The quantum numbers of six electrons are given below. Arrange them in order of increasing energies. If any of these combination(s) has/have the same energy lists:
` 1. n=4 , l=2 , m_(i) =-2, m_(s) =-1//2 `
`2. n=3 , l=2 , m_(l) =1 , m_(s) =+1//2`
3.`n=4 , l=2 ,m_(l)=-2, m_(s) =-1//2`
4. ` n=3 , l= 2, m_(i) =-1 , m_(s) = +1//2`
5. ` n=3 , l=1 , m_(l) =-1 , m_(s) = +1//2`
6. `n=4 , l= 1 , m_(l) =0 , m_(s) =+1//2`

Explanation

To solve the problem of arranging the given quantum numbers in order of increasing energies, we will follow these steps:

### Step 1: Identify the Principal Quantum Number (n) and Azimuthal Quantum Number (l)
The energy of an electron in an atom primarily depends on the principal quantum number (n) and the azimuthal quantum number (l). The general order of energy levels is determined by the values of n and l. The energy increases with increasing n, and for the same n, it increases with increasing l.

### Step 2: List the Given Quantum Numbers
We have the following quantum numbers for the six electrons:
1. (n=4, l=2, m_i=-2, m_s=-1/2)
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