Organisation : Jharkhand Staff Selection Commission JSSC
Recruitment Exam : Combined Graduate(Technical/special qualification) Competitive Examination
Document Type : Syllabus
Website : https://www.jssc.nic.in/candidate-corner/archive/syllabus
JSSC Combined Graduate Competitive Exam Chemistry Syllabus
1. Atomic structure, Periodic properties and chemical bonding – Idea of de Broglie matter waves, Heisenberg uncertainty principle, atomic orbitals, Schrodinger wave equation, significance of Ψ and Ψ2, quantum numbers, radial and angular wave functions and probability distribution curves, shapes of S, p, and d orbitals, Aufbau and Pauli’s exclusion principles, Hund’s rule, electronic configuration classification of elements as s, p, d and f-blocks.
Periodic tables and periodic properties (atomic and ionic radii, ionization energy, electron affinity, electro-negativity) and their trends in periodic table, Their applications in chemical bonding.
Covalen bonding. V.B. Theory, VSEPR Theory, M O. Theory, homonuclear and heteronuclear diatomic molecules, bond order and magnetic properties.
Resonance, hydrogen bonds and vimder Waals forces. Ionic solids – Born-Haber cycle, Fajaris rule.
2. Gaseous states — Postulates of kinetic theory of gases, deviation from ideal behavior of van der Waal’s equation of state. Critical temperature, pressure and volume. Liquification of gases, Critical constants and vander Waals constants, the law of corresponding states, reduced equation of state Molecular velocities — r:m.s. velocity, average velocity, most probable velocity. Maxwell’s distribution of molecular velocities.
3. Solid State — Space lattice, Unit cell. Laws of crystallography. X-ray diffraction by crystals. Bragg’s equation coordination number radius ratio rule, detects in crystals and their magnetic and electric behavior semi-conductors and super conductors
4. Thermodynamics — Law of thermodynamics, work, heat, energy. State functions — E, H, S and G and their significance criteria for chemical equilibrium and spontaneity of reactions. Variations of free energy with T, P and V Gibbs Helmhotts equation. Entropy changes in gases for reversible and irreversible processes. Hess law Bond energy.
5. Chemical kinetics and catalysis — Order and molecularity, chemical kinetics and its scope, rate of a reaction, factors influencing rate of reaction. Rate equations of zero, first and second order reactions. Pseudo order, half life and mean life. Determination of order of reactions. Theories of chemical kinetics — collision theory, transition state theory, Arrhenius equation, concept of activation energy, effect of temperature on rate constant. Catalysis, characteristics of catalysed reactions, theories of catalysis, examples.
6. Electrochemistry — Electronic conduction in electrolytic solutions, specific, equivalents and molar conductance, effect of dilution on them, cell constant, experimental method of determining conductance.
Migration of ions and Kohlrausch, law. Arrhenius theory of electorlytic dissociation and its limitations, weak and strong electrolytes Ostwald’s dilution law, its uses and limitations Debye – Huckel Onsager’s equation (elementary treatment) Transport number – definition, determination by Hittor method.
Galvanic cells, electrodes and electrode reactions, Nernst equation, E.M.F. of cells, Hydrogen electrode, electrochemical series, concentration cell and their applications pH. Buffer solutions theory of buffer action,
7. Transition and inner transition metals and complexes — General characteristics of d-block elements, co-ordination components – nomenclature, isomerism and bonding in complexes V.B. theory and crystal field theory. Werners theory, eAN metal carbonyls, cyclopentadienys, olefin and acetylene complexes.
Compounds with metal-metal bonds and metal atom clusters.
General chemistry of f-block elements Lanthanides and actinides – ionic radic, separation, oxidation states, magnetic and spectral properties.
8. Non-aqueous solvents — Physical properties of a solvent, types of solvents and their general characteristics, reactions in non-aqueous solvents with reference to liqued NH3 and liquid SO2.
9. Photochemistry — Interaction of radiation with matter, difference between thermal and photochemical processes. Lawa of photochemistry — Grothus-Drapper law, stark-Einstein law, Jablonski diagram. Fluerescence. phosphorescence, Quantum yield Photoelectric cells.
10. Hard and soft arids and bases — Classification of acids and bases as hard and soft, Pearson’s HSAB concept, acid-base strength and hardness and softness, symbiosis, theoretical basis of hardness and softness, symbiosis, theoretical basis of hardness and softness, electro negativity and hardness and softness.
11. Structure and Binding — Hybridization, bond lengths and bind angles bond energy, localized and delocalized chemical bond, van der Waals interactions, inclusion compounds, clatherates, charge transfer complexes, resonance, hyperunjugation, aromaticity, inductive and field effects, hydrogen bonding.
12. Mechanism of organic reactions — Homolytic and heterolytic bond breaking, types of reagents – carbocations. and nucleophiles, types of organic reactions, Reactive intermediates – Carbocations, carbanions, free radicals, carhbenes, arynes and nitrenes (with examples) Different types of addition, substitution and elimination reactions – SN1, SN2, SNi, E1, E2, E1cb etc.
13. Stereochemistry of Organic Compounds — Isomerism, Optical isomerism – elements of symmetry, molecular chirality, enantiomers, stereogenic centre, optical activity properties of enantiomers, chiral and achiral moleculers with tar stereogenic centres, diastereomers. threo and erythro diastereomers, meso compounds, resolution of enantiomers. inversion, retention and racemizarion.
Relative and absolute configuration requence rule, D & L and R & S nomenclature.
Geometric isomerism: Determination of configuration of geometric isomers – E & Z nomenclature, geometric isomerism ot oximes and alecyclic compounds. Configuration and confurmation, conformations of ethane, butane and cyclohexane.
14. Organometallic Compounds — Organometallic compounds of Mg. Li & Zn their formation, preparation, structure and systhetic applications.
15. Organic Synthesis via enolates — Acidity of α-llydrogens, preparation, properties and synthetic applications of diethyl malonate and eithyl acctoacetate, keto-enol tautomeins.
16. Carbohydrates — Classification and nomenclature Monosacharides, mechanism of asazone formation, interconversion of glucose and fructose, chain lengthening and chain shortening of aldoses and ketoses, Anomers and epimers Formation of glycosides, ethers and esters Ring structure of glucose and fructose mechanism of mutarotation.
17. Polymers — Addition or chain growth polymerization. Free radical vingt polymerization, ionic vingl polymerizations, Ziegler – Natta polymerization and vinigl polymers. Condensation or step- growth polymerization, Polyesters, polyamider, phenol-formaldelyde resins, urea-formaldelyde resins, epoxy.resins and polyurethanes.
Natural and synthetic rubbers. Inorganic polymeric systems – silicones and phosphazenes, nature of bonding in triphosphazenes
18. Study of following types of organic compounds:
a. Alkanes and cycloalkanes — Preparation of alkanes – wartz reactions Kolbe reaction, Corey – House reaction etc physical and chemical properties, free-radical halogenation of alkanes – reactivity and selectivity. Cycloalkanes : Nomenclature, formation, properties – Baeger’s strain theory
b. Alkenes, cyclocalkenes, Diencs & Alkynes — Mechanism of dehydration of alcohols, and delydrogenation of alkyl halides, regioselectivity in alcohol dehydration. The saytzeff rule, Hofmanu elimination Mechanisn involved in hydrogenation, electrophilic and free radical additions, markownikoffs rule, kharasch effect, hydroboration – oxidation, oxymercuration – reduction, Epoxidation, Ozonolysis, hydration, hydroxyltion and oxidation with KMnOu. Polymenization.
Substitution at the allylic and vinylic positions of alkenes. Uses Dienes: Classificatin, preparation, properties Alkyness : Preparation, properties, acidic reactions of alkynes, mechanism of electrophilic and nucleophilic addition reactions, hydroboration – oxidation, metal-ammonia reductins, oxidation and polymerization.
c. Arenes and Aromaticity — Aromaticity : The Huckel rule, arematic ions, M.O. diagram, anti- aromatic, Aromatic electrophilic substitution — Mechanism, role of σ and π complexes. Mechanism of nitration, halogenters sulphonation, mercuration and Friedel Crafts reaction. Energy profile diagram, activating and deactivating substituents, orientation, ortho-para ratio. Side-chain reactions of benzene derivatives. Birch reduction.
19. Study of some reactions — Pinacol – pinacotone rearrangement, aldol reaction, perkin reaction. Cannizzaro’s reaction, Mannich reaction, Clemmensen reduction, claisen rearrangement, Peimer Tiemann reaction, Friedel crafts reaction, Fries rearrangement. Reformatsky reaction.
20. Spectroscopy — Basic principles of the following type of spectroscopy and their applications in determining structures.
a. UV – Visible spectroscopy
b. IR – ”
c. NMR – ”
d. Mass – ”
e. ESR – “(cemplexes)
Mathematics Syllabus Combined Graduate Competitive Exam
1. Linear Algebra: Vector space, Linear dependence and independence, Subspace, bases, dimension, Finite dimensional vector spaces.
Matrices: Cayley- Hamilton theorem, eigenvalues and Eigen vectors, matrix of transformation, row and colum reduction, echelon form, rank, equivalence, congruence and similarity. Reduction to canonical forms. Orthogonal and unitary reduction of quadratic and hermitian forms, positive definite quadratic forms.
2. Calculus : Real numbers, bounded sets, open and closed sets, real, sequences, limits, continuity, differenticibility, mean value theorems, Taylor’s theorem with remainders, indeterminate form, maxima and minima, asymptotes, functions of several variables, continuity, differentiability, partial deriavatives, maxima and minima, Lagranges methods of multipliers, jacobian, Raimann’s definition of definite integrals. Indefinite integrals, infinite & improper integrals, beta & beta gamma functions, double and tripe integrals (evaluation techniques only), areas, surface and volumes, centre of gravity.
3. Analytic geometry: Cartesian and polar co-ordinates in two and three dimensions, second degree equations in two and three dimensions, reduction to canonical forms, straight lines, shortest distance between two skew lines plane, sphere, cone, cylinder, paraboloid, ellipsoid, hyperboloid of one and two sheets and their properties.
4. Ordinary differential equations: Formulation of differential equation, order and degree, equations of first order and first degree, integrating factors, equations of first order but not of first degree, calariaut’s equation, singular solution.
Higher order linear equations with constant coefficients, complementary functions and particular integrals, general solution, Euler-Cauchy equation.
Second order linear equations with variable coefficients, determination of complete solution when one solution is known, method of variation of parameters.
5. Dynamics, Statics and Hydrostatics: Degree of freedom and constraints, rectilinear motion, simple harmonic motion, motion in a plane projectile, constrained motion, work and energy, conservation of energy, motion under impulsive forces, kepler’s law, orbit under central forces, motion of varying mass, motion under resistance.
Equilibrium of a system of particles, work and potential energy, friction, common catenary, principle of virtual work, stability of equilibrium, equilibrium of forces in three dimensions. Pressure of heavy fluids, equilibrium of fluids under a given system of forces, Bernoulli’s equation, center of pressure, thrust on curved surfaces, equilibrium of floating bodies, stability of equilibrium, metacenter, pressure of gases.
6. Vector analysis: Scalar and vector fields, triple products, differentiation of vector function of scalar variable, gradient, divergence and curl in Cartesian, cylindrical and spherical co-ordinates and their physical interpretation. Higher order derivatives, vector identities and vector equations. Application to geometry: Curves in spaces, curvature and torsion, Serret-Frenet formulae Gauss and Stoke’s theorem, Green’s identities.
7. Algebra: Groups, Sub groups, normal subgroups, homomorphism of groups, quotient groups basic isomorphism theorem, Sylow’s theorem, permutation groups, Cayley theorem. Rings and ideals, principal ideal Domains, Unique Factorisation Domains and Euclidean Domains, and Euclidean Domains, field extensions, finite fields.
8. Complex Analysis: Analytic function, Cauchy-Riemann equations, Cauchy’s theorem Cauchy’s integral formula, power series, taylor’s series, Laurent’s series, Singularities, Cauchy Rasidue theorem, Contour integration, Conformal mapping, Bilinear transformation.
9. Operations Research: Linear programming problems, basic solution, basic feasible solution and optimal solution. Graphical method and simplex method of solution, Duality, Transportation and assignment problems.
Analysis of steady state and transient solution for queueing system with poisson arrivals and exponential service time.
Deterministic replacement models, sequencing problem with two machines and n jobs, 3 machines and n jobs (special case).
10. Mathematical Modeling
(a) Difference and differential equation growth models: Single species population models, Population growth an age structure model. The spread of technological innovation.
(b) Higher order linear models – A Model for the detection of diabetes.
(c) Nonlinear population growth models: prey- predator models, Epidemic growth models.
(d) An Application in environment: Urban wastes water management planning models.
(e) Models from political science: Proportional representation (cumulative and comparison voting) models.
11. Partial differential equations: Curves and surfaces in three dimensions, formulation of partial differential equations, solutions of equations, solutions of equation of type dx/P=dy/Q=dz/R; orthogonal trajectories, pfaffian differential equations, partial differential equations of the first order, solution by Cauchy’s method of characteristics, charpit’s method of solution, linear partial differential equations of the second order with constant coefficients, equations of vibrating string, heat equation, Laplace equations.
12. Probability: Notion of probability: Random experiment, Sample space, axioms of probability, Elementary properties of probability, equally likely outcome problems. Random variables: Concept, cumulative distribution function, discrete and continuous random variables, expectations, mean, variance, moment generating function.
Discrete distribution: Binomial, geometric, poisson.
Continuous distribution: Uniform, Exonential, Normal, Conditional probability, and conditional expectation, Bayes theorem, independence, computing expectation by conditioning.
Bivariate random variables: Joint distribution, Joint and Conditional distributions.
Functions of random variables: Sum of random variables, the law of large number and central limit theorem, approximation of distributions.
13. Mechanics and fluid dynamics: Generalised co- ordinates, holonomic and non- holonomic systems D’Alembert’s principle and Langrage’s equation, Hamilton equations, moment of inertia, motion of rigid bodies in two dimensions.
Equation of continuity, Euler’s equations of motion for inviscid flow, stream-lines, path of a particle, potential flow. Two dimensional and axisymytric motion, sources and sinks, votex motion, flow past a cylinder and a sphere, method of images, Navier- Stocke’s equation, for a viscous fluid.
14. Discrete Mathematics: Introduction to graph theory: graphs and degree sum theorem, connected graph, bi-partite graphs, trees, Eulerian and Hammiltonian graph, plane graph and Euler’s theorem, planar graphs, 5-color theorem, marriage theorem.
15. Logic : Logical connectives negation, quantifiers, compound statement, Truth table, Tautologies, Boolean algebra- Lattices, geometrical lattices and algebraic structures, duality, distributive and complemented lattices, boolean lattices and boolean algebras, boolean functions and expressions, design and implementation of digital networks, switching circuits
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