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Gauhati University Question Papers for Physics 2nd Semester

Gauhati University Question Papers for Physics 2nd Semester

Question Paper from 2010 available

    


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Year
Paper 101
 Paper 102
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2010
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SECOND SEMESTER

PAPER: 201 (THEORY) 
         
  
(a) MATHEMATICAL METHODS-II:     

1.   Integration of vectors: Ordinary integration of vectors. Line integral, surface integral and volume integrals and their applications to simple problems.Green's theorem in the plane Gauss's divergence theorem, Stokes’ theorem and their applications.      

2.   Curvilinear co-ordinate system: Curvilinear co-ordinates, Unit vectors and scale factors in curvilinear co-ordinates systems, orthogonal curvilinear co-ordinates, plane polar co- ordinates,  right  circular  cylindrical  co-ordinates  and spherical  polar  co-ordinates.  Arc length,  area  and  volume  elements  in  each  of  these  systems.  Divergence,  curl  and Laplacian in plane polar co-ordinates, right circular cylindrical co-ordinates and spherical polar co-ordinates. Application of above concept to simple physical phenomena.

3.   Gamma  and Dirac  Delta  function:  Elementary  introduction  to Gamma  function  and
Dirac Delta function.                                                                                             

(b) PROPERTIES OF MATTER:          

1.   Elasticity: Different type of elastic constants and relation among them. Energy in a strained body, torsion of a rod, torsional  oscillation,  bending of beam, bending  moment,  cantilever,
depression of a cantilever considering the weight of the beam. 

2.   Surface tension: Surface tension, relation between surface tension and surface energy E=S-T dS/dT, excess pressure  inside a curved liquid surface.  Determination  of surface tension by ripple method.
  
3.   Viscosity:  Poiseullie's  equation  for flow of a liquid through  narrow  tube. Determination  of viscosity by rotating viscometer.                                                            






PAPER: 202 (THEORY)            
HEAT AND THERMODYNAMCS:          




1. Kinetic theory of gases, pressure exerted by a gas using spherical polar coordinates, degree   of  freedom,   law  of  equipartition   of  energy,   Maxwell   Law  of  velocity distribution,  Maxwellian  mean free path, transport phenomena – viscosity, Brownian motion  (Einstein’s  – Langevin’s  theory),  experimental  determination  of Avogadro’s number, examples of Brownian motion.                                                        

2. Equation of state of a gas, Andrew’s experiment,  Van der Waal’s equation of state, critical  constants  and  law  of  corresponding  states.  Thermal  conductivity,  Fourier
equation for rectilinear flow of heat and its solution.   Platinum resistance thermometer
Thermal  conductivity,  Fourier equation  for rectilinear  flow of heat and its solution. Platinum resistance thermometer.                                                                    
3. Zeroth  and  first  law  of  thermodynamics,  specific  heats  of  gases,  isothermal  and adiabatic  processes.  Reversible  and  irreversible  processes,  conversion  of  heat  into work, Carnot cycle, Carnot’s theorem. Second law of thermodynamics:  Heat engine, Kelvin-Planck statement of second law, Clausius’ statement of second law, equivalence of Kelvin-Planck   and   Clausius’ statements, Kelvin’s thermodynamical scale of temperature  and  its  relation  to  perfect  gas  scale,  Clausius  formulation  of  entropy, entropy changes in reversible and irreversible processes, entropy of ideal gas, relation between entropy and probability.                                                                     15 Lectures
4. Enthalpy,  Gibbs-Helmholtz  function,  Maxwell’s  thermodynamic  relations  and  their applications, Gibbs phase rule, triple point, Joule-Thomson effect, adiabatic demagnetization. Black body radiation, Kirchoff’s law of radiation, radiation pressure,
Stefan-Boltzmann   law,  Wein’s   displacement   law,  Rayleigh-Jean’s   law,  Planck’s radiation law.                                                                                                     

















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