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Structure Of Atom

Question
CBSEENCH11005321

(i) An atomic orbital has n = 3. what are the possible values of l and ml ?

(ii) List the quantum number (ml and l) of electrons for 3d orbital.

(iii) Which of the following orbitals are possible: 1p, 2s, 2p, and 3f?

Solution

(i) For n = 3;  l = 0, 1 and 2
For l = 0,       m= 0
For l =1,        m = -1, 0+1
For l = 2,       m = -2, -1, 0,  +1, +2
(ii) For 3d orbital, n = 3, l =2  
For l =2, m= -2, -1, 0, +1, +2
(iii) 1 p is not possible because when n = 1, l = 0 only (For p, l = 1)
2s is possible because when n =2,  l = 0, 1(For s, l = 0)
  2p is possible because when n=2, l = 0, (For p, l = 1)
3f is not possible because when n = 3,  l = 0, 1, 2(For f, l = 3).