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(e) The highest frequency is, in units of
h
/8
mL
2
, 3.75 (2, 2
→
1,1).
(f) The second highest frequency is, in units of
h
/8
mL
2
, 3.00 (2, 2
→
1,2) or (2, 1
→
1,1).
(g) The third highest frequency is, in units of
h
/8
mL
2
, 2.25 (2, 1
→
1,2).
25. The energy levels are given by
E
h
m
n
L
n
L
h
mL
n
n
nn
x
x
y
y
x
y
xy
,
=+
L
N
M
M
O
Q
P
P
L
N
M
M
O
Q
P
P
22
2
2
2
2
2
2
2
88
4
where the substitutions
L
x
=
L
and
L
y
= 2
L
were made. In units of
h
2
/8
mL
2
, the energy
levels are given by
/4
+
. The lowest five levels are
E
1,1
= 1.25,
E
1,2
= 2.00,
E
1,3
=
3.25,
E
2,1
= 4.25, and
E
2,2
=
E
1,4
= 5.00. It is clear that there are no other possible values
for the energy less than 5. The frequency of the light emitted or absorbed when the
electron goes from an initial state
i
to a final state
f
is
f
= (
E
f
–
E
i
)/
h
, and in units of
h
/8
mL
2
is simply the difference in the values of
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This note was uploaded on 06/03/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Energy

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