What are all the possible sets of four quantum numbers for the following:?

The first energy level?
The second energy level?

Answer:
1)

n = 1
l = 0
ml = 0
ms = -0.5, +0.5

2)

n = 2
l = 0 (s orbit) or l = 1 (p orbit)
ml = 0 or ml = -1,0,1
ms = -0.5, +0.5
first level
n = 1, l = 0, ml = 0, ms =1/2, -1/2

Second level
n = 2, l= 0 ml = 0, ms =-1/2,1/2
l = 1, ml = -1, 0, 1, ms =-1/2,1/2 for each ml
first energy level
n = 1
l = 0
ml = 0
ms =1/2 or -1/2

Second energy level
n = 2
l= 0 or 1
ml = -1, 0 or 1
ms =1/2 or -1/2

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