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Q. How many electrons in an atom have the following quantum numbers?
$n = 4$, $m_s = - 1/2$

Structure of Atom

Solution:

Total no. of electrons $= 2n^2$
if $n = 4$, no. of electrons $= 32$
Total number of electrons with $m_{s}=\frac{-1}{2}$ will be $16$.