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2017 M.Sc. Physics M.Sc( Previous) Physics examination2017 of Acharya Nagarjuna University Question paper
In this question paper, you can refer the question paper on classical mechanics and statistical mechanics. This question paper is a previous paper of M.Sc(Previous) Physics of Acharya Nagarjuna University.
M.Sc(Previous) DEGREE EXAMINATION, MAY2017 First Year Physics Classical Mechanic and Statistical Mechanics Time:3 Hours Maximum Marks:70  Answer any five questions
All questions carry equal marks
Q1) a) Define D' Alembert's principle and obtain Lagranges equations of motion from it for conservative systems.
b) Obtain the solution for simple pendulum using Lagrange's equations.
Q2) a) Explain Eulerian angles with neat diagrams and obtain transformation matrix involving these angles
b) Write note on coroiclis force and effect.
Q3) a)Define canonical transformations and obtain transformation equations for F1 and F4 generating functions.
b) Define Lagrange and poisson brackets also obtain the relation between Lagrange and Poisson brackets.
Q4) a)Obtain HamiltonJacobi equation.
b)Apply it to harmonic oscillator.
Q5) a)Define an ensemble. Find the probability of finding the system in any one particular state according to canonical ensemble.
b) Explain the energy fluctuations in the canonical ensemble.
Q6) a) Obtain the partition function 'Z' for ideal monatomic gas classically.
b) Using it determine the thermodynamic qualities of ideal gas.
Q7 a) Mention the fundamental postulate of statistical mechanics with examples.
b) Explain BoseEinstein condensation.
Q8) a) Obtain the equation of state of an ideal Fermi gas.
b) Write notes on white dwarf stars.
Q9) Write notes on Two of the following:
a) State and prove energy conservation theorem for a system of particles.
b)What is the physical significance of Hamilton's characteristic function.
c)Write notes on action angle variables.
d)Explain Gibb's paradox.
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