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PHYS 313: Homework 1
This homework due Wed. Sept. 7
1. (4 points) Find the number of ways in which 8 people can be assigned to two rooms
(A and B) such that each room must have at least 3 people in it.
2. (4 points) How many four-digit integers are ther
.
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Problem 1 (6 points):
A system consists of non-interacting atoms. Each one can be in either a two-fold degenerate s-state
or a six-fold degenerate p-state of the same energy as the s-state.
a) [3 points] It is not known which of these eight states any
Evaluate ZR ( ) approximately for
0 , by converting the sum to an integral.
We get, after converting the sum to an integral,
ZR ( ) =
Z 1
1
2
dj(2j + 1)exp( j(j + 1)0 / )
(48)
The lower limit on the integral is 1/2 since the function looks like a Gaussia
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PHYS 313: Homework 2
This homework due Mon Sept 12
1. (4 points)
A
B
Two systems, A and B, can exchange energy between them. System A has a nondegenerate ground state with energy E = 0, a two-fold degenerate level with E = ,
and a three-fold degenerate
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PHYS 313: Homework 5
This homework due Mon Oct 3
1. (5 points) Calculate the temperature of the surface of the Earth on the assumption
that as a black body in thermal equilibrium it radiates as much thermal radiation as
it receives from the Sun. Assume
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PHYS 313: Homework 3
This homework due Mon Sept 19
1. (5 points) Consider two large systems, A and B. The entropy A of A is given as a
function of its energy UA by the expression A = (UA /U0 )1/3 , while the entropy B of
B is given as a function of its
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PHYS 313: Sample First Hour Exam
Problem 1 (6 points):
A system consists of non-interacting atoms. Each one can be in either a two-fold degenerate
s-state or a six-fold degenerate p-state of the same energy as the s-state.
a) [3 points] It is not known