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Structure Of Atom

Question
CBSEENCH11005322

How many electrons in an atom may have the following quantum numbers?
(a) n = 4, ms = - 1/2              (b) n = 3,  l = 0

Solution
left parenthesis straight a right parenthesis space space space straight n space equals space 4 comma space space space straight m subscript straight s space equals space minus 1 half
Total space number space of space electrons space present space in space straight n space equals space 4
space Thus comma space 2 straight n squared space straight i. straight e. comma space 2 cross times 4 squared space equals space 32
Half space of space them space straight i. straight e. space 16 space electrons space have space straight m subscript straight s space equals space minus 1 half
left parenthesis straight b right parenthesis space straight n space equals 3 comma space space straight l space equals space 0 comma space means space 3 straight s space orbital comma space
thus space it space can space have space only space 2 space electrons.