UNIT-I UNIT-II UNIT-III

PAPER-APAB-411 SUB: CLASSICAL MECHANICS Marks: 80 Internal Marks: 20 Total Marks: 100 UNIT-I Survey of the elementary particles: Mechanics of a part...
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PAPER-APAB-411 SUB: CLASSICAL MECHANICS

Marks: 80 Internal Marks: 20 Total Marks: 100 UNIT-I

Survey of the elementary particles: Mechanics of a particle- Mechanics of a system of particles – Constraints- D'Alembert's principle and Lagrange's equations-velocity dependent potentials and the dissipation function, simple applications of the Lagrange formulation. Variational Principle and Lagrange's Equations: Some techniques of the calculus of variationsDerivations of Lagrange's equations-from Hamilton's principle-Extension of Hamilton's principle to nonholonomic systems-Advantages of variational principle formulation- conservation theorems and symmetry properties. UNIT-II Two body Central force Problems ; Reduction to the equivalent one-body problem-The equations of motion and first integrals-The equivalent one-dimensional problems and classification of orbits-The virial theorem-The differential equation of orbit and integrable power-law potentials-conditions for closed orbits (bertrand's theorem)-The Kepler Problem Inverse square law of force-The motion in time in the Kepler problem-The Laplace-Runge-Lenz vector-Scattering in a central force field, Transformation of the scattering problem to the laboratory co-ordinates. UNIT-III The independent co-ordinates of a rigid body-Orthogonal The Kinematics of Rigid Body Motion: transformation-Formal properties of the transformation matrix, The Euler Angles, Euler's theorem on the motion of a rigid body-Finite rotations-Infinitesimal rotations-Rate of change of vector-The Coriolis force. UNIT-IV The Rigid Body Equations of Motion: Angular momentum and kinetic energy of motion about a pointTensor and dyadics-The inertia tensor and the momentum of inertia-The eigen values of the inertia tensor and the principal axis transformation-Methods of solving rigid body problems and the Euler equations of motion TorqueFree motion of a rigid body-The heavy symmetrical top with one point fixed-Precession of the equinoxes and of satellite orbits-Precession of system of changes in a magnetic field. UNIT-V Elasticity: Introduction, Displacement vector and the strain tensor, Stress tensor, Strain energy, Possible forms of free energy and stress tensor for isotropic solids, Elastic moduli for Isotropic solids, Elastic properties of general solids: Hooke's law and stiffness constants, Elastic properties of isotropic solids, propagation of elastic waves in isotropic elastic media. TEXT BOOKS: 1. 2.

Classical Mechanics-Herbert Goldstein, Addison-Wesley/Narosa (Indian Student Edition) Classical Mechanics-Rana and Joag, Tata-McGraw-Hill

REFERENCE BOOKS: 1. 2. 3. 4.

Classical Mechanics of particles and Rigid body-Kiran C. Gupta, New age Publishers Classical Mechanics-J.D. Uppadaya Classical mechanics – S.L.Gupta, Meenakshi prakashan, 1970, New Delhi. Introduction to classical mechanics – R.G.Takwall and P.S.Puranik, Tata – McGraw Hill, 1980, New Delhi. 5. An Introduction to Continuum Mechanics-M. E. Gurtin, Academic Press

PAPER-APAB-412 SUB: Mathematical Methods in Physics

Marks: 80 Internal Marks: 20 Total Marks: 100 UNIT-I

Vector Algebra and Vector Calculus: Differential Operators: Gradient, Divergence and curl, Vector Integration, Gauss Theorem, Stoke's Theorem, Green's Theorem, Curvilinear Co-ordinates, Spherical Polar coordinates, cylindrical co-ordinates. Linear Algebra: Various types of matrices, rank of matrix, Types of linear equation, Linear dependence and independence of vectors, eigen values and eigen vectors, Cayley Hamilton Theorem, Digonalisation of matrices, Elementary ideas about Tensors, Types of tensors, Transformation properties, Introductory group theory, Generators of continuous groups. UNIT-II Complex Analysis: Complex Algebra, Cauchy-Riemann condition, Cauchy's Integral Theorem, Cauchy's Integral Formula, Taylor's Theorem, Laurent's Theorem, Singularities, Residues, Residue Theorem and Evaluation of Integrals. Fourier Series, Fourier and Laplace Transforms. UNIT-III Ordinary Differential Equation: Differential equation of the First order and First Degree, variable separation, Homogeneous differential equation, Linear Differential Equation, Exact differential equation, Equation of first order and Higher degree, Method of finding the complementary function and particular integrals, Series solutionFrobenous method. UNIT-IV Bessel's differential equation and its solution, Bessel's functions, Recurrence formula, Generating function, Legendre equation and its solution, Legendre's Polynomial, Rodrigue's formula, laguerre's differential equation, Laguerre's functions, Hermite polynomials. UNIT-V Wave equation, Heat equation, Possion equation. Theory of Probability: Mean, Median, Mode – Dispersion – Standard Deviation – Binomial, Poisson’s and Gaussian Distribution – Gauss error curve -Chi-square Test.

TEXT BOOKS: 1. 2.

Mathematical Methods for Physicist: G. B. Arfken, Hans. J. Weber,-Academic Press Mathematical Physics: H. K. Dass, Rama Verma-S. Chand and Company Ltd.

REFERENCE BOOKS: 1. 2. 3. 4. 5.

Matrices and tensors: A. W. Joshi Numerical Methods using FORTRAN: C. Xavier-New Age International Publishers Mathematical Physics: B. S. Rajput Mathematical Physics: Satyaprakash Introduction Mathematical Physics: Charlie Harper

PAPER-APAB-413 SUB: Electronics and Computer Programming

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Semiconductor Device Physics: Diodes, Transistors, Field effect Devices, Homo and Hetero Junction devices and their characteristics and applications. Opto Electronics Devices: Solar Cells, Photo detectors and LEDs. Network Analysis: Kirchoff’s laws – network reduction techniques – series, parallel, series parallel, star-to-delta or delta-to-star transformation, Superposition, Thevinin’s, Norton’s, Max Power Transfer theorem UNIT-II Digital Electronics :Number Systems, Binary Arithmetic, Boolean Algebra , Logic Gates, Simplification using Karnaugh map, Combinational Circuits: Adder,Subtractor, Multiplexer, decoder. Sequential Circuits: Flip Flops, Shift Registers, Counters and D/A and A/D Converters.

UNIT-III Amplifiers and Oscillators:R-C, L-C and transformer coupled amplifiers, Feed back in Amplifiers. Negative feedback circuits, Field Effect Transistors, Bootstraping in FET, Stability in amplifiers, Oscillatory circuits, Phase-shift oscillator, Wein bridge oscillator, Crystal oscillator, Astable and Bi-stable multivibrator. Operational Amplifiers : The Ideal Op Amp, Inverting and Non – Inverting configurations, Equivalent Circuit model, Op amp application in Integration, differentiation and Summing Circuits, Differential Amplifier, Logarithmic Amplifiers, CMRR.

UNIT-IV Common elementary computer science:Programming instructions, simple algorithms and computational methods. Overview of C: Introduction, Sample C programs,Basic structure of C program,Executing a "C" Program,Constants, Variable and Data types, Operators and Expressions, Control statements– while, do-while, for statements, nested loops, if-else, switch, break, continue statements. UNIT-V C Functions: Defining and accessing a function – passing arguments to a function, function prototypes. Arrays – defining an array, Two dimensional arrays Numerical Techniques: Differentiation, Integration (Simpson's rule, Trapezoidal rule), Solution of first order differential equation using Range-Kutta Methods, Newton-Raphson Method. TEXT BOOKS: 1. 2. 3. 4. 5. 6.

Physics of Semiconductor DevicesS. M. SZE Semiconductor Optoelectronic devices:- P. Bhattacharya (PHI) Digital Electronics and Computer Design: M. M. Mano (PHI) Electronics Fundamentals and Applications: J.D. Ryder Computer Oriented Numerical Methods – V.Rajaraman, Prentice Hall, 1987. Let us C:- Yashavant Kanetkar (BPB Publications)

REFERENCE BOOKS: 1. 2.

Numerical Methods in Science and Engineering – M.K.Ventaraman, National Publishing Co, 1989. Numerical Methods using FORTRAN: C. Xavier-New Age International Publishers

3.

Physics of Semiconductor Devices-

D.K.Roy

PAPER-APAB-414 SUB: Weapon Systems and Ballistics Measurements

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Ordnance: Classification, small arms, Mortars-Howitzers-Guns, Rocket launchers, Basic components and functional requirements. UNIT-II Gun Barrel and Tube Launcher: Theory of thin cylinders, use of plastic region of the material and its application to the pre-stressing tube, theory of failure, approximate Mises Hencky criteria, principle of monoblock non auto-fr ettaged and auto-frettaged barrels. Gun Design: Gun design rules, Design of combustion chambers, Rifling profile and stress due to rifling, Gun tube acoustics, Gun erosion UNIT-III Ordnance: Obturation, Muzzle brake, fume extractor, Firing mechanism, functions and characteristics of saddle, cradle, traversing and elevating gears, balancing gears. Recoil System: Elements of recoil mechanism, small arms, method of obtaining automatic fire, factors affecting recoil gas system, feed mechanism, trigger mechanism, sights. UNIT-IV Measurement of velocity and trajectory elements: Foil and counter, Optoelectronic means, Doppler RADAR, Telemetry, High speed Photography, Videography, Photogrammetry. UNIT-V Measurement of Space: burst, Barrel Vibration

Distometer, LASER range finder, Theodolite, Recoil and Run out, Height of

TEXT BOOKS: 1. 2.

Text Book of Ballistics and Gunnery, 1987, War Office, UK Elements of Ordnance, 1982, T. J. Hayes, John Wiley, New York

REFERENCE BOOKS: 1. 2.

Guns, Motars and Rockets,1982, JW Ryan, Brassy series, Oxford, UK The Hand books of Artillery Weapons, 1971, Royal College of Military Science

PAPER-APAB-415 (PRACTICAL) SUB: Electronics and Modern Physics

Total Marks:

EXPERIMENT LIST:

1.

Measurement of velocity of liquid by Ultrasonic Interferometer.

2.

Measurement of band gap energy of different semiconductors including LED.

3.

Study of Hall Effect using Hall Apparatus Kit.

4.

To determine the wavelength, spot size and divergence of LASER light.

5.

Analysis of Fourier Theorem by Using Fourier Analysis KIT.

6.

Implementation of Adder using Universal Logic gates.

7.

To study Multivibrator circuits.

8.

Study of different types of Flip Flops.

9.

Realization of Boolean expression by using K- Maps.

10.

Design of Multiplexer/Demultiplexer.

11.

Study of D/A converter.

12.

Study of BCD to 7 segment Display.

13.

Study of Left register, Right register and Ring counter

14.

Study of R-C coupled Amplifier

15.

Study of Solar cell KIT

100

PAPER-APAB-421 SUB: Statistical Mechanics and Thermodynamics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Classical Statistical Mechanics: Postulates of classical statistical mechanics, Liouville’s Theorem, Micro-canonical ensemble, Deviation of Thermodynamics, Equipartition Theorem, Classical ideal gas, Gibb’s paradox. UNIT-II

Canonical ensemble and energy fluctuation, Grand canonical ensemble and density fluctuation, Equivalence of canonical and grand canonical ensemble.

UNIT-III

The density matrix, Ensembles in quantum statistical mechanics, Ideal Quantum Statistical Mechanics: gas in micro canonical and grand-canonical ensemble, Equation of state for Ideal Fermi gas, Theory of white dwarf stars. UNIT-IV

Ising Model:

Ising model,: definition of Ising Model, ID-Ising model.

UNIT-V

Phase Transitions: Ideal Bose gas, Photons and Planck’s Law, Phonons, Bose-Einstein condensation, Thermodynamic description of phase transition, Phase transitions of second kind, Discontinuity of specific heat, Change in symmetry in a phase transition of second kind

TEXT BOOKS: 1.

Statistical Mechanics-K: Huang

REFERENCE BOOKS: 1. 2. 3. 4. 5. 6.

Elementary Statistical Physics- C Kittel Statistical Mechanics-F: Mohling Statistical Mechanics-Landau and Lifshitz. Physics Transitions and Critical Phenomena-H.E. Stanley Thermal Physics-C.Kittel Fundamentals of Statistical and Thermal Physics-F.Reief

PAPER-APAB-422 SUB: Quantum Mechanics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I General Principles of Quantum Mechanics: Linear vector space, Ket and Bra vectors, scalar product of vectors and their properties, Linear operator, Adjoint Operators, Unitary Operators and transformations, Expectation values of dynamical variables and physical interpretation, Hermitian operators, Probability interpretation, degeneracy, Schimdt method of orthogonalization. Mathematical Basics: Expansion Theorem, Completeness and Closure property of the basis set, Coordinate and Momentum representation, Compatible and incompatible observables, Commutator algebra, Uncertainty relation as a consequence of noncommutability, Minimum uncertainty wave packet UNIT-II Quantum Dynamics: Time evolution of quantum states, time evolution operator and its properties, Schroedinger picture, Heisenberg picture, Interaction picture, Equation of motion, Operator method of solution of Harmonic Oscillator, Matrix representation and time evolution of creation and annihilation operator. UNIT-III Rotation and Orbital Angular Momentum: Rotation Matrix, Angular momentum operators as the generators of rotation. Lx, Ly, Lz and L2 in spherical polar co-ordinates, Eigen values and Eigen functions of Lz and L2 (OP method), Spherical Harmonics, Matrix representation of L+, L- and L2. Spin ½ particles, Pauli spin matrices and their properties, Eigen values and Eigen functions, Spinor transformation under rotation. Total Angular momentum J, Eigen value problem of Jz and J2, Angular momentum matrices, Addition of angular momenta and C. G. Co-efficient, angular momentum states for composite systems in the angular momenta (1/2, ½) and (1,1/2). UNIT-IV Motion in Spherical Symmetric Field: Hydrogen atom, Reduction of two body problem to equivalent one body problem, Radial equation, Energy eigenvalues and eigenfunctions, Degeneracy, radial probability distribution. Free particle problem incoming and outgoing spherical waves, Expansion of plane waves in terms of spherical waves, bound states of a 3-D square well, particle in a sphere. UNIT-V Approximation Methods: Time independent perturbation theory and application, variational method, WKB approximation, Time dependent perturbation theory and Fermi’s Golden rule, selection rules. Scatterings: Elementary theory of scattering, Phase shifts, Partial waves, Born approximations. TEXT BOOKS: 1.

Quantum Mechanics-Joichan

REFERENCE BOOKS: 1.

Quantum Mechanics- Gasorowicz

2.

Quantum Mechanics-Ghatak and Loknathan

PAPER-APAB-423 SUB: Fluid Dynamics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Fluid Flow Concepts and Basic equations: Velocity field, acceleration of a fluid element, continuity equation, conservation of momentum , stream line functions, rotation of fluid element, Euler’s equation. Bernoulli’s equation along a stream line and in rotational flow, Bernoulli’s equation from thermodynamics ,static and dynamics pressure, Losses due to geometric changes:-Sudden expansion and contraction Venturimetre. UNIT-II Dimensional Analysis and Dynamic Similitude: Buckingham’s Π Theorem, Dimensionless parameters, Euler’s number, Reynold’s number, Froude’s number, Weber number, Model studies and wind tunnel tests. UNIT-III Normal stress shear stress, Navier-Stokes theorem, Flow through a parallel channel, Viscous Effect: Flow past a sphere, Terminal velocity order of magnitude analysis, Approximation of the Navier-Stokes equations. Boundary layer concepts:- Momentum integral equation, velocity profile, Boundary layer thickness, Skin Friction effecter, Transverse component of velocity, Displacement thickness, momentum thickness. Drag:- Bluff badles, Aerofoil, Boundary layer control, entrance region. UNIT-IV Compressible flow: Perfection gas Relations:- Speed of propagation in gas, in isothermal and adiabatic condition, Mach number, Limits of incompressibility. Isentropic flow:- Laws of conservation, Static and stagnation values, flow through a duct of varying crosssection, mass flow rate, choking a converging passage, constant area adiabatic flow and Fanno like, constant area frictionless flow and Raleigh line. UNIT-V Fluid Metrology: Pressure measurement, Velocity measurement, Turbulence measurement, Viscosity measurement, Introduction to Computational Fluid Dynamics. TEXT BOOKS: 1. 2.

Fluid Mechanics, A.K. Mohanty, PHI Fluid Dynamics, R.V. Mises, Springer

REFERENCE BOOKS: 1. 2. 3.

Foundation of Fluid Mechanics , S. W .Yuan, PHI Text Book of Fluid Mechanics, R. S. Khurmi, S. Chand Perspective in Fluid Dynamics, Batchelor, Cambridge

PAPER-APAB-424 SUB: Internal Ballistics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Explosives: Explosive compounds and explosive mixtures-classification of explosives: Initiatory, high explosives, propellants and pyrotechnics-characteristics of explosives initiation, burning and detonationExplosive burning and deflagration- Deflagration to detonation transition- burning mechanism of propellantsExplosive parameters- Measurement of various explosive parameters. UNIT-II Chemical Thermodynamics of Gun Propellant: Introduction to gun, ammunition, projectiles and missiles- Energetic of gun propellants-Composition of gaseous products- Corrections to the basic calculationsprediction of propellant performance-The ratio of heat capacities. UNIT-III

General introduction –Propellants-Driving Band engraving process, and the resistance to Internal Ballistics: the in–bore motion of a projectile- Heating of gun barrel- Heat conduction in thick walled barrels- Numerical solution for heat conduction- Wear in gun barrels- Prediction of pressure history and muzzle velocity- The internal ballistics of leaking gun. UNIT-IV

In-Bore Dynamics: Introduction – Some historical back ground- Firing from a moving gun- The vibration of a gun barrel while the projectile is in the bore- Practical consequences of barrel vibration – Effect on the projectile of in-born motion. UNIT-V

Intermediate Ballistics: Gas dynamics of the muzzle flow fluid- Muzzle brakes, sabots, and blast suppressors- Store separation and sub- munitions discharge. Recoil of Guns: Introduction-The rigid body motion of the rifling parts- Longitudinal vibration of a barrel

TEXT BOOKS: 1.

Text Book of Ballistics and Gunnery, 1987, War Office, UK,

REFERENCE BOOKS: 1.

Interior Ballistics, 1951, HMSO publication

PAPER-APAB-425 (PRACTICAL) SUB: Computational Physics

Total Marks:

100

EXPERIMENT LIST: (FORTRAN / C)

1.

To find largest or smallest of a given set of numbers

2.

To generate and print first hundred prime numbers

3.

To find sum of AP and GP

4.

To find transpose of Matrix

5.

Matrix Algebra

6.

Evaluation of Log and exponential

7.

Solution of Quadratic Equation

8.

Numerical Differentiations

9.

Numerical Integration by Trapezoidal Method

10.

Numerical Integration by Simpson Method

11.

Evaluation of Gamma Function

12.

Solution of Second order differential equation by Range-Kutta Method

13.

Finding roots of an equation by Newton-Raphson Iteration method

14.

Least Square fitting of linear equations

15.

Solution of system of linear equation

MATLAB

MATLAB Fundamentals, MATLAB’s opening window features, Getting started with MATLAB, M – file, control statements of M – file programming, Matrix manipulation, creating a function file.

PAPER-APAB-531 SUB: Material Science and Solid state Physics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Introduction, Crystal structures-Atomic arrangements, Crystals and lattices, Structure and Defects: Some simple crystals, crystallographic direction and planes, Packing of atoms in crystals, Symmetries and its relationship to properties, Imperfections in crystals, glasses, Diffractions by crystals. Types of Bonding in solids. Imperfections in solids- lattice defects- point defects and extended defects, vacancies, Interstitials, edge and screw dislocation, twin planes and grain boundaries, Colour centers. UNIT-II Mechanical Properties of Metals: Plastic deformation of solids- Special deformation behaviour of solids – Flow of fluids, Internal friction in solids- Ideal plastic behavior, vibration of mono and diatomic lattice. Electric Properties of Metals: Introduction, Free electron theory of metals, Ohm’s law and Hall coefficient, Metals, Band theory of Metals, Insulator and semiconductors, Special dielectrics. Magnetic properties- Theory of dia, para and ferromagnets, Soft ferromagnetic, hard magnetic materials, special magnetic materials. UNIT-III Thermal and Chemical Properties: Space rockets and thermal expansion coefficient, Thermal conductivity, Heat capacity, Energy changes during phase transformation, Temperature effects on properties, Electricalthermal coupling, Heat treatment, Chemical properties. Phase diagram and phase Transformation: Introduction, Binary systems, Non-equilibrium transformations, Age precipitating hardening, The Fe-C system, Segregation in binary alloys during solidification. UNIT-IV Polymers: Introduction, An idealized random chain, Degree of polymerization, Topology of vinyl polymers, Co-polymer, Condensation polymer, Network polymers, Thermoplastics and thermosetting resins, Crystalinity in polymers, Macromolecules in living matter. Magnetic properties of Metals:- Theory of dia, para and ferromagnets, Soft ferromagnetic, hard magnetic materials, special magnetic materials. UNIT-V Superconductivity: Superconductivity state, Fundamental concept, The penetration depth, Magnetic flux quantization, type-I and type-II superconductor, Fluxoid pinning, Josephson Tunneling, Historical overview of High Tc superconductor. Corrosion and Degradation of Materials Optical properties, Nano chemicals. TEXT BOOKS: 1.

Introduction to Materials Science- A. L.Ruoff, PHI

REFERENCE BOOKS: 1. 2.

Introduction to Solid State Physics-C. Kittle Material Science: Vijay and Rangrajan

PAPER-APAB-532 SUB: Electrodynamics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Introduction, Crystal structures-Atomic arrangements, Crystals and lattices, Structure and Defects: Some simple crystals, crystallographic direction and planes, Packing of atoms in crystals, Symmetries and its relationship to properties, Imperfections in crystals, glasses, Diffractions by crystals. Types of Bonding in solids. Imperfections in solids- lattice defects- point defects and extended defects, vacancies, Interstitials, edge and screw dislocation, twin planes and grain boundaries, Colour centers. UNIT-II Mechanical Properties of Metals: Plastic deformation of solids- Special deformation behaviour of solids – Flow of fluids, Internal friction in solids- Ideal plastic behavior, vibration of mono and diatomic lattice. Electric Properties of Metals: Introduction, Free electron theory of metals, Ohm’s law and Hall coefficient, Metals, Band theory of Metals, Insulator and semiconductors, Special dielectrics. Magnetic properties- Theory of dia, para and ferromagnets, Soft ferromagnetic, hard magnetic materials, special magnetic materials. UNIT-III Thermal and Chemical Properties: Space rockets and thermal expansion coefficient, Thermal conductivity, Heat capacity, Energy changes during phase transformation, Temperature effects on properties, Electricalthermal coupling, Heat treatment, Chemical properties. Phase diagram and phase Transformation: Introduction, Binary systems, Non-equilibrium transformations, Age precipitating hardening, The Fe-C system, Segregation in binary alloys during solidification. UNIT-IV Polymers: Introduction, An idealized random chain, Degree of polymerization, Topology of vinyl polymers, Co-polymer, Condensation polymer, Network polymers, Thermoplastics and thermosetting resins, Crystalinity in polymers, Macromolecules in living matter. Magnetic properties of Metals:- Theory of dia, para and ferromagnets, Soft ferromagnetic, hard magnetic materials, special magnetic materials. UNIT-V Superconductivity: Superconductivity state, Fundamental concept, The penetration depth, Magnetic flux quantization, type-I and type-II superconductor, Fluxoid pinning, Josephson Tunneling, Historical overview of High Tc superconductor. Corrosion and Degradation of Materials Optical properties, Nano chemicals. TEXT BOOKS: 1.

Introduction to Materials Science- A. L.Ruoff, PHI

REFERENCE BOOKS: 1. 2.

Introduction to Solid State Physics-C. Kittle Material Science: Vijay and Rangrajan

PAPER-APAB-533 SUB: Nuclear and Particle Physics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Nuclear radii and charge distributions, nuclear binding energy, electric and Nuclear size and shape: magnetic moments. Nuclear Models: Liquid drop model, semi-empirical mass formula, Nuclear Fission, Magic number, Shell model. UNIT-II The Two-Nucleon Problem: The Ground state of deuteron, excited state of deuteron, n-p scattering at low energies, tensor forces and deuteron problem, p-p scattering at low energies. Nuclear Force: Central and non-central forces, Force dependent on Isospin, Exchange force, charge dependence and charge symmetry of Nuclear force, Mirror Nuclei. UNIT-III Energetic of Nuclear reaction, Compound nuclear theory, Resonance scattering, BritNuclear Reaction: Wigner formula, Nuclear Fusion, Alpha decay, Fermi’s theory of Beta decay, Selection Rules for allowed transition, Parity violation. UNIT-IV

Particle Accelerators and Detectors: G-M Counter, Scintillation Detectors, Semiconductor detectors. Radiation Hazards and Protection: Radiation Hazards, Radiation dose, Monitoring of radiations, Hazards of Laboratory contamination and precautions, Shielding Materials. UNIT-V

Particle Physics: Basic forces, Classification of Elementary particles, Spin and Parity, Determination of Isospin, Strangeness, Lepton and Baryon Number, Conservation Laws, Gellmann-Nishijima Scheme, Meson and Baryon Octet, Elementary Ideas of SU(3), Symmetry Quark Model. TEXT BOOKS: 1. 2. 3. 4.

Nuclear Physics: R.R.Roy and B.P Nigam Introductory Nuclear Theory: L. R. B. Elton Elementary Particle Physics: M.J.Longo Nuclear Physics Experiments: J. Verma

REFERENCE BOOKS: 1. 2. 3. 4. 5. 6. 7.

Theoretical Nuclear Physics: Blatt and Weisskopf Nuclear Physics: D. C. Tayal Particle Physics: R. Omens Nuclear Physics: Pandey and Yadav Nuclear Physics: I. Kaplan Concepts of Nuclear Physics: L. Cohen Introduction to Nuclear and Particle Physics: R. C. Verma

PAPER-APAB-534 SUB: External Ballistics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I General introduction-yaw-The aerodynamic forces and moments acting on a Projectile Aerodynamics: projectile-linearised aerodynamics-centre of pressure and stability-Aerodynamic coefficients-Drag laws-Angular motion of projectiles-Gyroscopic stability-Yawing behaviour-The lienarised theory of yawing motion-projectiles with slight configurational asymmetries-projectiles not obeying classical linear theory. UNIT-II Projectile Transitional Motion: The ICAO standard atmosphere-Motion in vacuum-Motion of a point mass-Trajectory modeling-constant corrections to the plane-particle trajectory, biases-variable corrections to the plane-particle trajectory, dispersion-the effect of wind-The effect of initially yaw and yawing rate-the effect of projectile asymmetries. UNIT-III Aeroballistic Design: Introduction-Artillery shell-Design criteria-Low drag design for artillery shell-stability of artillery shell. Direct Fire Projectiles: Direct fire projectiles-spin-stabilized K.E. penetrators-statically stable K.E. penetrators and long rods-Aircraft fired projectiles-Bombs and sub munitions. UNIT-IV

Aerodynamic prediction for Design purposes : Numerical solution of the full Navier-stokes equationsAnalytical estimation methods- Numerical estimation methods-semi-empirical estimation methods. Measurement of Pressure: Copper Crusher Gauge- Piezo electric gauge- Buffer pressure- pressure, space and time curve- Strain measurement- Blast measurement. UNIT-V

Photo- instrumentation: Movie camera-High-speed film camera-High sped video- Motion analyzer Ballistic Measurements: Heat- Jump- Yam- Motion analysis- Height of burst- Frequency- illumination- Laser interferometry. . TEXT BOOKS: 1.

The Books of Ballistics and Gunnery, 1987, War Office, UK.

REFERENCE BOOKS: 1.

Modern Exterior Ballistics, 1999, Robert McCoy-Schiffer publishing Ltd.

PAPER-APAB-535 (PRACTICAL) SUB: Material Science and Ballistic Measurements

Total Marks:

100

EXPERIMENT LIST:

1.

Study of thermal properties of solid using HEAT CAPACITY KIT.

2.

Study of B-H loop of a ferromagnetic specimen by using B-H Curve UNIT.

3.

Determine the Curie temperature of a ferroelectric/ferromagnetic material by using CURIE TEMPERATURE KIT.

4.

Measurement of ultrasonic velocity in solids and Young’s Modulus of those solids in YOUNG’S MODULUS KIT.

5.

Study of Lattice Dynamic KIT.

6.

Study of particle size by using LASER Apparatus

7.

Measurement of the following parameters of a given Gun (i) Angle of Yaw, (ii) Jump

8.

Measurement of the following parameters of the firing of the given ammunition (i) Height of Brust (ii) Range of an Illuminating Round (iii) The deviation from the line of fire

9.

Measurement of Acoustic signal using data acquisition system .

10.

Measurement of the angular velocity of a fin stabilized projectile by using SVR-II

PAPER-APAB-541-SP-Ballistics SUB: Terminal Ballistics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Introduction-penetration of spherical projectiles into earth-Fracture mechanics under impactMunitions: Fragmentation warheads-shaped charge warheads-High explosive squash head. UNIT-II Kinetic Energy projectiles: Penetration into resisting medium-Empirical formulae for the prediction of penetration-Analytical models of failure modes-Numerical methods-plate charges.

UNIT-III Introduction –Mechanical property requirements-Armour material Design and Defeat of Armour : characteristics –Armour structure-stress-strain relationship-Waves in rods-Defeat of armour-Failure mechanismBallistics limit. UNIT-IV Internal and External Ballistics-Introduction-Direction, Time and range of fire-projectile Forensic Ballistics: velocity-Recoil- Trajectory- Effect of projectile on hitting a target- Function of bullet shape-Striking velocity and angle- Tumbling bullets- Cavitations- Ricochet. Wound Ballistics: Threshold velocity for penetration of skin, flesh, bones- Nature of wounds on entry, exit-Explosive wounds- Evaluation of injuries caused due to shot gun, rifle, hand guns and country made firearms- Method of measurement of wound ballistic parameters- post mortem and ante- mortem firearm injuries. UNIT-V Hydro-Ballistics: Transformation of coordinates related to torpedo- Hydrodynamic drag lift and coefficients- Underwater shocks- Underwater trajectories- Cavitation and impact phase Prediction and Dispersion of Fire Dispersion- Consistency-Accuracy- Precision- Probability of a hit- Circular probability areas –Dispersion of fire against aerial targets- Ricochet- Safety zones TEXT BOOKS: 1.

The Books of Ballistics and Gunnery, 1987, War Office, UK.

REFERENCE BOOKS: 1. 2. 3. 4. 5.

T.B.B.G. pamphlet No.9 Terminal Ballistics- A Text Book and atlas of gunshot wounds, Malcom J Dodd, CRC press, Taylor & Francis publications Firearms in criminal investigation and trials, Dr. BR Sharma, 3rd Edition, Universal Law publishing Co. Pvt Ltd. Gunshot wounds- practical aspects of Firearms. Ballistics and Forensic Techniques, Vincent JM DiMaio, ,Elseviour Science publishing Co. Inc Wound Ballistics and the Scientific Background, Karl G Sellier & Beat P Kneubuehl Elseviour Science publishing Co. Inc.

PAPER-APAB-542-SP-Ballistics SUB: Ballistics Modeling and Analysis

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Mathematical and Statistical Modeling: System- Model- Classification- Modeling methods-Dimensional analysis-Finite Exploratory data analysis-Goodness of fit –Introduction to Bayesian inference-Bayes estimate and risk-Linear model- Analysis of variance- Describing systems-Dynamic systems- discrete system- system optimization Introduction to system modeling concepts- Gframework for modeling & simulation UNIT-II Advanced Modeling Techniques: Design of experiments- Model fitting- Missing data analysis- Fuzzy modeling &neural network- Neural network- Reliability and reliability models

UNIT-III Internal Ballistics: Prediction of pressure history and muzzle velocity- Lumped parameter model- gas dynamics model- The mathematical modeling of gun barrel vibration-Validation of computer models. UNIT-IV External Ballistics: Trajectory modeling- The in- vacuo trajectory model- The point-mass model- The modified point- mass modelThe six degree- of freedom model. UNIT-V Meteorology: Composition of air-Equation of state, thermodynamics of dry and moist air- Solar and terrestrial radiation- radiation balance of earth- atmosphere system- Fundamental forces in the atmosphere- Basic equations governing the atmospheric circulation-Effect of earth’s rotation- Scale analysis and simplification of equations to hydrostatic approximation and geo- strophic approximation- Circulation and vorticity- Numerical model- Weighting factors and differential corrections to trajectories TEXT BOOKS: 1. 2.

The Books of Ballistics and Gunnery, 1987, War Office, UK. System Modelling and Simulation: An Introduction, FL Seveverans

REFERENCE BOOKS: 1. 2 3.

Introduction to Mathematical method in Defence Analysis, J.S.Przemieniecki, AIAA Education Series Principles of Mathematical Modelling, 1980, Clive L.Dym & Elizabeth S,Ivy, Academic Press Theory of Modelling and Simulation, BP Zeigler, H Praehafer &TG Kim

PAPER-APAB-543-SP-Ballistics SUB: Rocket Ballistics

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Rocket motors and nozzle design- The internal ballistics of motors-Launch Ballistics of Rockets: dynamics External ballistics of rockets. UNIT-II

Fundamentals of Aerodynamics: Fundamental physical quantities- Law of conservation- Different types of flows- Aerodynamic forces- Aerofoil and wings- compressible flow-critical Match number- Drag divergence Mach number-shock wave- Expansion fan- Missile body.

UNIT-III

Introduction to Missile Propulsion: Definition of thrust and basic principles- Types of propulsion systems- Combustion chambers- Nozzle types- Basic thermodynamics- Rocket performance parameters- solid and liquid rocket system. UNIT-IV

Types of Guidance: Principle of beam rider guidance- Homing guidance system and command guidance system, Introduction to IR laws- IR systems- IR homing head, Introduction to INS, SDINS, MFAR, GPS and WAAS. UNIT-V

Introduction to Missile Control: Task of missile control system- Control methods- aerodynamic control and thrust vector control- Cartesian and polar control- rear control- canard control and moving wing control-Roll control and its necessity- Missile auto pilot.

TEXT BOOKS: 1.

The Books of Ballistics and Gunnery, 1987, War Office, UK.

PAPER-APAB-544-SP-Ballistics SUB: PROJECT Total Marks: 100

PAPER-APAB-545-SP-Ballistics SUB: SEMINAR Total Marks: 100

PAPER-APAB-641-SP-Electronics SUB: Electrical Circuits and Control

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Circuit components, KCL, KVL, Circuit analysis methods: nodal analysis, mesh analysis, basic network theorems, Superposition theorem, Thevenin’s Theorem, Norton’s theorem, Reciprocity theorem, Milliman’s theorem, Maximum Power Transfer Theorem. UNIT-II Laplace transforms of unit step, shifted unit step, ramp and impulse functions. Response of RL, RC, RLC series circuits, series and parallel resonance, bandwidth, Q-factor. Low pass, High pass, R –C filters.Low, high,bandpass and band elimination filters.

UNIT-III Open loop and closed loop control systems, Mathematical modeling of physical systems, Block diagram representation of systems – Block diagram reduction methods – Closed loop transfer function, determination of signal flow graph. Mason’s gain formula – Examples. UNIT-IV Test signals – time response of first order and second order systems – time domain specifications – types and order of systems – generalized error co-efficient – steady state errors – concepts of stability – Routh-Hurwitz stability. UNIT-V Bode plot, Root locus technique, Elementary state variable formulation, state transition matrix and response for linear time invariant systems. TEXT BOOKS: 1. 2. 3.

A course in Electrical Circuit Analysis – Soni and Gupta, Dhanpat Rai Control System Engineering, 3rd Edition, New Age International Edition, 2002- Nagrath & Gopal, Network and systems – D Roy Choudhury

REFERENCE BOOKS: 1. 2. 3. 4.

Network analysis – M.E Van Valkenberg, PHI Network analysis – G.K. Mittal Automatic Control Systems, 7th Edition – Prentice Hall of India, 2002, Benjamin.C.Kuo, Modern Control Engineering, Prentice Hall of India, 4th Edition, 2003, Ogata.K

PAPER-APAB-642-SP-Electronics SUB: Optoelectronics and Optical Communication

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Optical Processes in Semiconductors: Electron- hole Pair formation and recombination- band to band recombination- absorption in semiconductors- exciton absorption - donor-acceptor and impurity band absorption- absorption in quantum wells - radiation in semiconductors-Luminescence from quantum wells- time resolved photo luminescence. UNIT-II Semiconductor Junctions : The hetrojunction- LED structure - heterojunction LED - Edge emitting LED- I-V Characteristics -Spectral and frequency response

UNIT-III Photodetectors: Junction photo diodes- PTN-APD- Photo transistor- modulated barrier photo diode - Schottky barrier - MSM photo diode- multicavity Photo diodes - Basic Principles of Solar cells. UNIT-IV Switching Devices and Opto-electronic ICs : Electro optic modulators - Optical switching and logic devices application of OEIC’ S- materials and processing for OEIC’S - Integrated transmitters and receivers - guided wave devices UNIT-V Fiber Optic Communication Optical fibre - Characteristics and fundamental parameters - Propagating modes low loss fibres - transmission distance with optical fibres - examples of optical transmission techniques instrumentation and control with optical fibres. TEXT BOOKS: 1. 2. 3.

Semiconductor opto electronic devices-Pallab Bhattacharya PHI, 1995. Opto Electronics - Wilson and Hawker Optical Fibre Communication - Snematsu and Toa ( John Wiley and sons)

REFERENCE BOOKS: 1. 2. 3.

Opto Electronics - Texas Instruments. Opto Electronics - Jasprit Singh Fibre Optic Communication - R.L.Keiser.

PAPER-APAB-643-SP-Electronics SUB: Pulse and Digital Circuits

Marks: Internal Marks: Total Marks:

80 20 100

UNIT-I Linear Waveshaping : High pass, low pass RC circuits, their response for sinusoidal, step, pulse, square and ramp inputs. RC network as differentiator and integrator, RL and RLC circuits and their response for step input, Ringing circuit. Non-Linear Waveshaping: Diode clippers, Transistor clippers, clipping at two independent levels, Transfer characteristics of clippers, Emitter coupled clipper, Comparators, applications of voltage comparators, clamping operation, clamping circuits using diode with different inputs, UNIT-II Switching Characteristics of Devices: Diode as a switch, piecewise linear diode characteristics, Transistor as a switch, Break down voltage consideration of transistor, saturation parameters of Transistor and their variation with temperature, Design of transistor switch, transistor-switching times. UNIT-III Analysis and Design of Bistable, Monostable, Astable Multivibrators and Schmitt trigger Multivibrators: using transistors Time base Generators: General features of a time base signal, methods of generating time base waveform, Miller and Bootstrap time base generators – basic principles, Transistor miller time base generator, Transistor Bootstrap time base generator, Current time base generators. UNIT-IV Combinational Digital Circuits: Number systems and codes, De-Morgan laws, Boolean Algebra, K-map and simplification of Boolean functions using K-map, Implementation of various Boolean functions. Design of Adders, Multiplexers, Decoders, BCD to 7 segment Decoder, UNIT-V Sequential Digital Circuits: Clocked S-R Flip-Flop, J-K Flip-Flop, Master Slave J-K Flip-Flops, T and D FlipFlops, Shift registers, Synchronous and Asynchronous Counters, Ring and Johnson Couters. TEXT BOOKS:

1. 2. 3.

Pulse, Digital and Switching Circuits, J Millman and Taub, TMH, 2003. Solid State Pulse Circuits,David A Bell, 4th Ed, PHI, Digital Electronics and Computer Design – M.M. Mano, PHI

REFERENCE BOOKS: 1. 2. 3.

Pulse and Digital Circuits, MS Prakash Rao,TMH, 2006. Pulse & Digital Circuits, Anand Kumar, PHI Pulse, Digital circuits and Computer fundamentals, R Venkataraman

PAPER-APAB-644-SP-Electronics (PRACTICAL)

Total Marks:

100

SUB: Practical: Advanced Electronics Lab

PAPER-APAB-645-SP-Electronics SUB: PROJECT& SEMINAR

Total Marks: 100