The total number of magnetic quantum numbers for a $d$-orbital is given by

The principle which states that electron occupies the available orbitals singly before pairing in any one orbital occurs is known as:

The hydrogen-like species $Li^{2+}$ is in a spherically symmetric state $S_1$ with one radial node. Upon absorbing light,the ion undergoes transition to a state $S_2$. The state $S_2$ has one radial node and its energy is equal to the ground state energy of the hydrogen atom.
$1.$ The state $S_1$ is
$(A)$ $1s$ $(B)$ $2s$ $(C)$ $2p$ $(D)$ $3s$
$2.$ Energy of the state $S_1$ in units of the hydrogen atom ground state energy is
$(A)$ $0.75$ $(B)$ $1.50$ $(C)$ $2.25$ $(D)$ $4.50$
$3.$ The orbital angular momentum quantum number of the state $S_2$ is
$(A)$ $0$ $(B)$ $1$ $(C)$ $2$ $(D)$ $3$
Give the answer for questions $1, 2$ and $3.$

On what does the energy of hydrogen and hydrogen-like species depend? On what does it not depend?

The orbital with maximum energy is

If the magnetic quantum number of a given orbital is represented by $-3$,then what will be the minimum possible value of its principal quantum number $(n)$?