What is the maximum number of orbitals that can be identified with the following quantum numbers?
n = 3, l = 1 and ml = 0
(a) 1
(b) 2
(c) 3
(d) 4
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Answer is : (a) 1
The given value of n = 3 suggests that the shell is 3. For n = 1, l has 3 values, i.e. +1, 0 and −1 hence there occur 3 orbitals in p-subshell namely px, py and pz. Thus, the given values for n = 3, l = 1 and ml = 0 suggests that the orbital is 3py. Hence, the maximum number of orbitals that can be identified with given quantum number is only 1.