Physics 285
Practice Concept Quiz 6

1.  Which of the following is NOT one of the assumptions underlying the derivation of the Maxwell-Boltzmann distribution?
 
the particles are identical and distinguishable.
the equilibrium distribution will be the most likely way of distributing the particles
there is no theoretical limit to the number of particles in a given state
most of the particles will be in the lowest energy state

2.  Which of the following statements is true concerning the Maxwell-Boltzmann distribution?
 
 
It gives the probability/occupancy as a function of energy.
Its maximum value is A and its minimum value is 0.
It describes the energy distribution in the classical limit.
All of the above.

3.  The integral over all velocities v of a normalized Maxwell Boltzmann distribution for the velocities of particles
in an ideal gas is equal to
 
the average energy
one
the total number of particles
the probability

4.  For a H atom at room temperature, the probability of finding the electron in the ground state is approximately equal to
 
0
1
exp(-13.6/kT)
0.5

5.  For any quantity X, the average, or expected value of X is equal to
 
 
 the sum over all energies.
the sum over all probabilities.
the sum over all X P(X), where P(X) is the probability.
the produce of the most likely energy times its probability

6.  Which of the following is NOT an example of a fermion?
 
 
electron
proton
neutron because it is neutral
photon

7.    The Fermi energy is the energy for which/at which
 
 
F(E) = 0.5
all states below are full and all states above are empty.
the maximum number of electrons will be found.
the energy is equal to kT

8.   Which of the following is NOT an example of tunneling?
 
The emission of electron from a hot filament.
The emission of electrons from a metal under the application of a large external electric field.
The emission of radiation from a black hole.
The radioactive emission of an alpha particle from a nucleus.

9.  An energy state is degenerate when
 
 
more than one energy corresponds to a single state.
more than one state exists for a given energy.
the number of states is much larger than the number of particles
the behavior of the system is less than reputable.

10.  Which of the following statements is correct?
 
The velocity distribution for particles in an ideal gas is limited at low velocities by the probability of occupation.
The velocity distribution for particles in an ideal gas is limited at low velocities by the available number of states.
The velocity distribution for particles in an ideal gas is limited at high velocities by the available number of states.
The velocity distribution for particles in an ideal gas is limited at low velocities by the Pauli exclusion principle.

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


 
 
 
 
 
 


Correct

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


 
 
 
 


Incorrect