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Assignment
#6
PHYSICS
8.284
Due
11:04am
2006
March
24
Friday
•
Reading:
Clayton
§
4.3
through
equation
(462).
Hansen
Kawaler
§§
6.35.
1.
Our
midterm
exam
(24
March)
will
be
closed
book
except
for
a
single
sheet
of
8
.
5
×
11
inch
paper
(two
sides)
on
which
you
may
write
anything
you
think
will
help
you
on
the
exam.
Please
prepare
such
a
sheet
and
submit
it
as
your
ﬁrst
problem
for
this
set
and
bring
a
copy
of
the
sheet
to
the
exam
.
2.
Using
homology
arguments,
we
found
the
following
relation
for
the
dependence
of
the
luminosity
of
a
star
on
its
mass
M
,
radius
R
,
Kramer
opacity
coeﬃcient
0
,
and
15
/
2
−
1
mean
molecular
weight
µ
:
L
=
CM
11
/
2
µ
R
−
1
/
2
,
where
C
is
a
constant.
0
a)
Use
the
Sun
to
estimate
the
value
of
C/
0
taking
the
Sun’s
composition
(mass
fractions)
to
be
X
=
0.70,
Y
=
0.28,
Z
=
0.02.
b)
Suppose
one
had
a
star
with
X=0.98
and
Z=0.02,
i.e.
no
helium,
but
otherwise
identical
to
the
Sun.
By
what
factor
would
this
star
be
brighter
or
fainter
than
the
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 Spring '06
 rappaport
 Physics

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