C, Te, and Si have two unpaired electrons in the ground state.
Explanation:
You must draw the electron configuration.
<u><em>C (carbon)</em></u>
Atomic number (Z): 12
Number of electrons: 12
Electron configuration of ground state, following Aufbau rules (filling orbitals in order of increasing energy):
1s² 2s² 2p²
Electron pairing following Hund's rules (fill different orbitals of same energy, with same spin, before adding a second electron, with opposite spin, to an orgital).
1s² 2s² 2px↑ 2py↑
As you see, these configuration shows two unpaired electrons (same spin) in the ground state.
<u><em>Te (tellurium)</em></u>
Z = 52
Number of electrons: 52
Aufbau's rule and short notation: [Kr] 5s² 4d¹⁰ 5p⁴
Hund's rule: [Kr] 5s² 4d¹⁰ 5px↑↓ 5py↑ 5pz↑
This configuration shows two unpaired elecctrons (same spin).
<u><em>Hf (hafnium)</em></u>
<u><em></em></u>
Z = 72
Number of electrons: 72
Aufbau's rule and short notation: [Xe] 4f¹⁴ 5d²6s²
This configuration shows that there are not unpaired electrons (the las orbital 6s is complete with 2 electrons)
<u><em>Si (silicon)</em></u>
<u><em></em></u>
Z = 14
Number of electrons: 14
Aufbau's rule and short notation: [Ne] 3s² 3p²
Hund's rule: [Ne] 3s² 3px↑ 3py↑
This configuration shows two unpaired electrons.
Conclusion: C, Te and Si, have two unpaired electrons (same spin) in the ground state.