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As the interaction between the nucleus and the electron determines the structure of the energy levels of the H atom, any quantum object that has a positively and a negatively charged particle with no other interactions should have a similar structure of energy levels. Consider a very unusual 'H atom', where the positevely charged particle is a positron (the antimatter particle of the electron, same mass as the electron, but opposite charge). Calculate the first two energy levels for this unusual atom in eV. What wavelength (in nm) for a transition between these two energy levels?

Question

As the interaction between the nucleus and the electron determines the structure of the energy levels of the H atom, any quantum object that has a positively and a negatively charged particle with no other interactions should have a similar structure of energy levels. Consider a very unusual 'H atom', where the positevely charged particle is a positron (the antimatter particle of the electron, same mass as the electron, but opposite charge). Calculate the first two energy levels for this unusual atom in eV. What wavelength (in nm) for a transition between these two energy levels?

check_circleAnswer
Step 1

The first two energy levels are...

For Hydrogen atom
1
- Rg
R 2.179 x 1018 J
Energy level, E
n
1
- Rg
-2.179
x10-18
_
H
2
n
1 J 6.242x 108 eV
-2.179 x1018 J
11
X
-13.6 eV
11
1
E2 RH
-Ru고-
-(2.179 x10-18
= -5.45 x10-19 J
- -3.4 eV
11
Hence, the first two energy levels are -13.6 eV and -3.4 eV
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For Hydrogen atom 1 - Rg R 2.179 x 1018 J Energy level, E n 1 - Rg -2.179 x10-18 _ H 2 n 1 J 6.242x 108 eV -2.179 x1018 J 11 X -13.6 eV 11 1 E2 RH -Ru고- -(2.179 x10-18 = -5.45 x10-19 J - -3.4 eV 11 Hence, the first two energy levels are -13.6 eV and -3.4 eV

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