In Mn,the maximum number of electrons having m ,=+1/2 is ?

Electronic configuration of Mn :-.
 
1s22s2​2p63s2​3p6 4s 3d5

Total electrons = 25 

Electrons having spin quantum number = 1/2 is 1+1+3+1+3+1+3 = 13

Hence 13 electrons have spin quantum number 13 . 

No electron can have magnetic quantum number +1/2 
 
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Ans. is 15
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Answer is 15 electrons.. Because... 1s2 - 1 2s2 - 1 2p6 - 3 3s2 - 1 3p6 - 3 4s2 - 1 3d5 - 5(without filling the 5 blocks completely of the d orbital) the electrons cannot arrange themselves in pairs)
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since electronic configuration of the manganese is Ar18 4S2 3D5 up to 4S to every one electron out of two have M equal to plus one by two so there are maximum 15 electrons which have are equal to plus one by two
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