Exam Details
| Subject | classical mechanics and statistical mechanics | |
| Paper | ||
| Exam / Course | m.sc. in physics | |
| Department | ||
| Organization | acharya nagarjuna university-distance education | |
| Position | ||
| Exam Date | May, 2017 | |
| City, State | new delhi, new delhi |
Question Paper
Total No. of Questions 09] [Total No. of Pages 2
M.Sc. (Previous) DEGREE EXAMINATION, MAY 2017
First Year
Physics
Classical Mechanics and Statistical Mechanics
Time 3 Hours Maximum Marks 70
Answer any five questions
All questions carry equal marks.
Q1) Define Alembert's principle and obtain Lagranges equations of motion from
it for conservative systems.
Obtain the solution for simple pendulum using Lagrange's equations.
Q2) Explain Eulerian angles with neat diagrams and obtain transformation matrix
involving these angles.
Write notes on coroiclis force and effect.
Q3) Define canonical transformations and obtain transformation equations for F1
and F4 generating functions.
Define Lagrange and poisson brackets also Obtain the relation between Lagrange
and Poisson brackets.
Q4) Obtain Hamilton Jacobi equation.
Apply it to linear harmonic oscillator.
Q5) Define an ensemble. Find the probability of finding the system in any one
particular state according to canonical ensemble.
Explain the energy fluctuations in the canonical ensemble.
Q6) Obtain the partition function for ideal monatomic gas classically.
Using it determine the thermodynamic qualities of ideal gas
Q7) Mention the fundamental postulate of statistical mechanics with examples.
Explain Bose Einstein condensation.
Q8) Obtain the equation of state of an ideal Fermi gas.
Write notes on white dwarf stars.
Q9) Write notes on Two of the following
State and prove energy conservation theorem for a system of particles.
What is the physical significance of Hamiton's characteristic function.
Write notes on action angle variables.
Explain Gibb's paradox.
M.Sc. (Previous) DEGREE EXAMINATION, MAY 2017
First Year
Physics
Classical Mechanics and Statistical Mechanics
Time 3 Hours Maximum Marks 70
Answer any five questions
All questions carry equal marks.
Q1) Define Alembert's principle and obtain Lagranges equations of motion from
it for conservative systems.
Obtain the solution for simple pendulum using Lagrange's equations.
Q2) Explain Eulerian angles with neat diagrams and obtain transformation matrix
involving these angles.
Write notes on coroiclis force and effect.
Q3) Define canonical transformations and obtain transformation equations for F1
and F4 generating functions.
Define Lagrange and poisson brackets also Obtain the relation between Lagrange
and Poisson brackets.
Q4) Obtain Hamilton Jacobi equation.
Apply it to linear harmonic oscillator.
Q5) Define an ensemble. Find the probability of finding the system in any one
particular state according to canonical ensemble.
Explain the energy fluctuations in the canonical ensemble.
Q6) Obtain the partition function for ideal monatomic gas classically.
Using it determine the thermodynamic qualities of ideal gas
Q7) Mention the fundamental postulate of statistical mechanics with examples.
Explain Bose Einstein condensation.
Q8) Obtain the equation of state of an ideal Fermi gas.
Write notes on white dwarf stars.
Q9) Write notes on Two of the following
State and prove energy conservation theorem for a system of particles.
What is the physical significance of Hamiton's characteristic function.
Write notes on action angle variables.
Explain Gibb's paradox.