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(b)
and
Reflect:
The
transition energy is smaller than the
transition energy so the wave
length is longer. In fact, this wavelength is longer than for any transition that ends in the
state.
28.22. Set Up:
The
ground state has
Solve: (a)
(b)
(c)
(d)
The minimum energy of the atom when the electron is no longer bound is
(e)
This photon is in the ultraviolet.
28.23. Set Up:
Section 28.3 calculates that
and
Solve: (a)
so
and
(b)
so
and
(c)
Reflect:
As
n
increases,
r
increases,
decreases and
E
becomes less negative.
28.24. Set Up:
If an atom gains energy in a transition, conservation of energy requires that a photon is absorbed. If
the atom loses energy in a transition, a photon is emitted. The transition energy of the atom equals the energy of the
photon that is absorbed or emitted.
Solve: (a)
so
and
In the
to
transition the atom loses
energy and a photon is emitted.
(b)
so
28.25. Set Up:
For a hydrogen atom
where
is the magnitude of the energy change
for the atom and
is the wavelength of the photon that is absorbed or emitted.
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 Spring '07
 Shoberg
 Energy

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