Answer
a) $2s\gt 1s$.
b) $3p\gt2p$.
c) $3d_{xy} = 3d_{yz}$.
d) $3s = 3d$.
e) $5s\gt4f$.
Work Step by Step
In a hydrogen atom, there is only one electron; therefore, it has no shielding effect on other orbitals. Hence the energy of orbitals only depends upon the principal quantum number value. As the principal quantum number increases, energy also increases. The orbitals with the same principal quantum number have the same energy.
Hence the higher energy in the following sets is as follows.
a) $2s\gt 1s$.
b) $3p\gt2p$.
c) $3d_{xy} = 3d_{yz}$.
d) $3s = 3d$.
e) $5s\gt4f$.
