1. EXAM 1 OF STATISTICAL PHYSICS
1. A system consisting of 30 distinguishable particles distributed over three energy levels
which are not degenerate and labeled as 1, 2 ,3 so that NI=N2=N3=10. Energy at
each energy levels is
a. In the event of the occupation numbers at level 2 change so that dN2=-2, what
the level of dN1 and dN3 if the system is closed and isolated.
b. Calculate the number of micro state before and after the change occurs.
2. A system consisting of 4 particles are distributed over 3 energy level. The 1st
level has
energy of 1 quanta and consist of 1 energy state, 2nd
lever has energy of 2 quanta
and consists of 2 energy states, and 3rd
level has energy of 3 quanta and consists of 3
energy states.
a. Give all possible macro state of the system.
b. Calculate the number of all possible micro state for every macro state if the
particles are classic.
c. Draw the possible micro state for the macro state of ni=1, n2=3 and n3=0 if the
particles are classic
d. If the total internal energy of the system is 8 what macro state having the
most probable one.