PHYSICS 313
Review problems for final 2002.

These problems concentrate on material in Chapter 6 in text. You should also look at previous problems and exams when preparing for the final.
Given Nov. This problem set is optional, you can use it to get credit for problem sets that you have missed if you hand it in at the beginning of class November 29.

Problem 1:
a: A particle can be in one of three states with energies, respectively, -0.1, 0 and +0.1 eV. Calculate the probability for the particle to be in each of these states at room temperature.
b: A system consists of 2 particles each of which can be in any of the three states above. List the possible states of the system if

• The particles are distinguishable.
• The particles are indistinguishable and only one particle can be in each state.
• The particles are indistinguishable and the two particles are allowed to (but need not) be in the same state.

Problem 2:
When discussing the Einstein solid you may wish to consider a subsystem consisting of a single oscillator, with the other oscillators of the system constituting a "heat bath". This oscillator can have any number 0,1,2$\cdots$ quanta excited. assume that the energy of each quantum of vibration is 0.02 eV.
a: What is the probability that the oscillator vibrates with exactly 3 quanta at $T=300K$.
b: What is the average thermal energy stored in the oscillator at 300 K.
Problem 3:
a: Calculate the most probable speed, the average speed and the rms speed for an oxygen molecule at 300K.