NEST

National Entrance Screening Test 2020

National Entrance Screening Test 2020

Mode of ExamOnline
LevelUG/PG
Level of ExamNational Level

NEST 2020 Application Form has been started from 8th January 2020. The exam will be organized by the NISER, Bhubaneswar and UM-DAE-CEBS, Mumbai jointly. This is a national entrance screening test conducted every year to offer admission into 5 years of Integrated M.Sc programmes in Biological, Mathematical, Chemical and Physical sciences. Admission will be offered to the candidates who will qualify the entrance exam successfully. In this article, we have provided all the details related to NEST 2020.

 

NEST 2020 Important Dates

Below we have provided all the official dates for various events of NEST 2020:

Events

Dates 2020

Release of NEST 2020 Notification

4th January 2020

Release of Online application Form

8th January 2020

Last date to fill the application form

3rd April 2020 19th April 2020

Release of Admit card

24th April 2020

NEST 2020 Exam

6th June 2020

Announcement of Result

16th June 2020

NEST 2020 Application Form

Candidates can check the complete details of the NEST 2020 application form:

  • The online registration process of NEST 2020 has been started from 8th January 2020.
  • The online application process consists of various stages like registration process, filling the application form, uploading the documents & images and payment of application fee.
  • Candidates have to submit the application form till 3rd April 2020.
  • Before filling the application form candidates must be ready with their necessary documents like class 10th and 12th Mark sheet and Pass certificate, passport size photograph digital copy and scanned image of their signature.
  • Candidates must fill their application form carefully as no modification or correction facility will be provided later.
  • At the time of filling the application form candidates have to fill their preference of exam city.

Application fee:

The application fee of NEST 2020 for various categories is:

  • For General and OBC Male Candidates – Rs.1200
  • For ST/SC/PWD/Female/Male (SC & ST) Candidates – Rs.600

Applicants can pay the application form fee by online mode through SBI Payment gateway/net banking/debit card or credit card.

 NEST 2020 Admit Card

The NEST 2020 admit card will be made available for downloading from 24th April 2020. Students have to download their admit card online. The authority will not send the admit card by post or any other offline mode.

For downloading the admit card, candidates have to enter their User Id and Password. On the day of examination, candidates must bring their admit card along with a photo id proof for identity verification.

NEST 2020 Answer Key

NEST 2020 answer key will be published through online mode after the completion of exam. With the help of answer key, students will be able to check the correct answers of the questions asked in the test. Moreover, students will be able to calculate their probable score of entrance exam.

The answer key will be available in two sets – A & B. Also, students can challenge the answer key in case any discrepancy arises in it. To access the answer key, candidates have to enter their roll number and date of birth.

NEST 2020 Cut Off

After the result declaration, NEST 2020 cut off will be published online. Students securing the qualifying marks successfully in the entrance exam will be considered eligible to participate for further admission process.

As per the previous year trends, below we have provided the expected cut off marks for various categories:

Categories Expected Cut off Marks
General 95
OBC 90
SC/ST/PwD 75

NEST 2020 Result

After the completion of NEST 2020 entrance exam, the board will publish the result. It will be released on 16th June 2020. Candidates have to enter their User id and Password to check the result and download the scorecard.

The scorecard will mention certain details like candidate’s name, date of birth, date of examination, registration number, score, rank, photograph and qualifying status.

Candidates qualifying the entrance test with minimum qualifying marks will be shortlisted in the merit lit and called for counselling process. To qualify the test, candidates have to overall score 90 out of 180 marks.

NEST 2020 Counselling

The counselling process of NEST 2020 will start after the selection of candidates and release of merit list. It will be conducted through offline mode in various rounds. At the time of counselling, the document verification and seat allotment of the qualified candidates will be done.

As per the counselling process of NISER and UM-DAE-CEBS, qualified candidates will be allotted seats in the respective courses and institutions. Candidates have to appear for counselling process at NISER and UM-DAE-CEBS campuses separately within the prescribed time period.

During the counselling process, candidates have to produce various necessary documents for the document verification process. These documents are listed below:

NEST 2020 Eligibility Criteria

Check the complete eligibility criteria of NEST 2020 before filling the application form:

  • Qualifying Exam: Candidates must have passed his/her 12th level exam or its equivalent from a recognized Board or University in the year 2018 and 2019.
  • Minimum Marks: Applying candidate should have secured minimum aggregate of 60% marks. For ST/SC candidates, minimum aggregate marks are 55%.
  • Qualifying Subjects: Candidate in the qualifying exam must be passed with the subjects of Chemistry, Mathematics, Biology and Physics in 11th and 12th
  • Age Criteria: Candidates belonging to General or OBC category must have born on or after August 1, 2000. For ST/SC candidates there will be age relaxation of 5 years.
  • Appearing candidates: Candidates appearing in the final year of their qualifying exam can also apply.

 

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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NEST 2020 Exam Pattern

NEST 2020 exam will be a computer-based test (CBT / online). The examination will be held in the two sessions and the duration of the test will be of 3 hours and 30 Minutes. The question paper will consist of MCQ type questions and the test will be divided into five (05) sections namely, General section, Biology, Chemistry, Mathematics, and Physics. The General Section is compulsory for all the candidates, whereas, the candidates can attempt at least three of these four (Biology, Chemistry, Mathematics, and Physics) subject sections.

The distribution of question in each of these sections is as follows:

Section

Name of the Section

Number of question

Total Marks

1

General section

10

30

2

Physics

15

50

3

Chemistry

15

50

4

Biology

15

50

5

Mathematics

15

50

Marking Scheme: In the subject sections, for certain questions, there shall be a negative marking for incorrect answers. Some questions may have one or more correct answers for which marks can only be earned by marking all correct answers and no wrong answer. Check the marking scheme for NEST 2020 below.

Name of the Section

Marks for Correct Answer

Is there negative marking?

Marks for Incorrect Answer

General section

03

X

0

Physics

03

-1

Chemistry

03

-1

Biology

03

-1

Mathematics

03

-1

 

Syllabus for NEST 2019

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 ΔGo in chemical equilibrium. Relationship of K and ΔG. Ionic equilibrium. Acids and bases (Bronsted and Lewis concepts), salts. Ka, Kb, Kw, 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:

  1. Adsorption – Physisorption and chemisorptions. Factors affecting adsorption of gases on solids. Adsorption isotherm. Catalysis – homogeneous and heterogeneous, Activity and selectivity. Enzyme catalysis.

(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 KMnO4, sulphuric acid,

Reduction of alkenes and alkynes, Preparation of alkenes and alkynes by elimination reactions (excluding stereochemistry), Electrophilic addition reactions of alkenes with X2, HX, HOX and H2O (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. SN1 and SN2 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, ZnCl2/ HX, H2SO4. 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 H2O, HX.

Aldehydes and Ketones – Preparation of aldehydes and ketones from – Alcohols, olefins, acid chlorides, arylalkanes, nitriles, esters, Friedel–Crafts reaction. Reactions with – Alcohols, HCN, NaHSO3. 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.

 

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 :

4th January 2020

Application End Date :

19th April 2020

Exam Date :

6th June 2020

Result Date :

16th June 2020

Conducted By :

National Entrance Screening Test 2017

Official Website : http://www.nestexam.in

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