Final answer:
The atomic radius decreases from left to right across a period due to the increasing number of protons, which cause electrons to be held more closely, fulfilling option 1: 'More closely, increasing, protons'.
Step-by-step explanation:
The atomic radius decreases from left to right across a period on the periodic table. This is because the number of protons in the nucleus increases, causing a stronger nuclear charge that pulls electrons closer to the nucleus. As a result, the electrons are held more closely by the increasing number of protons.
The correct completion of the sentence provided by the student would be option 1: 'More closely, increasing, protons'. This reflects the periodic trend that the attraction force between the positively charged nucleus and the negatively charged electrons becomes stronger as more protons are added to the nucleus, resulting in a smaller atomic radius.
The trend across the period for atomic radius can also be affected by electron-electron repulsion, which is why sometimes there are exceptions to the general trend, such as the slight increase in radius from nitrogen to oxygen.