**Part A**

The number of states = 2n^{2}

if n = 5, the possible values of l = 0, 1, 2, 3, 4

Part A.

The quantum state of a particle can be specified by giving a complete set of quantum numbers (*n*, *l*, *m** _{l}*,

To find the total number of allowed states, first write down the allowed orbital quantum numbers *l*, and then write down the number of allowed values of *m*_{l} for each orbital quantum number. Sum these quantities, and then multiply by 2 to account for the two possible orientations of spin.

Express your answer as an integer.

Part B.

What is the maximum angular momentum *L*_{max} that an electron with principal quantum number *n* = 4 can have?

Express your answer in units of h. (You don't need to enter the h, it is in the units field for you.)

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