The number of electrons which can be accommodated in an orbital is

Identify the nodal plane present in the $p_y$ orbital.

Identify degenerate orbitals from the following for a hydrogen atom.

List the quantum numbers ($l$ and $m_{l}$) for an electron in a $3d$ orbital.

The quantum numbers of six electrons are given below. Arrange them in order of increasing energy. If any of these combinations have the same energy,list them:
$(1)$ $n = 4, l = 2, m_l = 2, m_s = -1/2$
$(2)$ $n = 3, l = 2, m_l = 1, m_s = +1/2$
$(3)$ $n = 4, l = 1, m_l = 0, m_s = +1/2$
$(4)$ $n = 3, l = 2, m_l = -2, m_s = -1/2$
$(5)$ $n = 3, l = 1, m_l = -1, m_s = +1/2$
$(6)$ $n = 4, l = 1, m_l = 0, m_s = +1/2$

The two electrons occupying the same orbital are distinguished by: