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How many possible combinations are there for the values of l and ml when n = 2?

Express your answer as an integer.

? = possible combinations

Answer :

The possible combinations are for the values of l when n = 2 is two values 0,1 and ml is -1,0,1

The n is the principal quantum number

l is the azimuthal quantum number

ml is the magnetic quantum number.

The formula to find the azimuthal quantum number is

            l = 0,1,2,3 .......n-1

If n = 2, the azimuthal quantum number,

            l = 0, 1

Then, the ml can be found using the formula,

           ml = 2l +1

For l = 0 , ml = 2(0) + 1

                    = 1

Therefore, ml will have only one value, which is 0

For l =1 , ml = 2(1) + 1

                  = 3

Therefore, the ml will have three values, they are -1,0,1

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