Final answer:
The elements in the second period of the periodic table have the same core-electron configuration as the element neon, represented by the electron configuration 1s²2s²2p⁶.
Step-by-step explanation:
The elements in the second period of the periodic table have a core-electron configuration that is the same as the electron configuration of neon.
To determine which period of the periodic table shares the same core electron configuration as neon, one has to look at the arrangement of the electrons within the elements. The electron configuration of neon, which is in the second period, ends with the configuration 1s²2s²2p⁶. This electron configuration indicates that neon has a full 2s and 2p sublevel, making its electron configuration representative of the second period. This is highlighted by elements such as sodium (Na), with an electron configuration of 1s²2s²2p⁶3s¹, where the first ten electrons (1s²2s²2p⁶) represent the core electrons that match neon's electron configuration.
Sodium is the first element in the third period, but its core (or inner-shell) electrons up to 1s²2s²2p⁶ are the same as those of the noble gas neon, from the second period. Therefore, the answer to the question is option B) second. This is known as the noble gas configuration, where the core electron configuration matches that of the closest noble gas of a lower atomic number, in this case, neon (Ne).