the academic requirements students are awarded a Master of Science degree in one of the four subjects: biology, chemistry, mathematics or physics. The programme has a balanced semester-based course structure with a flexible seamless curricula which emphasize interdisciplinary nature of science in the 21st century and promote exploration, innovation and research. Normally, selected students will be accepted in the school of their choice, subject to availability of seats. At the end of the first year, a student will have an opportunity to change to another school, subject to availability of a seat in that school.
The curriculum for the first two semesters (first year) is common to all students and specialization begins from the third semester. The core courses in the subject of specialization provide strong foundations in both theoretical and experimental aspects of the discipline. Even after specialization in second year, students are required to go through a certain number of courses in other desciplines. All students are required to go through a small number of compulsory courses in humanities, technical communication, history of science, environmental and energy sciences.
The fourth year of the integrated M.Sc. Programme is devoted to advanced courses in various sub-disciplines. In the fifth year every student will undertake a guided research project. The outcome of the investigation will be reported in the form of a thesis. Throughout the five-year programme, students will be encouraged to take up summer projects and visit reputed national laboratories and universities. Eminent scientists from India and abroad will be regularly invited to give colloquia/seminars and interact with the students. In short the curricula are designed to ensure depth in the area of specialization together with breadth of exposure and intellectual enrichment and to prepare the students for high level professional research and development career in national laboratories, universities and industry.
The academic session for fresh students generally begins in August every year.
Important Dates
Registration / Online application opens : January 01, 2018 (6:00 pm) [First Monday of January]
Online application closes : March 05, 2018 (midnight) [First Monday of March]
Download of admit card starts : April 25, 2018, 10:00 am
Date of examination : June 02, 2018 (Saturday), 10:00 am - 1:00 pm [First Saturday of June]
Announcement of results on NEST website : June 18, 2018 [Third Monday of June]
Click here Details of All : Entrance Exams 2018
Recommended Books
Books play a very important role for the preparation of any kind of examination. The following table shows the names of the books which every aspirant must study:
NEST
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'विद्यार्थी मित्र' जॉईन करा आणि मिळवा न्यूज, नोकरी, शासकीय व निमशासकीय नोकऱ्यांच्या जाहिराती व माहिती अगदी विनामूल्य ते ही आपल्या व्हॉटस्अॅपवर किंवा* *टेलेग्राम (https://t.me/VidyarthiMitra) हा मोबाईल नं. सेव्ह करून आपले <नाव> <शहराचे नाव> <नोकरी> ७७२०० २५९०० मेसेज पाठवा
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Candidates must qualify all four eligibility criteria listed below:
Candidates in General and OBC category should be born on or after August 01, 1997. The age limit is relaxed by 5 years for SC/ ST/ Physically Disabled (PD) candidates.
Class XII qualifying examination should be passed in either 2015 or 2016. Candidates appearing in 2017 are also eligible. (Where only Letter Grade is given by the Board, a certificate from the Board specifying equivalent percentage marks will be required. In the absence of such a certificate the decision of the respective Admission Committees will be final.)
At least 60% marks in aggregate (or equivalent grade) in Class XII (or equivalent) examination from any recognized Board in India. For Scheduled Caste (SC), Scheduled Tribes (ST) candidates and for Persons with Disability (PD), the minimum requirement is 55%.
Candidate should secure a position in the NEST merit list.
Click here Details of All : Entrance Exams 2018
Recommended Books
Books play a very important role for the preparation of any kind of examination. The following table shows the names of the books which every aspirant must study:
NEST
--------------------------------------------------------------------------------------------------------------------------------------------------------
Get free Educational & jobs alert on WhatsApp OR Telegram(https://t.me/VidyarthiMitra) Save this mobile number (77200 25900) on your phone as VidyarthiMitra.org and send WHATSAPP message (Your Name, City & Interest)
--------------------------------------------------------------------------------------------------------------------------------------------------------
'विद्यार्थी मित्र' जॉईन करा आणि मिळवा न्यूज, नोकरी, शासकीय व निमशासकीय नोकऱ्यांच्या जाहिराती व माहिती अगदी विनामूल्य ते ही आपल्या व्हॉटस्अॅपवर किंवा* *टेलेग्राम (https://t.me/VidyarthiMitra) हा मोबाईल नं. सेव्ह करून आपले <नाव> <शहराचे नाव> <नोकरी> ७७२०० २५९०० मेसेज पाठवा
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Syllabus for NEST 2018
General Section:
There is no specific syllabus for the General section. The aim is to test candidate's aptitude for a career in science. Questions are designed to test the candidate’s familiarity with (and not a detailed understanding of) major historical milestones in mathematics, physics, chemistry, biology, astronomy, computer science and environment. There will be some questions designed to test the grasp of mathematics up to 10th standard and application capabilities of the same to simple problems. Some questions in this section aim to test the candidate’s general ability to comprehend qualitative and quantitative aspects of a given scientific passage. This is done by giving a passage on some scientific topic and questions based on the concepts elaborated in the passage will be asked. Some questions may aim to find whether the candidates can interpret graphical and \ or tabular representation of information.
Biology:
Cell Biology: Cell theory and cells as unit of life. Basic concepts of biomolecules – Proteins, Carbohydrates, Lipids, Nucleic acids. Tools and techniques of cell studies – use of microscope and calibration (microscopy), elements of microscope. Biomembranes – transport mechanism, cellular respiration. Cell organelles – structure and functions. Discovery and structure of DNA, processes of replication, transcription, genetic code and translation. Principles of the basic techniques in molecular biology. Enzymes– catalysis, kinetics, activation energy, competitive and non– competitive inhibition.
Genetics and Evolution: Fundamentals of genetics and evolution. Evidences and theories of organic evolution. Organization of the heredity material in chromosomes. Equational division. Reduction division. Mitosis and meiosis compared and contrasted. Significance of meiosis. Mendel's laws of inheritance. Discovery of linkage. Crossing– over, stage at which crossing– over occurs. Neurospora genetics. Mutation – discovery, types of Mutation and Mutations in diploids. Role of mutations in evolution. Elaboration of Mendel's laws of inheritance. Monohybrid or Dihybrid crosses. Human genetics – human chromosomes, gender–determination, gender–linked inheritance.
Ecology: Physical and biological factors in influencing organisms. Food chains, pyramids of numbers and biomass. Biological equilibrium. Interspecific associations. Bio–diversity. Flora and fauna. Basics of microbial systems, Ecosystems.
Humans and Environment: Soil, rainfall and temperature with reference to natural resources. Our natural resources – their uses and abuses. Environmental pollution and preventive measures. Biodiversity and conservation.
Biotechnology: Principles of recombinant DNA technology. Applications of biotechnology.
Biology of Animal systems:
Digestive System – Modes of nutrition. Different vitamin compounds and their deficiencies. Structure of alimentary canal and associated glands, digestive enzymes and gastrointestinal hormones. Absorption of products of digestion, peristalsis, balanced diet. Respiratory System – Gaseous exchange in animals. Structure of respiratory organs, mechanism of breathing, gaseous transport, tissue respiration.
Circulatory System – Open and closed systems. Functions of blood and 1ymph. Microscopic structure of blood and blood vessels. Structures and working of heart. Distribution of arteries and veins. Circulation of blood coagulation. Blood groups.
Excretory System – Elimination of nitrogenous waste. Osmoconformers and osmoregulators.
Structure and function of kidney tubules. Arrangement of excretory organs.
Nervous System – General account of brain, spinal cord and nerves. Re ex actions (simple and conditioned). Sense organs (eye and ear).
Reproductive System – General arrangement and functions of reproductive organs.
Developmental Biology: Basic features of development in animals. Types of eggs, fertilization, cleavage, blastula. Stem cells– definition, types, uses, advantages and disadvantages, induced pluripotent stem cells. Different hormones and their roles. Diversity of Animal Life — Principles of classification, binomial nomenclature. General classification of animal phyla up to classes (invertebrates) and up to sub–classes / order (vertebrates), General characters of fishes, amphibians, reptiles, birds and mammals.
Immunology: Basics of immune mechanisms and diseases– active and passive immunity, T-and B-cell responses, antigen presentation, principles of vaccination, monoclonal antibodies and their uses, immunology of AIDS.
Biology of Plant systems: Anatomy and Physiology of Plants – Meristems. Plant growth and development. Internal and external regulators of growth and development in plant. Plant reproduction. Internal structure of root, stem, secondary growth and leaves. Xylem and Phloem – their cell elements and functions. Internal structure of dicot and monocot leaves. Photosynthesis – history, importance, factors and mechanism, stomatal mechanism, transpiration and respiration. Comparative study of dicot and monocot anatomy. Absorption and cell–water relations, transport of water and minerals, tropic and turgor movements. Significance of life–cycles with special reference to alternation of generations as exemplified in Funaria, Selaginella and Pinus (no structural details). Plant hormones.
Systematics: Principles of classical and new systematics. Binomial nomenclature. Familiarity with taxa. Plant breeding and tissue culture.
Chemistry:
Physical Chemistry:
Measurements in chemistry - SI units for fundamental quantities, significant figures in calculations.
Mole concept - Avogadro number and mole concept, molar masses, mole fraction, molarity, molality, percent composition, stoichiometry. Equivalent weight and normality. Calculations based on mole concept and stoichiometry of different reactions. Oxidation– reduction reactions.
Gaseous and liquid states - Absolute scale of temperature. Gas laws, ideal gas equation, real gases and deviation from ideality, liquefaction of gases, van der Waals equation. Kinetic theory of gases; average, root mean square and most probable velocities and their relation with temperature. Law of partial pressures. Vapour pressure. Diffusion of gases.
Atomic structure and chemical bonding - Bohr model, spectrum of hydrogen atom, quantum numbers. Wave particle duality, de Broglie hypothesis. Uncertainty principle. Orbitals and quantum numbers; shapes and energy of s, p and d orbitals. Electronic configurations of elements (up to atomic number 36), filling of orbitals – Aufbau principle. Pauli’s exclusion principle and Hund’s rule. Hybridization involving s, p and d orbitals. Atomic orbital overlap and chemical bonds; ionic, covalent and coordinate bonds; bond parameters. Orbital energy diagrams for homo–nuclear diatomic species. Lewis structures. Hydrogen bond. Polarity in molecules, dipole moment (qualitative aspects). VSEPR theory and shapes of molecules. Valence Bond Theory. Molecular orbital theory of homo–nuclear diatomic molecules (qualitative idea).
Thermodynamics - Thermodynamic states. First law of thermodynamics. Internal energy, work and heat, pressure–volume work. Enthalpy and enthalpy change, Hess’s law, heat of – reaction, fusion and vaporisation. Second law of thermodynamics, entropy, free energy, criterion of spontaneity.
Chemical equilibrium - Laws of chemical Equilibrium, law of mass action. Equilibrium constant – factors affecting equilibrium constant and its applications. Le Chatelier's principle - effect of concentration, temperature and pressure. Significance of ΔG and ΔG^{o} in chemical equilibrium. Relationship of K and ΔG. Ionic equilibrium. Acids and bases (Bronsted and Lewis concepts), salts. K_{a}, K_{b}, K_{w}, degree of dissociation, pH and their relationships. Solubility product, common ion effect. Hydrolysis of salts. Buffer solutions.
Electrochemistry - Redox reactions and electrode potential, Electrochemical cells, Galvanic cells and cell reactions. Standard electrode potential. Nernst equation and its relation to ΔG and K. Electrochemical series, emf of galvanic cells. Electrolysis and Faraday's laws of electrolysis. Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch's law. Concentration cells. Batteries (primary and secondary), fuel cells, corrosion.
Chemical kinetics - Rates of chemical reactions. Order of reaction, rate constant. First order and pseudo first order reactions. Factors affecting rate of reaction – concentration, temperature (Arrhenius equation), catalyst.
Solid state - Classification of solids, amorphous and crystalline solids, crystalline state, crystal lattice and unit cells; seven crystal systems (cell parameters a, b, c, α, β, ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices. Packing efficiency, nearest neighbours, ionic radii. Simple ionic compounds, Imperfection in solids, point defects. Electrical and magnetic properties, band theory of metals.
Solutions - Solution of solid and gas in liquid. Concentration of solution. Ideal and non-ideal solutions. Colligative properties. Vapour pressure of solution, Raoult's law. Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point. Abnormal molecular mass, vant Hoff factor. Osmosis – Osmotic pressure, reverse osmosis.
Surface chemistry:
(b) Colloidal state – Types, preparation and properties of colloids. Tyndall effect, Brownian movement, electrophoresis, coagulation. Application of colloids. Micelles.
Inorganic Chemistry:
Classification of elements and periodicity in properties - Modern periodic table, classification of elements, periodic trends in properties of elements – valence, oxidation state, atomic/ionic radius, ionization energy, electron gain energy, electronegativity, valency, chemical reactivity. Diagonal relationship. Anomalous behaviours of Li, Be, B, C.
Hydrogen - Isotopes, preparation, isolation, properties and uses. Hydrides – ionic, covalent and interstitial. Properties of water and heavy water. Hydrogen peroxide – Preparation, structure, reactions, uses. Hydrogen as fuel cell. s– Block elements (Alkali and alkaline earth elements) – General characteristics and trends in properties.
(a) Group 1: Preparation, properties and reactions of alkali metals with emphasis on chemistry of Na and K and their compounds – oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates. Uses.
Group 2: Preparation, properties and reactions alkaline earth metals with emphasis on the chemistry of Mg and Ca and their compounds – oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates. Uses. p– Block elements - General characteristics and trends in properties.
Group 13: Chemistry of Boron and its compounds – borax, boric acid and diborane.
Group 14, 15 and 16: Chemistry of carbon, sulphur, nitrogen and phosphorus. Allotropy. Chemistry of oxides and oxyacids of these elements. Phosphines, phosphorus chlorides, ammonia, peroxide and ozone; silicones, silicon tetrachloride and silicates.
Group 17: Chemistry of halogens, chemistry of chlorine in detail. Interhalogen compounds. HX and oxyacids of halogens.
Group 18: Isolation, properties and reactions of inert gases with emphasis on chemistry of Xenon. d–Block elements - (Mainly 3d elements) General characteristics and trends in properties. Variable oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin–only magnetic moment. Catalytic properties. Interstitial compounds, alloy formation. Preparation and properties of potassium dichromate and permanganate. f–Block elements- (mainly lanthanides) General characteristics and trends in properties.
Variable oxidation states. Lanthanide contraction and its consequences.
Coordination compounds -Nomenclature of mononuclear coordination compounds. Isomerism. Hybridization and geometries of mononuclear coordination compounds. Magnetic properties. Werner’s theory, VBT, CFT.
Metals and metallurgy - Occurrence of metals. General methods of extraction involving chemical principles – thermodynamic, electrochemical and redox principles. General operation stages involved in metallurgical operation. Metallurgy of p–block element (emphasis on Al). Metallurgy of Fe–triad (more emphasis on Fe metallurgy). Metallurgy of coinage metals (Cu, Ag with more emphasis on Cu). Refining.
Organic Chemistry:
Basic concepts - Representation of organic compounds. Hybridisations of carbon. Sigma and pi– bonds. Shapes of simple organic molecules. Inductive effect, electromeric effect, resonance effect, hyperconjugation. Keto–enol tautomerism. Determination of empirical and molecular formulae (only combustion method). Hydrogen bond – definition and effect on physical properties of alcohols and carboxylic acids. Acidity and basicity of organic acids and bases. Methods of purification of compounds.
Reactive intermediates - Homolytic and heterolytic bond cleavages. Formation, structure and stability of – carbocation, carbanion and free radical.
Isomerism - Structural and stereoisomerism. Geometrical isomerism. Chirality. Enantiomers. Optical isomerism of compounds containing up to two asymmetric centres, (R, S and E, Z nomenclature excluded). Racemic mixture. Conformations of ethane and butane (Newman projections).
Nomenclature - IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono– functional and bi–functional compounds), including benzene derivatives.
Alkanes - Preparation, properties and reactions. Idea of homologous series Combustion and halogenation of alkanes. Mechanism of photohalogenation, Wurtz reaction.
Alkenes and Alkynes - Preparation, properties and reactions of alkenes and alkynes. Isomerization. Acidity of alkynes. Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry), Reactions of alkenes with KMnO_{4}, sulphuric acid,
Reduction of alkenes and alkynes, Preparation of alkenes and alkynes by elimination reactions (excluding stereochemistry), Electrophilic addition reactions of alkenes with X_{2}, HX, HOX and H_{2}O (X=halogen). Makowniko rule. Peroxide effect. Polymerization of alkenes, Addition reactions of alkynes, Metal acetylides, Ozonolysis
Aromatic compounds - Aromaticity. Huckel theory of aromaticity. Structure of benzene. Isomerism in substituted benzenes. Electrophilic substitution reaction on benzene– General mechanism. Orientating influence of substituents in electrophilic substitution reaction of monosubstituted benzenes. Electrophilic substitution reactions of benzene and substituted benzenes – halogenation, nitration, sulphonation, Friedel–Crafts alkylation and acylation (No mechanism).
Haloalkanes (Alkyl halides) - Preparation from alkanes, alcohols, ole ns. Grignard reagents and their reaction with aldehydes/ketones/esters/nitriles. Nucleophilic substitution reactions of alkyl halides with different nucleophilic species. S_{N}1 and S_{N}2 reactions with mechanism. Halogen exchange reaction. Polyhalogen compounds.
Haloarenes - Nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).
Alcohols - Preparation from – ole ns, alkyl halides, carboxylic acids, aldehydes/ketones. Hydroboration reaction. Dehydration, oxidation to aldehydes and ketones. Reaction with sodium, phosphorus halides, ZnCl_{2}/ HX, H_{2}SO_{4}. Identification of p–, sec– and tert– alcohols. Uses of methanol and ethanol.
Phenols - Preparation of phenol from halobenzene, cumene and benzene sulphonic acid. Acidity. Reactions of phenols – halogenation, nitration, sulphonation, with Zn. Reimer– Tieman reaction, Kolbe reaction.
Ethers - Preparation by Williamson's Synthesis, dehydration of alcohols. Reaction with H_{2}O, HX.
Aldehydes and Ketones – Preparation of aldehydes and ketones from – Alcohols, olefins, acid chlorides, arylalkanes, nitriles, esters, Friedel–Crafts reaction. Reactions with – Alcohols, HCN, NaHSO_{3}. Reactions– oxidation, reduction, oxime and hydrazone formation. Aldol condensation, Perkin reaction. Cannizzaro reaction. Haloform reaction. Tests to distinguish aldehydes and ketones.
Carboxylic acids – Acidity and structure–acidity relationship. Preparation of acids. Preparation of amides, acid chlorides, esters and anhydrides. ester hydrolysis. Reactions of acids with – thionyl chloride, P–halides, ammonia, alkalis, metals, halogens, reducing agents. Decarboxylation. Halogenation.
Amines – Basicity and structure–basicity relationship. Identification of p–, sec– and tert– amines. Preparation of amines from – nitro compounds, nitriles, amides, haloalkanes/aromatic compounds. Reaction with – Acids, alkylating agents, acylating agents, nitrous acid. Diazotization of aromatic primary amines – Reactions of aromatic diazonium salts – azo coupling reaction, Sandmeyer and related reactions. Carbylamine reaction of p–amines.
Carbohydrate - Classification of carbohydrates. mono– and di– saccharides (glucose and sucrose). Characteristic tests. Structure of glucose. Reactions of glucose– Oxidation, reduction, hydroxylamine, HI, acetic anhydride. Cyclic structure of glucose. Structures of – Sucrose, maltose, starch and cellulose. Glycoside formation and hydrolysis of sucrose.
Amino acids and proteins - α–amino acids. General structure of peptides and proteins.
Peptide bond. Characteristic tests. Separation of amino acids using physical properties.Denaturation of proteins. Enzymes.
Polymers: Classification. Homo and co–polymers, Addition and condensation polymerizations. Polythene, nylons, polyesters, Bakelite, melamine–formaldehyde, rubber – natural and synthetic.
Mathematics:
Algebra:
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.
Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.
Logarithms and their properties.
Permutations and combinations, Binomial theorem for positive integral index, properties of binomial coefficients. Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew–symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
Trigonometry:
Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub–multiple angles, general solution of trigonometric equations.
Relations between sides and angles of a triangle, sine rule, cosine rule, half–angle formula and the area of a triangle, inverse trigonometric functions (principal value only).
Analytical geometry:
Two dimensions – Cartesian coordinates, distance between two points, section formulae, shift of origin. Equation of a straight line in various forms, angle between two lines, distance of a point from a line. Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines. Centroid, orthocentre, incentre and circumcentre of a triangle.
Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.
Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus Problems.
Three dimensions – Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.
Differential calculus:
Real valued functions of a real variable, into, onto and one–to–one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.
Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule for evaluation of limits of functions.
Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions. Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.
Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s Theorem and Lagrange’s Mean Value Theorem.
Integral calculus:
Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, Fundamental Theorem of Integral Calculus.
Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.
Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
Vectors:
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
Physics:
General: Units and dimensions, dimensional analysis, least count, significant figures. Methods of measurement (Direct, Indirect, Null) and measurement of length, time, mass, temperature, potential difference, current and resistance.
Design of some simple experiments, such as: i) Searle's method to determine Young's modulus, ii) determination of 'g' by simple pendulum, iii) speed of sound using resonance tube, iv) coefficient of friction using angle of repose, v) determination of focal length of a convex lens by plotting a graph between 'u' and 'v', vi) refractive index of material of prism using the method of minimum deviation, vii) verification of Ohm's law, viii) resistance of galvanometer using half deflection method, ix) specific heat of a liquid using calorimeter, x) I–V characteristic curve for p–n junction in forward and reverse bias.
Graphical representation and interpretation of data. Errors in the measurements and error analysis.
Mechanics: Kinematics in one and two dimensions (Cartesian coordinates only), projectiles. Uniform circular motion. Relative velocity. Newton’s laws of motion. Inertial and uniformly accelerated (linear only) frames of reference. Static and dynamic friction. Kinetic and potential energy. Linear and circular simple harmonic motion. Work and power. Conservation of linear momentum and mechanical energy.
Systems of particles. Centre of mass and its motion. Centre of gravity. Impulse. Elastic and inelastic collisions.
Law of gravitation. Centripetal acceleration and centrifugal force. Gravitational potential and field. Acceleration due to gravity. Motion of planets and satellites in circular orbits. Escape velocity.
Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes. Angular momentum, Torque.
Conservation of angular momentum. Dynamics of rigid bodies with fixed axis of rotation. Rolling without slipping of rings, cylinders and spheres. Equilibrium of rigid bodies. Collision of point masses with rigid bodies.
Hooke’s law and stress – strain relations. Elastic limit, plastic deformation. Young’s modulus, bulk and shear moduli.
Pressure in a fluid. Pascal’s law. Buoyancy. Surface energy and surface tension, capillary rise. Viscosity – Stoke’s and Poiseuille’s law, Terminal velocity. Qualitative understanding of turbulence. Reynolds number. Streamline ow, equation of continuity. Bernoulli’s theorem.
Sound and mechanical waves: Plane wave motion, longitudinal and transverse waves, superposition of waves. Progressive and stationary waves. Vibration of strings and air columns. Resonance (qualitative understanding). Beats. Speed of sound in gases. Doppler effect.
Thermal physics: Thermal expansion of solids, liquids and gases. Calorimetry, latent heat. Heat conduction in one dimension. Elementary concepts of convection and radiation. Newton’s law of cooling. Ideal gas laws. Specific heats (CV and CP for monoatomic and diatomic gases). Isothermal and adiabatic processes, bulk modulus of gases. Equivalence of heat and work. First and second law of thermodynamics and its applications (only for ideal gases). Entropy. Blackbody radiation – absorptive and emissive powers. Kirchhoff’s law. Wien’s displacement law, Stefan’s law.
Electricity and magnetism: Coulomb’s law. Electric field and potential. Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines. Flux of electric field. Gauss’s law and its application in simple cases, such as to find field due to infinitely long straight wire. uniformly charged infinite plane sheet and uniformly charged thin spherical shell.
Capacitance – Calculation of capacitance with and without dielectrics. Capacitors in series and parallel. Energy stored in a capacitor.
Electric current. Ohm’s law. Series and parallel arrangements of resistances and cells.
Kirchhoff’s laws and simple applications; Heating effect of current.
Biot–Savart’s law and Ampere’s law. Magnetic field near a current carrying straight wire, along the axis of a circular coil and inside a long straight solenoid. Force on a moving charge and on a current carrying wire in a uniform magnetic field.
Magnetic moment of a current loop. Effect of a uniform magnetic field on a current loop.
Moving coil galvanometer, voltmeter, ammeter and their conversions.
Electromagnetic induction – Faraday’s law, Lenz’s law. Self and mutual inductance. RC, LR and LC circuits with and A.C. Sources.
Optics: Rectilinear propagation of light. Reflection and refraction at plane and spherical surfaces, Deviation and dispersion of light by a prism. Thin lenses. Combination of mirrors and thin lenses. Magnification. Wave nature of light – Huygen’s principle, interference limited to Young’s double slit experiment. Elementary idea of diffraction – Rayleigh criterion. Elementary idea of polarization – Brewster’s law and the law of Malus.
Modern physics: Atomic nucleus. Alpha, beta and gamma radiations. Law of radioactive
decay. Decay constant. Half–life and mean life. Binding energy and its calculation. Fission and fusion processes. Energy calculation in these processes.
Photoelectric effect. Bohr’s theory of hydrogen like atoms. Characteristic and continuous X–rays, Moseley’s law. de Broglie wavelength of matter waves. Heisenberg’s uncertainty principle.
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Recommended Books
Books play a very important role for the preparation of any kind of examination. The following table shows the names of the books which every aspirant must study:
NEST
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Application Start Date | : | 1st January 2018 |
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Application End Date | : | 5th March 2018 |
Exam Date | : | 2nd June 2018 |
Result Date | : | |
Conducted By | : | National Entrance Screening Test 2017 |
Official Website | : | http://www.nestexam.in |