how many quantum states are there with n=3?

Question: not sure what the question is asking..what is meant by quantum states?

Answer: Every electron has a "state" that is described by 4 values: n, l,m_l,s where n = principle quantum number l = azimuthal quantum number m_l = magnetic quantum number s = spin quantum number For a given value of n, l can have values of 0,1,2,...,n-1 For a given l, m_l can have values of 0,1,-1,2,-2,...,l,-l s is always either +1/2 or -1/2 If you work it out, for a given n there are 2*n^2 possible quantum states. The reason for these values can be determined by lengthy derivations using Schrodinger equation, but I'd just take it at face value for now.

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