The electronic configuration (outermost) of $Mn^{2+}$ ion (atomic number of $Mn = 25$) in its ground state is

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:
$(1)$ $n = 4, l = 2, m_l = 2, m_s = -1/2$
$(2)$ $n = 3, l = 2, m_l = 1, m_s = +1/2$
$(3)$ $n = 4, l = 1, m_l = 0, m_s = +1/2$
$(4)$ $n = 3, l = 2, m_l = -2, m_s = -1/2$
$(5)$ $n = 3, l = 1, m_l = -1, m_s = +1/2$
$(6)$ $n = 4, l = 1, m_l = 0, m_s = +1/2$

What is the difference between the ground state and the excited state of a hydrogen atom?

What is the designation of an orbital with quantum numbers $n=4$ and $l=3$?

Which two factors affect the energy of an electron in an orbit? How?

Which of the following notations of an orbital is incorrect considering the sign of the wave function?