West Bengal PSC Recruitment 2016 for Post Graduate Assistant Teacher
West Bengal Public Service Commission
161-A, S.P. Mukherjee Road,
Kolkata – 700 026.
Forthcoming Screening Test 2016
Date of Test : 5th July, 2016 (Tuesday)
Time : 12:00 Noon to 1:30 P.M.
Name of the Post :
- Post Graduate Assistant Teacher in Mathematics in the Eklabya Model Residential Schools ( English Medium Higher Secondary Co-Ed ) under the Tribal Development Department, Government of W.B.
- Post Graduate Assistant Teacher in Physics in the Eklabya Model Residential Schools ( English Medium Higher Secondary Co-Ed ) under the Tribal Development Department, Government of W.B.
Date of Test : 5th July, 2016 (Tuesday)
Time : 3:00 P.M. to 4:30 P.M.
Name of the Post :
- Post Graduate Assistant Teacher in Chemistry in the Eklabya Model Residential Schools ( English Medium Higher Secondary Co-Ed ) under the Tribal Development Department, Government of W.B.
- Post Graduate Assistant Teacher in English in the Eklabya Model Residential Schools ( English Medium Higher Secondary Co-Ed ) under the Tribal Development Department, Government of W.B.
Candidates are requested to download West Bengal PSC admit cards for the said Screening Tests from the Commission’s website http://www.pscwbonline.gov.in on & from the 28th June, 2016.
They are also requested to bring & show one of the following documents, in original, at the Examination Hall as a proof of their identity, failing which they will not be allowed to sit for the Examination.
- Madhyamik or equivalent examination pass certificate / admit card which bears his/her photograph.
- PAN card.
- U.I.D. card.
- Driving License.
Syllabus for West Bengal PSC Screening Test ( MCQ Type ) for Recruitment to the Posts of P.G. Assistant Teacher in Chemistry (E.M.) in the Ekalabya Model Resential School ( English Medium Higher Secondary Co-Ed ) Under Tribal Development Department, Government of W.B.
Full Marks : 100
Time : 1 Hour 30 Minutes
Group – A Organic Chemistry
1. Bonding in organic molecules : σ and π bonds, bond distance, bond angle, and bond energy. Dipole moment of organic molecules. Inductive, resonance and hyperconjugative effect. Hydrogen bond. Tautomerism, Aromaticity, Huckel’s rule, aromatic, non aromatic and anti aromatic compounds. Effects of structure, substituents and solvent on acid and base strength
2. Stereo Chemistry of carbon compounds : Elements of symmetry. Chirality, Eanantiomerism and diastereo isomerism. Optical purity, racemization, resolution. Projection structure of stereoisomers – Fischer, Sawhorse, Newman, Flying – wedge DL, RS and EZ notations. Examples of enantiotopic and diastereotopic ligands and faces. Conformations of alkanes (upto 4 carbon), Cyclohexane, dimethylcyclohexanes and 1, 2 – glycols. Stereoisomerism in allenes and biphenyls (excluding RS notation).
3. Reaction mechanism : General methods of study of mechanism of organic reactions illustrated by examples – use of isotopes, cross-over experiement, intermediate trapping, kinetic studies, stereochemistry. Energy profile diagrams of simple organic reactions, thermodynamic and kinetic control of reactions.
4. Reactive intermediates : Generation, geometry, stability and reactions of carbocations, carbanions, free radicals, carbenes and benzynes.
- Substitution reaction – SN1 , SN2, SN1 and NGP. Electrophilic and nuclephilic substitution of aromatic compounds.
- Elimination reaction – E1, E2, E1CB and Syn – elimination.
- Addition reaction – electrophilic addition to C=C and C≡C, nucleophilic addition to C=O, conjugated olefins and carbonyls.
- Rearrangement reaction : Pinacol-pinacolone, Hofmann, Beckmann, Claisen, Baeyar-Villiger, Favorskii.
6. Chemistry and mechanism of : Aldol condensation, Claisen condensation, Perkin reaction, Knoevenagel reaction, Wittig reaction, Michael reaction Arndt Eistert reaction, Acyloin condensation, Friedel-Craft reaction and Von Richter reaction.
7. Synthetic uses of reagents : OsO4, HIO4, Pb(OAc)4, SeO2, LiAlH4, NaBH4, B2H6, NBS, PCC, Na or Li in liq-NH3, Alkyl lithium, Lithium dialkylcuprate, Lithium diisopropylamide, Aluminium isopropoxide.
8. IUPAC nomenclature : Synthesis and reactions of alkanes, alkenes, alkynes, alkyl halides, ethers, alkanols, alkanals, alkanones, alkanoic acids, esters, amides, nitriles and amines.
9. Pericyclic reaction : Definition and classification. FMO approach of electrocyclic, cycloaddition reactions and sigmatropic H-shifts.
10. Basic principles and applications of UV, IR, and NMR spectroscopy of simple organic molecules. Road-map problems related to spectroscopy and organic reactions.
Group – B
1. Chemical bonding :
- Ionic bonding : polarizing power and polarizability, ionic potential, Fajan’s rules.
- Covalent bonding : Lewis structures, VSEPR theory, Valence Bond theory (Heitler-London approach), Directional character of covalent bonds, hybridization, Bent’s rule, concept of resonance. Molecular orbital theory (MO) elementary approach – sigma and pi bonds, multiple bonding, MO diagrams of simple homonuclear and heteronuclear diatomic molecule, simple triatomic molecules like BeH2, CO2, BF3, bond order, bond energy. Shapes of the molecules and ions containing lone pairs and bond pair.
- Weak Chemical forces : Vander Waals forces; Hydrogen bonding, Effects of chemical forces on physical properties.
- Metallic bonding : Qualitative ideas of band theory, Conducting, Semiconducting and insulating properties.
2. Chemical periodicity :
- Periodic Table : Classification of elements on the basis of electronic configuration, Modern periodic Table (current IUPAC version).
- Atomic and ionic properties : Effective nuclear charge, screening effect, Slater rules, atomic radii, ionic radii, covalent radii, ionization energies, electron affinity, electro-negativity, inert pair effect.
3. Acid-Base Concepts : Bronsted and Lowry’s concept, Lewis concept, HSAB principle.
4. Non-aqueous solvents : Liquid ammonia and liquid sulphur dioxide.
5. Coordination Compunds : Double and complex salts, Werner’s theory, Chelate complexes, nomenclature of complex compound, stereo chemistry and coordination number, isomerism of coordination compounds – geometrical and optical isomers in respect of coordination numbers 4 and 6. Bonding in coordination compounds : valence bond descriptions and its limitations, crystal field theory (elementary). Crystal field stabilization energies in weak and strong field cases mainly of octahedral and tetrahedral complexes.
6. Magnetism and Colour : Origin of magnetic moments, paramagnetism, diamagnetism, ferro and antiferromagnetism, orbital and spin contributions, spin only moments of 3dn ions. Theoretical aspects of d-d spectra (elementary idea) selection rules for spectral transitions.
7. Organo metallic compounds : Definition and classification, Metal-Carbon bonded complexes of transition metals – their preparation, properties and stability. Application of 18 electron rule to carbonyl, nitrosyl and cyanides of transition metals.
8. The Chemical elements and its compounds :
- Group trends and periodic trends of effective nuclear charge, atomic and ionic radii, ionisation energies, electron affinity and electronegativity with respect to s-, p-, d- block elements.
- General trends of variation of electronic structures, elemental forms, oxidation states, catenation and properties of important class of compounds such as oxides, oxyacids, halides and formation of complex compounds with respect to the following groups of
(i) Li, Na, K
(ii) Be, Mg, Ca, Sr and Ba
(iii) B, Al, Ga, In, Tl
(iv) C, Si, Ge, Sn, Pb
(v) N, P, As, Sb, Bi
(vi) O, S, Se, Te
(vii) F, Cl, Br, I. and
(viii) Chemistry of noble gases.
9. Extraction / Preparation / Isolation of the following elements :
- Extraction and purification of Li, Mg, Sn, Pb.
- Extraction and purification of Ti, V, Cr, Mn, Pt, Ag, Au, U.
- Manufacture of Steel, Alloy Steels.
10. Radioactivity and Atomic structure :
- Radioactivity : Radioactive decay, half-life, Average life of radio elements, radioactive equilibrium Group displacement law, isotopes (uses of isotopes), isobars and isotones.
- Atomic nucleus : Fundamental particles of atomic nucleus, nuclear stability, neutron-proton ratio, nuclear binding energy. Nuclear forces. Transmutation of elements, fission, fusion reactions.
- Extra nuclear structure : Bohr’s theory and its limitations, Sommerfield’s modification, spectrum of H-atom.
Group – C
1. Quantum Theory : Black-body radiation and Planck’s Law, photo-electric effect and photon concept of light, wave particle duality, de Broglie hypothesis, Heisenberg uncertainty principle, Schrodinger’s wave equation (time independent), Interpretation of wave function particle in one-dimensional box, quantum numbers, hydrogen atom wave functions separation of radial and angular part, shapes of s, p and d orbitals.
2. The Gaseous State : Kinetic theory of gases, equation of state of real gases, intermolecular interactions, liquefaction of gases and critical phenomena, Maxwell’s distribution of speeds, features of kinetic energy distribution, mean speed, root mean square speed, most probable speed, principle of equipartition of energy, specific heats of gases, intermolecular collisions, collision number and mean free-path, viscosity of gases and mean free-path.
3. The Liquid State : Nature of liquid state, surface tension, capillary rise, spreading of liquid over other surface, temperature dependence of surface tension. Measurement of surface tension, viscosity of liquids, origin of viscosity of gases and liquids, determination of viscosity coefficient, Poiseuille’s equation, temperature dependence of viscosity coefficients of gases and liquids.
4. Solid State : Forms of solids, laws of crystallography, crystal lattices, crystal systems and crystal classes, Bragg’s Law, X-ray diffraction by crystals, crystal structure of NaCl, KCl, structure of diamond and graphite, Lattice energy, Born-Haber Cycle, Einstein’s equation for heat capacity of solids, Debye equation (elementary concept).
5. Thermodynamics :
- Thermodynamic systems, states, processes, work, heat and internal energy, first law of thermodynamics, work done and heat absorbed in different types of processes. Reversible and irreversible process, energy and enthalpy changes in various processes and their temperature dependence.
- Second law of thermodynamics, Carnot’s cycle and Carnot’s theorem, absolute scale of temperature, entropy as a state function, entropy change in various processes, entropy – reversibility and irreversibility, Free-energy functions, criteria for spontaneity and equilibrium, physical concept of entropy, entropy and probability.
- Application thermochemistry, laws and their applications, Kirchoff’s relation, Maxwell relation, Cp – Cv relation Joule-Thomson expansion, thermodynamic equation of state, Gibbs-Helmholtz equation, Clausius-Clapeyron relation and phase transition, colligative properties of dilute solutions.
6. Reaction equilibrium :
- Homogeneous equilibrium, relationship Kp ,Kc ,Kx . Van’t Hoff’s reaction isotherm (deduction using chemical potential). Temperature dependence of equilibrium constant, La-Chateleer’s principle, response of equilibria to different conditions.
- Ionic equilibrium, solubility product, dissociation constant of weak acids, ionic product of water, pH, buffer, indicators, hydrolysis of salt solutions.
7. Electrochemistry :
- Electrical conductance, weak and strong electrolytes, variation of equivalent conductance with dilution, Kohlrausch’s law, transport number, determination of transport number by moving boundary method, theory of strong electrolytes, applications of conductance measurements.
- Galvanic cells, thermodynamic derivation of E.M.F. of chemical cells with examples, Transference cell, liquid junction potential and salt bridge, measurement of e.m.f. of cells and its applications, fuel cells and batteries.
8. Chemical Kinetics : Concentration dependence of rate of reaction, differential and integral rate equations for zeroth, first, second order reactions, rate equations involving reverse, parallel, consecutive and chain reactions, effect of temperature and pressure on rate constant, collision and transition state theories of reaction rates.
9. Photo Chemistry : Absorption of light, Lambert-Beer’s law, laws of photochemistry, quantum yield, some typical photochemical reactions, HIdecomposition, CH3CHO-decomposition, H2 – Br2 reaction, photosensitized reaction, Fluorescence and phosphorescence.
10. Surface phenomenon and Catalysis : Adsorption from gases and solutions on solid adsorbents, adsorption isotherms – Langmuir and B.E.T. isotherms, determination of surface area. Gibbs adorption isotherms, surfactants, micelle formation. Characteristics and mechanism of homogeneous and heterogeneous catalytic reactions Enzyme catalysis.
Syllabus for Screening Test ( Mcq Type ) for Recruitment to the Posts of P.G. Assistant Teacher in Physics (e.m.) in the ekalabya model resential school ( English medium higher secondary co-ed ) under tribal development department, government of w.b.
Full Marks : 100
Time : 1 hour 30 minutes
1. Classical Mechanics : Newton’s laws of motion; Mechanics of a single particle; Rotational Motion; Gravitation.
2. General Properties of matter : Elasticity; Surface Tension; Viscosity.
3. Vibrations and Waves : Simple Harmonic Motion; General Wave Equations; Vibrations of Strings.
4. Heat : Kinetic theory of gases : Equations of state; Brownian Motion.
5. Thermodynamics : First and second Laws Entropy, Thermodynamic Functions.
6. Optics : Geometrical Optics : eye pieces; physical optics; Interference; Diffraction, resolving power, polarisation.
7. Electricity and Magnetism : Magnetic effects of currents Varying currents Alternating currents.
8. Electronics : P – n Junctions, transistors and uses.
9. Modern Physics : Bohr’s theory Millikan’s experiment X-rays, Moseleys Laws, Bragg reflection Radio-activity, alpha, beta, gamma rays.
Syllabus for Screening Test (Mcq Type) for Recruitment to the Posts of P.G. Assistant Teacher in Mathematics (E.m.) in the ekalabya model resential school ( english medium higher secondary co-ed ) under tribal development department, government of w.b.
Full Marks : 100
Time : 1 Hour 30 Minutes
Algebra : Complex Number :
Demoiver’s theorem, its applications. Exponential, Sine, Cosine, Logarithm of a Complex Number. Theory of Equations : Relation between roots and co-efficients, symmetric function of roots, transformation of equation, multiple root.
Determinant and matrix : Properties and applications.
Inequality : AM >= GM >= HM and its applications.
Set Theory :
Basic concepts, mapping, group, ring, field.
Boolean Algebra :
Basic concepts. Boolean variables and functions and their truth tables. NOT, OR and AND gates. Binary systems.
Vector addition, Scalar and vector product. Application of vector algebra in geometrical and trigonometrical problems.
Differential Calculus – Sequence, series, Limit, continuity, differentiability, Successive derivatives. Rolle’s theorem, Mean value theorem. Integral Calculus – Indefinite integral, definite integral and its properties, definite integral as limit of sum. Beta and Gama functions.
Application of Calculus :
Tangent & normal, curvature, pedal equation, curve-tracing, area, rectification.
Differential Equation :
Linear equation, Clairaut’s equation, Complementary function, particular integral of higher order. Linear equations with constant Co-efficient.
Translation and rotation of axes. Reduction into Canonical form. Pair of straight lines. Circle, Parabola, ellipse, hyperbola – simple properties. Equation of straight lines in space, equation of plane.
Numerical Analysis :
Errors in numerical computation – gross error, round off, truncation error, significant figure, absolute, relative, percentage error. Operators – Δ ∇ Ε Difference table, Newton’s forward and backward interpolation formula.
Basic concepts, addition and multiplication rule of probabilities. Conditional probability, Bay’s theorem.
Motion in a straight line under variable acceleration, motion under inverse square law, motion in resisting medium. Impact of elastic bodies, loss of KE in direct and oblique impact.
Syllabus for Screening Test (Mcq Type) for Recruitment to the Posts of P.G. Assistant Teacher in English (E.M.) in the ekalabya model resential school ( english medium higher secondary co-ed ) under tribal development department, govt. Of w.b.
Full Marks : 100
Time : 1 Hour 30 Minutes
1. A knowledge of the history of English Literature from 1340 to 2000.
2. A close acquaintance with the following works which are prescribed for detailed study :-
- William Shakespeare : Macbeth, As You Like It
- Jane Austen : Pride and Prejudice
- John Milton : Paradise Lost (Book I)
- Alexander Pope : The Rape of the Lock
- R.K. Narayan : The Guide
- Amitav Ghosh : The Shadow Lines
- P.B. Shelley : Ode to the West Wind
- John Keats : Ode to a Nightingale
- Alfred Tennyson : Ulysses
- Robert Browning : My Last Duchess
- T.S. Eliot : Preludes
4. Vocabulary Antonym, Synonym, Idiomatic usage of Language, Figures of Speech etc.
5. Test of Comprehension ( Candidates will be given a passage of 250 to 300 words. They should read it carefully and answer the questions. The answers may be contained in the passage or may be inferred from the reading of the passage ).