Jharkhand Staff Selection Commission Fire Station Officer Competitive Examiantion JSSC FSOCE 2015, ongoing online submission of applications expected to be competed on 29th December, 2015 5.00 PM and the last date for depositing examination fee is on 5th January 2016 upto 5.00 PM.
Candidates who are planning to appear for the examination can refer the following syllabus and prepare themselves for the examination JSSC FSOCE 2015. Detailed syllabus information for the examination JSSC FSOCE 2015 is given below for the preparation. JSSC FSOCE 2015 examination is expected to be held in 2016 as soon as the JSSC FSOCE 2015 examination online application submission are completed.
SYLLABUS FOR B.Sc. (Physics)
Mathematical Physics, General Properties of Matter, Acoustics, Thermal Physics, Optics and Electrostatics
Mathematical Physics:- Scalar and vector fields, differentiation of vector, idea of line, surface and volume integrals, Gradient, Divergence and Curl and their expression in rectangular Cartesian co-ordinate systems, Gauss’, Stokes’ and Green’s theorems.
General properties of matter: –
Elasticity: – Elastic constants and their inter relations, calculation of torque on a cylinder, Tensional oscillations.
Surface tension: – Excess pressure on curved surface of a liquid from the principle of virtual work, Ripples and gravity waves. Surface tension and evaporation. Determination of surface tension by Quincke’s method.
Viscosity:- Viscosity of liquids by Poissulle’s method. Rotary viscometer.
Theory of vibrations: Analytical treatment of free, damped, forces and resonant vibrations.
Intensity and loudness of sound: bel, phone, measurement of intensity by Rayleigh disc method. Reverberation time. Deduction of Sabine’s law. Determination of absorption coefficient.
Measurements:- Measurement of thermal conductivity of solids, Forbe and Lee’s method.
Laws of thermodynamics:- Carnot’s engine, Carnot’s theorem. The second law of thermodynamics, Absolute scale of temperature, Entropy, Entropy changes in reversible and irreversible processes.
Kinetic theory of gases: Derivation of Maxwell’s velocity distribution law and its verification by stern’s method, Mean free path and principle of equipartition of energy (deduction not required).
Real gases: Deviation from ideal gas equation, Vander Waal’s equation of state and its derivation. Critical constants, Joule-Thomson effect, Liquefaction of gases (air and hydrogen).
Radiation physics: Black body radiation, Kirchhoff’s law, Stefan and Stefan-Boltzmann laws, their deduction and verification. Qualitative explanation of black body radiation by Wein’s law, Rayleigh-Jean’s law and Planck’s law. Solar constant.
Coherence: Temporal and spatial coherence, Interference in thin films, Newton’s rings, Michelson’s interferometer.
Diffraction: Fresnel and Fraunhoffer diffraction, half-period zones, Zone plate, Plane diffraction grating.
Polarization of light: Double refraction, Nicol’s prism, Construction of wave fronts in uniaxial crystals. Quarter wave plate, Production and detection of plane, circularly and elliptically polarized light. Rotary polarization and polar meters.
Velocity of light: Group and phase velocity (concept to be brought by superposition of two waves). Kerr cell method for determining the velocity of light.
Electric polarization and displacement vectors, D=0.E + P relation (by simple method – slab placed in electric field between plates), Energy density (by simple spherical distribution of charge). Dielectric constant and measurement by Hopkinson’s null method, Quadrant and attracted
Gauss’ law, Ampere’s circuital law, Magnetic induction, B=u. (H+M) relation (by Rowland ring
method), Energy density of magnetic field (by simple solenoid method), Hysteresis and hysteresis
loss and measurements by magnetometer and ballistic galvanometer methods, Dia-, para- and
ferro- magnetic substances. Magnetic circuits, Design of permanent magnets by the concept of
magnetic circuits. Susceptibility and permeability and their measurements for Dia-, para- and
Field due to a solenoid, Theory of moving coil ballistic galvanometer and its uses.
Transients: Growth and decay of currents in L-R, R-C and L-R-C circuits, simple applications of
these circuits, Measurement of L by Rayleigh’s method.
Alternating current circuit: Power and power factor of ac circuits, Wattmeter, Vector diagram
method and j-operator method for ac circuits, Analytical treatment of series and parallel circuits
including sharpness of resonance. Transformer and its principle by vector diagram method,
Polyphase current, Rotating magnetic fields, Induction motor.
Generalized co-ordinates and momenta, Lagrange’s and Hamilton’s equations from D’Alembert’s
principle, Applications to simple pendulum, Compound pendulum and projectiles. Motion in a
central field, Kepler’s laws- their deductions from law of gravitation and vice-versa.
SPECIAL THEORY OF RELATIVITY
Michelson-Morley experiment, Postulates of special theory of relativity, Lorentz transformation,
Simultaneity and order of events, Lorentz contraction and time dilation, Addition of velocities,
velocity dependence of mass, Equivalence of mass and energy.
Bohr’s theory of hydrogen atom, Discrete levels in atoms, Critical potentials, Moseley’s law,
Compton effect, Bragg’s law.
Wave-particle duality, de Boglie’s relation and experimental verification of matter waves,
Basic properties and structure of nuclei, Elementary ideas about nuclear forces, Nuclear
disintegration, Cosmic rays and elementary particles, Geiger-Muller counter.
SOLID-STATE PHYSICS AND ELECTRONICS
pn junction (calculation of conduction current by concept of Fermi level), Zener diode, Tunnel
diode, Photo-diode Diode as a rectifier, Half-wave and full-wave rectifier circuits, Calculation of
ripple factor. Transistor and its characteristics and constants, Photo-transistor, Transistor as an
Qualitative idea about amplitude modulation and detection. Simple transmitter and receiver
through block diagram, Propagation of radio waves through ionosphere. Electron microscope,
Cathode rays oscilloscope, Elementary idea about TV.
Basic logic gates, Boolean algebra and its application to simple logic circuits (half adder),
Realization of basic logic gates from NAND gates
Flexure of beams, Searle’s method, Viscosity of gases by Rankine’s method. Equation of
continuity, Euler’s equation of motion, Rotating frames of reference, Inertial forces: Coriolis and
Fourier’s theorem, Analysis of square and saw-tooth wave, Equation of a wave along a stretched
string, Analysis of plucked strings.
Standard and probable errors, Propagation of errors, Principle of least squares, Least square fitting
of data (linear case).
Clausius inequality and principle of increase of entropy, Thermodynamic potentials, Maxwell’s
relations, Deduction of Clapeyran’s equation, Triple point.
Kinetic theory: Transport phenomena, Brownian motion and determination of Avogadro’s number.
Radiation physics: Wein’s displacement law and deduction, Rayleigh-Jeans law and deduction,
Planck’s law, its deduction and verification.
Specific heat theories: Einstein’s and Debye’s expression for specific heats.
Diffraction: Concave grating and their different mountings (Eagle and Hoqland).
Resolving power: Rayleigh’s criterion, Resolving power of telescope, Microscope, Grating
spectrometer, Prism spectrometer.
Maxwell’s field equations in vacuum and continuous media, Plane wave inn vacuum and a
continuous medium, Poynting vector, Proof of laws of reflection and refraction on electromagnetic
Potential due to system of charges, Dipole and quadruple moment of a system of charges (Multiple
expansion), Poisson’s and Laplace’s equations, Simple solutions of Laplace’s equation.
Langevin’s theory of dia-and para- magnetism, Weiss’ theory of ferromagnetism, Production and
measurement of strong magnetic fields.
Thevenin’s Norton’s Reciprocity and Maximum power transfer theorems. A.C. bridges: De sauty,
Schering, Anderson and their vector diagrams. Thermodynamic treatment of Seebeck, Peltier and
Thomson’s effects. Thermoelectric diagrams.
Richardson’s and Child-Langmuir’s equations and their deductions. A.F. amplifiers (RC coupled),
Feedback in amplifier, Barkhausen’s conditions for oscillation in feedback amplifier, Hartley
oscillator circuit (analysis not required).
ATOMIC AND NUCLEAR PHYSICS
Bohr-Sommerfeld theory of hydrogen atom, Schrodinger’s equation, One dimensional barrier
problems, Aston and Bainbridge mass spectrograph, Linear accelerator, Cyclotron, Qualitative
explanation of emission of -, – and- rays, Nuclear reactions: types, conservation laws and Qvalue.
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 Ψ
, 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, eletronegativity and their trends in periodic table, Their applications in chemical bonding.
Covalent 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,
2. Gaseous states — Postulates of kinetic theory of gases, deviation from ideal behaviour van
der Waal’s’ equation of state. Critical temperature, pressure and volume. Liquification of gases,
Critical constants and van der Waals constants, the law of corresponding states, reduced equation
of state. Molecular velocities — r:m.s. velocity, average velocity, most probable velocity.
Maxwells 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, defects in crystals and their
magnetic and electric behaviour 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 sponteinity 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.
Theeries 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 conduetances, effect of dilution on them, cell constant, experimental method of
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
Galvanic cells, electrodes and electrode reactions, Nernst equation, E.M.F. of cells,
Hydrogen electrode, electrochemical series, concentration cell and their applications p
solutions theory of buffer action.
7. Transition and inner transition metals and complexes — General characteristics of dblock
elements, co-ordination components – nomenclation, 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 off-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
9. Photochemistry — Interaction of radiation with matter, difference between thermal and
photochemical processes. Laws of photochemistry — Grothus-Drapper law, stark-Einstein law,
Jablonski diagram. Fluerescence, phosphorescence, Quantum yield Photoelectric cells.
10. Hard and soft acids and bases — Classification of acids and bases as hard and soft.
Pearson’s HSAB concept, acid-base strengthg and hardness and softness, symbiosis, theoretical
basis of hardness and softness, symbiosis, theoretical basis of hardness and softness,
electronegativity 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,
datherates, 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 – SN
, 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
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 of oximes and alecyclic compounds. Configuration and
conformation, 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 ∝-llydrogens, preparation, properties and
synthetic applications of diethyl malonate and eithyl acctoacetate, keto-enol tautomeins.
16. Carbohydrates — Classification and nomenclature Monosaceharides, 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 vingl polymerization,
ionic vingl polymerizations, Ziegler – Natta polymerization and vinigl polymers. Condensation or
step-growth polymerization, Polyesters, polyamider, phenol-formaldelyde resins, ureaformaldelyde
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 – Baecjer’s strain theory.
b. Alkenes, cyclocalkenes, Dienes & Alkynes — Mechanism of dehydration of alcohols,
and delydrogenation of alkyl halicles, regioselectivity in alcohol dehydration. The
saytzeff rule, Hofmanu elimination Mechanism 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:
Classification, preparation, properties Alkyness : Preparation, properties, acidic
reactions of alkynes, mechanism of electrophilic and nucleophilic addition reactrions,
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 o and it
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
19. Study of some reactions — Pinacol – pinaccrtone 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 – ”
f. ESR – ” (cemplexes)
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 column reduction, echelon form, rank, equivalence, congruence and
similarity. Reduction to cannonical 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 forms, maxima and minima, asymptotes, functions of several variables, continuity,
differentiability, partial derivatives, maxima and minima, Lagranges methods of multipliers,
jacobian, Reimann’s definition of definite integrals. Indefinite integrals, infinite & improper
integrals, 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, clariaut’s equation, singular solutions.
Higher order linear equations with constant coefficients, complementary functions and
particular integrals, general solution, Euler-Cauchy equation.
Second order linear equation 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 laws, 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, divengence 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
Residue 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 queuing 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
(b) Higher order linear models – A Model for the detection of diabetes.
(c) Nonlinear population growth models : Prey – predator models, Epidemic growth
(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 equations of type dx/P = dy/Q =
dz/R; orthogonaltrajectories, pfaffian differential equations, partial differential equations of the
first order, solution by Cauchy’s method of characteristics, Charpit’s method of solutions, linearpartial
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 numbers 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 Lagrange’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
14. Discrete Mathematics: Introduction to graph theory: graphs and degree sum theorem, connected graph, bi – partite graph, trees, Eulerian and Hamiltonian graph, plane graph and Euler’s theorem, planar graphs, 5-color theorem, Marriage theorem.
Logic: Logical connectives, negation, quantifiers, compound statements, Truth table, Tautologies, Boolean algebra – Lattices, geometaical 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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