Thermodynamics And Statistical Physics - Study Mode
[#46] For a Fermi gas of N particles in three-dimensions at T = 0 K, the Fermi energy E F is proportional to
Correct Answer
(A) $${N^{frac{2}{3}}}$$
[#47] The partition function of two Bose particles, each of which can occupy any of the two energy levels 0 and $$varepsilon $$ is
Correct Answer
(C) $$2 + {e^{frac{{ - 2varepsilon }}{{kT}}}} + {e^{frac{{ - varepsilon }}{{kT}}}}$$
[#48] It is necessary to apply quantum statistics to a system of particles, if
Correct Answer
(D) the particles are interacting
[#49] Consider the Fermi-Dirac distribution function f(E) at room temperature (300 K), where E refers tb energy. If E F is the Fermi energy, which of the following is true?
Correct Answer
(B) f(E F ) has a value of $$frac{1}{2}$$
[#50] The phase diagram of a free particle of mass m and kinetic energy E, moving in one-dimensional box with, perfectly elastic walls at x = 0 and x = L, is given by
Correct Answer