If the partition function of a harmonic oscillator with frequency at a temperature T is then the free energy of N such independent oscillators is
Select an option to see the answer and solution.
Engineering Physics · all questionsThermodynamics and Statistical Physics
Thermodynamics and Statistical Physics
practice.
Practice every MCQ with options. Use Show answers when you want the correct option and solution.
57
Questions
2/3
Page
Pick an option on a question to see the right answer and solution.
The free energy for a photon gas is given by where a is a constant. The entropy S and the pressure p of the photon gas are
Select an option to see the answer and solution.
For an energy state E of a photon gas, the density of states is proportional to
Select an option to see the answer and solution.
Which one of the following statements is not true?
Select an option to see the answer and solution.
The probability that a state which is 0.2 eV above the Fermi energy in a metal atom at 700 K is
Select an option to see the answer and solution.
Consider black body radiation in a cavity maintained at 2000 K. If the volume of the cavity is reversibly and adiabatically increased from 10 cm3 to 640 cm3, the temperature of the cavity changes to
Select an option to see the answer and solution.
For a two-dimensional free electron gas, the electronic density n, and the Fermi energy EF, are related by
Select an option to see the answer and solution.
Consider a system of N atoms of an ideal gas of type A at temperature T and volume V. It is kept in diffusive contact with another system of N atoms of another ideal gas of type B at the same temperature T and volume V. Once the combined system reaches equilibrium,
Select an option to see the answer and solution.
The internal energy of n moles of a gas is given where V is the volume of the gas at temperature T and a is a positive constant. One mole of the gas in state (T1, V1) is allowed to expand adiabatically into vacuum to a final state (T2, V2). The temperature T2 is
Select an option to see the answer and solution.
Consider a system of two non-interacting classical particles which can occupy any of the three energy levels with energy values E = 0, ε and 2ε having degeneracies g(E) = 1, 2 and 4 respectively, The mean energy of the system is
Select an option to see the answer and solution.
The number of states for a system of N identical free particles in a three-dimensional space having total energy between E and E + δE (δE ≪ E), is proportional to the
Select an option to see the answer and solution.
Two identical particles have to be distributed among three energy levels. Let rB, rF and rC represent the ratios of probability of finding two particles to that of finding one particle in a given energy state. The subscripts B, F and C correspond to whether the particles are Bosons, Fermions and classical particles, respectively. The rB : rF : rC is equal to
Select an option to see the answer and solution.
Which among the following sets for Maxwell relation is correct? (U-internal energy, H-enthalpy, A-Helmholtz free energy and G-Gibbs free energy)
Select an option to see the answer and solution.
Thermodynamic variables of a system can be volume V, pressure p, temperature T, number of particles N, internal energy E and chemical potential μ, etc. For a system to be specified by Microcanonical (MC), Canonical Ensemble (CE) and Grand Canonical (GC) ensembles, the parameters required for the respective ensembles are
Select an option to see the answer and solution.
The free energy of a photon gas enclosed in a volume V is given by where a is a constant and T is the temperature of the gas. The chemical potential of the photon gas is
Select an option to see the answer and solution.
Two particles are said to be distinguishable when
Select an option to see the answer and solution.
Identify which one is a first order phase transition?
Select an option to see the answer and solution.
The specific heat of an ideal Fermi gas in three-dimensions at very low temperature (T) varies as
Select an option to see the answer and solution.
The partition function of a single gas molecule is . The partition function of N such non-interacting gas molecules is then given by
Select an option to see the answer and solution.
A sample of ideal gas with initial pressure p and volume V is taken through an isothermal expansion proceed during which the change in entropy is found to be ΔS. The universal gas constant is R. Then the work done by the gas is given by
Select an option to see the answer and solution.