The Balmer series for the hydrogen atom corresponds to electronic transitions that terminate in the state with quantum number n = 2 as shown in the figure below. Consider the photon of longest wavelength corresponding to a transition shown in the figure. E (eV) 0.00 -0.544 2 -0.850 4 -1.512 2 -3.401 Balmer series (a) Determine its energy. ev (b) Determine its wavelength. nm Consider the spectral line of shortest wavelength corresponding to a transition shown in the figure. (Be sure to consider all values of n, not just those indicated by the arrows in the figure.) (c) Find its photon energy. ev (d) Find its wavelength. nm (e) What is the shortest possible wavelength in the Balmer series? nm ENERGY

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The Balmer series for the hydrogen atom corresponds to electronic transitions that terminate in the state with quantum number n = 2 as shown in the figure below. Consider the photon of
longest wavelength corresponding to a transition shown in the figure.
E (eV)
0.00
-0.544 2
-0.850 4
-1.512
2
--3.401
Balmer
series
(a) Determine its energy.
ev
(b) Determine its wavelength.
nm
Consider the spectral line of shortest wavelength corresponding to a transition shown in the figure. (Be sure to consider all values of n, not just those indicated by the arrows in the figure.)
(c) Find its photon energy.
ev
(d) Find its wavelength.
nm
(e) What is the shortest possible wavelength in the Balmer series?
nm
ENERGY
Transcribed Image Text:The Balmer series for the hydrogen atom corresponds to electronic transitions that terminate in the state with quantum number n = 2 as shown in the figure below. Consider the photon of longest wavelength corresponding to a transition shown in the figure. E (eV) 0.00 -0.544 2 -0.850 4 -1.512 2 --3.401 Balmer series (a) Determine its energy. ev (b) Determine its wavelength. nm Consider the spectral line of shortest wavelength corresponding to a transition shown in the figure. (Be sure to consider all values of n, not just those indicated by the arrows in the figure.) (c) Find its photon energy. ev (d) Find its wavelength. nm (e) What is the shortest possible wavelength in the Balmer series? nm ENERGY
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