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Question:

Explain giving reasons which of the following sets of quantum numbers are not possible. (a) n=0, l=0, m1=0, ms=+1/2 (b) n=1, l=0, m1=0, ms=-1/2 (c) n=1, l=1, m1=0, ms=+1/2 (d) n=2, l=1, m1=0, ms=-1/2 (e) n=2, l=3, m1=-1, ms=+1/2 (f) n=3, l=1, m1=0, ms=+1/2

Solution:

(a) As zero value for n is not possible, this set of quantum numbers is not possible (b) This set of quantum numbers is possible (c) Asl=1is not possible forn=1, this set of quantum numbers is not possible. For a given value of n, l can have values of0,1,2...nð•’µonly (d) This set of quantum numbers is possible (e) Asl=3is not possible forn=3, this set of quantum numbers is not possible. For a given value of n, l can have values of0,1,2...nð•’µonly (f)This set of quantum numbers is possible.