Gauhati University Question Papers for Physics 5th Semester
Gauhati University Question Papers for Physics 5th Semester
Question Paper from 2010 available
More than 50 question papers every semester
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Year
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Paper 101
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Paper 102
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2010
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2011
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2012
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2013
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2014
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More than 50 question papers every semester
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FIFTH SEMESTER
PAPER: 501 (THEORY)
(a) MATHEMATICAL METHODS-V:
1. Algebraic operation, Argand diagram, vector representation, complex conjugate, Euler’s formula, De-Moiver’s theorem.
2. Analytic function of a complex variable, Derivative of F(z) and its analyticity, contour
integrals, equivalent contours, Cauchy integral theorem, differentiation under integral sign.
3. Series expansion: Taylor and Laurent series and their simple applications.
Residues, Zeros, isolated singular points, evaluation of residues. Evaluation of definite intragrals.
(b) CLASSICAL MECHANICS:
1. Central force motion, two body central force motion, two body motion as a one body problem, general properties of central force motion, Energy and momentum as
constants of motion in central force, Energy equation involving only the radial motion, energy diagram and nature of orbits.
2. Application of central force problem to motion under inverse square force field, solution of the equation of the path to find the nature of the orbits as hyperbolic,
parabolic and elliptic.
3. Constraints, generalized co-ordinates, principle of virtual work, D’ Alembert’s principle and Lagrange’s equations of motion, simple applications of Lagrangian formulations (i) Atwood machine (ii) simple pendulum (iii) Keplerian motion (iv) bead sliding on rotating wire.(v)compound pendulum,(vi)linear harmonic oscillator
Hamilton’s principle, calculus of variation, shortest distance between two points as example, Lagrange’s equations from Hamilton’s principle, Hamiltonian of a system,
Hamilton’s canonical equations of motion, applications of Hamilton’s equations to simple problems like simple pendulum, Kepler’s problem., Poisson brackets.
14 Lectures
PAPER: 502 (THEORY)
ATOMIC PHYSICS:
1. Positive rays and their analysis: Thomson's mass parabola method; Aston's mass spectrograph, Bainbridge mass spectrograph.
2. Rutherford's nuclear atom model, alpha scattering expt; deduction of the scattering
formula.
3. Atomic spectra: Bohr's theory of hydrogen spectra; energy level diagram; Ritz combination principle; resonance, excitation, critical and ionization potentials; fine
structures of the spectral lines; Sommerfeld's extension of the Bohr's theory.
4. Vector atom model : Spectra of alkali atoms; Bohr magneton; spinning electron;
quantum numbers; Pauli's exclusion principle; explanation of the periodic classification of the elements; spectroscopic notations; source of radiation in external fields- normal Zeeman effect; anomalous Zeeman effect; Paschen-Back effect; Stark effect; Stern-Garlach experiment.
5. X-rays: Continuous and characteristic X-rays Mosley's law, Compton effect.
6. Scattering of light: Rayleigh scattering formula; colour of the sky; polarisation of the scattered light; Raman effect, experimental study of Raman effect, quantum theory of
Raman effect, application of the effect.
PAPER: 503 (THEORY)
(a) QUANTUM MECHANICS:
1. Development of quantum mechanics in light of Black body radiation, failure of classical idea, Plank's quantum hypothesis, photoelectric effect and Compton effect.
2. Matter wave: Wave particle duality, de Broglie wave associated with moving particles-(i)
non relativistic and (ii) relativistic case, verification of matter waves by (i) Davisson
Germer's experiment and (ii) G.P. Thomson's electron diffraction experiment.
3. Complimentary principle of Neils Bohr, Heisenberg's Uncertainty Principle, Gamma ray microscope experiment, application of Uncertainty Principle.
4. Wave function and its probabilistic interpretation as probability amplitude; Continuity
equation, probability density and probability current density J; Normalisation condition and normalised wave function; properties of well behaved wave function in quantum mechanics. Wave packets, Superposition of waves, phase velocity and group velocity and their relation.
5. Introduction to operator formalism, Dynamical variable as operator (position, momentum and Hamiltonian), Eigenvalues and eigenfunction; Expectation value, Ehrenfest's theorem. Schrodinger wave equation – (i) time dependent and (ii) time independent.. Correspondence Principle. Application of Schrodinger's wave equation –(i) one dimensional step potential (ii) one dimensional potential barrier, Reflection and transmission coefficients and tunneling effect, (iii) a particle in a one dimensional potential well of infinite depth (iv) one dimensional harmonic oscillator.(v) Theory of hydrogen atom- separation of variables, radial solution.
(b) ASTROPHYSICS:
1. Astrophysical Co-ordinates: Celestial coordinate systems, The right Ascension, Declination and Altitude-Azimuth coordinate systems. The ecliptic and annual motion of
the Sun across the sky the Signs of Zodiac. Identifications of the Constellations and bright stars.
2. Concept of time: Sidereal time and solar time; Greenwich Mean Time(GMT), standard time and local time; Julian date and its importance in astronomical observation.
3. Stellar Magnitude system and Distance measurement: The Stellar magnitude system and its relation with luminosity. Apparent and absolute magnitude and their relations with
distances. Trigonometric and spectroscopic parallax to determine the distances. Difference magnitude systems.
4. Spectral Classification and H.R. Diagram: Spectral classification, color index, H-D
classification. The H-R Diagram. Steller evolution and the evolutionary track of a star.
5 Lectures
PAPER: 504 (THEORY)
ELECTRONICS:
1. Volt-ampere relation of P-N junction diode (deduction not necessary), Energy band diagram of P-N diode, photo diode, LED, varactor diode and zener diode. Rectifiers- half wave and full wave with resistive load, efficiency, ripple factor, filters- series inductor, shunt capacitor, L-section and П-section. Voltage regulation and regulated Power Supply. Clipping and clamping circuits.
2. Thevenin, Norton and Millman theorem & maximum power transfer theorem.
3. Transistor, different mode of operations and characteristics of transistor, basic transistor amplifier, load line and operating point (Q point) of transistor, Stabilization of Q point, transistor biasing circuits, two port (four terminals) device and z, y and h parameters, h parameter equivalent circuit, analysis of transistor amplifier (CE) with h parameters, current gain, voltage gain and power gain, input and output impedance, Classification of amplifiers, Class A, Class B and Class C amplifiers, cascade amplifiers, small signal RC coupled amplifier (CE) and its voltage and current gain in low, mid and high frequency, frequency response curve, Phase relation between input and output, Power amplifiers, power dissipation, Harmonic distortion, large signal Push Pull Amplifier (Class B).
4. Concept of feedback, different types of feedback, advantages of negative feedback in amplifier, Barkhousen criterion, classification of oscillators, tuned collector oscillator, Phase shift(R-C) and Wein bridge oscillator, Multivibrators.
5. Direct Coupled Amplifier, differential amplifier, introduction to IC, OPAM,
characteristics of an ideal OPAM, common and differential mode, CMMR, inverting, non-inverting mode of OPAM, OPAM as scale changer, adder, subtractor, differentiator
and integrator.
6. Modulation, need of modulation, Theories of AM and FM, side-bands, power content in different parts of the modulated wave, band-width of AM and FM, modulators, amplitude
modulation circuits, circuit of square law modulation and detection, SSB transmission,
AM Transmitter (block diagrams), super heterodyne receiver (block diagram). Introduction to radio wave propagation, ground or surface wave, space or tropospheric wave and sky wave. Working and uses of CRO, Introductory idea of microprocessor.
7. Binary Number System, Decimal to binary conversion, Binary to decimal conversion, Binary addition and subtraction. OR, AND, NOT, NOR and NAND Logic gates using P-
N junction diode and transistors, Boolean Algebra, De Morgan's Theorem, Sequential circuits, Latch, RS, JK, MSJK, D and T flip flops. Introduction to binary transmission
ASK, FSK and PSK.
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