Statistical Mechanics exam question

In summary, the conversation discusses various concepts related to energy levels and gases, such as degenerate energy levels, degenerate gases, Gibbs paradox, gravitational potential energy, Fermi energy, Sahas ionisation formula, principle of detailed balance, chemical potential of photon gas, electron ejection from metals, significance of partition function, and pressure exerted by radiation.
  • #1
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I have my main UG exam on Sat & i dnt have answer to these questions . Help me out



Q. Distinguish b/w degenerate energy level & a degenerate gas ?

Ans : Degenrate level : A single energy level can be degenerate with another energy level , no difference b/w their energies . Degenerate gas : All particles occupy a single level at a particular temp. for a fermi gas at T=ok gas is completely degenerate , A BE gas show strong degeneracy at T < To .

Q. Which feature of classical statistical is responsible for Gibbs paradox ?

Ans : Entropy

Q. Why can't gravitational potential energy be asssociated with law of equipartition of energy ?

Ans : As it is of quantized character . More explanation needed

Q. A bose gas, fermi gas , classical gas are at same temp ,pressure & hve same no. of molecules . Which one wud hve least volume , largest volume . Give reason

Q.What kind of energy is fermi energy ?

Q. How is Sahas ionisation formula used to estimate stellar temp ?

Q.Explain the principle of detailed balance in lasers ?

Q.Why the chemical potential of a photon gas is zero ?

Q.Why is that electrons are not ejected out spontaneously from the metal inspite of having tremendous zero point pressure ?

Q.Significance of partition function ?

Q.Write the expression for pressure exerted by radiation for 1. Normal radiation ,2. diffuse radiation in terms of energy density

Q. Calculate the mean no. of photons per unit volume at a temp of 300k ?
 
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  • #2
Q. Distinguish b/w degenerate energy level & a degenerate gas ?

ANS: Degenerate level: the energy levels that have more than one energy states with
same energy are known as degenerate energy level.

whereas the gas which shows departure from the ideal gas behaviour
are known as degenerate gas.
 
  • #3
Q. Distinguish b/w degenerate energy level & a degenerate gas ?

ANS: Degenerate level: the energy levels that have more than one energy states with
same energy are known as degenerate energy level.

whereas the gas which shows departure from the ideal gas behaviour
are known as degenerate gas.
 

FAQ: Statistical Mechanics exam question

1. What is statistical mechanics?

Statistical mechanics is a branch of physics that uses statistical methods and probability theory to understand and predict the behavior of a large number of particles or systems.

2. What topics are typically covered in a statistical mechanics exam?

The topics covered in a statistical mechanics exam may include thermodynamics, the kinetic theory of gases, phase transitions, and the statistical mechanics of quantum systems.

3. How is statistical mechanics used in real-world applications?

Statistical mechanics is used in various fields such as physics, chemistry, and engineering to analyze and predict the behavior of systems with a large number of particles, such as gases, liquids, and solids. It is also used in the study of complex systems, such as biological systems and the behavior of materials under extreme conditions.

4. What are some common mathematical tools used in statistical mechanics?

Some common mathematical tools used in statistical mechanics include probability theory, calculus, and differential equations. Other important concepts include statistical ensembles, partition functions, and thermodynamic potentials.

5. How can I prepare for a statistical mechanics exam?

To prepare for a statistical mechanics exam, it is important to review key concepts and equations, practice solving problems, and understand the underlying principles and theories. It can also be helpful to work through practice exams and seek help from a tutor or study group if needed.

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