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Question

How many electrons in an atom may have the following quantum numbers?
(a) n = 4, m=12
(b) n = 3, l = 0


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Solution

(a) Total number of electrons in an atom for a value of n = 2n2
For n = 4,
Total number of electrons = 2 (4)2=32
The given element has a fully filled orbital as
1s22s22p63s23p64s23d10.
Hence, all the electrons are paired.
Number of electrons (having n = 4 and m12=(32×12) =16 electrons

(b) n = 3, l = 0 indicates that the electrons are present in the 3s orbital. Therefore, the number of electrons having n = 3 and l = 0 is 2.


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