For the electrons on a carbon atom in the ground state, decide which of the following statements are true. If false, explain why.

(a) Z_effe for an electron in a 1s-orbital is the same as Z_effe for an electron in a 2s-orbital.

(b) Z_effe for an electron in a 2s-orbital is the same as Z_effe for an electron in a 2p-orbital.

(c) An electron in the 2s-orbital has the same energy as an electron in the 2p-orbital.

(d) The electrons in the 2p-orbitals have spin quantum numbers m s of opposite sign.

(e) The electrons in the 2s-orbital have the same value of the quantum number m_s.