The Balmer series for the hydrogen atom comprises electron energy transitions that end in then,= 2 state. E (eV) 0.00 -0,378 -0.544 2 -0.850 4 -1.512 -3.401 Balmer series Consider the four illustrated transitions, each shown by a downward arrow in this energy-level diagram for the hydrogen atom. Because these transitions all involve a hydrogen atom losing energy, they each correspond to the emission of a photon. (a) What is the initial quantum number, n, of the transition that generates the photon with the longest wavelength? (Restrict your attention to the four illustrated transitions.) (b) What is the energy (in ev) of that longest-wavelength photon? ev (c) What is its wavelength (in nm)? ENERGY

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The Balmer series for the hydrogen atom comprises electron energy transitions that end in the ne = 2 state.
E (eV)
00
0.00
5
4
-0.378
-0.544 2
-0.850 4
-1.512
2
-3.401
Balmer
series
Consider the four illustrated transitions, each shown by a downward arrow in this energy-level diagram for the hydrogen atom. Because these transitions all involve a hydrogen atom losing energy, they each correspond to the emission of a photon.
(a) What is the initial quantum number, n, of the transition that generates the photon with the longest wavelength? (Restrict your attention to the four illustrated transitions.)
n; =
(b) What is the energy (in eV) of that longest-wavelength photon?
ev
(c) What is its wavelength (in nm)?
nm
ENERGY
Transcribed Image Text:The Balmer series for the hydrogen atom comprises electron energy transitions that end in the ne = 2 state. E (eV) 00 0.00 5 4 -0.378 -0.544 2 -0.850 4 -1.512 2 -3.401 Balmer series Consider the four illustrated transitions, each shown by a downward arrow in this energy-level diagram for the hydrogen atom. Because these transitions all involve a hydrogen atom losing energy, they each correspond to the emission of a photon. (a) What is the initial quantum number, n, of the transition that generates the photon with the longest wavelength? (Restrict your attention to the four illustrated transitions.) n; = (b) What is the energy (in eV) of that longest-wavelength photon? ev (c) What is its wavelength (in nm)? nm ENERGY
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