Thermodynamics And Statistical Physics — Part 2 MCQs with Explanations

$$\frac{3}{2}N{k_B}\ln \left[ {\frac{{T_1^2 + T_2^2}}{{4{T_1}{T_2}}}} \right]$$ is the correct answer to “Each of the two isolated vessels, A and B of fixed volumes, contains N molecules of a perfect monatomic gas at pressure p. The temperatures of A and B are T 1 and T 2 respectively. The two vessels are brought into thermal contact. At equilibrium, the change in entropy is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

N is the correct answer to “The total number of accessible states of N non-interacting particles of spin $$\frac{1}{2}$$ is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

the entropy decreases when the system transforms from liquid to solid phase in this region is the correct answer to “The pressure versus temperature diagram of a given system at certain low temperature range is found to be parallel to the temperature axis in the liquid to solid transition region. The change in the specific volume remains constant in this region. The conclusion one can get from the above is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

$$p = \frac{3}{5}\frac{U}{V}$$ is the correct answer to “The pressure for a non-interacting Fermi gas with internal energy U at temperature T is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

$$\frac{{{Q_1}}}{{{T_1}}} = \frac{{{Q_2}}}{{{T_2}}}$$ is the correct answer to “A Carnot cycle operates on a working substance between two reservoirs at temperatures T 1 and T 2 , where, T 1 > T 2 . During each cycle an amount of heat Q 1 is extracted from the reservoir at T 1 and an amount Q 2 is delivered to the reservoir at T 2 . Which of the following statements is incorrect”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

kBT is the correct answer to “The mean internal of a one-dimensional classical harmonic oscillator in equilibrium with a heat bath of temperature T is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

positive or zero is the correct answer to “For any process, the second law of thermodynamics requires that the change of entropy of the universe be”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

is reduced to half is the correct answer to “The mean free path of the particles of a gas at a temperature T 0 and pressure p 0 has a value λ 0 . If the pressure is increased to 1.5 p 0 and the temperature is reduced to 0.75 T 0 , the mean free path”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

NkBT is the correct answer to “A system of N non-interacting classical point particles constrained to move on the two-dimensional surface of a sphere. The internal energy of the system is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

100 is the correct answer to “The dimension of phase space of ten rigid diatomic molecules is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

$${\phi _n}\left( {{r_1}} \right){\phi _s}\left( {{r_2}} \right)$$ is the correct answer to “The wavefunctions of two identical particles in stated n and s are given by $${\phi _n}\left( {{r_1}} \right)$$ and $${\phi _s}\left( {{r_2}} \right)$$ , respectively. The particles obey Maxwell-Boltzmann statistics. The state of the combined two particles system is expressed as”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

200 is the correct answer to “The vapour pressure p (in mm of Hg) of a solid, at temperature T, is expressed by In p = 23 - 3863/T and that of its liquid phase by In p = 19 - 3063/T. The triple point (in kelvin) of the material is”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

$$\frac{1}{{{e^{\left( {\mu - \varepsilon } \right){k_B}T}} + 1}}$$ is the correct answer to “The probability that an energy level E at a temperature T is unoccupied by a fermion of chemical potential μ is given by”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.

Vaporization of a liquid at its boiling point is the correct answer to “Which one of the following is a first order phase transition”. This question is standard in competitive examination syllabi for Thermodynamics And Statistical Physics.