Model quantum mechanical problems:atomic systems

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21 Terms

1
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A- R because the radical function for 2s orbital has one node

2
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B-2

3
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C-4.11 × 10^15 Hz

4
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A- the maximum at r=0 (It would be B for r²wavelength² 1s)

5
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A- the energy only depends on the principal quantum number(n) and not on the angular momentum (l) or quantum number(m1)

6
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A-the energy of a state does not depend on the azimuthal quantum number only the principal quantum number(n)

7
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B

8
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D

9
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D because the triplet is lower

10
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B- spin-orbit coupling

11
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D

12
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B- E1s<E2s=E2p<E3s

13
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B- Ep+1<Ep0<Ep-1

14
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D- ± 1h

15
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C- r²R² against r

16
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C- pi

17
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A- 3s to 3p

18
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C- 6s6p5d^10 ³p1 to 6s²5d^10 1S0

19
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B- the electron-electron repulsion term

20
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B- 2 angular nodes and 1 radial node

21
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D-taking linear combinations of the imaginary functions