a) The wave functions of the electron in the hydrogen atom can be denoted by the quantum numbers, n, l, and m_l , which are the principal, the orbital, and the orbital magnetic quantum numbers. Each triplet, (n, l, m_l) denotes one orbital state. How many orbital states are there with principal quantum number n = 4? NOTE:If you don't have "n=4" then email me so I can fix the page. (Ignore the intrinsic spin of the proton and electron. We will consider intrinsic spin in Lecture 10.)

There are orbital states.

b) What is the greatest energy by which an f electron can be bound in the hydrogen atom? (The answer is a positive number. By convention binding energies are positive.)

E_max = eV.

c) What is the maximum z component, L_{z max}, of the angular momentum of an f electron in hydgrogen?

L_{z max} = h/(2p).

d) What is the numerical value (in units of in units of (h/(2p))²) of the magnitude of the square of the angular momentum, L², of an f electron in the hydrogen atom?

L² = (h/(2p))².