Question

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

• A. $4$
• B. $15$
• C. $3$
• D. $1$
• E. $6$

Answer 1

The correct option is E $6$

Now if $n=4,l$ can have four values,

$l=3\left(f\right),2\left(d\right),1\left(p\right),0\left(s\right)$

m will range from,$m=(-l,l)$

Thus for $m=+1,l$ can be,

$l=3\left(f\right),2\left(2d\right),1\left(p\right),0\left(s\right)$

So they have same, $m=+1$

'm' represents an orbital and an orbital n as 2 electrons.

Thus for each $m=(+1)$ it will have 2 electron

Total electron$=3\times 2=6$ electrons

Hence, the correct option is $\text{E}$