Consider a system consisting of two Einstein solids, A and B, each containing N= 10 oscillators, and sharing a total of q= 20 units of energy. Assume that the two solids areweakly coupled and the total energy is fixed.
Required:
a. How many different macrostates are available to solid A or B?
b. How many different microstates are available to the combined system of A & B?
c. Starting with the exact form for the multiplicity of an Einstein solid, calculate the probability of finding all the energy in solid A, assuming that the system is in thermal equilibrium.
d. Calculate the probability of finding exactly half the energy in solid A.