Which quantum number provides information about the shape of an orbital?

The maximum number of electrons that can have principal quantum number,$n=3$,and spin quantum number,$m_s=-1/2$,is

Assertion :- In $H$-atom,the energy of $3d$-level is smaller than $4s$-level.
Reason :- In multi-electron species,an orbital with lower value of $(n+\ell)$ has energy smaller than the orbital with larger value of $(n+\ell)$.

The correct order of energy for orbitals is:

Which quantum number is not related to the Schrodinger equation?

For hydrogen-like atoms,the average distance of an electron from the nucleus for the orbitals belonging to the $4^{th}$ orbit is minimum for: