STATISTICAL MECHANICS (PREVIOUS SET QUESIONS)

  Module 4. Statistical Mechanics 

 Thermodynamic potentials, Maxwell relations, chemical potential, phase equilibria. Phase space, micro and macro states. Micro- canonical, canonical and grand-canonical ensembles and partition functions. Free energy and its connection with thermodynamic quantities. Classical and quantum statistics. Ideal Bose and Fermi gases. Blackbody radiation and Planck’s distribution law, Bose- Einstein condensation

PREVIOUS YEAR QUESTION PAPER

SET 2019/7

82. Which among the following is NOT an intensive thermodynamic variable?

A) temperature    B) pressure  C) volume    D) magnetic field

83. Any thermometer works on the basis of ------.

A) law of minimum energy B) zeroth law of thermodynamics

C) equipartition principle D) ergodic hypothesis

84. “A process whose sole result is to convert into work heat from a source at one temperature

throughout is impossible”. This is:

A) Third law of thermodynamics    B) First law of thermodynamics

C) Kelvin’s statement of second law of thermodynamics

D) Calusius statement of second law of thermodynamics

85. Melting of ice is an example of ------phase transition.

A) first order    B) second order   C) zeroth order    D) lambda

86. The probability of occupancy of Fermi level at 0°C and 100°C are respectively-----.A) 0 and1    B) 1 and 0    C) 1 and 1    D) none of these

87. ---------ensemble is used for studying systems in equilibrium with a reservoir.

A) microcanonical B) canonical   C) grand canonical D) macrocanonical

88. For statistically analysing spectral distribution of black body radiation, one has to use----

A) Maxwell-Boltzmann statistics    B) Fermi-Dirac statistics

C) Bose-Einstein statistics              D) Ergodic hypothesis

89. -------is the λ-transition temperature in liquid He.

A) 4.2K B) 2.186°C C) 72K D) none of these

108. The Gibb’s potential is defined as

A) G = U- PV-TS         B) G = U-PV+TS

C) G = U+PV+TS        D) G = U+ PV-TS

116. According to which statistics, the energy at absolute zero cannot be zero?

A) M - B     B) F-D    C) B-E     D) All the above

SET 2019/2