State the hydrogen atom energy formula.

What does negative energy mean for a hydrogen electron?

Find the energy of the \(n=2\) hydrogen level.

Find the energy of the \(n=4\) hydrogen level.

A hydrogen atom emits a photon in the transition \(n=3\to n=2\). Find the photon energy.

Find the ionization energy of hydrogen from the ground state.

List the allowed \(\ell\) values for \(n=3\).

List the allowed \(m_\ell\) values for \(\ell=2\).

How many \(m_\ell\) values exist for a given \(\ell\)?

State the orbital angular momentum magnitude for hydrogen.

Find \(L\) for \(\ell=1\).

State the \(z\)-component of orbital angular momentum.

Find \(L_z\) for \(m_\ell=-2\).

How many orbital states exist in the \(n=3\) shell before including spin?

How many electron states exist in the \(n=3\) shell including spin?

Why does the simple hydrogen energy formula depend only on \(n\), not on \(\ell\)?

Find the photon wavelength for the \(n=3\to n=2\) transition using \(hc=1240\,\mathrm{eV\,nm}\).

What is the physical difference between \(n\), \(\ell\), and \(m_\ell\)?

Why is the Coulomb potential for hydrogen negative?

Derive the allowed \(m_\ell\) count for a given \(\ell\).