# How many different values of mℓ are possible when the principal quantum number is n = 5?

0

I’ve tried the values 25, 50, 11, and 3. All are wrong. I’m down to my last two responses and am asking for any help.

• ml will depend on the value of l which in turn depends on n.

So, for n=5 the possible values of l are 0, 1, 2, 3, 4. (corresponding to s, p, d, f, g)

For each value of l, ml will go from -l to +l or as follows:

l = 0 ml = 0 (1 value)

l = 1 ml = -1 0 +1 (3 values)

l = 2 ml = -2 -1 0 +1 +2 (5 values)

l = 3 ml = -3 -2 -1 0 +1 +2 +3 (7 values)

l=4 ml = (9 values)

Total values = 1 + 3 + 5 + 7 + 9 = 25 possible values of ml, so it looks like your first guess was correct.

Unless they mean that the different values range from -5 to zero, then the answer would be 11, but that was also one of your guesses.

Strange question indeed.

• l = n – 1

So, for n = 5, that means l = 4

Values of ml vary from -l to +l, which means there are 9 possible values

Also Check This  Nathan’s score on the WAIS was 105. Nathan’s score indicates that he is in the:?