PAPER H 401 ELETRICITY & MAGNETISM II Mark – 35 Pass Marks : 12 Group A Classical Electricity and Magnetism Electro...
PAPER H 401
ELETRICITY & MAGNETISM II
Mark – 35
Pass Marks : 12
Group A Classical Electricity and Magnetism
Electromagnetic induction: Electric and Magnetic flux, Electro-motive force, Faraday's law of induction (differential and integral form), Lenz's law, Self and Mutual induction and their relation for two coils, Toroids.
Magnetic properties of materials: Magnetic moment due to spin and orbital motion of the electron in atom, Effect of magnetic field on the angular momentum of electron; Distinguishing features of dia, para and ferro-magnetic material, Langevin theory of dia and para-magnetism, Currie-Weiss law & Domain theory of Ferro-magnetism, Ferrites; Phenomenon of Hysteresis. and Hysteresis loss.
Group B Electromagnetic Theory
Electromagnetic Theory: Equation of continuity and conservation principle in electromagnetism, Concept of Maxwell's displacement current and derivation of Maxwell equations (in vacuum and in medium), Wave equation of electromagnetic (EM) wave in vacuum and in medium and its identification of light; Wave equation in terms of scalar and vector potential, Lorentz and Coulomb gauge conditions; Transverse EM (TEM) wave and orthogonality of E, B and direction of propagation vector; EM wave in conducting medium - Skin effect;
Poynting Theorem and Poynting vector and their physical meaning.
Dispersion: Equation of motion of electron in a radiation field, Lorenz theory of dispersion for both normal and anomalous, Cauchy’s formula; Rayleigh scattering, Blueness of sky.Raman effect and its theory-Expression of intensity of antistoke’s line.
Group C AC circuits
Transient current :Growth and decay of current in LR, CR, LC, LCR circuits, Induction coil. A.C.
Circuits : Complex number approach in solving A.C. circuit problems, Phasor diagram– resistance, reactance & impedance; Series and Parallel Resonance - sharpness of resonance, power & Q- factors, bandwidth; magnetically coupled circuit– transformer and the loading effect of its coils, Rotating magnetic field.
PAPER H 402
ELECTRONICS
Total Marks – 35 Pass marks : 12
Group A Network Analysis and Transistors
Network theorems: Thevenin’s, Norton’s & Maximum power transfer theorem. Introduction to thermionic emission, Richardson’s equation, Child-Langmuir law, Junction diode-pn diode equation, characteristic curve, Depletion region & junction Capacitance. Rectifiers- ripple factor, percentage regulation & efficiency. Filter circuits:- shunt capacitor, series inductor & Lsection filters (qualitative descriptions). Zener diode –Avalanche & zener effect,voltage regulation with Zener diode. Rectifiers- ripple factor, percentage regulation & efficiency.
Junction transistor- Types of biasing & their stability ; Transistor as four terminal network-h,
Y & Z parameters, transistor configurations. h parameter equivalence of a transistor in C-E mode, d.c. & a.c. load lines, Operating point of class A, B, AB & C amplifiers. Idea of multistage amplifier, frequency response of two stage R-C coupled C-E amplifier- gain & band width. Power amplifier characteristics, push-pull class B amplifier. Feedback in amplifiers, Barkhausen criteria;
Group B Oscillators, Modulators and Integrated circuits
Oscillators: Tuned collector, series fed Hartley Oscillator, Phase-shift R-C oscillator; Tuned amplifiers—advantages, frequency response, single tuned amplifier and its a.c. equivalence.
Multivibrator:- Astable, Mono-Stable and Bistable
Modulation:- types, theory of Amplitude Modulation, collector modulated class C amplifier; Demodulation- diode detector circuit for the demodulation of AM wave, Block diagram & description of super heterodyne radio receiver.
Integrated Circuit : Differential amplifier—common and differential mode voltage gain, CMRR. Characteristics of ideal and real OPAMPs, concept of virtual ground, Approx. analysis of inverting and non-inverting mode of operation. Application of OPAMPs — sum and difference amplifier, integrator, differentiator.
PAPER H 403
STATISTICAL MECHANICS, PLASMA PHYSICS
Total Marks : 35
Pass Marks:12
Group A : Statistical Mechanics
Phase space: Concept of Microstates and macrostates, Basic postulates - equal priori probability
and ergodic hypothesis, Liouville theorem and conservation of density in phase space, Statistical ensemble - Micro-canonical, Canonical and Grand canonical ensemble and their partition functions, Relation of statistical mechanics with thermodynamics - Expressions of different thermodynamical quantities (e.g. Free energy, pressure, average energy, entropy, Specific heat) in terms of partition function;
Classical statistics: Maxwell-Boltzamann distribution function, Calculation of thermodynamical quantities for ideal gas, Maxwell-Bolzamann velocity distribution law, (Average, most probable velocity and root mean square speed and their relation; Principle of equipartition of energy. )
Quantum statistics: Concept of indistinguishability, Entropy of mixing and Gibb's paradox, Resolution of Gibb's paradox introducing indistinguishability;
Bose-Einstein distribution function and its behaviour with temperature, Basic idea of phenomenon Bose-Einstein condensation (Qualitative description), Calculation of various thermodynamical quantities of photon gas (black body radiation);
Fermi-Dirac distribution function and its behaviour with temperature, Basic idea of Fermi surface and fermi energy, Calculation of various thermodynamical quantities of free electron gas; Classical limits and distinguishing features of classical and quantum statistics.
Group B : Plasma Physics
Plasma – its definition, composition and characteristics, microscopic and macroscopic description of plasma.
Motion of charged particle in uniform magnetic field, motion of charged particle in uniform electric and magnetic field B-drift, curvature drift, magnetic confinement of plasma.
Collision processes in Plasma- Non-Coulomb collisions, electron plasma oscillation and ionplasma oscillation, Pinch effect - Quasi equilibrium pinch effect and dynamic or time varying pinch effect, Solar corona and Solar wind, Van Allen radiation belt.
Transport phenomena in plasma-diffusion and mobility, Ambipolar diffusion and its coefficient.
PAPER H 404
HONOURS LABORATORY II
(At least 14 experiments are to be performed during the year. Two experiments, one from each group are to be performeded in eight hours during examination ) Marks: 90
Group : A (Marks –60)
2. Determination of thermal conductivity of the given rod by Searle’s apparatus.
3. To determine the melting point of a solid with the help of a thermocouple.
4. The determine the ballistic constant of a ballistic galvanometer.
5. Determination of the angle of minimum deviation of the angle of the given prism with the help of spectrometer & hence to find the refractive index of the material of the prism.
6. To draw the calibration curve connecting refractive index & wave length of some known lines using prism & spectrometer & hence to calculate the wave length of an unknown line.
7. To draw the calibration curve connecting the deviation of a ray by a prism & wave length of some known lines using spectrometer & hence to calculate the wave length of unknown line
8. Determination of the width of a single slit by the Spectrometer with diffraction method.
9. To determine the grating constant of plane diffraction grating & hence to find the wave length of the an unknown line.
10. To draw the calibration curve & hence determine the concentration of an unknown solution with the help of a polarimeter.
11. To determine the wavelength of monochromatic source by Fresnel’s biprism.
12. To determine the wave length of monochromatic light by Newton’s ring experiment.
13. To verify Jurin’s law and determination of surface tension of water.
14. Determination of coefficient of linear expansion of the given rod by travelling microscope / optical liver method.
Group : B (Marks –30)
( Use FORTRAN / C/C++ ,for writing the following programmes)
15. a)To find maximum, minimum & range of a given set of numbers.
b) To add, multiply and find inverse of a given (3x3) matrix.
16.
- To arrange the given set of 10 numbers in increasing or decreasing order, calculate the mean.
- To solve the given three simultaneous equations by elimination method .
15. To find the roots of a given quadratic equation.
16. To fit a straight line or a parabolic curve to a given set a data.
17. To find values of (a) sin x, (b) cos x, (c) ex considering their series expansion.
18. To solve first order, homogeneous, linear differential equation.
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