An electron in a multielectron atom has `m_(f)=+4`. For this electron, what are (a) the value of l, (b) the smallest possible value of n, and (c ) the number of possible values of `m_(s)`?

Explanation

To solve the problem step by step, we need to analyze the given information about the electron in a multielectron atom, specifically focusing on the magnetic quantum number \( m_l = +4 \).

### Step 1: Determine the value of \( l \)
The magnetic quantum number \( m_l \) can take values ranging from \( -l \) to \( +l \) (including zero). This means that the possible values of \( m_l \) are:

\[ m_l = -l, -l+1, ..., 0, ..., l-1, l \]
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