The figure indicates the lowest energy levels (in electron-volts) for five situations in which an electron is trapped in a one-dimensional infinite potential well. In wells B, C, D, and E, the electron is in the ground state. We shall excite the electron in well A to the fourth excited state (at 25 eV). The electron can then de-excite to the ground state by emitting one or more photons, corresponding to one long jump or several short jumps. Which photon emission energies of this de-excitation match a photon absorption energy (from the ground state) of the other four electrons? Give the n values. [Note: The second excited state of well B should have an energy of 18 ev instead of 19 eV.] 25 19 16 16 12 9 8 4 E O n = 5 to n = 4 O n = 5 to n = 3 O n = 5 to n = 2 O n = 5 to n = 1 O n = 4 ton = 3 O n = 4 ton = 2 O n = 4 ton = 1 O n= 3 ton = 2 O n = 3 ton = 1 O n = 2 ton = 1

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The figure indicates the lowest energy levels (in electron-volts) for five situations in which an electron is trapped in a one-dimensional infinite potential well. In wells B, C,
D, and E, the electron is in the ground state. We shall excite the electron in well A to the fourth excited state (at 25 eV). The electron can then de-excite to the ground
state by emitting one or more photons, corresponding to one long jump or several short jumps. Which photon emission energies of this de-excitation match a photon
absorption energy (from the ground state) of the other four electrons? Give the n values. [Note: The second excited state of well B should have an energy of 18 ev instead
of 19 ev.]
27
25
20
19
-16
-16
-12
9
8
-4
3
2
A
B
D
E
O n = 5 ton = 4
O n = 5 ton = 3
O n = 5 ton = 2
O n = 5 ton = 1
O n = 4 ton = 3
O n = 4 ton = 2
O n = 4 ton = 1
O n = 3 to n = 2
O n = 3 to n = 1
O n = 2 to n = 1
Transcribed Image Text:The figure indicates the lowest energy levels (in electron-volts) for five situations in which an electron is trapped in a one-dimensional infinite potential well. In wells B, C, D, and E, the electron is in the ground state. We shall excite the electron in well A to the fourth excited state (at 25 eV). The electron can then de-excite to the ground state by emitting one or more photons, corresponding to one long jump or several short jumps. Which photon emission energies of this de-excitation match a photon absorption energy (from the ground state) of the other four electrons? Give the n values. [Note: The second excited state of well B should have an energy of 18 ev instead of 19 ev.] 27 25 20 19 -16 -16 -12 9 8 -4 3 2 A B D E O n = 5 ton = 4 O n = 5 ton = 3 O n = 5 ton = 2 O n = 5 ton = 1 O n = 4 ton = 3 O n = 4 ton = 2 O n = 4 ton = 1 O n = 3 to n = 2 O n = 3 to n = 1 O n = 2 to n = 1
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