Electrons in uranium

Question

How many electrons in uranium have the quantum numbers of n=3 and l=2. I'm stuck on this.

Answer 1

When n = 3 and l = 2, the possible values for for m_l are -2, -1, 0, +1, and +2. Since there are five different possibilities, that means there are five different orbitals available on this sublevel. Each orbital can hold two electrons, so there are 10 electrons with those quantum numbers.