for option 1:
This is valid
for option 2:
This is valid
for option 3:
Value of l is 1
So, valid values of ml are [-1, 0, 1]
so, ml can't be 2
Hence, this is not valid
for option 4:
ms can be -1/2 or 1/2.
It can’t be -1
Hence, this is not valid
for option 5:
l must be less than n
Here value of n is 5
But value of l is 5
so, l can't be 5
Hence, this is not valid
for option 6:
l can't be negative
l can't be -1
Hence, this is not valid
Answer: option 1 and 2
Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron...
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