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Assignment
2
PHYSICS
8
.
284
Due
Wednesday
2006
February
22
11:04am
•
Reading:
Press,
Chapter
2,
Chapter
3.5
and
Chapter
4.1
and
4.2
through
4.2.5
(http://www.lanl.gov/DLDSTP/ay45/ay45toc.html)
12.
Assume,
for
the
sake
of
simplicity,
that
the
B
ﬁlter
in
the
Johnson
UBV
system
has
A
to
4900
˚
100%
transmission
from
3900
˚
A
,
and
0%
transmission
outside
this
range.
A
to
5950
˚
Assume
that
the
V
ﬁlter
has
100%
transmission
from
5050
˚
A
.
Compute
(by
numerical
integration,
using
Simpson’s
rule
with
only
one
interval
if
you
like)
the
fraction
of
the
total
ﬂux
emanating
in
these
two
idealized
passbands
from
black
bodies
with
each
of
the
following
temperatures:
a)
10
5
K,
b)
35
,
000
K,
c)
9700
K,
d)
6500
K,
e)
4700
K,
f)
2600
K.
The
zeropoint
of
the
UBV
color
system
is
arbitrary,
and
was
chosen
(by
Johnson
and
Morgan)
so
that
an
A0
star
would
have
U
−
B
=
B
−
V
=
0.
Compute
B
−
V
colors
for
the
black
body
temperatures
above,
choosing
your
zero
point
so
that
a
9700
K
black
body
has
B
−
V
=
0.
Suggestion:
In
doing
numerical
integrals
it’s
often
a
good
idea
to
take
all
the
di
mensioned
constants
outside
the
integral
and
change
variables
so
that
one
integrates
over
a
dimensionless
variable,
e.g.
let
the
variable
of
integration
be
x
=
h /kT
or
y
=
hc/θkT
.
The
dimensioned
constants
set
the
scale
of
the
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This note was uploaded on 02/26/2012 for the course PHYS 8.284 taught by Professor Rappaport during the Spring '06 term at MIT.
 Spring '06
 rappaport
 Physics

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