Question

What is the maximum number of electrons in an atom that can have the quantum numbers $n=4,m=+1$?

• A. $4$
• B. $15$
• C. $3$
• D. $6$

Answer 1

Answer: (D)

$6$

If $n=4,$ azimutal quantum no. $l$ can have the valves $l=3\left(f\right),2\left(d\right),1\left(p\right),0\left(s\right)$ orbitals,

For a given $l,m=+l$ to $-l$

$\therefore$ When $lm=+1,$ $l\left(f\right),2\left(d\right),\left(1\right(p).$

$\therefore 3$ of them have same $m=+1$ . A given no. of $m$ represents an orbital & an orbital contains $2e^{-}s$.

$\therefore$ Total number of electrons in atom that can have $n=4$ $m=+1$ are $3\times 2=6$.