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MP_Assignment#10
Due: 9:35am on Monday, May 9, 2011
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Electron Transitions and Spectral Lines Conceptual Question
Description:
Conceptual question on spectral lines corresponding to electron transitions.
The spectrum of a hypothetical atom is shown in the figure. Three distinct spectral series are shown, with the
center series corresponding to transitions to a final
state of
. The indicated spectral line
corresponds to the transition from an initial state of
to the final state
.
Part A
Which of the lettered spectral lines corresponds to the transition from
to
?
Hint A.1
Spectral series
In many atoms, the spectral lines corresponding to transitions to the same final state are naturally
grouped together into
spectral series
. (In hydrogen, these series are given the names Lyman, Balmer,
Paschen, etc.) In the hypothetical atom under investigation, the same phenomenon occurs, where the
middle series corresponds to all of the transitions involving the final state
.
Hint A.2
Finding lines within a series
Within any series, the lines furthest to the right correspond to the longest wavelength, and hence lowest
energy, transitions. As you move to the left within a series, the energy involved in the transition
increases.
ANSWER:
D
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Part B
Which of the lettered spectral lines corresponds to the transition from
to
?
Hint B.1
Identifying different series
Series are arranged such that transitions involving larger amounts of energy are to the left of series
involving smaller amounts of energy. Since the energy difference between successive energy levels gets
smaller as
increases, this allows you to differentiate between different series.
Hint B.2
Identify the
series
The
series involves transitions with a final energy state of
. Since the energy difference
between successive energy levels gets smaller as
increases, is the
series to the right or left of
the
series?
ANSWER:
right
left
ANSWER:
H
Part C
Which of the lettered spectral lines corresponds to the transition from
to
?
ANSWER:
A
The Bohr Atom
Description:
The problem applies quantization of angular momentum to the classical model of an electron
orbiting a nucleus.
Learning Goal:
To understand the Bohr model of the hydrogen atom.
In 1913 Niels Bohr formulated a method of calculating the different energy levels of the hydrogen atom. He
did this by combining both classical and quantum ideas. In this problem, we go through the steps needed to
understand the Bohr model of the atom.
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 Fall '08
 drake
 Energy, Photon

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