Explain giving reasons , which of the following sets of quantum numbers are not possible .
a) `n=0,l=0,m_(l)=0,m_(s)=+(1)/(2)`
b) `n=1,l=0,m_(l)=0,m_(s)=-(1)/(2)`
c) `n=1,l=1,m_(l)=0,m_(s)=+(1)/(2)`
d) `n=2,l=1,m_(l)=0,m_(s)=+(1)/(2)`
e) `n=3,l=3,m_(l)=-3,m_(s)=+(1)/(2)`
f) `n=3,l=1,m_(l)=0,m_(s)=+(1)/(2)`

Explanation

Following set of quantum numbers are not possible.
`n=0,l=0,m_(l)=0,m_(s)=+(1)/(2)`
Reason:
.n. is principal quantum number, whose values are from 1 to n. The value of .n. never equal to zero. But given n = 0.
c) `n=1,l=1,m_(l)=0,m_(s)=+(1)/(2)`
Reason :
Values of .l. are from 0 to (n-1).
If n=1 then the value of .l. is zero not equal to .l.
e) `n=3,l=3,m_(l)=-3,m_(s)=+(1)/(2)`
Reason:
If n = 3, possible values of .l. are 0, 1, 2, but not equal to .3..