Answer is: B. The period 2 element would be more reactive because the attractive force of protons is stronger when electrons are attracted to a closer electron shell.
For example, fluorine (the period 2) is more reactive than bromine (the period 4).
Fluorine (F) is nonmetal with greatest electronegativity, which means it easily gain electrons.
Fluorine jas atomic number 9, which means it has 9 protons and 9 electrons. It gain one electron to form fluorine anion (F⁻) with stable electron configuration like closest noble gas neon (Ne) with 10 electrons.
Electron configuration of fluorine: ₉F 1s² 2s² 2p⁵.