Figure 39.19 (a) Energy levels of the sodium atom relative to the ground level. Numbers on the lines between levels are wavelengths of the light emitted or absorbed during transitions between those levels. The column labels, such as ?S12, refer to certain quantum states of the atom. (b) When a sodium compound is placed in a flame, sodium atoms are excited into the lowest excited levels. As they drop back to the ground level, the atoms emit photons of yellow-orange light with wavelengths 589.0 and 589.6 nm. (a) Energy (eV) 5.12 (b) 2208.4 nm 1846.0 nm 568.8 nm nm Excited levels 3 k1138.2 nm 819 2 Lowest excited levels These wavelengths give excited sodium a yellow-orange color. Ground level -314.9 nih -616.1 40.4 tin 818.3 nm 589.0 nm- 342.7 nm.
Figure 39.19 (a) Energy levels of the sodium atom relative to the ground level. Numbers on the lines between levels are wavelengths of the light emitted or absorbed during transitions between those levels. The column labels, such as ?S12, refer to certain quantum states of the atom. (b) When a sodium compound is placed in a flame, sodium atoms are excited into the lowest excited levels. As they drop back to the ground level, the atoms emit photons of yellow-orange light with wavelengths 589.0 and 589.6 nm. (a) Energy (eV) 5.12 (b) 2208.4 nm 1846.0 nm 568.8 nm nm Excited levels 3 k1138.2 nm 819 2 Lowest excited levels These wavelengths give excited sodium a yellow-orange color. Ground level -314.9 nih -616.1 40.4 tin 818.3 nm 589.0 nm- 342.7 nm.
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Question
A sodium atom in one of the states labeled “Lowest excited levels” in Fig. remains in that state, on average, for 1.6 * 10-8 s before it makes a transition to the ground state, emitting a photon with wavelength 589.0 nm and energy 2.105 eV. What is the uncertainty in energy of that excited state? What is the wavelength spread of the corresponding spectral line?
Transcribed Image Text:Figure 39.19 (a) Energy levels of the sodium atom relative to the ground level. Numbers on the lines
between levels are wavelengths of the light emitted or absorbed during transitions between those levels. The
column labels, such as ?S12, refer to certain quantum states of the atom. (b) When a sodium compound
is placed in a flame, sodium atoms are excited into the lowest excited levels. As they drop back to the
ground level, the atoms emit photons of yellow-orange light with wavelengths 589.0 and 589.6 nm.
(a) Energy (eV)
5.12
(b)
2208.4 nm
1846.0 nm
568.8 nm
nm
Excited
levels
3
k1138.2 nm
819
2
Lowest excited levels
These wavelengths give excited
sodium a yellow-orange color.
Ground
level
-314.9 nih
-616.1
40.4 tin
818.3 nm
589.0 nm-
342.7 nm.
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