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29.5. Set Up:
For the
N
shell
Solve: (a)
The smallest
l
is
so
(b)
The largest
l
is
so
(c)
Let the chosen direction be the
z
axis. The largest
m
is
(d)
The maximum value is
(e)
Reflect:
The orbital and spin angular momenta are of comparable sizes.
29.6. Set Up:
d
means
and means
Solve: (a)
There are ten 3
d
states:
with
for each.
(b)
There are no
states. These states would have
But the maximum
l
is
and
doesn’t
occur for
29.7. Set Up:
g
means
with
and
Solve: (a)
There are eighteen 5
g
states:
with
for each.
(b)
The largest
is for the most negative
The most negative
is
and
(c)
The smallest
is for the largest positive
which is
and
Reflect:
The minimum angle between
and the
z
axis is for
and for that
29.8. Set Up:
Classically,
For a solid uniform sphere,
For an electron,
Solve:
gives
Note
that
gives that a point on the surface has
which greatly exceeds the speed of light.
29.9. Set Up:
Solve:
29.10. Set Up:
Solve: (a)
(b)
There are 25 combinations of
l
,
values. For each,
s
can be
or
Therefore,
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This note was uploaded on 03/06/2009 for the course PHYS 114 taught by Professor Shoberg during the Spring '07 term at Pittsburg State Uiversity.
 Spring '07
 Shoberg

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