# Question #f86af

Sep 28, 2017

The answer is D. $2$

#### Explanation:

The subshell in which an electron is located inside an atom is given by the angular momentum quantum number, $l$.

The $3 d$ subshell, just like any other $d$ subshell, is characterized by

$l = 2$

Now, the magnetic quantum number, ${m}_{l}$, which tells you the orientation of the orbital that holds the electron, depends on the value of the angular momentum quantum number as given by

${m}_{l} = \left\{- l , - \left(l - 1\right) , \ldots , - 1 , 0 , 1 , \ldots , \left(l - 1\right) , l\right\}$

This means that an electron located in the $d$ subshell can have

${m}_{l} = \left\{- 2 , - 1 , 0 , 1 , 2\right\}$

You can thus say that the $d$ subshell can hold a total of $5$ orbitals, each denoted by a specific value of the magnetic quantum number.

As you can see, the only value given to you that is a match here is D. $2$.